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Functions for protein visualizations
Wolfram Language functions for Chemistry
A collection of lesser-known circular and hyperbolic trig functions and their inverses
Symmetry data and utilities related to crystallography and X-ray scattering
This paclet is for recreational mathematics and math puzzles
3D models of optical elements
TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals
Receiver Operating Characteristic (ROC) functions
Quantile regression functions
Compute the rectifying plane of a space curve
Compute the normal plane of a space curve
Compute the osculating plane of a space curve
Compute a strophoid curve
Compute the aberrancy of a plane curve
Compute the curve of aberrancy of a plane curve
Compute the evolutoid of a curve
Compute the evolute of a curve
Find the area between two plane curves
Get the Hessian normal form of a plane passing through three given points in space
Find the tangent plane of a function at a point
Find a cubic plane curve that passes through nine given 2D points
Generate a Morton (z-order) curve
Compute the integral describing the area between two plane curves
Compute the angle between two planes in R^3
Compute the intersection point of a plane and line
Compute the tangent plane of a parametric surface
Compute the radius of aberrancy of a plane curve
Get the osculating parabola of a plane curve
Get the osculating conic of a plane curve
Light curve data for planetary system Kepler-11
Get the hyperplane that best fits a set of points
Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane
Generate the Lévy C curve
Compute the radial curve of a given curve
Modify a BSplineCurve object to have explicit settings for certain options
Compute the inversion of a curve
Get an approximation to a parametric curve
Compute parallel (offset) curves
Compute the contrapedal curve
Create a parametric plot of a curve in the plane with direction indicated by arrowheads and color
Generate a cubic B-spline curve that passes through given points
Compute the pedal of a curve
Compute the asymptotic curves of a parameterized surface
Convert a 3D curve into a parametrized tube
Create a smooth parametrized function from a list of points with flexible control over smoothing
Get curves defined over a sphere
Compute the Whewell equation for a plane curve
Turn any character into a graphics object
Compute the catacaustic of a curve
Compute the involute of a curve
Find the points of intersection of two curves
Create a B-spline curve along a color gradient using two colors
Compute the torsion of a curve
Compute the negative pedal curve
Generate the Minkowski sausage curve
Generate a random Koch curve
Identify which polar curves are associated with the given equations
Compute the points that form a generalized Koch curve
Plot a predator-prey pursuit curve
Compute the parametrization of a curve projected onto the unit sphere
Get a dynamic plot of a univariate function along with supplemental algebraic and calculus-based properties of the function
Compute the properties of a specified rose curve
An interactive plot for the areas inside the rose curve
Compute the catacaustic of a curve at infinity
Plot the catacaustic of a curve
Display information related to fitting of a set of data
Get an association of information related to fitting a set of data
Polynomial fit of a given set of data, represented as a spline curve
Produce causal graphs by dynamically triangulating a specified region of a (potentially curved) spacetime
Import astronomical light curve data from the AAVSO International Database
One of the more popular functions to describe the conventional correlation for the drag on a sphere in steady motion
Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function
Plot the composition of cycles having different radii, frequencies and phases
Make a B-spline representation of a polynomial over an interval
Plot intrinsic curves in 3D
Generate a set of integers that can create Dobble cards
Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot
Test if a piece of a graphic is a graphics primitive
Compute the Cesàro equation for a planar curve
Determine whether a set of points lies in a plane
Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime
Classification of Steiner Surfaces
A curved line between two points
Create a list of all triangles with side lengths a and b and angle β opposite the side with length b
Compute the polar radius of a regular polygon
Produce random spatial graphs by sprinkling points into a Riemannian manifold with a specified intrinsic algebraic curvature function
Produce random spatial graphs by sprinkling points into a Riemannian manifold with an arbitrary extrinsic curvature
Compute the turning number of a curve
Detect molecular point groups describing the symmetry of a molecule
Generate an interactive quiz for matching data to an exponential regression curve
Generate an interactive quiz on matching data to a quadratic regression curve
Create a chain of Bézier curves that smoothly connects a list of points
Smooth curve interpolation based on local procedures for a multiple-valued curve
Create a triangular grid graph with customizable width and height, represented as a parallelogram composed of triangular grids
Generate a BSplineCurve primitive representing a circle
Interpolation and smooth curve fitting based on local procedures
Compute the total signed curvature of a curve
Plot the Frenet–Serret frame of a curve
Compute the control points of a Bézier curve that interpolates a given set of points
Generate an interactive quiz on matching data to a regression line
Construct special triangles of a triangle
Get the coordinates of the points on a triangular spiral
