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1046 items
Run virtual machines in the Wolfram Language
Utilities for creating and editing stylesheet notebooks
A sample paclet used to demonstrate basic CI/CD workflows at the 2022 Wolfram Technology Conference
Perform analytic and numeric quantum computations
Utilities for working with patterns
Integrate git functionality into the Wolfram Language
Prototype implementation of next-generation error handling for Wolfram Language, from the Error Handling Working Group (EHWG)
Parser for command line arguments
Utilities for testing code equivalence
SELF-referencIng Embedded Strings
Compute and compare molecule fingerprints
Generate Isomers from Chemical Formulas
Build plugins for ChatGPT in just a few lines
A Wolfram Language implementation of the area method for geometry
A sample paclet used to demonstrate more complex CI/CD workflows at the 2022 Wolfram Technology Conference
Symmetry data and utilities related to crystallography and X-ray scattering
Model, stochastically simulate, and visualize arbitrary open chemical systems using a Petri Net framework
Build, visualize, analyze, and simulate compartmental models
This paclet is for recreational mathematics and math puzzles
A collection of mixed graph functionality
A paclet for linear algebra and its applications
A paclet for applications of dimensional analysis in physics and the engineering sciences
Additional functionality for the core language and structure of Mathematica
Telegram Bot API client for the Wolfram Language
Rest API and WebSocket clients for different crypto currency exchanges
3D models of optical elements
TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals
Extract lexical patterns from text
Explore the Wireworld Turing-complete cellular automaton
GPT, DALL-E, and more through the OpenAI API
Workspaces for auto-saving and quickly switching between sets of notebooks
Import data from baseball-reference.com
Implementation of Zero Knowledge proof interactive and non-interactive protocols
Variables importance determination using classifiers
Tilling over 2D data and related statistics
Sparse matrices with named columns and rows
Notebook style with cells for execution of PaLM commands
Notebook style with cells for execution of OpenAI commands
Code generation by filling in templates using NLP techniques
Mosaic plots for datasets and lists of records
A software monad for Sparse Matrix Recommender (SMR) workflows
Software monad for Quantile Regression workflows
Software monad for Latent semantic analysis
Graphics and images corresponding to mermaid-js specifications
WL interface to Tries with frequencies implemented in Java
Translation of natural language commands to code
Dimension reduction algorithms
Cryptocurrency data retrieval
Compute the shortest interval that contains a given amount of probability mass
Find the cumulative probability within the specified elliptic domain
Compute the radial distribution function of a set of n-dimensional points
Represent matrix elements via density state multipoles (statistical tensors)
Represent state multipoles (statistical tensors) via density matrix elements
A derived distribution useful in actuarial science
The collection of named vertex shape functions in the Wolfram Language
The collection of named edge shape functions in the Wolfram Language
Definitions of the mock theta functions
Sample from a probability density function using the Markov chain Monte Carlo (MCMC) method
UN-adjusted gridded world population density for the years 2000, 2005, 2010, and 2015
Compute the relative probability of finding a point at a given distance from another point
Construct a function that, when given a threshold probability value, produces a confusion matrix
Power density in various systems in the universe for a comparison of their thermodynamics efficiency
Evaluate the integral of the complementary error function
The logit function from probability
Suggest an alternative name for a given function
A model-based approach to contrast agent transport
Fast numerical estimation of the power spectral density or the cross spectral density
Visualize measurement results
Determine the parity of a function, even or odd, with respect to one or more variables
Obtain function values for an arbitrary recursive function
Get a named easing function, representing rate of change of a parameter over time
SemanticSearchIndex of the documentation for Wolfram Function Repository submissions
Get information about a real-valued univariate function
Convert an expression to a pure function by specifying which symbols should be used as input arguments
Determine the intervals on which a function is positive, negative or zero
Determine the injectivity and surjectivity of a function
Calculate conditional and marginal distributions of the multivariate normal distribution
Generate geometrically distorted maps, where the distortion conveys information derived from the input data
Reverse the order of two arguments of a function
Transform a statistical distribution by applying the same function to all of its arguments
Use functions meant for lists on strings
A non-convex mathematical function that is commonly used as a benchmark problem in optimization
Find the conditions for which a single-variable, real-valued function is differentiable
Illustrate the behavior of a real-valued function in the form of sound
Generate a swept-frequency sinusoidal function
Compute the discontinuities of a function of a single variable
Build an elliptic function with given periods, zeros and poles
Convert a Wolfram Language function to a Python function
Compute numerically the Choquet integral of a function with respect to a probability distribution
Represent a product of distributions where some distributions can depend on others
Access functions deployed to your own or another user’s Wolfram Cloud account that are not in the official Function Repository
Determine whether an expression is an even function of the given variable or variables
Find the cusps of a curve
Find the corners of a curve
Determine whether an expression is an odd function of the given variable or variables
Compute the regions on which an expression is concave up or down
Get a pure function whose argument is a vector for a given multivariable scalar function
Generate a pattern that matches a resource function
Extract data from an InterpolatingFunction object
Obtain the domain of an InterpolatingFunction object
Search the Wolfram Resource System for specified resource functions
Compute the regions on which an expression is monotonic
Determine whether a function is continuous
Install a resource function persistently so that it can be used like a built-in function
Allow a function to perform pure numeric computation by silently ignoring non-numeric values
