Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Search Results
705 items
Give the formatted form of a signature specification for a Wolfram model rule or state
Retrieve information on a Wolfram model from the Registry of Notable Universes
Generate a random canonical Wolfram model rule with a particular signature
Retrieve information about Wolfram Challenges
Represent a Wolfram model in x, y, … letter form
Display a Wolfram model description in an analog of traditional mathematical notation
Enumerate canonical Wolfram model rules with a particular signature
Attempt to find a canonical representation for a Wolfram model
Determine whether a Wolfram model rule is left-connected
Generate evolutions of Wolfram model systems
Enumerate all the neighborhoods of a hypergraph up to a given distance
Find the volumes of successively larger neighborhoods around nodes in a hypergraph
Run the standard Wolfram Language benchmark
Enumerate possible rule signatures for substitution systems, Wolfram models, etc
Represent the result of evolution of a Wolfram model
Generate a random string substitution rule
Iteratively apply a transducer finite automaton
Generate a visual display of a hypergraph
Simulate the Ising model using a cellular automata
Decode data specified by a Huffman encoding
Find the adjacency matrix for vertices in a hypergraph
Determine whether a hypergraph is connected
Compute MeanAround for corresponding elements in a collection of lists of potentially different lengths
Generate the rule icon for a tag system
Plot a time series that includes shading to indicate ranges in the plotted value
Find optimal Huffman code words given a list of probabilities
Generate the rule icon for a sequential substitution system
Generate a random hypergraph
Give graphics to indicate the state of a finite-state system such as the head of a Turing machine
Apply a Boolean function to corresponding bits in integers
Test whether a string or strings have overlaps
Convert a hypergraph to a graph with the same distance matrix
Find a Huffman encoding from a list
Find all overlap-free strings of a specified length
Generate the rule icon for a mobile automaton
Compute the evolution of a sequential substitution system
Find instances of a binary operator that satisfy equational constraints
Plot an array of values, with dots at specified positions
Find the positions of the largest elements so far in a list
Visualization of the evolution of a sequential substitution system
Compute the evolution of a mobile automaton
Compute the evolution of a cyclic tag system
Cellular automaton evolution with the order of each cell update specified
Find substrings that overlap between strings
Visualization of the evolution of a mobile automaton
Find logarithmic differences of elements in a list
Create a grid graph of any dimension with the topology of a torus
Compute the evolution of a tag system
Self-delimiting number representation
Plot a hypergraph defined by a list of hyperedges
Generate a graph giving the relations between regions of causally equivalent events in a causal graph
Try to find a proof of equivalence between hypergraphs in a given multiway Wolfram model system
Look up styles used in the Wolfram Physics Project
Create an automatic report from a given text query
Create a mesh representing a metric from a graphic
Render a graph with vertices at heights based on their distance from the root
Find a pair of vertices that are a maximum distance apart on a graph
Create a generalized Cayley graph from generators and relations
Enumerate possible ordered hypergraphs with a given signature
Embed a hypergraph into a surface
Compute the evolution of a generational multiway system and many associated properties
Visualize the evolution of a one-dimensional neighbor-independent substitution system
Generate a layered 3D plot of a graph
Enumerate possible inequivalent string substitution rules with a given signature
Compute the evolution of a multiway system based on function evaluation over the integers
Enumerate the graph minors of a graph
Convert an axiom system from modus ponens to equational form
Compute the evolution of a substitution system where replacements are specified by a priority list
Plot the evolution of a multiway system
Plot the values of a function at the vertices of a graph
Generate a list of all tuples of characters from a string
Get the translated name of a Wolfram Language symbol in a given language
Start a new Wolfram Language session
Fibonacci-digit encoding for a number
Interactively select elements of a one-dimensional list
Add a menu item in a Wolfram desktop system
Retrieve a list of submissions to the Wolfram Resource System
Find the distinct heads that occur in an expression and their corresponding arities
Compute the evolution of a multiway system and many associated properties
Search the Wolfram Resource System for specified resource functions
List all of the Wolfram Function Repository resources in a category
Find the volumes of successively larger neighborhoods around nodes in a graph
Sort expressions by depth and leaf count
Convert numbers specifying a Turing machine into an explicit list of rules
Compress the contents of a cloud object that contains a Wolfram Language expression
Open a computational essay template with tools for streamlined essay writing and publishing