Compute properties of the tangent and normal lines to a curve at a given point
Construct a specified Kimberling center of a triangle
Plot a list of vectors in the plane
Get the coordinates of the points on a hexagonal spiral
Compute the orthotomic of a curve
Solve for a given quantity in a geometric scene
Get the coordinates of the points on a square spiral with sides parallel to the axes
Compute the Darboux vector field of a curve
Convert a point reflected in a spherical mirror to its spherical anamorphosis map in a plane parallel to the xy-plane
Generate a tessellation of the plane with specified cell shapes
Plot a curve defined by its curvature
Plot a curve defined by its curvature and torsion
Compute the inversion surface
Calculate the radical hyperplane of two hyperspheres
Compute the stereographic projection from the unit sphere to a plane
Project 3D graphics onto a plane
Generate a surface twisting a curve
Compute the generalized helicoid of a curve
Visualize the behavior of conformal mappings in the complex plane
Explore the properties of a Stirling cycle, from expansion curves to efficiency
Compute the natural equations of a curve
Compute properties of the tangent line to a curve at a given point
Compute the intercepts of a function with the coordinate axes
Alfred Gray’s associated surfaces taken from his original notebooks of his book "Modern Differential Geometry of Curves and Surfaces with Mathematica"
The Dixon elliptic functions in Mathematica
Compute the curvature of a curve
Compute the inversion of an object with respect to a reference circle in the Euclidean plane
Find the cusps of a curve
Find the corners of a curve
Classify and plot any polynomial of degree two or less in three or fewer variables
Construct a function that, when given a threshold probability value, produces a confusion matrix
Compute properties of the normal line to a curve at a given point
Generate interpolating nodes from points on a curve
Find the ordinary differential equation constraining periods of certain symmetrical curves
Create an interface for constructing a GeometricScene
Compute the Björling formula
Check if a function is monotonic
Compute the perpendicular surface of a curve
Compute the implicit curvature of a curve
Check if a function is strictly monotonic
Compute the normal surface of a curve
Compute the binormal surface to a curve
Compute the normal vector of a curve
Compute the tangential angle of a curve
Compute the binormal vector of a curve
Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem
Compute the tangent vector of a curve
Get the osculating circle of a curve
Compute a translation surface parametrization
Reflect a set of points over a line, plane or hyperplane defined by points
Plot data together with a visualization of the squared errors compared to a fit
Compute the regions on which an expression is monotonic
Standard illuminants, colorimetric observer curves, and daylight components for working with visible light spectra and illumination, from Publication CIE 15:2004
Compute the normal curvature of a curve on a surface
Compute the tangent developable surface of a curve
Get the Lucas cubic curve of a triangle
Plots of Alfred Gray’s Surfaces collection
An improved sigmoidal interpolation function
Plot cubic lattice crystallographic planes with h, k, l Miller indices
Extract the false positive rate, true positive rate and threshold values from the receiver operating characteristic (ROC) curve generated by a ClassifierMeasurementsObject
Get the parametrization of a seashell surface
Geohash encoding and decoding
Represent a hyperbolic polygon embedded in the Poincaré disk
Represent a hyperbolic line segment or polyline embedded in the Poincaré disk
Find the number of times the domain coloring of a function wraps around the color wheel along a given curve
Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group
Evaluate the boundary curve of the field of values of a matrix
Plot two curves and highlight their points of intersection
Compute the asymptotes to a given curve in two dimensions
Perform a pebble stone–like effect on an image
Generate a fractional Brownian surface
3D graphic of Saturn oriented to match the tilt of the ring plane as seen from Earth
Get the Hessian normal form of a line passing through two given points on the Cartesian plane
Compute the point group symmetry symbol of a molecule or a polyhedron
Make a random scribble graphic
Compute the defining properties of the osculating circle for a curve at a point
Find the parameterization of a curve that linearly connects a list of points
Transfinite interpolation of functions representing boundary curves of a surface
A version of VectorAngle for 2D vectors that can return negative angles
Lattice points in a square in zigzag order from the bottom-left to the top-right corner
Find the tangency points on a circle emanating from a point
Return the orthocenter of a triangle
Convert a point reflected in the base of a right conical mirror to its conic anamorphic map in the xy plane
Give the distance between two points in hyperbolic space
Get a physicist's constructive proof of Fuchs's theorem on hyperelliptic curves
Compute properties of the secant line to a curve between two points
Create Graphics primitives of a closed curve that encloses a set of points
Produce a rhombus for use in graphics
Produce a dynamic interface for a curve being traced out by the tip of a vector
Create a parametric plot of a curve in space with direction indicated by arrowheads and color
A sigmoidal interpolating rational function
Represent a polygon with rounded corners
Create a graphic of nested circles and polygons inside an initial regular polygon