List all of the Wolfram Function Repository resources in a category
Get information about the most recently-released resource functions
Determine whether an expression represents a rational function of a given set of variables
Generate a quiz to assess understanding of linear functions
Convert a pure function into a simpler form
Determine whether an expression represents a quadratic function of a given set of variables
Plot the density of keywords in a piece of text
Convert an InterpolatingFunction to a Piecewise representation
Get a pure function whose argument is a vector or a matrix for a given tensor
Apply a Boolean function to corresponding bits in integers
Obtain topological information of polymers or biopolymers and other simple or complex structures
An operator form of ExpressionToFunction that can be applied to expressions
Get one or more functions of a single complex variable
Distribute resource function definitions to parallel kernels
Define color functions based on the cosine function
Determine whether an expression represents a linear function of a given set of variables
Convert a resource function into a paclet with local documentation
Convert a rule between expressions that depend on one or more variables to a pure function rule
Compute a function of a square matrix
Format a symbol as a ResourceFunction in outputs
Add a way to interactively input ResourceFunction symbols inline
Get a list of the symbols used in the definition of a resource function
Number of soldiers in the Prussian cavalry killed by horse kicks
Create a diverging color map with a neutral central color
Compile a color function for improved performance in colorizing images
Compute the evolution of a multiway system based on function evaluation over the integers
See all evaluations of a given function
Generate color functions using the "cubehelix" method
Plot a given number of periods of a periodic function
Give a color function a periodic perturbation
Compute the effect of an incoherent bit-flip noise channel on the expected value of a quantum operator
Check if a function is monotonic
Create a color function from colors in an image
Plot the values of a function at the vertices of a graph
Given two dice, calculate the odds that the first will win, tie or lose
Generate a function that displays graphical objects at successive times
Open a palette for quickly creating hyperlinks for built-in or repository functions
Computes an expectation of classifier measurements over a probability distribution of utility functions
Print a labeled message from ResourceFunction with contexts hidden
Create a symbol for each named resource function
Compute the probabilities and statistics associated with tossing a coin
ResourceFunction time machine
Obtain a graph whose vertices and edges trace the evaluation of a recursive function
Obtain and visualize a decade of earthquake data in Japan
Total number of smallest parts in the partitions of a positive integer
Obtain partial probabilities of random walks on a directed graph
Represent a MarginalDistribution permitting negative numbers as indices
Resample data to correct for sampling bias
Compute the root mean square of a function
Check if a function is strictly monotonic
Create a smooth parametrized function from a list of points with flexible control over smoothing
View the definitions of a resource function along with its dependencies
Simulate dice tosses for various combinations of dice
Information about 50 combinator functions
Dynamically simulate tossing a coin
Calculate the Kullback–Leibler divergence between two distributions
Calculate a partial trace of a matrix
Evaluate the CIE color matching functions for a given wavelength
Create a density plot of a solution to the equations on a mesh
Obtain a conditional categorical distribution formed by restricting the domain of a categorical distribution
Convert among various units of density of aqueous solutions related to sweetness
Create an array with a specified slope in the power spectral density
Quickly cluster a point cloud by recursive separation
Engage with multiple APIs and dispatch quantum tasks
A collection of rules and their repetition periods as a function of size
Language model and other API based machine learning functions for the WL
Wolfram Language functions for Chemistry
Encapsulated External Functions
Reliability-related algorithms and tools
Functions for modifying associations
Evaluate the Lommel function
Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings
Get the frequency of letters appearing in texts
Evaluate the Bickley function
Evaluate the Jacobi epsilon function
Evaluate the associated Anger–Weber function
Replace each element of a list with the sum of the elements in the original list that are not to the left of that element
Evaluate the Faddeeva function
A package for reading and writing YAML files
Compute probability of having glaucoma given the intraocular pressure
Compute the probabilities and locations of a set of words in a recording
Creates an Association containing values for the six standard commutation functions used in actuarial mathematics
Estimate the confidence interval based on a normal distribution
Estimate the confidence interval based on Student's t-distribution
Receiver Operating Characteristic (ROC) functions
Collection of network related functions for the Wolfram Language
Use a transfer-function model of an aircraft's longitudinal dynamics to assess its frequency response to an elevator deflection
Find ellipsoidal location statistics
A collection of utilities for creating Lambda Feedback evaluation functions for the Wolfram Language
A collection of utilities for creating Lambda Feedback evaluation functions for the Wolfram Language
Evaluate the Takagi function
Smooth transition functions for control design
Evaluate the Struve–Kelvin stei function
Evaluate the triple gamma function
Evaluate the Clausen function
Find optimal Huffman code words given a list of probabilities
Find zeros of the ScorerGi function
Evaluate the Weber parabolic cylinder function U
Simplify gamma functions in expression
GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language
An operator form of the Quantile function
Simplify Bessel functions in expression
Evaluate the Struve–Kelvin ster function
Compute the distribution of the amount in excess of a specific value drawn from an underlying distribution
Simplify polygamma functions in an expression
Evaluate the Hadamard gamma function
Simplify zeta functions in expressions
Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more
Compute the mediant of a list of non-negative rationals
Expand elliptic functions in an expression
Provides geo-hashing functions, enabling the encoding and decoding of coordinates into hierarchical strings.