Convert Wolfram Language data into Markdown-friendly table strings
Set an evaluation to run when the Wolfram Language kernel session is terminated
Simulate a nondeterministic Turing machine evolution as a multiway system
Access the Spotlight feature in macOS from within the Wolfram Language
Determine if two Wolfram Language expressions come from the same instance
Choose positions of an expression by certain traversal-ordering criteria
Evaluate the Church combinator
Generate a list of all combinators with n symbols
Get an association of match positions to rule matches, sorted according to traversal scheme, for a combinator expression
Convert numbers specifying a cellular automaton into an explicit list of rules
Evolve a block cellular automaton
Convert an explicit list of rules specifying a cellular automaton into the corresponding rule number
Encode an SK combinator expression into a list of 0s and 1s
Visualize a single combinator expression
Show an expression graph for a combinator expression
Visualize matched brackets of a combinator
Display a table of all horizontal or vertical spanning characters used by the current Wolfram Notebook front end
Access functions deployed to your own or another user’s Wolfram Cloud account that are not in the official Function Repository
Provide Wolfram Language–based access to the pi-top Maker Architecture available for the pi-top [4]
Evolve a combinator expression to its fixed point based on defined rules and evaluation scheme
Represent an expression in terms of the S and K combinators
Perform an update to a combinator expression based on defined rules and traversal scheme
Evolve a combinator expression for a certain number of steps based on defined rules and an evaluation scheme
Show the evolution of a combinator expression to its fixed point based on defined rules and evaluation scheme
Show evolution of a combinator expression for a certain number of steps based on defined rules and an evaluation scheme
Finds finite models consistent with the set of relations
Try to find a counterexample to an equational hypothesis in a given system of axioms
Produce random spatial graphs by sprinkling points into a Riemannian manifold with a specified intrinsic algebraic curvature function
Simulate an arbitrary (potentially commutative) monoid as a multiway system
Produce random spatial graphs by sprinkling points into a flat (Euclidean) Riemannian manifold
Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function
Simulate an arbitrary (potentially abelian) group as a multiway system
Visualize the evolution of a combinator expression
Try to find a proof of equivalence between lists in a given multiway system
Simulate a quantum evolution as a multiway system
Produce random causal graphs by sprinkling points into flat (Minkowski) spacetime
Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime
Simulate an arbitrary (potentially commutative) semigroup as a multiway system
Attempt to find a proof of a theorem in combinatory logic using a given combinatory calculus
Try to find a proof of equivalence between strings in a given multiway system
Produce random spatial graphs by sprinkling points into a Riemannian manifold with an arbitrary extrinsic curvature
Simulate the evaluation of a formal operator expression as a multiway system
Catches any Failure object thrown by an enclosed ThrowFailure evaluation
Determine how symbols in a first context depend on symbols in a second context
Find a numerical approximation for a trigonometric Fourier series expansion of a function
Generate a cellular automaton evolution with initial conditions chosen by a click
Check if a number falls into the range of machine-sized integers for your computer
Represent the Wishart distribution
Simplify Bessel functions in expression
Find the scalar mean of the Euclidean distances between the multivariate data points and their mean
Apply replacement rules to evaluated parts of expression
Take values larger than a threshold in a list or association
Partition an association into a list of associations
Get the pairs of primes that differ by 2
Estimate the confidence interval of the ratio of the population variances
Find the limiting value of an expression numerically
Certify a number as provably prime
Give all possible ways to partition a set into a given number of subsets, ignoring order of blocks and within blocks
Display the information about your Python package installer
Get the pairs of primes that differ by 6
Find a rational interpolation of a function
Get the inversion vector of a permutation written as a list
Check if a list is the inversion vector of a permutation written as a list
Test whether the permutation list is completely scrambled
Get a list of the number of Butcher trees through a given order
Create a slide show prompter from a notebook
Uninstall a Python package
Find a numerical approximation for a Fourier transform
Find a numerical approximation for an inverse Fourier cosine transform
Simplify polylogarithms in an expression
Find the date of Easter Sunday for a given year
Find a numerical approximation of a series expansion of a function
Take elements after a specified element in an expression
Give all possible ways to partition a set into blocks, ignoring the order of blocks and order within blocks
