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Perform analytic and numeric quantum computations
Generate Isomers from Chemical Formulas
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
This paclet is for recreational mathematics and math puzzles
Work with logical functions and boolean values
Functions for modifying associations
A set of functions to manipulate the unified model of Cellular Automata
3D models of optical elements
TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals
Find equations describing a linear recurrence corresponding to an input sequence
Determine the consistency equations required for a system of linear equations to have a solution
Determine if a linear system has a solution
Linear codes provide an optimal way for transmitting blocks of data over noisy channels
Find the first few eigenvalues and eigenfunctions
Find a small solution to a system of linear equations over the integers
A compilation of the 192 solutions to the Heun differential equation
A memory efficient form of solving linear systems modulo 2
Compute the Whewell equation for a plane curve
Compute the Cesàro equation for a planar curve
Compute the natural equations of a curve
Get the Euler–Lagrange differential equations derived from a given functional
Decompose a vector into a linear combination of a set of vectors
Determine if a matrix represents a consistent system of linear equations
Determine whether a set of vectors is linearly independent
Calculate the constants associated with an equation of state
A paclet for linear algebra and its applications
Find instances of a binary operator that satisfy equational constraints
Get the augmented matrix of the system of linear equations
Determine whether an expression represents a linear function of a given set of variables
Solve a linear system with multiple moduli
Linear model fitting discarding outliers
Convert an axiom system from modus ponens to equational form
Generate a quiz to assess understanding of linear functions
Determine whether a given stress-energy tensor (field) is a solution to the Einstein field equations
Generate a quiz to assess understanding of linear transformations
Evaluate the piecewise spherical linear interpolant of given data
Try to find a counterexample to an equational hypothesis in a given system of axioms
Perform Bayesian linear regression with conjugate priors
Find a path that goes from one expression to another with a sequence of replacements
Perform matrix operations over a finite field
Numerically solve a system of linear equations using a quantum algorithm
Returns the coefficient matrix of a system of equations
A paclet for linear algebra
Determine whether a given Riemannian or pseudo-Riemannian manifold is a solution to the vacuum Einstein field equations
Determine whether a given ADM decomposition is a solution to the vacuum ADM equations
Generate an interactive graphical quiz on the plotting of linear functions
Solve rational linear system modulo the integers
Solving the quantum Liouvillian master equation
Generate an interactive quiz on matching data to a regression line
Model diffusion with a conservative mass transport equation
Solve an orthogonal polynomial Vandermonde linear system
List equations for Runge-Kutta methods
This is a paclet on nonlinear systems with the ultimate goal of robust MRAC for linear systems
Compute the LU decomposition of a matrix with different pivoting methods
Dynamically visualize an ordinary differential equation (ODE) or system of ODEs
Convert text describing a differential equation to a DSolve expression
This Paclet is on LTI systems for the ultimate goal of a robust MRAC for minimum phase linear systems
Manipulate the boundary conditions interactively for a solution to Poisson's equation over a rectangle
Plot order condition trees for Runge-Kutta method
Determine the root of an equation using the secant method
Community contributed collection of beautiful multi-color gradients from uiGradients
This Paclet is for LQR, LQG, LEQG, and H-infinity Control design
Collection of gradient hues from coolHue
Solve a system of trigonometric or hyperbolic equations
Trend line of a given set of data
Evaluate the solution of the standard Kepler equation
Visualize the function evaluations done by FindRoot
Compute the weight of a Butcher tree
Perform classification or regression on numeric data
Solve the linear minimax problem
Perform an analysis of variance
