WordProLWP7    .E╒Mс6QhWord Pro Text File/DFBЙдC!└@PP@ЫANSI (Windows, IBM CP 1252)PP-P@ЫUsing mathematics in e-mailP @ УSteve Mayer╝е┴4ыРа8kQB@@ @ КSteve MayerH@ASMXP └p@@ЫUNIVERSAL_ALL_OTHERS_EDITOR@FOTR    X@@@q └pcPP`@@q └pcPP` └ @ ЛSteve Mayer@ESM    X@@@q └pcPP`@@q └pcPP`ФD┴@QEB PP └p ╝Фж─\2@M@чp= ╝Ф\┴╫CжFffчp= ╣ФU┴█BXF@SfцI╝ФЛ q╫@T╘p= ╣Ф╡─`3CffSH6cfц ╣ФX╠U`ffSЩЩ9╜Фz>q└p╗Фj─cAP6BЩЩ9P6P6(╗Ф[┼DcH6B╠╠P6BЩЩ(╗Фc┼[jH6BЩЩP6Bff (├Фn┴╙A9A]fц├ФД qФAy┼Ф▀ su@@@╟Фp4┴рCЗP@P@@@pPp@@@P └@@@PB╠╠ P╚Фo ┴▐CrL  H@ ЛDefault Text╞Фт  └@@@└└d└@─Ф▌ sК@@@╟Фн┬Мp└@@@ └├Ф╙ ┴╩Dny╗Ф═ ┴─AЎ%└@p@ ┴Ф╘└ ╜Ф└3#┴zA:@@HАx@HАx@HАx@HАx`╝Ф╫┴ЛC\M@├p= ╗ФЎ┴═ECf&Bf&Bf&Bf&(╗ФC(┴ЎEDf&BfжBf&Bfц┬А  BА  BА  BА  ╟Фр +spP@P@@@pPp@@@P └@@@P╚Ф▐soL  H @ ЙTable Text╗ФD/(╚C[f&BfцBf&Bfц┬А  BА  BА  BА  ║Ф┴╤C5AшJЩЩ B3s┐ФГ └LBЇ│@@│B╓.L@║Ф5╞[AшJЩYB3s║Ф[╞5oAшJfц1B33║Фo╞[ГAшJЩYI@║ФГ╞oЧAшJfц5I@║ФЧ╞ГлAшJffB33║Фл╞Ч└AшJ3є]B3│║Ф└╞л╘AшJЩ#Bff║Ф╘╞└шAшJ╠╠(Bf&║Фш╞╘№AшJ3єBff║Ф№╞шAшJ3│cB33║Ф╞№$AшJЩ B33║Ф$╞4AшJfц4IА║Ф4─$B@AшJ3│.B╠ ╔Фс sИ@ @@P@ZФZФ ZФ ZФ ZФОФ% └pH@PАZФ ═Ф*═Ф+ОФ' └pH@PАОФ& └pH@PАОФ( └pH@PАОФ) └pH@PА═Ф-═Ф,═Ф1═Ф2═Ф3═Ф4═Ф5ZФZФZФZФ(Ф(ФйФ /Ф7└└(Ф8(Ф9╕Ф6(Ф:(Ф;(Ф<(Ф=ZФ┴3ZФ┴HZФ┴PZФ┴@ZФ┴:ZФ┴╒ZФ┴ГZФZФ┴╘Z ZФ┴GZКZБZФ┴тZнZ СZ!НZ"ЭZФ#ZФ$═Ф0═Ф.═Ф/░Ф@H@@ ▒ФAA└PP@P`@@P`@@Pp@P`└@@HАx``└@@HАx``PйФОФE └q@@PАмФB─   @@EField1HPP@EField2HPP@EField3HPP@EField4HPP@EField5HPP@EField6HPP@EField7HPP@EField8HP╝Ф2─ж@@PHBp= ╠Фm╞fЧ@@@Rl╛Ф╒└╣Ф█ ┴ЗBUH╠ФЭ┬Чp@@@RЬ╣ФЗ q█QdHH╗ФЦ┴НA┐PHBЩЩPHBff (├ФФ ┴ДA╩Ay╣Ф`╔X╡ffSH6╣Ф3 ┬╡└HPH╠ФЧ╞mЭ@@@RЦ╗ФНqЦPHBff PHBЩЩ(╗ФA'─jEBЩЩBЩЩBЩЩBЩЩRЩЩBЩЩBЩЩBЩЩ├Ф9─nGDЩЩBЩЩA┼Фu┴▀C{@@@rffBff╟ФЗ9╞pМP@P@@@pPp@@@PBЩЩPP@@@PBЩЩP╚Фr╞otL  H @ КBody Single─ФК┴▌x@@@P ╟ФМ9╞ЗнP@P@@@pPp@@@PB33PP@@@PBЩЩP╠Ф┌s_@@@Q┘├Ф╩ ┴ФA╙Ay║Ф╤┴╦CAшJ|ю░B╜6M╗Ф─ ┴┐A═Bffbff┬А  BА  BА  BА  ║Ф╦q╤@AшHRxз┤┬Ф 1┴ъx@@3@<@▓Pc@PPP<@▓Pc@PPP<@▓Pc@@A-P╜Ф: ┴└x@Pp@Pp@Pp@Pp`┬Фъ1s @@-@<@▓Pc@PPP<@▓Pc@PPP<@▓Pc@@A-P║ФB─4H@AшJЩЩBЩЩ╔ФИ┴сCН@@@P@║ФH ┴BxAш╗ФP ┴M┬ff,╝Ф@┴2xB╬╠>Bp= ├ФG ┴9yz┼ФБ┬{p@@@`PP╚ФС┬ПpL  H@EFooter╔ФН┬Иp@@@P@╠Фf╞_m@@@Re&ФlKp P$@@hH@@hl@@hР@@h┤@@h╪@@h№@@j @jD@jh@jМ@j░@&ФЬpPъ@@j╘@╗Ф┐┴ЦA─Bffbff,&ФЦpPъ@@j╘@╗ФE┴AAM8┼Ф{╞uБ@@@RffBffBff╚Фt╞rzL  H@EBullet╠Ф_┴┌Cf@@@R^&Ф┘ ╗ФM ┴EAPBff4╚ФП╞ЛСL  H@EHeader&ФepPъ@@j╘@╚Фz╞tАL  H @GBullet 1&Ф^pPъ@@j╘@╚ФЛ╞ЖПED  H@DTitle╚ФА╞zЖL  H @ КNumber List╚ФЖ╞АЛL  H @FSubheadбФеH$ЫФ ┴FAFxQЫФG ┴@QFФr%┴F@@EBodysBPP@EBodyЪ@p йH┤╣ Ф┤┬╣qЪ└P└ПФtМ ┴ТAБAX@@ ЛDefault PageQ(A@IОQПИXAБ └@CPage├mH@@СDefault Page Styleh$@@ ЛDefault TextJUtjz └l\╒└@@ETray 1H$ПФЪ9q╗GЪФV@i(H@IБ└A╗AУP@CPageIгAt-└Bж└ Фг+┴фy╚A╚Ah@QЪ ┬,@FStoryм ┴иD╢ПОФs └q@@PАМФЪX┬Ф ┴Ъ@i H@IQПH@A/BФH@EFooterLЮУBЭB╡tcz └@\\╒┴XRnIq=МФУt┴ВA/yW@@НDefault FooterQ H@BPR╨AЪAТP@EFooter└H@@УDefault Footer StyleIЗyЦyГ` @YЛ┴XQФОФV ┴╗AЪxpA@PА ФЮ0┼аШqh@RЪ┬,@НStoryаШ"gЯЯПЛФФSrЪqЪ@i H@IQПHP@EЪ=H@EHeaderLШВBЧBXt[z └@\\╒┴XQДЛФВqqУyW@@НDefault HeaderQ H@BPRP╨AТAБP@EHeader└H@@УDefault Header StyleIЗyНyГ` @YЛ┴XQД ФШ-┼ЮВqh@RФ┬ @КStoryЮВWЩЩПФи╪┬л ├ПM@чьQAг@B┤┐It is an ironic and frustrating fact that, although computers we re invented by mathematicians, the one thing that is extraordinaїrily difficult to type on computers is mathematics. SSEndФЩL└PAП├ШDВ@HЦMATHEMATICS USING В@B@ @ @ └FEMAILSSEnd/Фh ┴гAx└ @ФПКWq▄└@ ЛDefault TextP@@@@Y@@СDefault Text StyleX@@@└xq▌Dp▀AтDoс░Фq └@@@a ФЯn └ ┴ aП├ЮDВ@H РSteve Mayer Щ@B@ @ @ └ИвВ@HУ8 February 2000Щ@HEвSSEnd╙ФJ ┬!rKWФв5rI └jЮsJ@@PEЯЯH @ НNow() %Dcа@F@дл!─оиPYПM@ч╬╠FAг@BS┐Most people have come across the fact that typing a half is done╓ using 1/2 or else ВHHд┐one has to press a weird key combination, but there's no alterna tive for most fractions. Many sophisticated word processors and шdesktop publishing programs do have В@HУequation editorsВHH>┐ to enter mathematical symbols but most of them are cumbersome└Б┐, some are buggy and all are awkward to use especially for more  than the odd formula. Specialist software is also very expensive┬.TPAlnA▌DPSpcFнSEndдоЕ┼░лHH AП┴г@BB┐Worse still, these editors are absolutely no use when it comes t╞o В@ @ @ └Иemail.Ї┐ You have to resort to the lowest common denominator called ASCI I or Text and attempt to use ordinary symbols. There's yet more  bad news. With the widespread use of proportional fonts, trying їto line text up using spaces can be next to useless.TPAlnA▌DPSpcFнSEndд░┼▓оHHAПM@чьQAг@BЪ┐This is a guide to writing mathematics using only normal symbols . Much of it is a compromise and may not be satisfactory as it c▐an be quite hard to read. В@ @ @ └ НHandwrittenа mathematics is still the best.TPAlnA▌DPSpcFнSEndФ▓2┼╢░HYПM@чЎ(Aг@ATPAlnA▌DPSpcFнSEndФ╢9s▓@J║J╖YП┴г@BA╗ATPAlnA▌DPSpcFнSEndmФ╗^┴Ъy╨A╨AV@i!