Determine how many shuffles restore the list of specified size to its original order
Find the date of Easter Sunday according to the Greek Orthodox Church
Throw a Failure object to the nearest enclosing CatchFailure
Get the Euler–Lagrange differential equations derived from a given functional
Get the simplex median of the elements of a matrix
Obtain the domain of an interpolating function object
Get the total variation of a matrix
Find the position of a target value within an array sorted after applying a function
Represent the distribution of a quadratic form with a multivariate normal
Find a function with a given Fourier exponential series
Generate a causal graph of the Turing machine evolution
Find a numerical approximation for an inverse Fourier sine transform
Check whether the argument is a weakly decreasing list of positive integers
Estimate the confidence interval based on an F-ratio distribution
Compute a matrix of well depth values representing a quadratic-residue diffuser
Find the median Euclidean distance from the median of the elements of multivariate data
Find the Gray code for an integer
Find ellipsoidal location statistics
Give the row-simplifying conditions for Runge–Kutta methods
Get a list of powers of the golden ratio which sum to a given integer
Compute the weight of a Butcher tree
Import OSM (OpenStreetMap) data from XML files or the OSM API
Find a numerical approximation for a Fourier exponential series coefficient of a function
Give the quadrature conditions for Runge–Kutta methods
Find an economized rational approximation to a function
Find the kurtosis coefficient for multivariate data
Simplify gamma functions in expression
Reflect a set of points using a line or plane defined by two or three points
Estimate the confidence interval based on a normal distribution
Test if a certificate can be used for ascertaining the primality or compositeness of a number
Construct a scatter plot matrix
Determine if a Butcher tree is in valid functional syntax
Estimate the confidence interval based on a Chi-squared distribution
Get the value of the Plouffe P function
Find a mini-max approximation of a function defined parametrically
Find a numerical approximation to the Fourier sequence transform
Syntax-highlight a code string
Print the timing and memory used to evaluate an expression
Take values smaller than a threshold in a list or association
Find a numerical approximation for an exponential Fourier series expansion of a function
Given edgelengths of a tetrahedron, return the dihedral angles opposite those edges
Remove a menu item added with AddMenuItem
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
Find a numerical approximation for the inverse Fourier transform
Flatten keys in a nested association
Give all the ways the numbers 1, 2, …, n can be scrambled completely
Truncate negative numbers in the result of subtraction
Explore history of changes in the currently open notebooks
Get the pairs of primes that differ by 4
Attempt to express weighted sums of sines and cosines having the same period in terms of cosines alone
List equations for Runge–Kutta methods
Plot order condition trees for Runge–Kutta method
Outline polygons by beam-like representation
Perform an analysis of variance
Give all possible ways to form proper brackets
Starting with the third term, give the least integer expressible uniquely as the sum of two distinct earlier terms
Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods
Simplify zeta functions in expressions
Find the values of parameters of a trial function that extremize a functional
Construct the permutation list corresponding to the given inversion vector
Split a list into two sublists gathering every other element of the list
Find a rational interpolation of a function defined parametrically
Give the 0–1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the non-negative integer input
Get the variational derivative of a functional
Simplify polygamma functions in an expression
Create a rotatable arrow handle
Take elements before the specified element in an expression
Collect histogram data in an association of bin intervals and bin heights
Generate the zero-free compositions of a positive integer
Estimate the confidence interval based on Student t distribution
Extract data from an InterpolatingFunction object
Test whether a permutation equals its inverse
Plot a spirograph
Give the indices of a permutation where there is an immediate ascent
Set up custom cell labels for a formatting function
Retrieve information about selected cells in notebook
Display the Python version installed on your machine
Find a numerical approximation for a Fourier sine transform
Find the date of the Jewish New Year
Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings
Give the greatest gap between the primes up to the argument
Switch the rows and columns of a partition
A graph representing cycles and fixed points of a permutation
Generate a graph corresponding to a hexagonal grid
Search numerically for the values of parameters of a trial function that extremize a functional
Find the mean of multivariate data after removing outermost points
Get the total degree of a polynomial in any number of variables
Find the ellipsoidal loci of the quartiles of matrix
Construct a stem-and-leaf diagram
Find the determinant of the covariance matrix