Evaluate the Heuman lambda function
A compilation of the 192 solutions to the Heun differential equation
Evaluate the Weber parabolic cylinder function V
Evaluate the Neumann polynomial
Apply a function to elements at certain positions and another function to the rest of the elements
Find proteins by median feature count for various molecular functions
OECD time series data for number of beds for 1000 inhabitants
Find the ellipsoidal loci of the quartiles of matrix
Express MeijerG expressions in terms of HypergeometricPFQ
Evaluate the Eisenstein series
Use a continuous probability distribution common in statistics, particularly in the field of particle physics
Define a continuous probability distribution characterized by a Gaussian core and a power-law tail
Estimate the confidence interval of the difference between the population means
Use the functionality of the Python package NetworkX,without any knowledge of Python
Replace personally identifiable information in text with fictionalized versions
Rephrase text to modernize it
Find definitions for symbols in a context using a pattern, getting highlighted occurrences of it
Express FoxH in terms of MeijerG whenever applicable
Simulate and analyze the probability of shared birthdays in a million randomly selected groups
Create a mixture distribution of categorical distributions and output it as a new CategoricalDistribution
Find the probability of the absolute value of the test statistic being at least as extreme as the given value
Evaluate the Lommel polynomial
Evaluate the inverse function of EllipticE
Explore a time series of quantity-valued data
Counts the number of times an integer k appears within all possible ways to partition an integer n without calculating n’s integer partitions
Estimate the confidence interval based on a Chi-squared distribution
Get a browsable, hyperlinked definition of a symbol
Evaluate the regular Coulomb wavefunction
Visualize a complex function as an array of bubbles
Count the number of arguments a pure function or compiled function takes
Evaluate the Schläfli polynomial
Evaluate the Kurepa function
Get information about named functions used in VertexShapeFunction and EdgeShapeFunction
Time series data for number of beds per US state for 1000 inhabitants by ownership type
Get a dynamic plot of a univariate function along with supplemental information
Estimate the confidence interval of the ratio of the population variances
Make a Saunders plot of a function
Iteratively construct graphs up to a termination condition
Evaluate the Theodorus function
Evaluate the Nielsen function F
Measure the two-sample phase/frequency stability
Implement the Ramanujan mock theta functions
Compute the inverse factorial of a strictly positive integer by solving the gamma function for a specific value
Evaluate the Carleman matrix of a function
Compute the Kullback–Leibler divergence between two multinormal distributions
Evaluate the matrix sign function
Get a dynamic plot of a univariate function along with supplemental algebraic and calculus-based properties of the function
Estimate the confidence interval based on an F-ratio distribution
Evaluate the Nielsen function G
Split a vector-valued piecewise function into a list of piecewise functions
Get the value of the Plouffe P function
Evaluate the sine-elliptic Mathieu function
Evaluate the cosine-elliptic Mathieu function
Classify the land surface in a satellite image
Design a Butterworth filter model and obtain the filter's transfer function and impulse response
Evaluate the Fabius function
Evaluate the multifactorial function
Debug applications of a function more easily by printing its arguments and the result
The Dixon elliptic functions in Mathematica
Make an inside-outside plot of a function
Get the integers from 1 to n that have no common proper factor with n
Construct Grover's circuit to find solutions of a Boolean function
Calculate the number of standard deviations of a normal distribution that correspond to a confidence level
Visualize one-dimensional iterated functions
Convert a list of strings into a phrase
Add Tech Industry jargon to standard text
Create a string of the FullForm of an expression with fully qualified symbol names
Compute the Jacobian matrix of a vector function with respect to a list of variables
Compute the Jacobian determinant of a vector function with respect to a list of variables
Map functions over data, stopping when an error is generated
Convert a mathematical expression into an equivalent expression with head MeijerG
Convert a mathematical expression into an equivalent expression with head FoxH
Evaluate the elliptic rational function
Use distance metric functions on audio features extracted from audio signals to compute similarity
Approximate a function with a polynomial
Compute the indefinite integral of an algebraic function in terms of elementary functions
Find a rational interpolation of a function
Check if a symbol has definitions associated with it
Evaluate the fusc function
Evaluate code in a resource function definition notebook
Suggest a comment to describe a given block of code
Generate an association from applying different operations to an expression
Calculate the numerical value of the Hölder double sine function
A sigmoidal interpolating rational function
Find a rational interpolation of a function defined parametrically
Evaluate Bulirsch's general complete elliptic integral
Convert Tech Industry jargon into plain speak
List all possible unary and binary combinations for a chosen set of functions and symbols
Get a color based on the Digital Library of Mathematical Functions (DLMF) color wheel
Find a mini-max approximation of a function defined parametrically
Provide a new context that contains no symbols
Return a fully qualified name of a symbol regardless of current context settings
Evaluate the solution of the standard Kepler equation
Decompose a nested iteration into its transient and repeating parts
List all irreducible binary compositions for a set of chosen symbols and a chosen simplification rule
Generate a random surface with B-splines
Get the shortest displacement between two points in a box with periodic boundary conditions
Use a piecewise function to create a helical path around a molecule for animation
Estimate the parameters of the quantum channels modeling a noisy environment with optimization functions
A sigmoidal interpolation function
Compute the mean of a list of numbers all taken to some power
Compute the total of a list of numbers all taken to some power
Plot Riemann surfaces of compositions of elementary functions
Train a simple classifier to distinguish daytime photos from nighttime ones
Evaluate the Schur polynomial corresponding to an integer partition
Evaluate a matrix polynomial
Evaluate the inverse tangent integral
Functionally compose a Boolean expression
Inverse of the Boole function
Calculate the coefficient of series P(x)/Q(x) in front of x^n, where P(x) and Q(x) are polynomials in x
Generate a binary tree representation of Bernoulli numbers by Woon's method
List all possible binary compositions for a set of chosen symbols
Get a list of symbols that an expression depends on
Browse a list of hyperlinked definitions associated with a symbol
Find symbols whose definition contains specified pattern
Copy the definitions of one symbol to another
Transform an expression by replacing all symbols in one context with symbols of the same name in another context
Evaluate the shortest distance between two points in a box with periodic boundary conditions
Choose positions of an expression by certain traversal-ordering criteria
Evaluate the Epstein–Hubbell integral
Hash an expression using Fowler-Noll-Vo hashing
Compute the indefinite integral of a rational function
Find the parameterization of a curve that linearly connects a list of points
Find a mini-max approximation of a function
Compute the inverse Fibonacci function
Functions for protein visualizations
Quantile regression functions
General Utility Functions
Various functions for multicomputation
A few functions for $Assumptions
Notebook modification functions
Outlier identifier functions
Functions for undirected graphs
Evaluate the radial distribution function for a fluid of hard spheres
Evaluate the regular solid harmonic function
Compute the Schett polynomial
Map the argument of a complex number to a color
Convert vector descriptions of mortality into another representation
An improved sigmoidal interpolation function
Easily create a local web server for hosting APIFunctions, FormFunctions, URLDispatchers, etc.