@JБR┐Ш@0@A╜AЪP @ ЙSuperTableI╚A╔A┌┴═AzAГ ┼╢╫A╒y╘aXQ╙sФ╚' ┴╧A╧Aг@Q╗ └ @ @ ЛSuperTable╧A║Ф╨A ┴·D╗@i!H@BВQВJ0PAуA╔P@DTableI╧┴█A╤┴ГP┴ўФ╧: ┴ D@╚@Q╨ └ @@FTableфA╚X@B BeжХBЎи@A╨Aы mФ╔j┴Y@@ МDefault TableQ!H└@@ИRВB0PA╨A╜P @ ЙSuperTable└H@@ТDefault Table Style┴╦A═yГ)└A╩#Фў┴)┴╨@i H@PА└A∙Aыb╠ p#Ф)┴∙Aўy╨@i H@PА└yRPBЪЪ#Ф∙q)y╨@i H@PА└A·AўPB  ▌ Ф·2┬q№D╨@i`A@BАp0@A№A∙P@BRowZЎиP Ф6─·G*╨@i`A@BАp0@D№P@BRowHBЎиP Ф7═/>╨@i`A@BАp0@EH@BRowHBЎиP Ф/7═C0P╨@i`A@BАp0@E0*H@BRowHBЎиP ФC7═U/Dd╨@i`A@BАp0@ED>H@BRowHBЎиP ФU7═iCVx╨@i`A@BАp0@EVPH@BRowHBЎиP Фi7═}UjМ╨@i`A@BАp0@EjdH@BRowHBЎиP Ф}7═Сi~а╨@i`A@BАp0@E~xH@BRowHBЎиP ФС7═е}Т┤╨@i`A@BАp0@EТМH@BRowHBЎиP Фе7═║Сж╔╨@i`A@BАp0@EжаH@BRowH BЎиP Ф║7═╬е╗▌╨@i`A@BАp0@E╗┤H@BRowH BЎиP Ф╬7═т║╧ё╨@i`A@BАp0@E╧╔H@BRowH BЎиP Фт7═Ў╬у╨@i`A@BАp0@Eу▌H@BRowH BЎиP ФЎ7═ тў╨@i`A@BАp0@EўёH@BRowH BЎиP Ф 7═Ў -╨@i`A@BАp0@E H@BRowHBЎиP Ф5w =┬╨@i`A@BАp0@EH@BRowHBЎиPФ№;┬  ┴·@i H@PАR PD·P@CCellI Aы─C└─ zФ=r q·@i H@PАR PE H@CCellLы─C└ └d zФ ?─№y·@i H@PАR PEH@CCellL ы─C└ └d z═[ПШыCX┴уALyZ@@BAP1Q H@PИRДPAўAуP@CCellIьA╜xX$@ @ ЙTable Text┴ЎAzAГ ┴ъAzZIJ╥Ф!uJ"Z" OФ ┬6└i║F!OФ6┼H  └i╣F!OФH┼\6 └i╕F0!OФ\┼pH └i╖FD!OФp┼Д\ └i╢FV!OФД┼Шp └i╡Fj!OФШ┼мД └i┤F~!OФм┼┴Ш └i│FТ!OФ┴┼╒м └i▓Fж!OФ╒┼щ┴ └i▒F╗!OФщ┼¤╒ └iмF╧!OФ¤┼щ └i░Fу!OФ┼%¤ └iпFў!OФ%┼5 └iоF !OФ5r% └iнF!Ф╜{qуyZ@@ ЛDefault CellQ`H@@@ИRА@0@A╔A╗P@CCell└H@@ЧDefault Table Cell Styleh$@@ ЛDefault Text┴─A└AГ┴z Ф )┬  ┴╧@Q№ └,@@ЙStory ь_▄ Фь*─Eфyh@Qы ┬(@FStory AфYэAэAПФ.└Z▄I└kBї(A @DВX МMathematicsSSEndФ▄G┴ПBq └ @ ЙTable TextP@@@@Y@p@@@└AП@q▌AрA▀AтA▐AсФ@┬% ├i A@PАR PE H@CCellI║Aы╟D└ └ ┴zФ*=r%si H@PАP @PE/%H@CCellL-ы─D└ └@ ┴zФ%B┼*si H@PАR PE*H@CCellL(ы─D└ └@d z Ф +─ y╧@R └,@@ЙStory _▄Ф+└Z▄B╬╠ХBї(C DВXИType AsSSEnd Ф-┴║B q╧@R└,@@КStory( W▄Ф(└Z▄B3│┘Bї(CDВXENoteSSEnd)Ф║x┼(q╧@R└ @ @ИGraphic╚A╣ ┴╣P@D.texДSЬє╗РЁ4б *╣┤.╣ArialИNew Roman?A" ─ /╣PP`@G.tex    └╕Q%HФ@┬9 ├i A@PАR PE%H@CCellI╣Aы╟5D└ └ ┴zФ>=r9si H@PАP @PEC9H@CCellLAы─D└ └@ ┴zФ9B┼>si H@PАR PE>0H@CCellL<ы─D└ └@d z Ф(,─-║y╧@R%└ @@КStory-W))▄Ф)#└Z▄B╬╠ХBЎ(C(BD1/2SSEnd Ф--┴╣B(q╧@R*└,@@КStory<(W..▄Ф.└S▄B3│┘BЎ(C-ASSEnd)Ф╣{┼<-q╧@R└ @ @ИGraphic║A╕Y║A╕P@D.texДSX╝РЁ4б|4╣Ь4╣ArialИNew Roman?A" ─╨5╣ PP`@G.tex    ┴+I%HФ0@┬K ├/i A@PАR PE9/H@CCellI╕Aы╟5D└ └ ┴zФP?rKs/i H@PАR PEUKH@CCellLSы─D└ └@d zФKB┼P0s/i H@PАR PEPDH@CCellLNы─D└ └@d z Ф<,─A╣y╧@R9└,@@КStoryA-W==▄Ф=#└Z▄B╬╠ХBЎ(C<BDx/2SSEnd ФA-┴╕B<q╧@R>└,@@КStoryN<WBB▄ФB└S▄B3│┘BЎ(CAASSEnd)Ф╕{┼NAq╧@R0└ @ @ИGraphic╣A╖Y╣A╖P@D.texДSд1╝РЁ4бД8╣д8╣ArialИNew Roman?A" ─=╣PP`@G.tex    ┴[IФHФD?┬_ ├Ci H@PАR PEKCH@CCellI╖Aы╟[D└ └ ┴zФd?r_sCi H@PАR PEi_H@CCellLgы─D└ └@d zФ_B┼dDsCi H@PАR PEdVH@CCellLbы─D└ └@d z ФN,─S╕y╧@RK└,@@КStorySAWOO▄ФO.└Z▄B╬╠ХBЎ(CNBП1/2x or 1/(2x)SSEnd ФS-┴╖BNq╧@RP└,@@КStorybNWTT▄ФTa└Z▄B3│┘BьQCSB@┐Regard everything after / as being on the bottom of the fraction┴SSEnd)Ф╖o┼bSq╧@RD└ @ @ИGraphic╕A╢Y╕A╢P@D.texДS╨K╡РЁ4бx8e└7eArial? ┴" ├ь9ex`@G.tex    ┴╘IHФV?┬s ├Ui H@PАR PE_UH@CCellI╢Aы╟oD└ └ ┴zФx?rssUi H@PАR PE}sH@CCellL{ы─D└ └@d zФsB┼xVsUi H@PАR PExjH@CCellLvы─D└ └@d z Фb,─g╖y╧@R_└,@@КStorygSWcc▄Фc=└S▄B╬╠ХBЎ(CbB Оx^2 , x^3 В@ @ @ └DetcSSEnd Фg-┴╢Bbq╧@Rd└,@@КStoryvbWhh▄ФhF└Z▄B3│┘BЎ(CgB&з^ is used in programming to mean powerSSEnd)Ф╢o┼vgq╧@RV└ @ @ИGraphic╖A╡Y╖A╡P@D.texДSLV╡GЁ4б╕BeGBeArial? ┴" ├ Dex`@G.tex    ┴YI'HФj?┬З ├ii H@PАR PEsiH@CCellI╡Aы╟ГD└ └ ┴zФМ=rЗsii H@PАP @PEСЗH@CCellLПы─D└ └@ ┴zФЗB┼Мjsii H@PАR PEМ~H@CCellLКы─D└ └@d z Фv,─{╢y╧@Rs└,@@КStory{gWww▄Фw3└S▄B╬╠ХBЎ(CvDВ@ @ @ └Иsqrt(x)SSEnd Ф{-┴╡Bvq╧@Rx└,@@КStoryКvW||▄Ф|;└Z▄B3│┘BЎ(C{BЬx^(1/2) is a bit cumbersomeSSEnd)Ф╡o┼К{q╧@Rj└ @ @ИGraphic╢A┤Y╢A┤P@D.texДSфh╡РЁ4б╘IeIeArial? ┴" ├HKex`@G.tex    ┴I'HФ~?┬Ы ├}i H@PАR PEЗ}H@CCellI┤Aы╟ЧD└ └ ┴zФа=rЫs}i H@PАP @PEеЫH@CCellLгы─D└ └@ ┴zФЫB┼а~s}i H@PАR PEаТH@CCellLЮы─D└ └@d z ФК,─П╡y╧@RЗ└,@@КStoryП{WЛЛ▄ФЛY└S▄B╬╠ХBЎ(CКDВ@ @ @ └ Оcuberoot(x),E В@ @ @ └ Оfourthroot(x)SSEnd ФП-┴┤BКq╧@RМ└,@@КStoryЮКWРР▄ФР└S▄B3│┘BЎ(CПASSEnd)Ф┤n┼ЮПq╧@R~└ @ @ИGraphic╡A│Y╡A│P@D.texДSTt╡РЁ4бDTeМSeArial? ┴" ├ШUex`@G.tex    └ВQHФТ@┬п ├Сi A@PАR PEЫСH@CCellI│Aы╟лD└ └ ┴zФ┤?rпsСi H@PАR PE║пH@CCellL╖ы─D└ └@d zФпB┼┤ТsСi H@PАR PE┤жH@CCellL▓ы─D└ └@d z ФЮ,─г┤y╧@RЫ└,@@КStoryгПWЯЯ▄ФЯ#└Z▄B╬╠ХBЎ(CЮBD+/-SSEnd Фг-┴│BЮq╧@Rа└,@@КStory▓ЮWдд▄Фд└S▄B3│┘BЎ(CгASSEnd)Ф│|┼▓гq╧@RТ└ @ @ИGraphic┤A▓Y┤A▓P@D.texДW└╝8Ё4б═╨+ь)ArialИNew Roman?A" ─м.PP `@G.tex    ┴уIHФж?┬─ ├еi H@PАR PEпеH@CCellI▓Aы╟└D└ └ ┴zФ╔=r─sеi H@PАP @PE╬─H@CCellL╠ы─D└ └ @ ┴zФ─B┼╔жsеi H@PАR PE╔╗H@CCellL╟ы─D└ └ @d z Ф▓,─╖│y╧@Rп┬,@КStory╖гW││▄Ф│h└S▄B╬╠ХBЎ(C▓B Рx = (-b +/- В@ @ @ └Кsqrt(b^2G - В@ @ @ └G4ac))F / 2aSSEnd Ф╖-┴▓B▓q╧@R┤└,@@КStory╟▓W╕╣▄Ф╕t┬╣ ┬▄B3│┘BьQC╖BQ┐Messy. Complicated formulae should be avoided where possible. Us╥e lots of spaces.SSEndФ╣`r╕HY▄B3│┘BьQC╖B'лNote the importance of brackets to get ВX Лall over C2aSSEnd)Ф▓o┼╟╖q╧@Rж└ @ @ИGraphic│A▒Y│A▒P@D.texДSШТ╡РЁ4бфee,eeArial? ┴" ├╪gex`@G.tex    ┴ЫIHФ╗?┬╪ ├║i H@PАR PE─║H@CCellI▒Aы╟╘D└ └ ┴zФ▌=r╪s║i H@PАP @PEт╪H@CCellLры─D└ └ @ ┴zФ╪B┼▌╗s║i H@PАR PE▌╧H@CCellL█ы─D└ └ @d z Ф╟,─╠▓y╧@R─└,@@КStory╠╖W╚╚▄Ф╚a└S▄B╬╠ХBЎ(C╟BКI x^2 В@ @ @ └DdxШ or integral of x^2 В@ @ @ └CdxSSEnd Ф╠-┴▒B╟q╧@R╔└,@@КStory█╟W══▄Ф═└S▄B3│┘BЎ(C╠ASSEnd)Ф▒o┼█╠q╧@R╗└ @ @ИGraphic▓A░Y▓A░P@D.texДS│╡РЁ4бфne,neArial? ┴" ├xpex`@G.tex    ┴ IHФ╧?┬ь ├╬i H@PАR PE╪╬H@CCellIмAы╟шD└ └ ┴zФё=rьs╬i H@PАP @PEЎьH@CCellLЇы─D└ └ @ ┴zФьB┼ё╧s╬i H@PАR PEёуH@CCellLяы─D└ └ @d z Ф█,─р▒y╧@R╪└,@@КStoryр╠W▄▄▄Ф▄V└S▄B╬╠ХBьQC█BФIntegral of x^2 В@ @ @ └DdxС between 1 and 2SSEnd Фр-┴мB█q╧@R▌└,@@КStoryя█Wсс▄Фс└S▄B3│┘BЎ(CрASSEnd)Фмm┼ярq╧@R╧└ @ @ИGraphicнAгYн └@D.texДS─╛╡РЁ4бДxe╠weArial? ┴" ├╪yex`@G.tex    ┴IHФу?