Display information for a Python package
Give the elements that appear more than once in the input list
Find the position of a target value within a sorted array
Find a numerical approximation for a Fourier sine coefficient of a function
Given edge lengths of a triangle, return the angles opposite those edges
Plot an array of digits, allowing them to be ragged on the left
Determine whether an expression represents a rational function of a given set of variables
Find a numerical approximation of a residue of an expression around the specified point
Get the butcher trees through a given order that are not reduced by Butcher’s quadrature or row- or column-simplifying conditions
Get the number of permutations with a given number of ascents
Find a permutation that minimizes a matrix sum
Visualize data as a flame chart
Find a numerical approximation for a Fourier cosine coefficient of a function
Crop uniform values from the edges of an array
Find the cumulative probability within the specified elliptic domain
Find a mini-max approximation of a function
Find explicit sets of rules for computational systems
Get a list of the trees for any Runge-Kutta method of a given order
Install a Python package
Checks hyperlinks in an expression, webpage, or notebook, on your computer or in the cloud
List Python packages available on your machine
Make a hole in the middle of a polygon
Find the probability of the absolute value of the test statistic being at least as extreme as the given value
Send mail messages defined by sections in a notebook
Represent a quaternion object
Find a numerical approximation to the inverse Fourier sequence transform of a periodic function
Plot a 3D relief representing a quadratic-residue diffuser
Collect history of changes in the currently open notebooks
Find a numerical approximation for a Fourier cosine transform
Give the column-simplifying conditions for Runge–Kutta methods
Estimate the confidence interval of the difference between the population means
Test if a file is in the specified format
Get a cofactor of a matrix
Display the Ferrers diagram of a partition with dots
Interactively select atom indices from a 3D molecule plot
Find the element for a given atomic number.
Remove enclosed arguments
Obtain the International Union of Pure and Applied Chemistry (IUPAC) temporary designators for new elements
Convert a chemical name into a SMILES identifier string
Determine the number of significant digits in a number
Find the atomic number for a given element
Look up a set of keys in order to get deeper parts of an association or list of rules
Get an inactive expression representing an integration by parts
Compute the prime factorization of an integer and return it in an inactivated form
Find the nth Fermat number that is also a prime number
Check if a symbol has definitions associated with it
Serialize an expression along with any dependent definitions
A data structure meant for accumulating items efficiently
Evaluate an expression when a package is first loaded
Recursively replace lists of rules with associations
Save a notebook to a file that is formatted to maximize readability when viewing changes in version control systems
Compute the Galois group for a polynomial
Compute the discontinuities of a function of a single variable
Simplify a list as if it were a ratio
The logit function from probability
Return a list of strings for all symbols in the given context that have values associated with them
Distribute resource function definitions to parallel kernels
Generate a TestReportObject with dynamic progress
Determine whether an expression is an even function of the given variable or variables
Equivalent to Reap, but returns an association with tags as keys
Create a stereoscopic image with a 3D effect
Get an association of the properties of a given hyperbola
Close cell groups in a notebook by style
Increase a bounding box by a fractional amount
Compute the angle between the hands of a clock
Compute the inverse tangent of a number and return a result in degrees
Get a list of symbols that an expression depends on
Compute the digit in a given place of the positional representation of a number
Plots ordered trivalent graphs
Compute the sine of an angle given in degrees
Create a suitable KeyValuePattern from an example association
Create a system tray icon that can be used to issue system notifications
Find the nth Mersenne prime
Implement the Ramanujan mock theta functions
Verify that an evaluation output matches a given pattern and produces no errors
Compute the population variance for a set of data
Create a file path relative to a given directory
Check if two lists are equal as ratios
Construct a function from another function that holds certain arguments
Find the number of intersections of the diagonals of a regular polygon
Compute the Hessian matrix of a function with respect to a list of variables
Test if a string is composed of katakana characters
Check whether an input is a deficient number
Automatically attempt to find a Python executable on the current machine
Get a browsable, hyperlinked definition of a symbol
Store full definitions for a symbol in a compact object
Convert a byte count to a quantity of bytes in an appropriate unit
Create a graph of symbol dependencies
Generate suggested text for autocompletion of a search query
