| see [https://en.wikipedia.org/wiki/Mathieu_function Mathieu Functions on Wikipedia.]
|}
== EM.Cube's Miscellaneous Python Functions ==
{| class="wikitable"
!scope="col"| Syntax
!scope="col"| Type
!scope="col"| Description
!scope="col"| Notes
|-
| gauss(x,mu,sigma)
| EMAG Python function
| Gaussian function of mean mu and standard deviation sigma
| exp(-0.5*((x-mu)/sigma)**2)/sigma/sqrt(2*pi)
|-
| msin(x,r)
| EMAG Python function
| super-quadratic sine function of order r
| -
|-
| mcos(x,r)
| EMAG Python function
| super-quadratic cosine function of order r
| -
|-
| sigmoid(x,a)
| EMAG Python function
| Sigmoid function of slope a
| 2/(1 + exp(-a*x)) - 1
|-
| bh_window(x,T)
| EMAG Python function
| Blackman-Harris window function
| -
|-
| bh_step(x,T)
| EMAG Python function
| Blackman-Harris step function
| -
|-
| rand(x,y)
| EMAG Python function
| Random function
| -
|-
| rosen(x,y,a,b)
| EMAG Python function
| Rosenbrock function
| (a-x)**2 + b*(y-x**2)**2
|-
| mean(x,y)
| EMAG Python function
| arithmetic mean of x and y
| 0.5*(x+y)
|-
| geo(x,y)
| EMAG Python function
| geometric mean of x and y
| sqrt(x*y)
|-
| harm(x,y)
| EMAG Python function
| harmonic mean of x and y
| 2/(1/x+1/y)
|-
| sqr2(x,y)
| EMAG Python function
| sum of squares of x and y
| x**2 + y**2
|-
| sqr3(x,y,z)
| EMAG Python function
| sum of squares of x and y and z
| x**2 + y**2 + z**3
|-
| sqrt2(x,y)
| EMAG Python function
| radius of 2D point (x,y)
| sqrt(x**2 + y**2)
|-
| sqrt3(x,y,z)
| EMAG Python function
| radius of 3D point (x,y,z)
| sqrt(x**2 + y**2 + z**3)
|}
== EM.Cube's Native Python Functions ==