Convert equations in an arXiv preprint from TeX to Wolfram Language expressions using LLM
Transform a differential equation into normal form
Find all perfect power representations of an integer
Find the coordinate vector of a vector with respect to a basis
Model reference robust adaptive control design for MIMO LTI systems
Evaluate the matrix sign function
Model the position of a toy train and use a tracking controller to stop at stations
Make a diagrammatic representation of a linear map in the ZX-calculus
Solve a killer sudoku puzzle
Determine the root of an equation using Newton's method
Generate a quiz to assess understanding of slope fields
Model thermostat-controlled heat generation in a room with three insulated walls and a glass front
Solve the linear least absolute value problem
Evaluate the logarithmic norm of a square matrix
Give the quadrature conditions for Runge-Kutta methods
Evolve a quantum state in time, symbolically
Compute the geodesics for a parametrized surface
Give the solution to the n-queen problem
Fit a Serfling regression model to a dataset
Give the column-simplifying conditions for Runge-Kutta methods
Give the row-simplifying conditions for Runge-Kutta methods
Find the limiting ingredient in something similar to a chemical reaction
Determine if the span of one list of vectors is contained in the span of a second list of vectors
Convert a Quantity to a linear string in a customizable way
A collection of WL implementations of Matlab functions
Model the Lamm equation in a sector of a disk
Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods
Find integers representable as the sum of consecutive squares
Perform linear and nonlinear fits on data with error bars
Determine the root of an equation using the bisection method
Convert a string into boxes as if it were typed into a notebook
Find the parameterization of a curve that linearly connects a list of points
Convert a mathematical expression into an equivalent expression with head MeijerG
Convert a mathematical expression into an equivalent expression with head FoxH
Get data on a chemical reaction
Plot a predator-prey pursuit curve
Generate the tridiagonal companion matrix of a univariate polynomial
Solve Navier-Stokes equations coupled with a heat transfer equation over a rectangular region with cutout
Compute the geometric mean of two matrices
Obtain the orbit of a 2D iterated map from given initial conditions
Estimate the Hölder p-norm of a numerical matrix
Evaluate a matrix polynomial
Generate a quiz to assess understanding of geometric translations
Calculate the bialternate product of two square matrices
Generate a quiz to assess understanding of geometric rotations
Generate a quiz to assess understanding of geometric reflections
Solve differential equations using the Runge-Kutta method
Find the equation for an ellipse given two foci and a point
Find the equation for a hyperbola given two foci and a point
Identify which polar curves are associated with the given equations
Evaluate the radial distribution function for a fluid of hard spheres
Evaluate the Khatri-Rao product of matrices
Polynomial fit of a given set of data, represented as a spline curve
Create a TabView for a ListPlot using linear and logarithmic axes
Compute the Smith decomposition of a matrix of univariate polynomials
Compute the ordered Schur decomposition of a matrix
Compute the immanant of a square matrix associated with an integer partition
Plot data together with a visualization of the squared errors compared to a fit
Measure the linear-drift-insensitive, two-sample, phase/frequency stability
Find a conic equation that passes through five given points
Find the root of an equation or number using a specified numerical method
Neumann heat flux values prescribe the flux over the boundary edge of an axisymmetric cross section of a pipe
Compute the projection matrix for a given vector space
Compute the nullity of a matrix
Compute the angle between two subspaces
Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings
Propagate Gaussian uncertainty through NDSolve
Compute the polar decomposition of a matrix
Compute the sign and natural logarithm of the determinant of a matrix
Compute properties of the row space of a matrix
Compute properties of the column space of a matrix
Add row and column dividing lines to MatrixForm
Perform three equatorial measurements to a linear cluster state to obtain a general one qubit transformation