An auxiliary function for the resource function FrobeniusPiecewiseDSolve
Construct a function from another function that holds certain arguments
Map a function to pairs formed from a list and another function
Number Theory utility functions
Temporarily set $Context and $ContextPath to a unique empty context for an evaluation
Compute the arity of a function
Serialize an expression along with any dependent definitions
Create fractals with random partial jumps toward reference points
Functions for manipulating files and directories
Convenience and Experimental function implementations
Functions for creation of epidemiological models
Functions for making software monads
Functions for association rule learning
Evaluate Jordan's totient function
Find the inflection points of a function of one variable
Compute the values of the function from which the de Bruijn–Newman constant is defined
Represent the Wishart distribution
Evaluate the Zolotarev polynomial
Reverse a Curry operation
The derivative of a piecewise function with Indeterminate for points or regions where the function is not defined
Bias a value in the unit interval either lower or higher
PaLM API linking functions
A paclet that contains functions for date and time
This paclet is some basic utility functions
Work with logical functions and boolean values
Combinatorics functions for subsets, tuples, and permutations
Combinatorics functions for subsets, tuples, and permutations
Functions for caching with automatic garbage collection
Functions for discovering, viewing, and managing diffs
A collection of WL implementations of Matlab functions
Evaluate the radial pseudo-Zernike polynomial
Represent the distribution of a quadratic form with a multivariate normal
Create a lognormal distribution using mean and median as parameters instead of the conventional parameters
Get the simplex median of the elements of a matrix
Find the scalar mean of the Euclidean distances between the multivariate data points and their mean
Find the kurtosis coefficient for multivariate data
Find the median Euclidean distance from the median of the elements of multivariate data
Find the mean of multivariate data after removing outermost points
Create a beta distribution using the mean and a measure of its spread as parameters instead of using the conventional parameters
Compute the harmonic conjugate of a function
Sort symbolic expressions using assumptions
Evaluate the irregular solid harmonic function
Extra examples for the resource function PlotGrid
Some function implementations of differential geometric operators
Plot a surface together with various types of sections of the surface
Create a parametric plot of a curve in the plane with direction indicated by arrowheads and color
Create a parametric plot of a curve in space with direction indicated by arrowheads and color
Find the permutation that maximizes a function
A convenience function for renaming files
Evaluate the product integral of a function
Compute the directional derivative of a function
A symbolic version of the Fourier function
Get the derivative with respect to a function
Evaluate the product derivative of a function
Expand a function into a factorial series
Add a toolbar for formatting function documentation to a notebook
Evaluate Bulirsch's general incomplete elliptic integral
Retrieve data on the published resource objects for a publisher
Count the number of distinct necklaces made with beads of different colors
Find the number of times the domain coloring of a function wraps around the color wheel along a given curve
Utilities for locally overriding function behavior, useful in software testing and much more
Integrate a rational function using partial fraction decomposition
Find the coordinate vector of a vector with respect to a basis
Various simple matrix decompositions algorithms and support functions
Functions for creation and manipulation of tries (prefix trees) with frequencies
A set of functions to manipulate the unified model of Cellular Automata
Wolfram functions for calling Materials Project Rest API
A NetGraph layer implementing focal loss
A NetGraph layer implementing cos-dice loss
A generalized sigmoidal interpolating polynomial
Map a function at parts of an expression that match a given pattern
Evaluate Bulirsch's incomplete elliptic integral of the first kind
Simplify polylogarithms in an expression
Create summary statistics for numeric data
Create an example of Wolfram Language code using a specific symbol
Apply a flatter or steeper variation in the middle of an interval
Recognize functions by their power series expansions
Interpolate data using polyharmonic splines
Generate a tree of all expressions in an evaluation chain
Generate a graph of all expressions in an evaluation chain
Evaluate Bulirsch's incomplete elliptic integral of the second kind
Evaluate Bulirsch's incomplete elliptic integral of the third kind
A collection of lesser-known circular and hyperbolic trig functions and their inverses
Compute and plot the approximation to the integral of a function on an interval
Find the area between two plane curves
Find a numerical approximation of a series expansion of a function
Find a function with a given Fourier exponential series
Visualize the function evaluations done by FindMinimum
Implementation of the Turbo color map
Compute the intercepts of a function with the coordinate axes
Compute the directional derivative of a function at a point
Map different functions at particular positions
Expand a function into a Thiele continued fraction
Map a function over the coefficients of a polynomial
Find the critical points of a univariate function
Apply a function to specific subregions of an image
Find the tangent plane of a function at a point
Apply functions to specific keys in an association
Apply a function to neighboring pairs in a list
Apply functions to remap the Mandelbrot set
Find an economized rational approximation to a function
Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function
Get time-dependent data for a variety of space weather properties
Fast numerical approximation to the PDF of the Voigt distribution with around 1.2% of maximum deviation
Determine the number of significant digits in a number
Estimate the full size of a set given the number of distinct results in a sample
Tools for the lambda calculus
Compute a right-associated fold
Test if an expression corresponds to a valid symbol name
Generate a sequence of values using the Metropolis–Hastings Markov chain Monte Carlo method
Contracts sums of logarithms into a single logarithm
Generate a multiplication table for a range of integers, optionally using modular arithmetic
Return a discrete Dolph-Chebyshev window sequence
Compute the mutual information of data samples or a multivariate distribution
Store full definitions for a symbol in a compact object
Map functions over columns instead of rows
Pass a value to a function if the value satisfies a condition
Try to find the repetition period for nesting of a function
Transform a mathematical function into its musical representation
Nest an indexed list of functions to apply to an argument
Map a function conditionally over keys in an association
Get the flow of an iterated function at a fixed point
Approximate the root of a function using Newton’s method
Numerically integrate a function using the Padua points
Map a function over a list and join the result
Evaluate a function applied to each record in a file
Evaluate a smooth step function based on exponentials
Visualize the function evaluations done by FindRoot
