DynamicModule[{x, y, ...}, expr] represents an object which maintains the same local instance of the symbols x, y, ... in the course of all evaluations of Dynamic objects in ...

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...

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The Mathematica function Integrate[f,x] gives you the indefinite integral ∫f dx. You can think of the operation of indefinite integration as being an inverse of ...

GraphicsGrid[{{g_11, g_12, ...}, ...}] generates a graphic in which the g_ij are laid out in a two-dimensional grid.

Special forms for some common symbols. This is equivalent to Sin[60Degree]. Here is the long form of the input.

Arg[z] gives the argument of the complex number z.

Roots[lhs == rhs, var] yields a disjunction of equations which represent the roots of a polynomial equation.

FrameTicksStyle is an option for 2D graphics functions that specifies how frame ticks should be rendered.

You can use the Mathematica function DSolve to find symbolic solutions to ordinary and partial differential equations. Solving a differential equation consists essentially in ...