Solve differential equations using one of the Runge–Kutta or related methods
Find the ordinary differential equation constraining periods of certain symmetrical curves
Evaluate the inverse of a tridiagonal matrix
Fit multiple datasets with multiple expressions that share parameters
Evaluate the regular solid harmonic function
Obtain an approximate solution to an ODE using the piecewise Frobenius method
Evaluate the regular Coulomb wavefunction
Evaluate functions locally over any directed acyclic graph
Find a permutation that minimizes a matrix sum
A partial inverse for Thread
Generate a commutation matrix
Evaluate the boundary curve of the field of values of a matrix
Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement
Calculate the symmetric Kronecker product of two matrices
Get a cofactor of a matrix
Compute the derivative y' as a function of x from an implicit equation in those variables
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
Nonlinear Cholesky Factorization for MIMO nonlinear systems
Show the Gershgorin disks of a square matrix
Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem
Generate a quiz to assess understanding of geometric transformations
Compute the minimal polynomial of a square matrix
Plot intrinsic curves in 3D
Compute the Weingarten matrix of a surface
Generate an n-sized centering matrix
Create a density plot of a solution to the equations on a mesh
Model the time-dependent flow around a cylinder with the transient Navier–Stokes equation
An interactive plot for the areas inside the rose curve
PythonObject configuration for the Python package ProbNum
Finds the position of a primitive Pythagorean triple in Barning-Hall tree
Estimate the acentric factor of a substance
Compute the Weyr decomposition of a square matrix
Compute and plot eigenmodes of a polygon drum
Compute the rational Cholesky decomposition of a matrix
Compute the full QR decomposition of a matrix
Calculate the Tracy–Singh product of two matrices
Factor an integer into powers of Eisenstein primes
Explore the mass-spring system from equations to animations
Animate a solution to reaction diffusion equations over a disk
Compute the Aasen decomposition of a Hermitian matrix
Compute the Takagi decomposition of a complex-symmetric matrix
Compute a full rank decomposition of a matrix
Evaluate the face-splitting product of matrices
Compute the properties of a specified rose curve
Generate the tensor associated with the nth derivative of a vector field at a point
Compute the bidiagonal decomposition of a numerical matrix
Find row and column effects in a data matrix by repeatedly subtracting the median
Compute a function of a square matrix
Software monad for System Dynamics workflows
Get the bialternate sum matrix of a square matrix
A paclet for applications of dimensional analysis in physics and the engineering sciences
Convert a Hermitian-definite matrix pencil into a matrix with the same eigenvalues
Apply Finite Element method to solve PDEs over a 3D space shuttle region and visualize solutions
Compute the LQ regulator using Q-learning
Compute the Gaussian Hessenberg decomposition of a matrix
The logit function from probability
Quantile regression functions
Compute the Pfaffian of an antisymmetric (skew-symmetric) matrix
Determine whether two lists of vectors span the same subspace
Compute the skew-tridiagonal decomposition of an antisymmetric matrix
Get the positions of the columns that are pivot columns of a matrix
Find a basis for the subspace spanned by a list of vectors
Find a basis for the sum of a list of subspaces of ℝ^n
Return a basis for the subspace spanned by the columns of a matrix
Get a matrix with a 1 in a selected position and 0s elsewhere
Find the null values and vectors for the pencil of a set of square matrices
Project a vector onto a subspace
Verifies the Binet–Cauchy algebraic identity in a given dimension
Find a basis for the intersection of subspaces of ℝ^n
Return a basis for the subspace spanned by the rows of the matrix
Software monad for Quantile Regression workflows
Represent a canonical decomposition of the metric for a Riemannian or pseudo-Riemannian manifold via the ADM formalism
Plot a list of vectors in the plane
Visualize the Eigenvectors of a 2 x 2 or 3 x 3 matrix
Represent a stress-energy tensor (field) over a Riemannian or pseudo-Riemannian manifold
Return a pseudorandom unimodular matrix
Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more.
