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Functions for protein visualizations
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
Extract lexical patterns from text
Receiver Operating Characteristic (ROC) functions
Quantile regression functions
Interpolation and smooth curve fitting based on local procedures
Smooth curve interpolation based on local procedures for a multiple-valued curve
An improved sigmoidal interpolation function
Create a smooth parametrized function from a list of points with flexible control over smoothing
Display information related to fitting of a set of data
Polynomial fit of a given set of data, represented as a spline curve
Get an association of information related to fitting a set of data
A sigmoidal interpolating rational function
A generalized sigmoidal interpolating polynomial
A sigmoidal interpolation function
Generate an interactive quiz for matching data to an exponential regression curve
Generate an interactive quiz on matching data to a quadratic regression curve
Evaluate a smooth step function based on exponentials
Generate smooth numbers up to some maximum
Generate an interactive quiz on matching data to a regression line
Test whether the prime factors of an integer are less than a given threshold
Smooth transition functions for control design
Create a chain of Bézier curves that smoothly connects a list of points
Light curve data for planetary system Kepler-11
Linear model fitting discarding outliers
Use the curvature flow image filter to smooth the boundary of a snowflake
Plot data together with a visualization of the squared errors compared to a fit
Compute the radial curve of a given curve
Compute the inversion of a curve
Get an approximation to a parametric curve
Compute parallel (offset) curves
Compute the contrapedal curve
Generate a Morton (z-order) 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
Convert a 3D curve into a parametrized tube
Get curves defined over a sphere
Turn any character into a graphics object
Construct a least-squares trigonometric fit to data
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
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
Smooth noisy data using local regression
Compute the catacaustic of a curve at infinity
Plot the catacaustic of a curve
Split and merge two images at different scales using image pyramids
Generate a cubic B-spline curve that passes through given points
Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data
Create an interpolation augmented with first derivatives of circles through consecutive point triples
Find the best-fitting partitions for a list of groups using co-occurrence counts
Produce causal graphs by dynamically triangulating a specified region of a (potentially curved) spacetime
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
Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function
Perform linear and nonlinear fits on data with error bars
Make a B-spline representation of a polynomial over an interval
Plot intrinsic curves in 3D
Modify a BSplineCurve object to have explicit settings for certain options
Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime
Plot fitted models together with their raw data
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
Find a cubic plane curve that passes through nine given 2D points
Generate a BSplineCurve primitive representing a circle
Find the best fitting line with respect to orthogonal distance
Fit multiple datasets with multiple expressions that share parameters
Compute properties of the tangent and normal lines to a curve at a given point
Create a parametric plot of a curve in the plane with direction indicated by arrowheads and color
Check the quality of a data fitting model by splitting the data into test and validation sets multiple times
Compute the correlation between the air pressure and wind speed changes during a hurricane
Compute the orthotomic of a curve
Trend line of a given set of data
Compute the Darboux vector field of a curve
Plot a curve defined by its curvature
Plot a curve defined by its curvature and torsion
Compute the inversion surface
Perform Bayesian linear regression with conjugate priors
Plot the composition of cycles having different radii, frequencies and phases
Fit a line to data points in n-dimensional space
Generate a surface twisting a curve
Compute the radius of aberrancy of a plane curve
Compute the generalized helicoid of a curve
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"
Compute the Cesàro equation for a planar curve
Get the osculating parabola of a plane curve
Get the osculating conic of a plane curve
The Dixon elliptic functions in Mathematica
Compute the curvature of a curve
Find the cusps of a curve
Find the corners of a curve
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
Compute the Björling formula
Apply smoothing and quantization to a raster image to make it more suitable for vectorization
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 turning number of a curve
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
Compute the polar radius of a regular polygon
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 the control points of a Bézier curve that interpolates a given set of points
Compute a translation surface parametrization
Compute the parametrization of a curve projected onto the unit sphere
Compute the regions on which an expression is monotonic
Compute the normal curvature of a curve on a surface
Compute the Whewell equation for a plane curve