└@ ├тi H@PАR PEьтH@CCellI░Aы╟№D└ └ ┴zФ=p@sтi H@PАP @PC @H@CCellLы─D└ └ @ ┴zФB┼уsтi H@PАR PEўH@CCellLы─D└ └ @d z Фя,─Їмy╧@Rь└,@@КStoryЇрWЁЁ▄ФЁ)└Z▄B╬╠ХBЎ(CяB К(sin x)^2SSEnd ФЇ-┴░Bяq╧@Rё└,@@КStoryяWїї▄Фї└S▄B3│┘BЎ(CЇASSEnd)Ф░o┼Їq╧@Rу└ @ @ИGraphic▒AпY▒AпP@D.texДS0╤╡РЁ4бДАe╠eArial? ┴" ├╪Бex`@G.tex    ┴jIHФў?┬ ├Ўi H@PАR P@CЎH@CCellIпAы╟D└ └ ┴zФ?rsЎi H@PАR PEH@CCellLы─D└ └ @d zФB┼ўsЎi H@PАR PE H@CCellLы─D└ └ @d z Ф,─░y╧@P@└,@@КStoryЇW▄ФX└S▄B╬╠ХBЎ(CDВ@ @ @ └EP(A Н and B), В@ @ @ └EP(AG or B)SSEnd Ф-┴пBq╧@R└,@@КStoryW  ▄Ф └S▄B3│┘BЎ(CASSEnd)Фпn┼q╧@Rў└ @ @ИGraphic░AоY░AоP@D.texДSШ▄╡РЁ4б\ЛeдКeArial? ┴" ├░Мex`@G.tex    └ЇQHФ ?┬( ├ i H@PАR PE H@CCellIоAы╟$D└ └ ┴zФ-=r(s i H@PАP @PE8(H@CCellL0ы─D└ └@ ┴zФ(B┼- s i H@PАR PE-H@CCellL+ы─D└ └@d z Ф,─пy╧@R└,@@КStoryW▄Ф2└S▄B╬╠ХBЎ(CDВ@ @ @ └Gexp(x)SSEnd Ф-┴оBq╧@R└,@@КStory+W▄ФU└S▄B3│┘BЎ(CDВ@ @ @ └Eexp"г is standard mathematical notationSSEnd)Фоo┼+q╧@R └ @ @ИGraphicпAнYпAнP@D.texДSЁю╡РЁ4б╝ТeТeArial? ┴" ├Фex`@G.tex    ┴уIHФ?┬8 ├i H@PАR PE(H@CCellIнAы╟4D└ └ ┴zФ=?r8si H@PАR PEФ8H@CCellL@ы─D└ └@d zФ8B┼=si H@PАR PE=-H@CCellL;ы─D└ └@d z Ф+,─0оy╧@R(└,@@КStory0W,,▄Ф,6└Z▄B╬╠ХBЎ(C+BЧtheta, alpha, beta, piSSEnd Ф0-┴нB+q╧@R-└,@@КStory;+W11▄Ф1└S▄B3│┘BЎ(C0ASSEnd)Фнo┼;0q╧@R└ @ @ИGraphicоAмYоAмP@D.texДS°╡РЁ4бЇЫe<ЫeArial? ┴" ├hЭex`@G.tex    ┴ЦIСH Ф;,─@нy╧@R8└,@@КStory@0W<<▄Ф<%└Z▄B╬╠ХBЎ(C;BFAB, aSSEnd Ф@*r;q╧@R=└,@@КStoryE;WAA▄ФAз└S▄B3│┘Bтz*C@B_┐Use the word vector if it's not clear from the context. For examуple, a = 8i + 6j + 5k where a, В@ @ @ └Di,Т j, k are vectorsSSEndФ╕s╢ @BЪAг@┬╣ Ф╣t┤ЪB╕ └PP └ └ZФJZФQZK6@Ф6┬&└ @ЙFrame175@Ф&┼6 └ @ЙFrame16%@Ф┼■& └ @ЙFrame15@Ф■┼ъ └ @ЙFrame14¤@Фъ┼╓■ └ @ЙFrame18щ@Ф╓┼┬ъ └ @ЙFrame13╒@Ф┬┼н╓ └ @ЙFrame12┴@Фн┼Щ┬ └ @ЙFrame11м@ФЩ┼Ен └ @ЙFrame10Ш@ФЕ┼qЩ └@ИFrame9Д@Фq┼]Е └@ИFrame8p@Ф]┼Iq └@ИFrame7\@ФI┼7] └@ИFrame6H@Ф7┼#I └@ИFrame56@Ф#r7 └@ИFrame4 ОФX ┴tAtxpA@PАZKIФHL └ ┬PYП├GDВ@H СSteve Mayer Щ@HИIЩ@HEISSEndWФI1┬в└jGsJ@`EHHH @ ЛNow() %DcLp@ ФG/┼LEqh@QТ ┬,@НStoryLE!gHHПZФNZФR┴-ZPР═Ф\ОФW ┴DAВxpA@PАОФY ┴╔A╔xpA@PАОФZ ┴RA╜xpA@PА═^/═]t═b╔═c╜═dL═eO═fRZФLZФMZФS(Tt(U)йOSО(iг(j╕Фg(kм(l║(Фm(Фn═aD═_В═`УМФТT┴Б┴t@i H@HYПH@AУAВP@EFooterLGУBfB`tcz └@\\╒┴XRnX$ЛФБSqТyt@i H@IQПHP@AВAtP@EHeaderLEВB_BXt[z └@\\╒┴XQД`$ Фф*┴ьAгyh@Qу ┬(@FStoryьA╧YхAхAПНФ/Д┴УADyW@@ МDefault FrameQ" H@IQВXADBЪH@DFrame└H@@ТDefault Frame Styleh$@@ ЛDefault TextI3ABAAA: └@Y@└A9 Фа)┴'BЮqh@┬l@FStory'BЮWббП ФВ)┼Ш|qh@┬h@КStoryШ|WГГПБФ║ ├╕БФ╖ ┴╗@Фу`┴╜AыyZ@@НTable Text TBLQ HHPИRДPAыA╨P@CCellIфA╜xX$@ @ ЙTable Text┴┐Az┴ъAzФR]┴O┴Z@@УDefault Right ColumnQ`H@@@ИQАH0@A)AOP@CCell└X$@@ ЛDefault Text┴MyГФLY┴ыAOyZ@@НDefault ColumnQ`H@@@ИQАH0@AOADP@CCell└X$@@ ЛDefault Text┴┐yГ ФE+─Gьyh@QБ ┬,@КStoryG@WFFПФэ└PA▄┴ь@ASSEndФqH┴▄Bs └ @ КBody SingleP@@@@Y@p@@@└AП@q▌AрA▀AтDrсБФP ┬NsI ФL)┼vGqh@┬h@КStoryvGWMMПФ-+┴)└@ОLegal NumberingI+@ O└XФР@┬О└@EFooterP@@@@Y@p@@@└AП@q▌AрA▀AтDСс┘ФDС┴/┴W@@ПDefault Drop CapQ" H@I QВXALA/P @FDropCapIJA/xH@@ХDefault Drop Cap Styleh$@@ ЛDefault TextI3AHAEAzAГ ┴2└AGp@ФO^┴LARyZ@@ТDefault Left ColumnQ`H@@@ИQАH0@ARALP@CCell└X$@@ ЛDefault Text┴PyГЕФS┴QyRЕФОqЧAВФх└PA▄┴ф@ASSEnd Ф')┴+Bаqh@┬h@FStory+BаQ(A(AПФб#└PAП├аB КNow() %DcSSEnd Ф|)┼Вvqh@┬h@КStoryВvW}}ПФГ#└SП├ВB @PRB.SSEnd ФJ*┴A+yh@QD ┬(@FStoryA+YKAKAПБФг q CвФF6└aП├EDВ@HЩMATHEMATICS USING E-MAILSSEndФsP┼qy └@EBulletP@@@@Y@p@@@└AП@q▌AрDuтDtс └@@@RxБФN vPI Фv)┼|Lqh@┬h@КStory|LWwwПФM#└PAП├LB КNow() %DcSSEndФ).─Д-└@ОDefault OutlineI'@ O└X Ф+'┴JA'yh@┬h@FStoryJA'Y,A,AПФОC┼ЙР └@EHeaderP@@@@Y@p@@@└AП@q▌AрA▀AтDПсЕQ NSOЕЧ ОЩУд(З└SП┴'@DМ@@@Q¤ p@PTВ@@@Q¤ pE.М@@@Q√ p@PTВ@@@Q√ pE.М@@@Qў p@PTВ@@@Qў pE.М@@@Qя p@PTВ@@@Qя pE.М@@@Q▀ p@PTВ@@@Q▀ pE.М@@@Q┐ p@PTВ@@@Q┐ pE)М@@@Q p@PTВ@@@Q pE)М@@@Q ■p@PTВ@@@Q ■pE)В@@@Q ¤pE(М@@@Q ¤p@P TВ@@@Q ¤pB)SSEndФ} └SП├|C┬HHB{SSEndФK└PAП┴J@ASSEndФyR┼s └ @GBullet 1P@@@@Y@p@@@└AП@q▌AрD{тDzс └@@@R~Фxr~ └cv КPФw └SП├vC┬HHBvSSEndФД─~)└cВ КPд,T└SП┴+@DМ@@@Px@PTВ@@@PxE.М@@@Px@PTВ@@@PxE.М@@@Px@PTВ@@@PxE.М@@@Px@PTВ@@@PxE.М@@@Px@PTВ@@@P?xE.М@@@P?x@PTВ@@@PxE.М@@@Px@PTВ@@@P xE.М@@@P x@PTВ@@@Q pE.М@@@Q p@P QSSEndФЙC┼ЕО └@DTitleP@@@@Y@p@@@└AП@wКМ▀AтEЛНЕN IQLЕЩ Ч┼tФU┼yЕ └ @ КNumber ListP@@@@Y@p@@@└AП@q▌AрDБтDАс └@@@RДФ~┼xД └c| КPФЕE┼Й └ @FSubheadP@@@@Y@p@@@└AП@q▌DЗ▀AтEЖИЕI CNDЕ┼ Щ╬╜ЕC .I/Е╬ ┼ц╔Е. *C-Ец ╬юуЕ* 7.)Ею ц$ыЕ7 '*6Е$ ю8#Е' 7&Е8 $J7Е  'ЕJ 8^IЕ  ы■Е^ Jr]Еы ╫ ъЕr ^ЖqЕ╫ ├ы╓ЕЖ rЪЕЕ├ о╫┬ЕЪ ЖоЩЕо Ъ├н Ф"qJyh@┬l@DStoryqJYAAПФ% ┴AПABР8 February 2000SSEndБФ  ┬гsвБФ! ├IБФ" ├вZФ&бФддFМ└iGa A@H@@P@@P@@└PPpPP└└@Bї(P t╘Ра8*AFQIAQANQRQJAVAPA[A\AXAWAYAZA^A]AbAcAdAeAfAKALAMASATAUAO ┴hAiAjAgAkAlAmAnP@P └cpc┴H └cP`P └cpc└P └cpcP`└cpcPaH└cP`@@ШTimes New RomanH@ ХLotusWP TypeH@ОArial h@@ ┴@X@└@A@X@A@yaA_A`Qqyr@@ХSteve Mayer920735190HAд д└iaA@H@@P@@P@@└PPpPP└└@P P pA&OEPSON E╠PL-5200 (PCL) └AФ@ТAwH@ DЪ 4d@@B,@B,?