Adds code completion to your function’s arguments
Produce random spatial graphs by sprinkling points into a Riemannian manifold with a specified intrinsic algebraic curvature function
Find the determinant of the covariance matrix
Get the total variation of a matrix
Perform an analysis of variance
Get a list of cloud-stored resource objects
Compute and visualize the roots of fractional (noninteger) derivatives of polynomials
Find a numerical approximation to a function derivative near the specified point
Find a numerical approximation for a function with a given Fourier exponential series
Visualize the Eigenvectors of a 2 x 2 or 3 x 3 matrix
Round a machine number to a prescribed number of significant digits using conventional rounding rules
Generate an HTTP response that prompts the browser to download as a given file name
Convert coefficients of a series with respect to one orthogonal polynomial basis into another
Functions for creating and working with MoleculeComplex's, which are collections of Molecule objects in the same 3D space
Collect histogram data in an association of bin intervals and bin heights
Get permutations that satisfy a certain criterion
Visualize the noise sphere of a set of random numbers
Calculate the geothmetic meandian of a list of numbers
Compute the Hessian determinant of a function with respect to a list of variables
Generate an interactive graphical quiz on the plotting of linear functions
Compute the Hessian matrix of a function with respect to a list of variables
Compute the stationary points of a function of one or more variables
Generate an interactive graphical quiz on the plotting of cubic functions
Calculate the value of the second Chebyshev function ψ(x)
Apply a function to progressively longer sequences from a list
Apply a function to a list and select the first that satisfies a test
Set up custom cell labels for a formatting function
Find a numerical approximation for a Fourier sine coefficient of a function
Calculate the value of the first Chebyshev function θ(x)
Find the error in the Gaussian quadrature approximation of a function’s integral
Generate an interactive graphical quiz on the plotting of quadratic functions
Transfinite interpolation of functions representing boundary curves of a surface
A function like Select that returns positions instead of values
Obtain the canonical bases for selected spaces of matrices and functions
Supplement Wolfram Language plotting functions with Python's Matplotlib
Count VerificationTest definitions for each function in a package
The position of the elements in a list that are largest according to a given function
Give the incomplete partial fraction decomposition of a rational function
Generate a geometric transformation function for inversion about a point
Find the values of parameters of a trial function that extremize a functional
Find a numerical approximation for a Fourier cosine coefficient of a function
Use Check and Quiet, conveniently combined into one function
An operator that applies multiple functions to one set of arguments
Test if a function doesn't evaluate for given arguments
Drop the largest values from a list based on a function
Drop the smallest values from a list based on a function
Measure the evaluation timings of a function on a given set of inputs
Compute an approximation to a factorial with Stirling's formula
Generate a complete binary tree of positive fractions
Creation of- and classification with ensembles of classifiers
Compute and plot an approximation to the integral of a function of two variables over a rectangle
Determine whether a single-variable, real-valued function is differentiable
Classify and plot any polynomial of degree two or less in three or fewer variables
Increase a bounding box by a fractional amount
Compute the polar radius of a regular polygon
Get the minimum and maximum of a list rounded to a multiple
Create a tree of AssessmentFunction expressions to traverse during assessment
Construct an interpolating polynomial approximation of a function using the Padua points
Compute the radical inverse of an integer to a given base
Alter a confusion matrix by stochastically flipping classification results
Create graphic displaying standard playing cards
Get the names of options for a function, possibly filtered according to a pattern
Generate a quiz to assess understanding of the graphs of sine and cosine functions
Create an operator that maps a function over data at a specified level
Map functions over lists while showing dynamic progress
Get a variable range against which to plot a given function
Make a word cloud from strings of names for symbols and functions
Find a numerical approximation for a Fourier exponential series coefficient of a function
Bin data into lists based on applying a function to each item
Apply a function to keys of an Association and group results by modified keys
Evaluate functions locally over any directed acyclic graph
Get the final result of nested application of an indexed list of functions
Search numerically for the values of parameters of a trial function that extremize a functional
Find a numerical approximation for an exponential Fourier series expansion of a function
Find a numerical approximation for a trigonometric Fourier series expansion of a function
Get a full timing report for functions evaluated during an evaluation
Map a function for elements in a list when a test gives True
Hold an expression and make its content inaccessible to other functions
Tally items that give the same value when a function is applied
Nest a list of functions around a seed, folding in a list of elements
Create an operator that applies a function over data at a specified level
Modify definitions of protected symbols and ensure that their attributes are restored
Generate the tensor associated with the nth derivative of a vector field at a point
Plot the composition of cycles having different radii, frequencies and phases
Make a B-spline representation of a polynomial over an interval
Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula
Plot a quadric surface, automatically determining the regions of interest, view direction and scaling
Get the number of permutations with a given number of ascents
Get the Euclidean distance between two real vectors without using absolute value
Display multiplication and/or division of factors with the form x^y as one factor
Get the cloud base for a cloud object
Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data
Calculate the Student's t-value that corrects for the bias of the unknown standard deviation in the statistical uncertainty of a measurement
Calculate the median of a list along with its uncertainty
Find the intraclass correlation coefficient (ICC) of a list of lists
Represent a double Pareto log-normal distribution
Calculate a histogram with Around objects and numbers
Get the position of a fraction or vice-versa within the Calkin–Wilf sequence
Get the position of a fraction or vice-versa in the Stern–Brocot sequence
A monad for machine learning classification workflows
Find what version of Wolfram Language you need to define a function
Look up a set of keys applying a function when a key is missing
Compute the Taylor polynomial of a given order of a function of one or several variables
Get a grid of sign charts for a function and its first and second derivatives
Find a numerical approximation to the inverse Fourier sequence transform of a periodic function
Merge a list of associations using different merge functions for different keys
