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Perform analytic and numeric quantum computations
A collection of lesser-known circular and hyperbolic trig functions and their inverses
Symmetry data and utilities related to crystallography and X-ray scattering
Build, visualize, analyze, and simulate compartmental models
Combinatorics functions for subsets, tuples, and permutations
Functions for caching with automatic garbage collection
Get the full list of complex nth roots of a number
Determine if a given number is an integer complex root of another number
Convert all nth roots in an expression, where n is an odd integer, to their real-valued nth roots
Get the set of primitive nth roots of unity
Combine the real and imaginary parts of complex numbers into a single fraction
Get a complex number in polar form or polar exponential form
Compute a partial derivative with respect to a complex variable or its conjugate
Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points
Compute and visualize the roots of fractional (noninteger) derivatives of polynomials
Compute the BKK bound on the number of isolated complex solutions of a square polynomial system
Visualize a complex function as an array of bubbles
Add a complex transformation to an image
Visualize the behavior of conformal mappings in the complex plane
A 3D rotatable Riemann sphere version of ComplexPlot
Functions for creating and working with MoleculeComplex's, which are collections of Molecule objects in the same 3D space
Get a GraphicsComplex for ConvexHullMesh
Modify text to use more complex words
Count the roots to a system of polynomials
Find zeros of the ScorerGi function
Determine if a number is a Gaussian integer
Denest nested radical expressions
Map the argument of a complex number to a color
Compute the Betti numbers for a simplicial complex
Compute the Poincaré polynomial for a simplicial complex
Compute the harmonic conjugate of a function
Get the measure of a simplex or simplicial complex
Find the topological boundary of a simplex or simplicial complex
Compute the Takagi decomposition of a complex-symmetric matrix
Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula
A sample paclet used to demonstrate more complex CI/CD workflows at the 2022 Wolfram Technology Conference
Evaluate the unwinding number
Plot Riemann surfaces of compositions of elementary functions
Print human-readable form of complex expressions
Determine the configuration of stereoisomers
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
Get one or more functions of a single complex variable
A partial fraction decomposition with the Extension option
Compute the hyperdeterminant for a given hypermatrix (a multidimensional array of complex numbers)
Visualize the overlap of two discrete time series
Obtain topological information of polymers or biopolymers and other simple or complex structures
Compute the parametrization of a curve projected onto the unit sphere
Convert integer tuples into Heegner field primes when applicable
Generate the power diagram of a set of circles
Get the orientation of a simplex
Alfred Gray’s associated surfaces taken from his original notebooks of his book "Modern Differential Geometry of Curves and Surfaces with Mathematica"
Plots of Alfred Gray’s Surfaces collection
The Dixon elliptic functions in Mathematica
Convert a mathematical expression into an equivalent expression with head MeijerG
Convert a mathematical expression into an equivalent expression with head FoxH
The use of counting process methodology has allowed for substantial advances in the statistical theory to account for censoring and truncation in survival experiments. This book makes these complex methods more accessible to applied researchers without an advanced mathematical background.
The use of counting process methodology has allowed for substantial advances in the statistical theory to account for censoring and truncation in survival experiments. This book makes these complex methods more accessible to applied researchers without an advanced mathematical background.
Recognize functions by their power series expansions
Represent a quaternion object
Find a mini-max approximation of a function defined parametrically
Find a mini-max approximation of a function
Social network of an online community
Functions for protein visualizations
Search numerically for the values of parameters of a trial function that extremize a functional
Evaluate the product derivative of a function
Get the derivative with respect to a function
Calculate fractional integrals
Expand a function into a factorial series
Evaluate the Faddeeva function
Expand elliptic functions in an expression
HUD's PD&R (Office of Policy Development and Research) is responsible for maintaining current information on housing needs, market conditions, and existing programs, as well as conducting research on priority housing and community development issues. The Office provides reliable and objective data and analysis to help inform policy decisions. PD&R is committed to involving a greater diversity of perspectives, methods, and researchers in HUD research.
Find a numerical approximation of a residue of an expression around the specified point
Find the limiting value of an expression numerically
Get a list of abscissas and weights for the numerical inverse Laplace transform
Evaluate an alternating sum using the Cohen-Rodriguez Villegas-Zagier method
Compute the turning number of a curve
Evaluate the Fabius function
Evaluate the Zolotarev polynomial
Implement the Ramanujan mock theta functions
Evaluate Euler's false logarithmic series
Evaluate the Nielsen function F
Build an elliptic function with given periods, zeros and poles
Evaluate the Heuman lambda function
Find a numerical approximation for an inverse Fourier cosine transform
Find a numerical approximation of a series expansion of a function
Evaluate the associated Anger–Weber function
Factor an integer into powers of Eisenstein primes
Find a numerical approximation to a function derivative near the specified point
Evaluate the triple gamma function
Evaluate an infinite sum using the Levin transformation
Find a numerical approximation for a function with a given Fourier exponential series
Find a function with a given Fourier exponential series
Evaluate the Schläfli polynomial
Evaluate the Weber parabolic cylinder function U
Evaluate the Clausen function
Evaluate Bulirsch's general complete elliptic integral
Simulate a forest fire as a probabilistic cellular automaton
Evaluate the inverse tangent integral
Evaluate the Lommel function
Compute the values of the function from which the de Bruijn–Newman constant is defined
Evaluate the Theodorus function
Evaluate the Eisenstein series
Generate the conditions under which a list of symbolic expressions has a particular ordering or set of orderings with respect to an operation
Evaluate the Takagi function
Evaluate the Epstein–Hubbell integral
Find the numerical approximation for the inverse Laplace transform
Return uniformly distributed random rotations in quaternion form
Test if a piece of a graphic is a graphics primitive
Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group
The true Routh Hurwitz test and more
Reconstruct a 3D facial image from a 2D facial image
Determine the locations of keypoints from a facial image
Determine the 2D projection of 3D keypoints from a facial image
Transcribe an English audio recording
Translate text between any pair of one hundred languages
Generate an answer to a question given an image
Perform three equatorial measurements to a linear cluster state to obtain a general one qubit transformation
Find the integer square root of a positive integer
Get a color based on the Digital Library of Mathematical Functions (DLMF) color wheel
Network of Jazz musicians.
Get the flow of an iterated function at a fixed point
3D model of the Stanford Dragon
3D model of the Stanford Happy Buddha
Make an inside-outside plot of a function
Evaluate the boundary curve of the field of values of a matrix
Visualize the recurrence of a single discrete time series on a lattice
Return a pseudorandom vector of a given type and size
Compute the Frobenius companion matrix of a polynomial
Support arithmetic operations for pairs of Eisenstein integers
Evaluate the regular Coulomb wavefunction
Return a pseudorandom unimodular matrix
Prove or disprove a closed first-order formula in the theory of univariate mixed trigonometric polynomials
Generate a nested branching model
Get the polynomial degree of an algebraic number
Perform persistent homology on a point cloud dataset
Find the number of times the domain coloring of a function wraps around the color wheel along a given curve
Generate the comrade matrix corresponding to an orthogonal polynomial series
Calculate the bialternate product of two square matrices
Remove duplicated graphical elements from a polyhedron
Obtain optical constants of water valid from ultraviolet to microwave range
Power density in various systems in the universe for a comparison of their thermodynamics efficiency
Get a pseudorandom matrix of a given kind, type and size
Get the bialternate sum matrix of a square matrix
Generate the tensor associated with the nth derivative of a vector field at a point
Create markers carefully designed for the creation of publication-quality plots