Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

  Wolfram/GitLink

Integrate git functionality into the Wolfram Language

  WolframExternalFunctions/GSLLink

GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language

  WolframChemistry/ProteinVisualization

Functions for protein visualizations

  TheRealCStover/Trigonometry

A collection of lesser-known circular and hyperbolic trig functions and their inverses

  StianRamsnes/MaXrd

Symmetry data and utilities related to crystallography and X-ray scattering

  KlausSutner/Automata

Automata theory package

  JanM/Dixon

The Dixon elliptic functions in Mathematica

  AntonAntonov/QuantileRegression

Quantile regression functions

  DirectionalD

Compute the directional derivative of a function

  DirectionalDerivative

Compute the directional derivative of a function at a point

  MatrixPartialTrace

Calculate a partial trace of a matrix

  ComplexD

Compute a partial derivative with respect to a complex variable or its conjugate

  NDerivative

Find a numerical approximation to a function derivative near the specified point

  DerivativeSignCharts

Get a grid of sign charts for a function and its first and second derivatives

  QuantumPartialTrace

Partially trace out specified subsystems of a quantum basis, state or operator

  PartialOrderGraphQ

Test whether a graph is a partial order, that is, reflexive, antisymmetric and transitive

  PointsetDerivativeRoots

Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points

  DirectionalDerivativePlot3D

Visualize the directional derivative in a 3D plot

  Proportional-Derivative Op-amp Model

Model of a Proportional-Derivative (PD) controller op-amp circuit

  Proportional-Integral-Derivative Op-amp Model

Model of a Proportional-Integral-Derivative (PID) controller op-amp circuit

  IncompletePFD

Give the incomplete partial fraction decomposition of a rational function

  ProductD

Evaluate the product derivative of a function

  ExtendedApart

A partial fraction decomposition with the Extension option

  ProductRule

Represent the derivative of a product, explicitly displaying the terms

  ChainRule

See how to apply the chain rule for derivatives

  SumRule

See how to apply the sum rule for derivatives

  QuotientRule

See how to apply the quotient rule for derivatives to an expression

  VariationalD

Get the variational derivative of a functional

  ImplicitD

Compute the derivative y' as a function of x from an implicit equation in those variables

  PowerRule

See how to apply the power rule for derivatives to an expression

  FractionalOrderD

Compute the fractional derivative of an expression

  IntegratePFD

Integrate a rational function using partial fraction decomposition

  ChainD

Get the derivative with respect to a function

  Unthread

A partial inverse for Thread

  MaximalSubsets

Prune non-maximal subsets from a list of subsets

  MinimalSubsets

Prune non-minimal subsets from a list of subsets

  ReplaceAllUnheld

Apply replacement rules to evaluated parts of expression

  RemoveSubintervals

Remove intervals that are wholly contained in other intervals

  ListD

Find the numerical derivative of a list of values or pairs of values

  WolframAlphaMath/SpecialFunctionsAndCalculus

Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more

  FunctionDifferentiability

Find the conditions for which a single-variable, real-valued function is differentiable

  DirectedGraphTransferMatrix

Obtain partial probabilities of random walks on a directed graph

  AssessmentTree

Create a tree of AssessmentFunction expressions to traverse during assessment

  PiecewiseD

The derivative of a piecewise function with Indeterminate for points or regions where the function is not defined

  ApartAll

Compute a partial fraction decomposition over the algebraic closure of the rationals

  ArithmeticD

Compute the arithmetic derivative of a rational number

  FractionalD

Calculate a fractional derivative

  PossiblyDifferentiableQ

Determine whether a single-variable, real-valued function is differentiable

  TangentLine

Compute properties of the tangent line to a curve at a given point

  ChristoffelSymbol

Return the Christoffel symbol for a given metric

  PulsarPDotDiagram

Plot the positions of pulsars in a P-Ṗ diagram

  MeanValueTheoremQuiz

Generate a quiz to assess understanding of the mean value theorem for derivatives

  IncrementalParallelSelect

Incrementally select elements in parallel from a list or infinite range that satisfy a predicate

  Solve PDEs with Events over Regions

Model thermostat-controlled heat generation in a room with three insulated walls and a glass front

  HessianMatrix

Compute the Hessian matrix of a function with respect to a list of variables

  HessianDeterminant

Compute the Hessian determinant of a function with respect to a list of variables

  Solve Poisson's Equation Over an Interactively Changing Region

Manipulate the boundary conditions interactively for a solution to Poisson's equation over a rectangle