A wrapper function for dynamic modules that causes a placeholder to be shown during initialization
Evaluate an expression while temporarily caching results from specified functions
A function like SplitBy, but with added support for using the indices of the elements in the list
Generate a new symbol name in the spirit of the Wolfram Language
Evaluate the Delannoy number
The position-space wavefunction of the hydrogen atom
A 3D rotatable Riemann sphere version of ComplexPlot
Evaluate the Fuss–Catalan number
Plot a curve defined by its curvature
Create a notebook of all documentation examples for a symbol
Use Get without modifying the $ContextPath
Display the regression line of a dataset
Fit multiple datasets with multiple expressions that share parameters
Universal Reversible Machine
Convert quantum bases, states or operators in Hilbert space to functions in phase space
Generate a plot in which the plot ranges and function parameters can be manipulated dynamically
Compute the derivative y' as a function of x from an implicit equation in those variables
Provide the part specifications to a mapped function as a sequence of arguments after the first one
Plot the function together with a graphical display of the Newton iterations approximating its root
Find the position of a target value within an array sorted after applying a function
Check if all the elements of a list give the same value after applying a function
Bootstrap a single statistic or a list of statistics
Find the limiting value of an expression numerically
Find a numerical approximation of a residue of an expression around the specified point
Get trigonometric datasets including closed-form values
Deploy a gallery of resource objects to the cloud
Plot the Frenet–Serret frame of a curve
Find a numerical approximation for an inverse Fourier cosine transform
Deploy a task to delete or replace a CloudObject after a delay
Evaluate Euler's false logarithmic series
Compute the order-k tetration of a number
Plot a curve defined by its curvature and torsion
Detect and localize objects in an image
Compute MeanAround for corresponding elements in a collection of lists of potentially different lengths
Calculate the cumulative averages of a list
Evaluate the divided difference of a finite orthogonal polynomial series
Generate the Jacobi matrix corresponding to an orthogonal polynomial
Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters
Retrieve stored results from a deployed QuestionObject
Deploy a question object to the cloud
Create forms with persistent values for cloud deployment
Evaluate the unwinding number
One of the more popular functions to describe the conventional correlation for the drag on a sphere in steady motion
Prepare rectangular data for use in the machine learning functions Classify, Predict and NetTrain
Map a function over selected elements of a list, also passing in a running count of such elements
Like an operator form of GroupBy, but where one also specifies a reducer function to be applied
Map a function over the keys of an association, and collect or combine values in the event of key collisions
Apply a function on an expression when FailureQ gives True on it; otherwise, return the expression
Create a graph by successively applying a function and differently tagging edges corresponding to different outputs
Extract a message that has been hidden in an image using the resource function SteganographyInsert
Computes the Hedges g statistic measuring an "effects size" difference between two lists of data
Conduct a randomness test on a sequence of random reals between 0 and 1 using run lengths of increasing subsequences
Perform bootstrapping of an estimator on some data
Use the arcsine law to assess the randomness of a sequence of zeros and ones
Compute the pooled variance of multiple lists of data
Conduct an empirically derived test that assesses randomness using the frequencies of serial combinations of 0s and 1s
Conduct a runs–based test on a sequence of zeros and ones
Conduct a runs up–based randomness test on a sequence of random reals between 0 and 1
Conduct a cumulative sum-based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves
Test a sequence of zeroes and ones (or a set of random reals between 0 and 1) for equidistribution and return a p-value
Use a discrete cosine transform–based method to test the randomness of a sequence of random reals
Compute the z-statistic for the Mann-Kendall test
Compute the pooled standard deviation of multiple lists of data
Calculate a chi-square statistic reflecting the homogeneity of a Markov chain's transition matrix over several time periods
Calculate the variance of a list along with its uncertainty
Smooth noisy data using local regression
Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector
Create a mesh representing a metric from a graphic
Create a webpage to track prices of publicly traded securities
Evaluate a finite orthogonal polynomial series
Compute the Dice dissimilarity of two multisets
Get the hyperplane that best fits a set of points
Display a given number of rows in Pascal's triangle
Visualize the autocorrelation of data
Linear model fitting discarding outliers
Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group
Get the proportion of times that each distinct element appears in a list when evaluated with a given function
Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot
Pass options down from one function into the next when the default option values are different
Given a 3D triangle, return an equivalent 2D triangle along with a transformation function
Get a number line diagram with information about where a function is positive, negative, zero or discontinuous
Evaluate the Stieltjes-Jacobi polynomial
Access hierarchical relation and associated gene product information for Gene Ontology concepts
Compute the Tsallis entropy
Generate the comrade matrix corresponding to an orthogonal polynomial series
Create a file filled with random bytes for testing
Truncate negative numbers in the result of subtraction
Create an association from a set of values, using a map-indexed function on those values to form the keys
Select all the elements from a list for which a given function returns the same answer twice or more
Solve an orthogonal polynomial Vandermonde linear system
Compute Moran's I spatial autocorrelation coefficient
Generate a fractional Brownian surface
Transform data such that its covariance matrix is the identity matrix
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
Neural network layer that implements the LogSumExp operation on any level
Create a lightweight, named column store of tabular data that is compatible with Query, Select and other SQL-like functions
Get the irreducible group representation of SU(2) for a given angular momentum
Compute the Jaccard dissimilarity of two multisets
Compute the Sokal-Sneath dissimilarity of two multisets
Classifies and plots any polynomial of degree two or less in two or fewer variables
Generate the graph associated with a parametric description of a manifold
Find row and column effects in a data matrix by repeatedly subtracting the median
Perform Bayesian linear regression with conjugate priors
Detect and localize objects in an image
Get a numerically sorted list of abscissa-weight pairs for generalized Gaussian quadrature
Colorize a grayscale image
Generate a portrait sketch from a photo
Track the pitch of a monophonic signal
Decompose a matrix into Independent Component Analysis matrix factors