Build, visualize, analyze, and simulate compartmental models
Import a sparse matrix from the SuiteSparse matrix collection
Congregations of Pacific walruses off the coast of U.S. and Russia, 1852-2016
A software monad for Sparse Matrix Recommender (SMR) workflows
Find the determinant of the covariance matrix
Get the total variation of a matrix
Write a quadratic expression as a sum of squares by eliminating its mixed terms and then completing squares
Compute the Hermite decomposition of a matrix of univariate polynomials
Return a pseudorandom vector of a given type and size
Compute the directional derivative of a function
Give the totals of the entries on the rising diagonals of a square matrix
A memory efficient form of Gaussian elimination to row echelon form modulo 2
Obtain the canonical bases for selected spaces of matrices and functions
A memory efficient form of computing the null space of a matrix modulo 2
Generate the generalized Fiedler companion matrix of a univariate polynomial
Get the irreducible group representation of SU(2) for a given angular momentum
Approximate a numerical matrix as sum of Kronecker products
Represent a quaternion object
Calculate a partial trace of a matrix
Tests whether a matrix is an antidiagonal matrix
Generate an orthonormal basis from a given 3D vector
Creates an antidiagonal matrix by given the antidiagonal
Evaluate the Carleman matrix of a function
Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters
Generate a matrix from a list such that no row or column contains the same element twice
Compute a reduced basis for a set of vectors, along with a unimodular matrix that converts from the vectors to the reduced basis
Generate the comrade matrix corresponding to an orthogonal polynomial series
Represent the extrinsic curvature tensor field for a Riemannian submanifold
Return the Christoffel symbol for a given metric
Compute a Groebner basis and a conversion matrix from the input polynomials to the basis
Compute the Popov decomposition of a matrix of univariate polynomials
Generate the Sylvester matrix of two univariate polynomials
Normalizes the values of an Association
Create a binary matrix with a rotated, ellipse-shaped region of 1s
Compute the shape operator on a surface
Give the antidiagonal of a matrix
Compute the first order correlation matrix from an original correlation matrix
Symmetrically reorder the rows and columns of a square matrix
Replace the diagonal of an arbitrary matrix with zeros
Decompose a matrix into two non-negative matrix factors
Convert TensorContract expressions into an equivalent form using Dot and Tr
Given tensors and their indices, sum over repeated indices
Symmetric tridiagonal matrix for Gaussian quadrature
Generate the axis-angle representation of a three-dimensional rotation matrix
Find a unimodular conversion matrix corresponding to a lattice Gramian matrix
Given a metric, convert between covariant and contravariant components of a tensor
Get a magic square for any dimension
Solve a coupled reaction model
General contraction of levels of an array
Display symbolic tensor expressions as a diagram
Find an instance of n-dimensional vectors that produce a specified distance matrix
Evaluate Dirac matrices in any dimension
Generate a cubic B-spline curve that passes through given points
Build a matrix containing which biomolecular sequence positions can bond
Compute the control points of a Bézier curve that interpolates a given set of points
Append a column to the right of a matrix
Evaluate the Cayley-Menger matrix of a simplex
Represent words as contextual word-embedding vectors
Return uniformly distributed random rotations in quaternion form
Construct all potential bond lists from a folding matrix associated with a biomolecular sequence
Calculate the ray transfer matrix of a Gaussian optical system
Identify the main object in an image
Identify the main object in an image
A minimal PythonObject configuration for the SciPy package
Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems
Decompose a matrix into Independent Component Analysis matrix factors
Quickly cluster a point cloud by recursive separation
Estimate the level of difficulty for a given sudoku puzzle
Generate a killer sudoku puzzle
Import and work with a Metamath database
A model of a two-link robot
Get the d-dimensional identity hypermatrix
Solve an alphametic puzzle
Smooth noisy data using local regression
Compute the normal vector to a 3D polygon
Simulate the evaluation of a formal operator expression as a multiway system
Get a physicist's constructive proof of Fuchs's theorem on hyperelliptic curves
A Norrbin model of a ship's steering dynamics
Generate points on a geodesic grid
Find the numerical derivative of a list of values or pairs of values
Explore changes in the composition of the universe according to the standard ΛCDM (Lambda cold dark matter) model
Fit a line to data points in n-dimensional space
Model of a torque-driven flexible joint
Measurements of vertical wind profiles measured at night in the Arizona desert using a high dynamic range, Ka band radar
A model of a two-stage chemical reactor with delayed recycle
Make an abstract model of a quiver (i.e. a directed multigraph) that forms the basis of an abstract category
Make an abstract model of a category (i.e. a collection of objects and morphisms obeying associativity and identity axioms)
Create a triangular set decomposition for a given list of polynomials and variables
Compute quantile regression fits over a time series, a list of numbers or a list of numeric pairs