  GeneralizedChaosGame

Create fractals with random partial jumps toward reference points

  BacktrackSearch

Solve computational problems using a generic backtracking algorithm

  DVectorField

Generate the tensor associated with the nth derivative of a vector field at a point

  NormalLine

Compute properties of the normal line to a curve at a given point

  FunctionMonotonicity

Compute the regions on which an expression is monotonic

  ThieleExpansion

Expand a function into a Thiele continued fraction

  SymbolicSort

Sort symbolic expressions using assumptions

  Range of Pulsar Spin Rates

Plot the rotation period versus the period derivative of pulsars

  RecognizeSeries

Recognize functions by their power series expansions

  FractionalDPolynomialRoots

Compute and visualize the roots of fractional (noninteger) derivatives of polynomials

  InflectionPoints

Find the inflection points of a function of one variable

  FiniteDifferenceStencil

Compute the finite difference stencil for a specified set of variables and their derivatives

  Scaled-YOLO V4 Trained on MS-COCO Data

Detect and localize objects in an image

  YOLO V5 Trained on MS-COCO Data

Detect and localize objects in an image

  DorlingCartogram

Create a non-overlapping cartogram type with visual equalization, partial topology preservation and no shape preservation

  SignChart

Get a number line diagram with information about where a function is positive, negative, zero or discontinuous

  HarmonicConjugate

Compute the harmonic conjugate of a function

  SolarEclipseIcon

Create a simple icon representing the appearance of a solar eclipse

  MonotonicInterpolation

Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data

  ZigangPan/DifferentialGeometricNonlinearControl

Some function implementations of differential geometric operators

  Discover and Define Physical Quantities and Units

Find canonical units for derivatives of physical quantity variables and create new quantities and unit

  Numerical Solution to the Telegraph Equation in 1D

  UpperTriangularDecomposition

Find an upper triangular form and conversion matrix for a given matrix

  PivotedLUDecomposition

Compute the LU decomposition of a matrix with different pivoting methods

  ArcInterpolation

Create an interpolation augmented with first derivatives of circles through consecutive point triples

  Modes of a Pentagon Drum

Compute and plot eigenmodes of a polygon drum

  Cooling Effect of a Duct with a Cooling Liquid

Neumann heat flux values prescribe the flux over the boundary edge of an axisymmetric cross section of a pipe

  DominatingIntegerPartitionQ

Determine if one integer partition dominates another

  PDE over a 3D Space Shuttle Region

Apply Finite Element method to solve PDEs over a 3D space shuttle region and visualize solutions

  Solve a Nonlinear Model of Fluid Flow

Model the time-dependent flow around a cylinder with the transient Navier–Stokes equation

  SequenceLimit

Numerically estimate the limit of a sequence of values

  Magnetic Potential inside an Electric Motor

Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem

  Model Energy Transport Dynamics

Solve Navier-Stokes equations coupled with a heat transfer equation over a rectangular region with cutout

  Fokker–Planck Mass Transport Model

  Solute Diffusion under Centrifugation

Model the Lamm equation in a sector of a disk

  Smoluchowski Diffusion Equation

Model diffusion with a conservative mass transport equation

  Numeric Cyclic Voltammetry

Solve a coupled reaction model

  Sketch-RNN Trained on QuickDraw Data

Generate hand-drawn sketches

  GaussianCurvature

Compute the Gaussian curvature of a surface

  TangentAndNormalLine

Compute properties of the tangent and normal lines to a curve at a given point

  JacobianMatrix

Compute the Jacobian matrix of a vector function with respect to a list of variables

  PrincipalCurvatures

Compute the principal curvatures of a surface

  JacobianDeterminant

Compute the Jacobian determinant of a vector function with respect to a list of variables

  DualNumber

Represent a dual number

  LahL

Evaluate the Lah number

  LogSymmetricPolynomial

Calculate the log of an elementary symmetric polynomial

  OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

  OsculatingParabola

Get the osculating parabola of a plane curve

  RadiusOfAberrancy

Compute the radius of aberrancy of a plane curve

  OsculatingConic

Get the osculating conic of a plane curve

  CurveAberrancy

Compute the aberrancy of a plane curve

  AberrancyCurve

Compute the curve of aberrancy of a plane curve

  NormalTexture

Generate a normal texture from height data

  StationaryPoints

Compute the stationary points of a function of one or more variables

  Coronavirus COVID-19 Pandemic Government Measures

Measures taken by governments from different countries to fight the coronavirus COVID-19 pandemic caused by the SARS-CoV-2

  NSolveByMonodromy

Numerically solve for isolated roots of a square system of polynomial equations using monodromy