Compute the geometric supplement to a given angle using degrees
Compute the geometric complement to a given angle using degrees
Compute the reference angle to a given input angle
Compute the reference angle to a given input angle using degrees
Compute the geometric complement to a given angle
Compute the geometric supplement to a given angle
Generate the Steiner circumellipse of a 2D triangle
Get the four main points of the Euler line of a triangle
A generalized sigmoidal interpolating polynomial
Return the Gergonne point of a triangle
Given edge lengths of a triangle, return the angles opposite those edges
Generate random Mondrian patterns
Find the intersection of two circles
Return the lines passing through three or more points, given a set of points
Create a dynamic interface for a three-dimensional curve being traced out by the tip of the vector
Represent a polygon with notched corners
Divide an image into a list of colored polygons centered around the origin
Perform Lloyd's algorithm to find evenly spaced points in a region
Approximate the generalized Voronoi mesh for non-overlapping geometries
Generate a mesh geometry from points without including exterior concave perimeter areas or holes
Get the orientation of a simplex
Represent a polyline with rounded corners
Make a hole in the middle of a polygon
Given a 3D triangle, return an equivalent 2D triangle along with a transformation function
A cellular automata method for creating cartograms
Calculate integer 2D point locations along a line using Bresenham's method
Create quadrilateral polygon with two parallel sides
Get the three Lucas circles of a given triangle
Interpolate over values given at the vertices of a polygon
Get the shortest displacement between two points in a box with periodic boundary conditions
Calculate the convex layers of a set of 2D points
Divide an image into an array of colored squares
Represent a Reuleaux polygon
Compute shortest tours visiting all lattice points within each Voronoi cell in a region
Give all the polyominoes of a specified rank
Compute the signed area of a polygon
Find the barycentric coordinates of a point
Find the shortest paths between two points in 2D regions
Get the standard simplex for a specified dimension
Make plots of Penrose tiles
Fill holes in MeshRegion objects
Obtain topological information of polymers or biopolymers and other simple or complex structures
Get trigonometric datasets including closed-form values
Generate circle packings covering a picture
Evaluate the shortest distance between two points in a box with periodic boundary conditions
Test if three given lengths make a triangle
Show the Gershgorin disks of a square matrix
Get the measure of a simplex or simplicial complex
Get an association of the properties of a conic section
Create a graph of a regular hyperbolic tiling
Evaluate the Theodorus function
Evaluate the solution of the standard Kepler equation
Plot polygons after iteratively applying a translation, scaling and rotation
Find an instance of n-dimensional vectors that produce a specified distance matrix
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
Create a noncontiguous cartogram
Compute the projection matrix for a given vector space
Generate Schmidt arrangements of circles
Evaluate the Cayley-Menger matrix of a simplex
Generate the graph associated with a parametric description of a manifold
Create a non-overlapping cartogram type with visual equalization, partial topology preservation and no shape preservation
Classifies and plots any polynomial of degree two or less in two or fewer variables
Compute Moran's I spatial autocorrelation coefficient
Calculate the ray transfer matrix of a Gaussian optical system
Get an association of the properties of the given parabola
Fit an ellipse to a list of 2D points
Loblolly pine tree growth measurement
Make random mandala plots
Generate a biarc through two points
Given a simplex and point, find the cevians
Create a polygon from a list of midpoints
Compute the normal vector to a 3D polygon
Generate random Rorschach tests
Use the curvature flow image filter to smooth the boundary of a snowflake
Visualize the noise sphere of a set of random numbers
A sigmoidal interpolation function
Compute the principal curvatures of a surface
Compute the mean curvature of a surface
Compute expressions for Dupin cyclide surfaces
Compute the Weingarten matrix of a surface
Compute the Gaussian curvature for a metric
Software monad for Quantile Regression workflows
Compute the parametrization of a tube of variable section
Compute the shape operator on a surface
Compute the coefficients of the first fundamental form of a surface
Compute the area element for a surface
Compute the Gaussian curvature of a surface
Compute the unit normal of a surface
Compute the coefficients of the second fundamental form
Compute the directional derivative of a function
Compute the Enneper-Weierstrass parametrization
Compute the parallel surface of a surface
Compute the moving orthonormal frame of a surface
Import a Wavefront RFL file
Compute the geodesics for a parametrized surface
Compute the focal set of a surface
Compute the parametrization of a canal surface
Morph an image from one shape into another
Evaluate the piecewise spherical linear interpolant of given data
Interpolate data using Akima's method or modifications of it
Evaluate a finite orthogonal polynomial series
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
Compute the Ricci scalar for a metric
Compute the components of the Ricci curvature for a metric
Numerically integrate a function using the Padua points
Generate Padua points for bivariate interpolation and cubature
Construct an interpolating polynomial approximation of a function using the Padua points