└Ъ@@└@@:@2rч0P-`Pв@@Б@@@┬╥@`pP@2P"└P@@d@PAИH@@ELPT1:@ХEPSON EPL-5200 (PCL)@EEPHPWP@E1-9999XPDUVerA@P@РOriginal Version @ УSteve Mayer╒Mс6ыРа8 `@@ASMl╘Ра8*AQA A Q QA%A A*A+A'A&A(A)A-A,A1A2A3A4A5AAAAAAA ┴7A8A9A6A:A;AIyGI^EICI╒@IТ#I(KI9\I∙(IX+IМ+I┤(I╖+Iь+I╠IФ,I\#I KI[\I+Il-Iа-I╟*I╓-I .I Iы.IIz#IъJI}\I"-I├/Iў/I█,I<0Iq0IJI61I-IШ#■ еД└■E╒Mс6r@HPXHPXHPXHXXHPXHPXHPXHPXHPXH@XH@ ├@IA$┴XrBm ЎP 6'└@@` ┼ ?Я8)E ╘Ра8HJЯ\Iy/I 2I@2I2/I{2I░2IЙIj3IHI╢#IмJI┴\I┬1I@4It4I}1I╒4I 5I╚Iе5IcI╘#IМJIу\IЎ3I~6I▓6I▒3I▌6I7I I╗7IIЄ#IlJIЇ\I46IС8I┼8Iэ5I59Ij9Iц9IF I┼:IЫI$ILJI╥\IG8IЫ;I╧;I8I8I ;Iq>Iж>I─ I@?I╙IL$I JIО\IХ=I@IJ@IP=I{@I░@I!ILAIяIj$IьIIl\I╠?I$BIXBIЗ?I╕BIэBIB!IИCI IИ$I╠IIJ\I┌AI^DIТDIУAI╠DIEIБ!I╒EI'Iж$IмII(\IDIнFIсFI╧CIGITGIBI─$IПII\IcFIЁGI$HIFIQHIГHI IПI┌PIoTILIЙKI▌KI5I|KIНQIGUIUI{QI╞I IKIнIиIIТ IgImI I2I(I  IГI■I┬I+QIШ IнTIЄI8 IUIЧXItXIXIДI╧I╨SI╘WI [IоZIсI╣ I]OITI┐XI1[IIW IS IAZI┐ I┐I╒ IЇ I╫UIKIёQI╘ I°IйI║ I╠IсI╦I{I8 I└I┐I,OIеSIFI^TIХIГIWIнI;IUIШIЄIПIЭOI2IIPIIОOItSIDVIrUIф[IиUIфXI╛QI┬[IаNIш Iи I I╓ IР Iэ I7 Iа[I9RI└Iж In I~[I,TI№WIyPI8IМZI╥RI I"VIPI8SIИI]I/]I\]In]I}]IМ]№ Х$└G╒Mс6q╦JIZaI┐dHП╒Mс6ЎP 6╘Ра8?Я8Arial,34,12,0,0,0,0,0 $$\sin ^2x$$X┤-░░"   EPSON EPL-5200 (PCL)╓2BM╢ 6(┤а2├├                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ░░░аааOOOOOOааа╧╧╧         OOOOOO         OOOOOO            OOOOOO                                      ЯЯ             ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                        ░░░OOOOOOOOOOOOOOOOOO╧╧╧      OOOOOO         OOOOOO            OOOOOO                                         ┐┐            ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                      OOOOOO░░░      ░░░OOOOOO      OOOOOO         OOOOOO            OOOOOO                                            ┐┐    ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                             OOOOOO      OOOOOO         OOOOOO            OOOOOO                                          ┐┐   ┐┐   ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                  ░░░аааOOOOOOOOO      OOOOOO         OOOOOO            OOOOOO                                             ┐┐    ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                               ░░░OOOOOOOOOOOOOOO╧╧╧      OOOOOO         OOOOOO            OOOOOO                                                ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                 аааOOOOOOааа╧╧╧╧╧╧            OOOOOO         OOOOOO            OOOOOO                                                ЯЯ   ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                            OOOOOO░░░                     OOOOOO         OOOOOO╧╧╧         OOOOOO                                             ┐┐     ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                         OOOOOO╧╧╧      ░░░OOOOOO      OOOOOO         OOOOOOааа╧╧╧   ░░░OOOOOO                                   ЯЯ ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                           ░░░OOOOOOOOOOOOOOOOOO░░░      OOOOOO         OOOOOOOOOOOOOOOOOOOOO░░░                                        ┐┐         ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                           ░░░аааOOOOOOааа░░░         OOOOOO         OOOOOO╧╧╧аааOOOOOO░░░                                             ┐┐          ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       OOOOOO                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    OOOOOO                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Arial,34,12,0,0,0,0,0 $\overrightarrow{AB},\ $\underline{$a$}$,\ \BF a$X┤GL!░░ЦС"   EPSON EPL-5200 (PCL)·ХBM%6(┤G─Х├├                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ЯЯ                                                                       ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ┐┐                                                       ┐┐   ┐┐                                                    ┐┐                                                                                                                                                                                                                                                                                                                                 ЯЯ                   ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                                           ┐┐                     ┐┐         ЯЯ  ЯЯ             ┐┐ ЯЯ   ┐┐                                                ЯЯ    ┐┐                                                          ┐┐    ЯЯ                                                                                                                                                                                                                                                                                                                                    ЯЯ                ┐┐         ┐┐                     ЯЯ                                                                ┐┐                                                                ┐┐                                                                                                                                                                                                                                                                                                                            ┐┐          ЯЯ                                                                                   ┐┐ ┐┐      ЯЯ                                                     ЯЯ ┐┐    ЯЯ                                                                                                                                                                                                                                                                                                                                        ЯЯ            ┐┐                                                                  ┐┐                                                         ┐┐                                                                                                                                                                                                                                                                                                                                        ┐┐                 ┐┐            ЯЯ             ┐┐                                                       ЯЯ                                                             ┐┐ ЯЯ ЯЯ                                                                                                                                                                                                                                                                                                                                         ЯЯ            ┐┐          ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ┐┐              ┐┐          ┐┐         ЯЯ                                                      ЯЯ       ┐┐                                                         ┐┐    ┐┐                                                                                                                                                                                                                                                                                                                                          ЯЯ                                      ┐┐   ЯЯ                                                 ┐┐                                                           ┐┐        ЯЯ                                                                                                                                                                                                                                                                                                                                     ┐┐      ┐┐                    ┐┐             ┐┐                                                      ┐┐     ЯЯ                                                          ┐┐      ЯЯ                                                                                                                                                                                                                                                                                                                                             ЯЯ ┐┐                  ЯЯ  ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               ┐┐   ЯЯ                  ЯЯ               ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       ЯЯ                ┐┐         ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ┐┐    ЯЯ                          ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Arial,34,12,0,0,0,0,0 $$\theta ,\ \alpha ,\ \beta ,\ \pi $$X┤S░░у"   EPSON EPL-5200 (PCL)╓2BM╢ 6(┤а2├├                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                           ЯЯ                                                                    ЯЯ                                  ┐┐                            ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                           ЯЯ                                                         ЯЯ    ┐┐     ┐┐                                       ЯЯ   ЯЯ                                                        ┐┐          ЯЯ  ┐┐                                                                                                                                                                                                                                                                                                            ЯЯ                                                        ЯЯ  ЯЯ      ┐┐ ЯЯ                                        ┐┐   ЯЯ    ЯЯ                                                               