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Working with MUMIE as author
Working with MUMIE as teacher
Using MUMIE via plugin in local LMS
FAQ
Expression syntax are used to describe mathematical operations, functions and conditions in applets.
In the generic framework, there are predefined expressions for constants of functions that are used to describe the value of a number or function variable. Be aware that you shouldn't use these expressions as names of your variables, as this will cause problems.
Category  Syntax  Examples  Note  

Numbers  09  42, 2.5, ...  
Number Constants  pi, e  pi/2, e (~2.718...)  
Parentheses  ()  (x+1)*(x+2)  
Standard Operations  +,,/,*,^  1+2, pi/2  
Absolute value  abs(arg) or arg  abs(x),  
Trigonometric functions  sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, asinh, acosh, atanh, atan2  sin(2*pi), (cos(x))^2, atan2(1,1)  if z is a complex number, atan(z) is the phase of z. It is in the range (pi, pi], you may use also arcsin, arccos, etc atan2 takes two real arguments x and y separated by a semicolon: atan2(x;y) 

Signum  sign(arg)  sign(x) = 1, x>0; sign(0)=0; sign(x)=1,x<0  If the number field is complex or complexrational, sign(arg) is only defined for im(arg)=0.  
Theta/Heaviside  theta(arg)  theta(x) = 1,x>=0; theta(x)=0, x<0  If the number field is complex or complexrational, theta(arg) is only defined for im(arg)=0.  
Dirac delta function (1 for x = 0, 0 otherwise)  dirac(arg)  dirac(x)  If the number field is complex or complexrational, dirac(arg) is only defined for im(arg)=0.  
Exponential function  exp(x) or e^x  exp(2*x)  
minimum/maximum function  min(arg), max(arg)  min(myMatrix), min([1;3;2;5])  arg has to be a matrix or row vector: either an identifier or directly described using the python like syntax. Those two functions are not defined for nonreal numbers. 
If the number field is chosen to be complex or complexrational, the imaginary unit is i
, and there are the functions re
and im
for the real and imaginary part, e.g. re(1+2*i)
and im (1i)
.
This is used to described conditions, such as in \randadjustif or in generic visualization's \IFELSE command
It is basically a relation between the values of two Operations or function from the 1st category
Category  Syntax  Examples  Note 

Equal  left=right  x=0, x=y, (x)=1  is true if the value of the left side equals the value of the right side 
Not equal  left!=right  x!=0, x!=y  
Greater than  left>right  x > y  
Less than  left < right  x < y  
Greater than or equal  left >=right  x >= y  
Less than or equal  left <=right  x <= y, abs(x)<3, sin(x)<0.5  
Grouping brackets  [left>=right]  [abs(x)>3] AND [abs(x)<5]  use to group a relation 
Negation  NOT [left > right]  NOT [x = y]  negate the relation in the brackets, returns true if x != y 
AND  [cond1] AND [cond2]  [x>0] AND [x<3]  
OR  [cond1] OR [cond2]  [x<0] OR [x>3] 
In a generic visualization, var(arg)
can be used in operations or conditions and it will be replaced by the value of
the variable with the name arg. Remember to write var as a function var(x)
and not as a Texcommand \var{x}.
12345 \begin{variables}
\randint{x}{5}{5} %create two random integers
\randint{y}{5}{5}
\point{p1}{real}{var(x),var(y)} %creates a point on (x,y) depending on the values of x and y.
\end{variables}
Updated by Michael Heimann, 8 months ago – 666f2d2