StreamPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y. StreamPlot[{{v_x, v_y}, {w_x, ...

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 ...

FindShortestTour[{e_1, e_2, ...}] attempts to find an ordering of the e_i that minimizes the total distance on a tour that visits all the e_i once.

ColorData["scheme"] gives a function that generates colors in the named color scheme when applied to parameter values. ColorData["scheme", " property"] gives the specified ...

$NewSymbol is a global variable which, if set, is applied to the name and context of each new symbol that Mathematica creates.

$NewMessage is a global variable which, if set, is applied to the symbol name and tag of messages that are requested but have not yet been defined.

Mathematica works with both exact quantities and approximate numbers. Using N , you can obtain a numerical approximation to an exact quantity with any desired precision or ...

3D geometry format. ASCII or binary format. Used for storage and interchange of 3D graphical objects. Known as Stanford Triangle Format. PLY is an acronym derived from ...

ArrayRules[SparseArray[...]] gives the rules {pos_1 -> val_1, pos_2 -> val_2, ...} specifying elements in a sparse array. ArrayRules[list] gives rules for SparseArray[list].

CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...