ToBoxes[expr] generates boxes corresponding to the printed form of expr in StandardForm. ToBoxes[expr, form] gives the boxes corresponding to output in the specified form.

Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

Within a standard interactive session, you can create "subsessions" or dialogs using the Mathematica command Dialog. Dialogs are often useful if you want to interact with ...

The Lotka–Volterra system arises in mathematical biology and models the growth of animal species. Consider two species where Y_1(T) denotes the number of predators and Y_2(T) ...

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

LayeredGraphPlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a layered plot of the graph in which vertex v_ik is connected to vertex v_jk.LayeredGraphPlot[{{v i 1 -> v j ...

ParallelTable[expr, {i_max}] generates in parallel a list of i_max copies of expr.ParallelTable[expr, {i, i_max}] generates in parallel a list of the values of expr when i ...

Mathematica is uniquely suited for processing symbolic expressions because of its powerful pattern-matching abilities and large collection of built-in structural manipulation ...

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Polygon[{pt_1, pt_2, ...}] is a graphics primitive that represents a filled polygon. Polygon[{{pt_11, pt_12, ...}, {pt_21, ...}, ...}] represents a collection of polygons.