Jaxe equations syntax

Jaxe has a specific equation editor, to add and change equations. An equation is edited in a text area, while the corresponding image is displayed above in real time. The equation images are saved in a folder called equations_myfile within the folder of the XML file myfile.xml.

This editor does not pretend to be exhaustive. Complex equations can be created with another editor and added in Jaxe with a copy-paste.

Here are some rules to follow in order to make the best use of the editor:

1. Do not use spaces (they are ignored in the best case).
2. Write the equation as if it would be interpreted mathematically and a numerical result would be calculated. As a consequence, always specify the operators, even when they should not be displayed.
3. Use parenthesis to specify the order of the operations if it does not match the mathematical evaluation order.

addition, subtraction

operators '+' and '-''

multiplication

operator '*', displayed only when two numbers are multiplied
Example: 2*3*sin(1,5*pi)

division

operator '/' (displayed as a fraction) and functions 'slash' and 'fraction'
Example: slash(a;b)/c

function

functionname(arg1;arg2;...)
Example: f(x;y)

power

operator '^'
Example: x^y

subscript

operator '_'
Example: x_(ab)

subsup

function 'subsup' with the first term, and the elements to display as subscript and superscript
Example: subsup(A;1;2)

square root

function 'sqrt'
Example: sqrt(x/2)

absolute values

function 'abs'
Example: abs(x^3)

power of e

function 'exp'
Example: exp(x^2)

integral

function 'int', with 4 parameters: the function to integrate, the integration variable, and the minimum and maximum bounds
Example: int(f(x);x;0;infty)

sum and product

functions 'sum' and 'prod', with 3 parameters: the function to sum up, and the minimum and maximum bounds
Example: sum(ln(k)/k;k=1;10)

matrix

function 'matrix', with the lines as parameter as a function 'line'
Example: matrix(line(1;2;3);line(4;5;6))

Greek letters

variables with the letter name, with an uppercase to the first character of the name to get an uppercase Greek letter
Example: alpha*Delta*thetasym*upsih*piv

special characters

variable with the name of the special character
sun|star|earth|planck|infin|angstrom|hat|bar|asterisk
Example: M_sun+planck<infin

special operators

special code with no space
!=|~=|<=|>=|<<|>>|->|forall|exists|part|nabla|prop|cross|plusminus
Example: foralla existsb c<<d~=e>=d!=f

accents

function 'accent' with the letter and the accent to add above
Example: accent(AB;->)+accent(ABC;hat)+accent(x;bar)

time derivatives

function 'timed' with the variable and the number of dots to display above
Exemple: timed(theta;2)

scalar product

function 'scalarp' with the two vectors as parameters
Exemple: scalarp(accent(AB;->);accent(CD;->))

functions with no parenthesis

some functions are displayed without parenthesis when they have a single parameter with a variable
Example: sin(a)*sin(b)

equation system

function 'system', with the lines as parameters
Example: system(x+y=2;x-2*y=3)

units

function 'unit', with the unit as the second parameter
Example: unit(1;m)/unit(2;s)=unit(1/2;m*s^(-1))

function 'fact'
Example: fact(x) x!