Jaxe equations syntax

The equation editor works with a text area to enter an equation with a specific syntax, and the image for the equation is displayed below when the "Preview" button is clicked.

• Addition and subtraction

  Operators '+' and '-'.

• Multiplication

  Operator '*', displayed only when two numbers are multiplied.

  Example : 2*3*sin(1.5*pi) is displayed :

• Division

  Operator '/' (displayed as a fraction) and functions 'slash' and 'fraction'

  Example : slash(a;b)/c is displayed :

• Function

  The parameter separator is the semicolon, to distinguish it from the coma, sometimes used in numbers : functionname(arg1;arg2;...)

  Example : f(x;y) is displayed :

• Power

  Operator '^'.

  Example : x^y is displayed :

• Subscript

  Operator '_'.

  Example : x_(ab) is displayed :

• Subscript superscript

  Function 'subsup' with the first term, and the elements to display as subscript and superscript.

  Example : subsup(A;1;2) is displayed :

• Units

  Function 'unit', with the unit as the second parameter.

  Example : bigg=unit(6.67259*10^(-11);m^3*kg^(-1)*s^(-2)) is displayed :

  Note that units are displayed with a plain font, while a variable like is displayed with an italic font.

  There is also an operator to specify units in a more concise way: #.

  Examples: 2#m is displayed : ; (2/3)#(m*s^(-1)) is displayed : (note that parenthesis are required in this formula)

• Square root

  Function 'sqrt'.

  Example : sqrt(x/2) is displayed :

• Root

  Function 'root' with the degree of the root as the second parameter.

  Example : root(x;3) is displayed :

• Absolute values

  Function 'abs'.

  Example : abs(x^3) is displayed :

• Power of e

  Function 'exp'.

  Example : exp(x^2) is displayed :

• 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) is displayed :

• 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) is displayed :

• Matrix

  Function 'matrix', with the lines as parameter as a function 'line'.

  Example : matrix(line(1;2;3);line(4;5;6)) is displayed :

• 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 is displayed :

• Special characters

  Variable with the name of the special character.

  sun|star|earth|planck|infin|angstrom|ell|hat|bar|asterisk|bigg|...

  Example : M_sun/M_earth=3.329*10^5 is displayed :

• Special operators

  Special code with no space.

  !=|~=|<=|>=|<<|>>|->|forall|exists|part|nabla|prop|cross|plusminus|cap|cup

  Example : forall a exists b<<c~=d>=e!=f is displayed :

• Accents

  Function 'accent' with the letter and the accent to add above.

  Example : accent(AB;->)+accent(ABC;hat)+accent(x;bar) is displayed :

• Time derivatives

  Function 'timed' with the variable and the number of dots to display above.

  Example : timed(theta;2) is displayed :

• Vectors

  Function 'vector' with the name of the vector.

  Example : vector(u_theta) is displayed :

• Scalar product

  Function 'scalarp' with the two vectors as parameters.

  Example : scalarp(vector(AB);vector(CD)) is displayed :

• Norm

  Function 'norm' with the vector as a parameter.

  Example : norm(vector(AB)) is displayed :

• Functions with no parenthesis

  Some functions are displayed without parenthesis when they have a single parameter with a variable.

  Example : sin(a)*sin(b) is displayed :

• Equation system

  Function 'system', with the lines as parameters.

  Example : system(x+y=2;x-2*y=3) is displayed :

• Factorials

  Function 'fact'.

  Example : fact(x) is displayed :

• Mean

  Function 'mean'.

  Example : mean(M_B) is displayed :