ReplacePart[expr, i -> new] yields an expression in which the i\[Null]\[Null]^th part of expr is replaced by new. ReplacePart[expr, {i_1 -> new_1, i_2 -> new_2, ...}] ...

StateOutputEstimator[ss, l] constructs an estimator for the StateSpaceModel object ss with estimator gain matrix l.StateOutputEstimator[{ss, sensors}, l] uses only sensors as ...

VertexLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for vertices.

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

Documentation Center navigation shortcuts. Window cycling shortcuts. Scrolling shortcuts.

NDSolve returns solutions as InterpolatingFunction objects. Most of the time, simply using these as functions does what is needed, but occasionally it is useful to access the ...

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

CUDALink allows Mathematica to use the CUDA parallel computing architecture on Graphical Processing Units (GPUs). It contains functions that use CUDA-enabled GPUs to boost ...

RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.