MATHEMATICS USING EMAIL

It is an ironic and frustrating fact that, although computers were invented by mathematicians, the one thing that is extraordinarily difficult to type on computers is mathematics.

Most people have come across the fact that typing a half is done using 1/2 or else one has to press a weird key combination, but there's no alternative for most fractions. Many sophisticated word processors and desktop publishing programs do have equation editors to enter mathematical symbols but most of them are cumbersome, some are buggy and all are awkward to use especially for more than the odd formula. Specialist software is also very expensive.

Worse still, these editors are absolutely no use when it comes to email. You have to resort to the lowest common denominator called ASCII or Text and attempt to use ordinary symbols. There's yet more bad news. With the widespread use of proportional fonts, trying to line text up using spaces can be next to useless.

This is a guide to writing mathematics using only normal symbols. Much of it is a compromise and may not be satisfactory as it can be quite hard to read. Handwritten mathematics is still the best.

 

Mathematics

Type As

Note

1


2

1/2

 

1


 x

2

x/2

 

1


2x

1/2x or 1/(2x)

Regard everything after / as being on the bottom of the fraction

x2, x3 etc

x^2, x^3 etc

^ is used in programming to mean power

Öx

sqrt(x)

x^(1/2) is a bit cumbersome

3Öx, 4Öx

cuberoot(x), fourthroot(x)

 

±

+/-

 

-b± Öb2-4ac

x =


2a

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

Messy. Complicated formulae should be avoided where possible. Use lots of spaces. Note the importance of brackets to get all over 2a

ò x2 dx

I x^2 dx or integral of x^2 dx

 

ò12x2 dx

Integral of x^2 dx between 1 and 2

 

sin 2x

(sin x)^2

 

P( AÇ B) , P(AÈ B)

P(A and B), P(A or B)

 

ex

exp(x)

exp is standard mathematical notation

q , a , b , p

theta, alpha, beta, pi

 


AB

 a

a

AB, a

Use the word vector if it's not clear from the context. For example, a = 8i + 6j + 5k where a, i, j, k are vectors

 


This document was translated from LATEX by HEVEA.