Model ball trajectories in a 2D Galton board using Hertzian force laws between the ball and the pegs
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
The Second DIMACS Implementation Challenge: 1992-1993
Detect and localize objects in an image
Detect and localize objects in an image
Identify sounds in an audio signal
Detect and localize objects in an image
Return the list provided by the OEIS for a given OEIS sequence number
Identify the main object in an image
Identify the main object in an image
Perform classification or regression on numeric data
Generate a satellite photo from a street map
Generate a street map from a satellite photo
Turn a Monet-style painting into a photo
Turn a photo into a Van Gogh-style painting
Turn a photo into a Monet-style painting
Turn horses into zebras in a photo
Turn zebras into horses in a photo
Turn a wintertime photo into a summertime photo
Turn a summertime photo into a wintertime photo
Turn oranges into apples in a photo
Turn a photo into a Cezanne-style painting
Turn apples into oranges in a photo
Navigate a drone in a forest environment
Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement
Model reference robust adaptive control design for MIMO LTI systems
Continuous integration and deployment for Wolfram Language paclets
A few robust backstepping tools
Create notebook-based browsers for content
Nonlinear Cholesky Factorization for MIMO nonlinear systems
Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems
Compute common measures of ecological α-diversity on a dataset of species abundance by site
Retrieve datasets for statistical analysis and modeling
Create a random item of the specified type
Simplify launching of a new Python session
Import a file that contains HEALPix encoded data
Produce random causal graphs by sprinkling points into flat (Minkowski) spacetime
Produce random spatial graphs by sprinkling points into a flat (Euclidean) Riemannian manifold
Produce random spatial graphs by sprinkling points into a Riemannian manifold with an arbitrary extrinsic curvature
Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime
Evaluate the Khatri-Rao product of matrices
Smooth curve interpolation based on local procedures for a multiple-valued curve
Interpolation and smooth curve fitting based on local procedures
Create complementary spice blends interactively
Goddard Mars Model 3 map of the gravity field of Mars
Generate a Krawtchouk matrix
Query the autocompletion system
Generate interpolating nodes from points on a curve
Extract data from a plot image
A paclet for linear algebra
A new paclet for programming utilities
Create a block-diagonal matrix from submatrices
Produce plots of weather properties over a geographic region
Interpolate data with a cubic spline
Evaluate the piecewise spherical linear interpolant of given data
Interpolate data with a monotonic piecewise cubic Hermite interpolant
Create an interpolation augmented with first derivatives of circles through consecutive point triples
Interpolate data using Akima's method or modifications of it
Generate suggested text for autocompletion of a search query
Access sequences and metadata from The On-Line Encyclopedia of Integer Sequences
Train a predictor that predicts the median value of properties in a neighborhood of Boston
Train a classifier on the writings of Shakespeare, Oscar Wilde and Victor Hugo
Gather examples of Shakespearean poetry and prose to train a classifier
Add Matplotlib colormaps to ColorData
Create a grid graph in the shape of a Klein bottle
Plot a timeline of the steps in recipes
Atmospheric CO2 concentration from continuous air samples at Mauna Loa Observatory
Yearly (1700-2008) data on sunspots from the National Geophysical Data Center
Generate a nutrition report for a recipe or any list of ingredients
Locations of ponderosa pine trees without annotations
A curried form of Echo that can be useful in certain debugging situations
A version of BarChart that accommodates large outlier values
Find the Hausdorff distance between two sets of elements
Get access to the ColorBrewer's colors
Create a Wolfram Language representation of a Python object
Restructure an expression with nested AmbiguityList expressions into a single flat AmbiguityList
Create a placeholder image of a specified dimension
Create a graph representing the interactions among characters in a story
Interact with local AI/LLM models via an Ollama server
Show the fluctuations of residues in a biomolecule
Visualize and analyze biomolecular sequences including DNA and peptide sequences
Visualize the alcohol content of mixed drinks
Generate a cubic B-spline curve that passes through given points
Simulate the self-organizing system of the Persian Immortals as described by Herodotus
Limit the number of Echo outputs per evaluation
Create a NetGraph that returns the current NetEvalutionMode as 0 or 1
Find textual answers via an LLM
Generate Cartesian-like coordinates for a simple two-dimensional causal graph
Determine if resource objects are the same
Get all the non-local symbols that appear in an expression
Generate a list of related topics from a starting topic
Get a list of locally stored resource objects
Set permissions for a deployed QuestionObject
Decode HTML character entities in a string with their regular Unicode characters
Find alternative Boolean expressions using a given set of operators
Sample colors from named color schemes
Find the ordinary differential equation constraining periods of certain symmetrical curves
Generate Worley's cellular texture
Determine the correctness of an answer to a question
Use graph algorithms from the Python package NetworkX without any Python programming
Generate a random quiz question from the Wolfram Knowledgebase
Globally toggle echos on and off
Calculate shape distances between countries using canonical time warping
Use an LLM to assess the quality of another LLM's response for a given prompt
Calculate the fluctuations of residues in a biomolecule
Compute the immanant of a square matrix associated with an integer partition
Rewrite over-the-top text with less-exaggerated wording
Create a list of characters from a block of text
Rephrase text to be written at the specified grade level
Gives antonyms for words and words with an opposite meaning
Rephrase text in an informal way
Suggest a name from a genre or work of fiction
Punch up a block of text with exciting, over-the-top wording
Generate a glossary for a given piece of text
Create songs with given topics or texts based on a particular style
Generate a website domain name based on a description
Suggest a title for a given text
List movies matching a description
Rewrite a block of prose as a screenplay or stage play
Generate narrative text from a formatted screenplay or stage play
Rewrite a resume as narrative text
Rewrite narrative text as a resume
Question and answer generation on any topic
Translate everyday language into medical jargon
Rewrite text removing legal jargon
Review text for sensitive content
Rewrite text in the style of a LinkedIn post
Create a motto for a company, product, campaign, or group
Rewrite text with a specific mood
Translate scientific jargon to plain language
Rewrite text into the present tense
Rewrite text using legal jargon
Create a joke about based on a list of subjects
Find the connection between two people
Summarize text as a haiku
Create a one-shot scenario for an RPG
Convert text into an abstract
Make prompts more easily read by LLMs
Generate a list of grammatical errors in a given text
Rewrite text to sound like an online ad