Detect and localize objects in an image
Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector
Identify the main object in an image
Simulate a quantum evolution as a multiway system
Compute branch pairs for a given multiway system
Compute branch pair resolutions for a given multiway system
Generate a graph of branch pair ancestry for a list substitution "glocal" (hybrid of global and local) multiway system
Compute canonical branch pairs for a given multiway system
Simulate the evolution of a list substitution system as a "glocal" (hybrid of global and local) multiway system
Simulate the evolution of a Wolfram model system as a "glocal" (hybrid of global and local) multiway system
Determine whether a given multiway system is causal invariant
Create combinator expressions for each element of a specified group, as well as the group's operation
Generate a graph of branch pair ancestry for a Wolfram model "glocal" (hybrid of global and local) multiway system
Determine whether a given multiway system is causal invariant
Generate a graph of branch pair ancestry for a string substitution "glocal" (hybrid of global and local) multiway system
Compute the evolution of a multiway system and many associated properties
Plot the evolution of a multiway system
Compute the Knuth-Bendix completion for a given multiway system
Compute the canonical Knuth-Bendix completion for a given multiway system
Simulate the evolution of a string substitution system as a "glocal" (hybrid of global and local) multiway system
Compute the evolution of a generational multiway system and many associated properties
Find the tangent plane of a function at a point
Display the regression line of a dataset
Fit a line through a set of points using the Theil–Sen estimator
Compute the hyperdeterminant for a given hypermatrix (a multidimensional array of complex numbers)
Try to find a proof of equivalence between hypergraphs in a given multiway Wolfram model system
Try to find a proof of equivalence between lists in a given multiway system
Simulate a nondeterministic Turing machine evolution as a multiway system
Simulate an arbitrary (potentially commutative) semigroup as a multiway system
Generate a graph of branch pair ancestry for a nondeterministic Turing machine "glocal" (hybrid of global and local) multiway system
Simulate the evolution of a nondeterministic Turing machine as a "glocal" (hybrid of global and local) multiway system
Simulate an arbitrary (potentially abelian) group as a multiway system
Represent the abstract pullback of a collection of morphisms with common codomain in an abstract category
Simulate an arbitrary (potentially commutative) monoid as a multiway system
Make an abstract model of a category equipped with a strictly associative and unital tensor product structure
Make an abstract model of a functor (i.e. a homomorphism between abstract categories)
Represent the abstract product of an arbitrary collection of objects in an abstract category
Represent the abstract coproduct of an arbitrary collection of objects in an abstract category
Represent the abstract pushout of a collection of morphisms with common domain in an abstract category
Try to find a proof of equivalence between strings in a given multiway system
Get the osculating parabola of a plane curve
Compute the radius of aberrancy of a plane curve
Get the osculating conic of a plane curve
Compute the aberrancy of a plane curve
Compute the curve of aberrancy of a plane curve
Systems biology model for endocytosis
Access sequences and metadata from The On-Line Encyclopedia of Integer Sequences
Display information related to fitting of a set of data
Build a multi-head attention net
Find the intersection of two lines
Get an association of information related to fitting a set of data
Determine whether a given integer is a perfect power
Compute Moran's I spatial autocorrelation coefficient
Return the list provided by the OEIS for a given OEIS sequence number
Compute the finite difference stencil for a specified set of variables and their derivatives
Simulate the evaluation of a combinator expression as a multiway system
Simulate the evaluation of a combinator expression as a "glocal" (hybrid of global and local) multiway system
Generate a graph of branch pair ancestry for a combinator evaluation "glocal" (hybrid of global and local) multiway system
Compute the evolution of a multiway system based on function evaluation over the integers
Plot fitted models together with their raw data
Various simple matrix decompositions algorithms and support functions
Compute the hypertrace of a given hypermatrix
Attempt to find a proof of a theorem in combinatory logic using a given combinatory calculus
Train a simple classifier to distinguish daytime photos from nighttime ones
Use surgery functionality to train a net from the Wolfram Neural Net Repository
A few robust backstepping tools
Smooth transition functions for control design
Generate the companion matrix for the Newton interpolating polynomial of a given set of points
Fit an ellipse to a list of 2D points
Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula
Use image feature extraction and neural networks to classify pollen samples of different flowers
Check the quality of a data fitting model by splitting the data into test and validation sets multiple times
Evaluate an infinite sum using the Levin transformation
Compute the Dixon resultant with respect to a set of polynomials and variables
Ermer-Lifson CFF for alkanes, alkenes, and alkylbenzenes
Create markers carefully designed for the creation of publication-quality plots