ЯЯ                                                                                                                                                                                                                                                                                                                       ЯЯ                                                            ┐┐   ┐┐                                                 ┐┐         ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                          ┐┐                                                   ЯЯ       ┐┐                                                          ┐┐        ┐┐                                                                                                                                                                                                                                                                                                               ┐┐       ┐┐  ЯЯ                                                   ┐┐       ЯЯ                                                   ЯЯ                                                                     ЯЯ       ЯЯ ЯЯ                                                                                                                                                                                                                                                                                                               ЯЯ                                                                     ┐┐                                                   ┐┐                                                                    ЯЯ        ┐┐                                                                                                                                                                                                                                                                                                                      ┐┐                                              ┐┐   ┐┐         ┐┐                                                   ┐┐    ЯЯ  ┐┐                                                  ЯЯ ┐┐        ┐┐                                                                                                                                                                                                                                                                                                              ЯЯ            ┐┐  ЯЯ                                                 ЯЯ      ┐┐   ЯЯ                                                   ЯЯ   ЯЯ                                                    ┐┐                                                                                                                                                                                                                                                                                                                     ┐┐       ┐┐                                                      ┐┐    ┐┐                                                   ЯЯ   ┐┐ ┐┐                                                      ┐┐                                                                                                                                                                                                                                                                                                                    ЯЯ                                                                                                                                    ┐┐         ЯЯ  ЯЯ                                                                                                                                                                                                                                                                                                                                                                                     ┐┐                                                                                                                                           ┐┐    ┐┐                                                                                                                                                                                                                                                                                                                                                                                          ЯЯ  ┐┐                                                                                                                                    ЯЯ  ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                        ЯЯ                                                                                                                                   ┐┐ ┐┐                                                                                                                                                                                                                                                                                                                                                                                                ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Arial,34,12,0,0,0,0,0 $$e^x$$X┤░░Ї"   EPSON EPL-5200 (PCL)╓2BM╢ 6(┤а2├├                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ┐┐     ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               ┐┐    ┐┐   ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ЯЯ  ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ЯЯ     ┐┐                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               Arial,34,12,0,0,0,0,0 $$P\left( A\cap B\right) \text{, }P(A\cup B)$$X┤Ю░░j"   EPSON EPL-5200 (PCL)╓2BM╢ 6(┤а2├├                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ЯЯ                                                                                                                                                  ЯЯ                   ЯЯЯ                                                                                                                                         ┐┐      ┐┐                                                                                                                                                                                             ┐┐  ┐┐                                                                                                                                                ┐┐  ┐┐                                                                                                                                                         ЯЯ  ЯЯ          ЯЯ  ЯЯ                                                                                                                                               ┐┐                                                                                                                                                ┐┐                                                           ┐┐                                                                                           ┐┐  ┐┐                ┐┐  ┐┐                         ┐┐                                                                                               ┐┐                                  ЯЯ  ┐┐         ЯЯ                   ┐┐                                                                                        ┐┐  ЯЯ                                       ┐┐                                               ЯЯ                   ┐┐                      ЯЯ                      ЯЯ                                                                                                                     ЯЯ  ЯЯ                                             ┐┐                     ┐┐                                                                 ЯЯ  ЯЯ             ┐┐ ЯЯ   ┐┐                                                         ЯЯ  ЯЯ                                             ┐┐                     ┐┐                      ┐┐                      ┐┐                 ЯЯ  ЯЯ             ┐┐ ЯЯ   ┐┐                                                                                       ┐┐                                 ┐┐  ЯЯ               ЯЯ                ┐┐                                                                 ┐┐                     ЯЯ               ЯЯ  ┐┐                                        ┐┐                                                    ЯЯ                ┐┐                                                                 ┐┐                     ЯЯ                                                                                         ┐┐                                   ┐┐             ┐┐          ЯЯ                                                                                                       ┐┐                                          ┐┐                                                  ┐┐          ЯЯ                                                                                                                                                                                                                      ┐┐                         ЯЯ                                                                    ┐┐                                 ┐┐                                                                                                          ЯЯ                                                                    ┐┐                                                                                                                       ┐┐                           ┐┐                 ┐┐                                                                    