Get a string character from its name
Find the longest common contiguous prefix of a set of strings or lists
Get the proportion of times that each distinct element appears in a list when evaluated with a given function
Send relevant data to a channel object when a message occurs
Create a structured notebook containing data from an association
Check if a process, session or task is currently active
An array of nibbles (four-bit values)
View the definitions of a resource function along with its dependencies
Find the topological boundary of a simplex or simplicial complex
Get a list of the symbols used in the definition of a resource function
Get an association of the properties of a given circle
Initialize a value unless it already satisfies a given condition
Determine whether an expression represents a quadratic function of a given set of variables
Compute the tangent of an angle given in degrees
Compute the population standard deviation for a set of data
Automatically format a string into boxes for documentation purposes
Similar to MapAt but with improved behavior for nested expressions involving associations
Get a complex number in polar form or polar exponential form
Find the inflection points of a function of one variable
Dynamically display chess games from a Portable Game Notation (PGN) string or file
Compute the geometric supplement to a given angle
Generate a representation of causal structure in substitution system evolution
Create an event handler that evaluates an expression when a package is loaded
Turn a sequence of expressions into a symbolic product
Compute properties of the column space of a matrix
Visualize the contents of binary data
Display an expression in a format intended to maximize readability
Return a list of positive integers coprime to a given integer
Delete adjacent duplicates from a list
Compute the geometric complement to a given angle
Determine if a given number is an integer complex root of another number
Compute the inverse secant of a number and return a result in degrees
Compute properties of the row space of a matrix
Use functions meant for lists on strings
Find the critical points of a univariate function
Compute the inverse cotangent of a number and return a result in degrees
Equivalent to Union but redefines the first argument to the result
Get positions of all boxes in a notebook
Decompose a vector into a linear combination of a set of vectors
Get a dynamic plot of a univariate function along with supplemental information, known in the German language as a Kurvendiskussion
Determine whether an expression represents a linear function of a given set of variables
Highlight the changes between two expressions
Compute the local extrema of an expression with respect to the given variables
Construct an association without evaluating any of the keys or values
Compute the derivative y’ as a function of x from an implicit equation in those variables
An operator form of SameQ
Create the parent directories necessary to fill out a given file path
Determine the iterated logarithm of an input
Find the prime integer closest to a number
Determine whether a list of side lengths can form a right triangle
Temporarily change the current directory for an evaluation and ensure that it is restored when evaluation is completed
Similar to ArrayQ, except it allows for ragged collections of nested lists
Get the proportion of times that each distinct element appears in a list
Apply Floyd–Steinberg dithering to an image
Compute the geometric supplement to a given angle using degrees
Pick named elements of a pattern
Separate a piece of Japanese text into grammatical parts
Make an expression that is copied to the clipboard when clicked
Move the mouse cursor to a specified location
Equivalent to using Once, but will only cache results if evaluation was successful
Get a full timing report for functions evaluated during an evaluation
Find a rational number equivalent to a real number with repeating digits
Convert a string into boxes as if it were typed into a notebook
Get information about a real-valued univariate function
Check if a function is monotonic
Compute the nullity of a matrix
Test if a string is composed of hiragana characters
Get all the non-local symbols that appear in an expression
Reset the value of Directory[] and DirectoryStack[]
Compute the probabilities and statistics associated with tossing a coin
Check whether a number is a superperfect number
Compute the inverse complementary error function
Find the number of diagonals of a regular polygon
Transform an expression by replacing all symbols in one context with symbols of the same name in another context
Split a string after each substring matching a string pattern
Generate a plot in which the plot ranges and function parameters can be manipulated dynamically
Display information related to fitting of a set of data
Add a toolbar for formatting function documentation to a notebook
Get the measure of a simplex or simplicial complex
Display a given number of rows in Pascal's triangle
Run a command on the current system shell
Copy the definitions of one symbol to another
Determine whether an expression is an odd function of the given variable or variables
Generate an interactive tool for visualizing various compartment based epidemiological models