Use Fixed That For You to quickly correct spelling and grammar mistakes
Create a concise statement that presents a moral or philosophical idea based on the provided text
Find the tenses of verbs and verb phrases in a given text
Create quiz questions based on a given text or topic
Replace personally identifiable information in text with placeholders
Convert text to a form suitable for a slide deck
Generate an SEO Meta description from text or URL
Generate index terms based on the text provided
Add disclaimer language to text
Rewrite text to post on twitter
Remove ums, uhs, and other filler words to make sentences flow better
Translate text into an emoji representation
Playlist generation for any mood
Finds the etymology of a given word
Analyze the sentiment across a text
Let the LLM decide what to write in order to express its creative side
Write an easy filename to use
Generate a catchy CTA to grab the attention of your audience
Generate various tag lines given a piece of text
Suggest a Library of Congress topic classification for the subject matter of a piece of text
Suggest links that could be added to a piece of text
Rephrase text in the voice of a historical era
Suggest a name for a possible concept
Translate provided text into a specified language
Estimate the grade level difficulty of a piece of text
Describe a fake animal, get a fake species name
Import code from other languages to Wolfram Language
Suggest a headline for a text
Convert text describing a differential equation to a DSolve expression
Tabulates in JSON themes found in text
Summarize the contents of a file or URL
Create a set of standardized test questions on vocabulary for a given test
Rephrase text with shorter sentences
Rephrase the text in a shorter way
Create a recipe while controlling ingredients and more
Convert text into meme-worthy material
Rephrase text in a formal way
Rewrite text in the style of a Facebook post
Replace key words in text with emojis
Remove duplicate words and phrases
Rewrite text as a clickbait style headline
Rephrase text from passive into active voice
Construct a sentence from a list of words
Convert text into a pitch
Rewrite text in the style of an Instagram post
Generate an invitation to an event from a description
Summarize text as a limerick
Detect the "slant" of a block of text
Convert text into phonetic form based on the International Phonetic Alphabet
Rewrite text to remove business jargon
Edit text for grammar, spelling, punctuation and clarity
Rewrite by removing Marketing Jargon
Translate medical jargon into non-technical terms
Suggest a alternative name for a variable in a given block of code
Rewrite text into a third-person point of view
Rewrite text in market-speak
Rephrase the text in a longer way
Rephrase text from active into passive voice
Rephrase provided text to be more casual
Reformat code so that is more human readable
Put grammatical errors into a piece of text
Get a mock grade for submitted essay
Generates a pun given a subject matter
Find the most searched SEO keywords within any given text
Find a list of countries known for a certain export
Create a cover letter from job description text
Add scientific jargon to plain text
Represent a cuboid with rounded edges
Create a "color map" image from a video
Generate a truth table for a Boolean expression
Calculate the log of an elementary symmetric polynomial
Model thermostat-controlled heat generation in a room with three insulated walls and a glass front
Get a numerically sorted list of abscissa-weight pairs for Fejér quadrature
Compute the control points of a Bézier curve that interpolates a given set of points
Interactively explore execution traces
Perform interpolation in n-dimensional space for irregularly spaced data
Generate the zero-order discrete prolate spheroidal sequence window
Approximate the surface area of a molecule
Turn a sequence of expressions into a symbolic product
Turn a sequence of expressions into a symbolic sum
Represent a 3D annulus with rounded edges
Access built-in data from the NIST Atomic Spectra Database for each element
Transform a food entity to its common name
Automatically attempt to find a Python executable on the current machine
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Locations of osteocyte (a star-shaped type of a mature bone cell) lacunae (pit) observed in a rectangular volume of solid bone
Find the city in the European Union with the closest temperatures to Chicago
Get a numerically sorted list of abscissa-weight pairs for Clenshaw-Curtis quadrature
Generate the foliation set from a causal graph
Character perspective oriented response
Generate a tree or an association with properties for non-equivalent compact binary Huffman codes
Print the timing and memory used to evaluate an expression
Compute the strength of a voter by reference to the frequency with which their vote could change the outcome of an election
Evaluate an alternating sum using the Cohen-Rodriguez Villegas-Zagier method
Get a numerically sorted list of abscissa-weight pairs for various modifications of Gaussian quadrature
Use surgery functionality to train a net from the Wolfram Neural Net Repository
Compute the sample entropy of a time series
Simulate a forest fire as a probabilistic cellular automaton
Compute the Poincaré polynomial for a simplicial complex
Print an expression and get the corresponding CellObject
Get a physicist's constructive proof of Fuchs's theorem on hyperelliptic curves
Check if an object exists
Wood-Berry model of a distillation column
Model of a Resistor-Inductor-Capacitor (RLC) series circuit
A model of a two-stage chemical reactor with delayed recycle
A large-scale dataset of 44k natural language processing problems, inspired by the original Winograd Schema Challenge design
Model of a webserver's CPU and memory loads
A model of a Polymethyl methacrylate (PMMA) synthesis reactor
Model of a lead-lag controller op-amp circuit
Model of a simple pendulum
Model of a fed-batch reactor
Model of two pendulums coupled by a spring
Model of a lead or lag controller op-amp circuit
Model of a Proportional (P) controller op-amp circuit
Model of a Proportional-Derivative (PD) controller op-amp circuit
Model of an Integral (I) controller op-amp circuit
Model of a hovering Harrier VTOL jet
Model of a torque-driven flexible joint
Model of an elastic pendulum
Model of a double pendulum
Two-compartment model of alcohol concentration in the body
Model of a satellite's attitude dynamics
Model of a ball and beam system
An inverted pendulum model of a Segway personal transport
A model of an inverted pendulum on a cart
A model of a permanent magnet synchronous motor (PMSM)
Model of a quadcopter drone
Model of a Proportional-Integral-Derivative (PID) controller op-amp circuit
Model of the blood glucose level in the human body
A model of a helicopter with two degrees of freedom (2 DOF)
A model of an HIV infection
A model of a two-link robot
A model of the fluid slosh dynamics in a spacecraft
Model of a rotary pendulum
Model of a lathe cutting process
Model of the longitudinal dynamics of a Boeing 747
Model of a satellite's motion in a halo orbit
Model of a satellite's roll and yaw dynamics
Model of a quarter-car suspension
Model of a mass-spring-damper system
Model of the longitudinal dynamics of a submarine
Model of a yeast fermentation process
Model of the lateral dynamics of a Boeing 747
Model of a vibration absorber
Two-compartment model of a pharmacokinetic process
Model of a helicopter's pitch dynamics
Model of a satellite's orbital dynamics
Model of a Wilberforce pendulum