ЯЯ             ┐┐                                                                        ┐┐                           ┐┐                 ┐┐                                                                    ЯЯ             ┐┐                                                                                             ЯЯ          ЯЯ                             ЯЯ            ┐┐                    ┐┐                      ┐┐                    ЯЯ                                                                        ЯЯ          ЯЯ                             ЯЯ            ┐┐                                                                  ЯЯ                                                                                                      ЯЯ               ┐┐    ┐┐                        ┐┐              ┐┐                    ЯЯ                      ЯЯ                    ┐┐         ЯЯ                                                               ЯЯ               ┐┐    ┐┐                        ┐┐              ┐┐                                                                  ┐┐         ЯЯ                                                                                             ┐┐                     ЯЯ     ┐┐                        ЯЯ                              ┐┐  ┐┐                ┐┐  ┐┐                                    ┐┐   ЯЯ             ┐┐                                             ┐┐                     ЯЯ                               ЯЯ                                                                                              ┐┐   ЯЯ                                                                                                                        ┐┐                      ┐┐      ┐┐                           ЯЯ  ЯЯ          ЯЯ  ЯЯ                           ┐┐             ┐┐               ┐┐                                                                                                   ┐┐      ┐┐                                                                            ┐┐             ┐┐                                                                                                 ┐┐                     ┐┐  ЯЯ                           ЯЯ ┐┐                              ┐┐      ┐┐                            ЯЯ  ЯЯ                              ЯЯ  ┐┐                                                ┐┐                                                    ЯЯ ┐┐                                                                          ЯЯ  ЯЯ                                                                                                                ЯЯ                                                ┐┐   ЯЯ                                                                              ЯЯ               ЯЯ                                                                   ЯЯ                                                ┐┐   ЯЯ                                                                              ЯЯ               ЯЯ                                                                                               ЯЯ          ЯЯ    ЯЯ  ┐┐                             ЯЯ                                                                            ┐┐         ЯЯ          ┐┐  ЯЯ                                                 ЯЯ          ЯЯ                                         ЯЯ                                                                            ┐┐         ЯЯ                                                                                                 ┐┐         ЯЯ                                    ┐┐    ЯЯ                                                                                      ЯЯ                                                                  ┐┐         ЯЯ                                        ┐┐    ЯЯ                                                                                      ЯЯ                                                                                                                                           ┐┐  ┐┐                                                                                                                                                    ┐┐  ┐┐                                                                                                                                                                                                                                                                                                                                                                                           ЯЯ                                                                                                                                                      ЯЯ                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Arial,34,12,0,0,0,0,0 $$\int_1^2x^2\ dx$$X┤/A░░ "   EPSON EPL-5200 (PCL)ZcBM╫6(┤/$c├├