Get the standard simplex for a specified dimension
Determine the parity of a function, even or odd, with respect to one or more variables
Generate an HTTP response that prompts the browser to download as a given file name
Compute the nth abundant number
Have Wolfie say an expression
Prepend a string to another string
Get a variable range against which to plot a given function
Determine the length of a shoe given its size within any of a variety of sizing systems
Replace parts of an expression using replacement rules and a part specification
Find the common divisors of two or more integers
Highlight parts of text according to a given pattern
Compute the integral describing the area between two plane curves
Compute the defining properties of the osculating circle for a curve at a point
Generate color functions using the "cubehelix" method
Check if a function is strictly monotonic
Generate an inactive integral or sum of integrals used for computing the arc length of an expression with given bounds
Evaluate an expression when a package finishes loading
Check whether an input is an abundant number
Choose random parts of an expression
Generate a causal graph from a substitution system using standard updating order
Create a button that is automatically disabled when clicked and enabled when it finishes running its code
Determine whether a function is continuous
Get an association of the properties of the given parabola
Test if an expression corresponds to a valid symbol name
Compute the Jacobian matrix of a vector function with respect to a list of variables
Get the binary iterated logarithm of a positive number
Determine whether a set of vectors is linearly independent
Compute the local minima of an expression with respect to the given variables
Equivalent to Print, except returns a CellObject corresponding to the printed notebook cell
Test if a string is composed of kanji characters
Return a fully qualified name of a symbol regardless of current context settings
Compute the stationary points of a function of one or more variables
Append a string to another string
Create a graph of a regular hyperbolic tiling
Compute properties of the tangent line to a curve at a given point
Get an association containing various session-related information
Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula
Use as an operator form of Set
Plot a given number of periods of a periodic function
Get the orientation of a simplex
Compute the intercepts of a function with the coordinate axes
Import a PGN file or string as an association of structured chess data
Generate boxes corresponding to the printed form of an expression that are compressed where possible
Check if expressions have the same shape
Print a labeled message from ResourceFunction with contexts hidden
Recursively take the head of an expression
Append multiple items to an expression at once
Provide a new context that contains no symbols
Turn a sequence of expressions into a symbolic sum
Compute the local maxima of an expression with respect to the given variables
Find the points of intersection of two curves
Determine whether a set of points lie on a line
Compute the geometric complement to a given angle using degrees
Get part of an expression or return a default value if it doesn’t exist
Format a symbol as a ResourceFunction in outputs
Compress an expression, along with any needed definitions, so that it can be used in another session
Import an SVG file as a graphics object
Determine whether a set of points lies in a plane
Similar to ReplaceAll, but parts of the expression can be ignored by providing a pattern
Have a bird say an expression
Get an association of information related to fitting a set of data
Algebraically rewrite an expression by completing the square
Use Get without modifying the $ContextPath
Compute the regions on which an expression is monotonic
Echo a label and make any echoes that occur within a body indented
Check whether a number is transcendental
Close all other open notebooks
Compute the nth deficient number
Display an interactive plot with all relevant information for a given conic section
Asynchronously download a file while dynamically showing the progress of the download
Find the area between two plane curves
Create an association indexed by a given key from a list of associations
Dynamically simulate tossing a coin
Compute the cotangent of an angle given in degrees
Compute the Poincaré polynomial for a simplicial complex
Compute the inverse cosecant of a number and return a result in degrees
Get the diagonalized matrix of a given matrix
Print the timing for an evaluation and return the result
Split a list into sublists that match the same pattern from an ordered list of patterns
Inverse of the Boole function
Compute the inverse cosine of a number and return a result in degrees
Map a function over a list and join the result
Create a dynamic menu that allows users to jump to specific sections in a notebook
Compute the regions on which an expression is concave up or down
Find the number of regions partitioned by the diagonals of a regular polygon
Compute the cosecant of an angle given in degrees
Compute the Hessian determinant of a function with respect to a list of variables
Import an avatar image from the Gravatar service
Decorate an expression with a speech bubble frame
