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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
Plot the Frenet–Serret frame of a curve
Compute the torsion of a curve
Convert a 3D curve into a parametrized tube
Plot intrinsic curves in 3D
Compute the curvature of a curve
Compute the binormal vector of a curve
Plot a curve defined by its curvature
Plot a curve defined by its curvature and torsion
Compute the moving orthonormal frame of a surface
Light curve data for planetary system Kepler-11
Compute the radial curve of a given curve
Compute parallel (offset) curves
Compute the inversion of a curve
Get an approximation to a parametric curve
Generate a Morton (z-order) curve
Compute the contrapedal curve
Compute a strophoid curve
Compute the curve of aberrancy of a plane curve
Compute the evolutoid of a curve
Compute the evolute of a curve
Compute the pedal of a curve
Compute the aberrancy of a plane curve
Compute the asymptotic curves of a parameterized surface
Get curves defined over a sphere
Turn any character into a graphics object
Compute the catacaustic of a curve
Compute the involute of a curve
Create a B-spline curve along a color gradient using two colors
Find the points of intersection of two curves
Compute the negative pedal curve
Generate the Minkowski sausage curve
Generate a random Koch curve
Plot a predator-prey pursuit curve
Identify which polar curves are associated with the given equations
Compute the points that form a generalized Koch curve
Get a dynamic plot of a univariate function along with supplemental algebraic and calculus-based properties of the function
Find the area between two plane curves
Compute the properties of a specified rose curve
Generate the Lévy C 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
Generate a cubic B-spline curve that passes through given points
Polynomial fit of a given set of data, represented as a spline curve
Display information related to fitting of a set of data
Get an association of information related to fitting a set of data
Import astronomical light curve data from the AAVSO International Database
Compute the integral describing the area between two plane curves
One of the more popular functions to describe the conventional correlation for the drag on a sphere in steady motion
Modify a BSplineCurve object to have explicit settings for certain options
Compute the Darboux vector field of a curve
Make a B-spline representation of a polynomial over an interval
Find a cubic plane curve that passes through nine given 2D points
Compute the Cesàro equation for a planar curve
Create a smooth parametrized function from a list of points with flexible control over smoothing
Generate an interactive quiz on matching data to a quadratic regression curve
Generate an interactive quiz for matching data to an exponential regression curve
Generate a BSplineCurve primitive representing a circle
Create a chain of Bézier curves that smoothly connects a list of points
Compute the normal vector of a curve
Compute the tangent vector of a curve
Smooth curve interpolation based on local procedures for a multiple-valued curve
Interpolation and smooth curve fitting based on local procedures
Compute the rectifying plane of a space curve
Generate an interactive quiz on matching data to a regression line
Compute the Whewell equation for a plane curve
Create a parametric plot of a curve in the plane with direction indicated by arrowheads and color
Compute properties of the tangent and normal lines to a curve at a given point
Generate a surface twisting a curve
Compute the orthotomic of a curve
Compute the inversion surface
Plot the composition of cycles having different radii, frequencies and phases
Explore the properties of a Stirling cycle, from expansion curves to efficiency
Compute the intercepts of a function with the coordinate axes
Compute the generalized helicoid of a curve
Alfred Gray’s associated surfaces taken from his original notebooks of his book "Modern Differential Geometry of Curves and Surfaces with Mathematica"
Compute the natural equations of a curve
Get the osculating parabola of a plane curve
Get the osculating conic of a plane curve
Compute the radius of aberrancy of a plane curve
The Dixon elliptic functions in Mathematica
Compute properties of the tangent line to a curve at a given point
Generate interpolating nodes from points on a curve
Construct a function that, when given a threshold probability value, produces a confusion matrix
Find the ordinary differential equation constraining periods of certain symmetrical curves
Compute the Björling formula
Find the cusps of a curve
Find the corners of a curve
Check if a function is monotonic
Check if a function is strictly monotonic
Compute the polar radius of a regular polygon
Compute properties of the normal line to a curve at a given point
Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem
Compute the control points of a Bézier curve that interpolates a given set of points
Compute the perpendicular surface of a curve
Compute the implicit curvature of a curve
Compute the turning number of a curve
Compute the tangential angle of a curve
Compute the normal surface of a curve
Compute the binormal surface to a curve
Compute a translation surface parametrization
Get the osculating circle of a curve
Plot data together with a visualization of the squared errors compared to a fit
Compute the regions on which an expression is monotonic
Compute the parametrization of a curve projected onto the unit sphere
Standard illuminants, colorimetric observer curves, and daylight components for working with visible light spectra and illumination, from Publication CIE 15:2004
Plots of Alfred Gray’s Surfaces collection
Test if a piece of a graphic is a graphics primitive
Compute the osculating plane of a space curve
Compute the tangent developable surface of a curve
Compute the normal plane of a space curve
Compute the total signed curvature of a curve
An improved sigmoidal interpolation function
Extract the false positive rate, true positive rate and threshold values from the receiver operating characteristic (ROC) curve generated by a ClassifierMeasurementsObject
Get the Lucas cubic curve of a triangle
Geohash encoding and decoding
Find the number of times the domain coloring of a function wraps around the color wheel along a given curve
Compute the normal curvature of a curve on a surface
Get the parametrization of a seashell surface
Perform a pebble stone–like effect on an image
Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot
Generate a fractional Brownian surface
Compute the asymptotes to a given curve in two dimensions
Plot two curves and highlight their points of intersection
Transfinite interpolation of functions representing boundary curves of a surface
Get a physicist's constructive proof of Fuchs's theorem on hyperelliptic curves
Evaluate the boundary curve of the field of values of a matrix
Compute properties of the secant line to a curve between two points
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
Create Graphics primitives of a closed curve that encloses a set of points
Produce a dynamic interface for a curve being traced out by the tip of a vector
A sigmoidal interpolating rational function
A generalized sigmoidal interpolating polynomial
Create a parametric plot of a curve in space with direction indicated by arrowheads and color
Create a dynamic interface for a three-dimensional curve being traced out by the tip of the vector
Compute the coefficients of the second fundamental form
Obtain topological information of polymers or biopolymers and other simple or complex structures
Make a random scribble graphic
Loblolly pine tree growth measurement
Make random mandala plots
Generate a biarc through two points
Get an association of the properties of a conic section
Represent a hyperbolic polygon embedded in the Poincaré disk
Represent a hyperbolic line segment or polyline embedded in the Poincaré disk
Create a polygon from a list of midpoints
Generate random Rorschach tests
Use the curvature flow image filter to smooth the boundary of a snowflake
Get an association of the properties of the given parabola
A sigmoidal interpolation function
Fit an ellipse to a list of 2D points
Compute the principal curvatures of a surface
Compute the mean curvature of a surface
Compute the stereographic projection from the unit sphere to a plane
Compute the Gaussian curvature for a metric
Compute expressions for Dupin cyclide surfaces
Compute the Weingarten matrix of a surface
Software monad for Quantile Regression workflows
Compute the parametrization of a tube of variable section
Compute the coefficients of the first fundamental form of a surface
Compute the shape operator on 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 directional derivative of a function
Compute the Enneper-Weierstrass parametrization
Compute the tangent plane of a parametric surface
Compute the parallel surface 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
Construct an interpolating polynomial approximation of a function using the Padua points
Generate Padua points for bivariate interpolation and cubature
Numerically integrate a function using the Padua points