Temporarily set $Context and $ContextPath to a unique empty context for an evaluation
Computes the secant of an angle given in degrees
Find the common multiples of two or more integers
Find the largest prime factor of a given integer
Find the tangent plane of a function at a point
Similar to Block, except values of local symbols are not cleared when entering the block
Give the matrix of cofactors for a given input matrix
Get information from the current Windows system about running processes, hardware, security settings and more
Find the corners of a curve
Create a string of the FullForm of an expression with fully qualified symbol names
Open cell groups in a notebook by style
Synchronously evaluate an expression in a separate kernel
Compute the Jacobian determinant of a vector function with respect to a list of variables
Trace an evaluation with an interface that allows interactive debugging
Abort an evaluation as soon as a message is generated
Find definitions for symbols in a context using a pattern, getting highlighted occurrences of it
Compute a right-associated fold returning the list of intermediate results
A partial inverse for Thread
Modify definitions of protected symbols and ensure that their attributes are restored
Show kana with a piece of Japanese text that indicates the pronunciation of kanji
A function like Select that returns positions instead of values
Equivalent to Needs, but does not modify the $ContextPath
Split a string before each substring matching a string pattern
Compute the global minima of an expression with respect to the given variables
Compute a right-associated fold
Compile a color function for improved performance in colorizing images
Equivalent to Join, but redefines the first argument to the result
Generate a multiplication table for a range of integers, optionally using modular arithmetic
Get a dynamic plot of a univariate function along with supplemental algebraic and calculus-based properties of the function
Stop an evaluation when a message is encountered and return a given failure expression
Find the appropriate shoe size in a given system for a wearer given a last/foot length
Compute the quadratic residues of an integer
Convert a color to a hex string
Get an association of the properties of a given ellipse
Compute the global maxima of an expression with respect to the given variables
Sort a list of patterns according to their precedence
Compute the asymptotes to a given curve in two dimensions
Find the sum of digits in the positional representation of an integer
Compare two version numbers to determine their order
Find the cusps of a curve
Find the nth twin prime
Convert a number representing seconds to a quantity of time in an appropriate unit
Deflatten the keys in a flat association to create a nested association
Compute the inverse sine of a number and return a result in degrees
Compute the Betti numbers for a simplicial complex
Map a function at parts of an expression that match a given pattern
Create a grid graph in the shape of a Klein bottle
Plot two curves and highlight their points of intersection
Swap values of symbols using a temporary variable
Efficiently select from a list of front end objects
CloudPut to a location determined by the hash of an expression
Propagate a Throw upward to the outermost NestedCatch
Replace keys in an association
A curried form of Echo that can be useful in certain debugging situations
Generate a plot illustrating causal features of substitution system evolution
Determine if an expression is a valid front end object
Determine the injectivity and surjectivity of a function
Get the set of primitive nth roots of unity
Compute the reference angle to a given input angle
Draw a sketch
Set the auto-style options for a given context
Create an animation from a list of expressions
Insert the values of symbols into an expression before evaluation
Test if a message is issued during an evaluation
Compute the reference angle to a given input angle using degrees
Compute the global extrema of an expression with respect to the given variables
Get the contents of the clipboard as an expression
Determine the support for a multiset
Perform the union operation on multisets
Compute the Sokal–Sneath dissimilarity of two multisets
Import a string in Newick format
Smooth curve interpolation based on local procedures for a multiple-valued curve (x(u), y(u))
Perform the complement operation on multisets
Get the full list of complex nth roots of a number
Test whether or not one multiset is included in another multiset
Interpolation and smooth curve fitting based on local procedures
Render a Newick tree as a dendrogram
Compute the Dice dissimilarity of two multisets
Compute the Jaccard dissimilarity of two multisets
Perform the sum operation on multisets
Perform the product operation on multisets
Get a tetartoid given three values
Determine the cardinality for a multiset
Perform the intersection operation on multisets
Compute the directional derivative of a function
Compute the parametrization of a canal surface
Compute the stereographic projection from the unit sphere to a plane
Compute the tangential angle of a curve
Compute a translation surface parametrization
Compute the parallel surface of a surface
Generate a surface twisting a curve
Compute the parametrization of a tube of variable section
Compute a pedal surface
Compute the shape operator on a surface
Find continuous ranges in a list of integers
Get curves defined over a sphere
Compute parallel (offset) curves
Compute the tangent vector of a curve
Compute the Pfaffian of an antisymmetric (skew-symmetric) matrix
Compute the perpendicular surface of a curve
Compute the binormal vector of a curve
Convert a 3D curve into a parametrized tube
Get an approximation to a parametric curve
Compute expressions for Dupin cyclide surfaces
Compute the turning number of a curve
Compute the focal set of a surface
Compute the geodesics for a parametrized surface
Compute the curvature of a curve
Compute the inversion surface
Compute a rolling curve
Compute the Weingarten matrix of a surface
Compute the total signed curvature of a curve
Compute the inversion of a curve
Compute the Ricci scalar for a metric
Compute the parametrization of a curve projected onto the unit sphere
Compute the generalized helicoid of a curve
Compute the implicit curvature of a curve
Compute the Cesàro equation for a planar curve
Compute the normal curvature of a curve on a surface
Compute the tangent plane of a parametric surface
Tridiagonalize an antisymmetric (skew-symmetric) matrix using the Parlett–Reid algorithm
Compute the normal vector of a curve
Compute the moving orthonormal frame of a surface
Compute the asymptotic curves of a parameterized surface
Compute the Darboux vector field of a curve
Compute the skew-tridiagonal decomposition of an antisymmetric matrix
Compute the coefficients of the first fundamental form of a surface
Compute the components of the Ricci curvature for a metric
Compute the components of the Riemann tensor for a metric
Plot the Frenet–Serret frame of a curve
Compute the torsion of a curve
Compute the relative probability of finding a particle at a given distance from another particle
Compute the area element for a surface
Compute the gyration tensor and derived metrics quantifying the shape of particle distributions
Symmetric tridiagonal matrix for Gaussian quadrature
Compute the natural equations of a curve
Compute the Enneper-Weierstrass parametrization
Compute the negative pedal curve
Get a numerically sorted list of abscissa-weight pairs for Gaussian quadrature
Find the error in the Gaussian quadrature approximation of a function’s integral
Generate Worley's cellular texture
Get the polynomial with coefficients giving the number of nonisomorphic graphs for a given number of vertices
Get the next permutation in lexicographic order
Compute the mediant of a list of positive rationals
Compute the apparent visual shape of an object or region traveling with constant velocity
A partial fraction decomposition with the Extension option
Get the next partition of an integer in reverse lexicographic order
Get k-subsets of a given set in minimum change order
Get subsets of a given set in minimum change order
Test whether a graph is reflexive
List the possible cycle length counts of permutations of a given length
Generate all compositions of an integer into the specified number of parts
Construct a list of permutations so that successive permutations differ by exactly one transposition
Calculate the number of permutations of the specified cycle length counts
Count the number of distinct necklaces made with beads of different colors
Construct a labeled tree given its Prüfer code
Find the Prüfer code associated with a labeled tree
Get the number of permutations having a specified length and number of inversions
Construct a Hasse diagram of a poset
Get the next composition of an integer in canonical order
Test whether the binary relation defined by edges of a graph is transitive
Get the n-th Gray code subset of a list
Compute a group induced by a permutation group on k-subsets
Get the next subset of a given set in canonical order
Compute the major index of a permutation
Test whether a graph is a partial order, that is, reflexive, antisymmetric and transitive
Get the next subset of a given set in lexicographic order
Solve computational problems using a generic backtracking algorithm
Get the subset of a list for a given index
Assign colors to vertices of a graph so that no edge connects vertices of the same color
Test whether a graph is perfect
Compute the smallest number of colors needed in a proper edge coloring of a graph
Count the number of labeled spanning trees in a graph
Find out if one partition of an integer dominates another
Find the index of a subset in Gray code order
Find the number of fundamentally different graphs of a specified size
Count the number of pairs of out-of-order elements in a permutation
Intersection graph of intervals
Find the solution of the Josephus problem
Compute the permutation graph of a permutation
Find articulation vertices of a graph
Count the number of cycles for all possible cycle lengths in a permutation
Get the lexicographic successor of a k-subset of a list
Count the number of involutions
Get the fibbinary sequence
Assign colors to edges of a graph so that no two adjacent edges have the same color
List permutations comprised only of cycles of size two or less
List the subsets of a set in lexicographic order
Convert an image to ASCII art
Generate a mosaic version of an image
Find a vertex cover not much larger than the minimal cover
Rearrange elements of a list