Standard illuminants, colorimetric observer curves, and daylight components for working with visible light spectra and illumination, from Publication CIE 15:2004
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 the tangent developable surface of a curve
Compute the total signed curvature of a curve
Plots of Alfred Gray’s Surfaces collection
Get the Lucas cubic curve of a triangle
Plot the Frenet–Serret frame of a curve
A curved line between two points
Test if a piece of a graphic is a graphics primitive
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
Find the number of times the domain coloring of a function wraps around the color wheel along a given curve
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
Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot
Perform a pebble stone–like effect on an image
Generate a fractional Brownian surface
Obtain and visualize a decade of earthquake data in Japan
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
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 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
Create a smooth video animation of NDVI plant health NASA remote sensing imagery from NASA GIBS over a specified date range
Combine items into sublists based on their position
Create a dynamic interface for a three-dimensional curve being traced out by the tip of the vector
Compute the contingency table for a two- or three- column dataset or array
Allow a function to perform pure numeric computation by silently ignoring non-numeric values
Flatten keys in a nested association
Extract data from a plot image
Create an association indexed by a given key from a list of associations
Group small values in an association into a single category
Merge a list of associations using different merge functions for different keys
Remove outliers from a signal using a Hampel window
Give the elements that appear more than once in the input list
Convert a list of points into a list of substitution rules
Shorten lists to the same length by removing elements from the right
Shorten lists to the same length by removing elements from the left
Make a time series in full periods of specified granularity by padding with Missing
Group data according to the positionally corresponding values of other data
Filter values out of a time series object
Replace parts of an expression using replacement rules and a part specification
Map a function over the keys of an association, and collect or combine values in the event of key collisions
Shift a time series to start at 0 seconds
Plot the growth of lists and temporal data
Invert a zero-frequency shift
Consistently replace sensitive data values with UUIDs
Take elements after a specified element in an expression
Drop the smallest values from a list
An operator form of the Quantile function
Obtain topological information of polymers or biopolymers and other simple or complex structures
Crop uniform values from the edges of an array
Computes the Hedges g statistic measuring an "effects size" difference between two lists of data
Compute the pooled variance of multiple lists of data
Align multiple time series to begin at the same time
Resample data to correct for sampling bias
Create an operator that maps a function over data at a specified level
Similar to ReplaceAll, but parts of the expression can be ignored by providing a pattern
Compute the pooled standard deviation of multiple lists of data
Bootstrap a single statistic or a list of statistics
Return a discrete Dolph-Chebyshev window sequence
Get the hyperplane that best fits a set of points
Automatically add semantics to structured data
Transform a long time series into an ensemble of segments with aligned starts
Map a function over selected elements of a list, also passing in a running count of such elements
Map a function to pairs formed from a list and another function
Visualize the autocorrelation of data
Neural network layer that implements the LogSumExp operation on any level
Compute the mean of a list of numbers all taken to some power
Compute the total of a list of numbers all taken to some power
Bin data into hexagon tiles
Take elements before the specified element in an expression
Shift the zero-frequency term to the center of the spectrum
Generate a trig series that approximates a list of data
3D model of the Stanford Armadillo
Interpolate data using Akima's method or modifications of it
Remove redundant data from a time series
Transform data such that its covariance matrix is the identity matrix
Group elements of a list using patterns
Perform an out shuffle on a list
Perform an in shuffle on a list
Delete failures in an expression
Loblolly pine tree growth measurement
A spreadsheet-like operation to collate data by values common to specified columns, summarizing corresponding values in a specified column
Anonymize DICOM files by removing or replacing metadata that could lead to identification of a patient
Find row and column effects in a data matrix by repeatedly subtracting the median
Decompose a matrix into Independent Component Analysis matrix factors
Quickly cluster a point cloud by recursive separation
Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement
Model reference robust adaptive control design for MIMO LTI systems
A few robust backstepping tools
Nonlinear Cholesky Factorization for MIMO nonlinear systems
Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems
Fit an ellipse to a list of 2D points
3D model of a fan disk component
Evaluate a finite orthogonal polynomial series
Make a random scribble graphic
Software monad for Quantile Regression workflows
Make random mandala plots
Generate a biarc through two points
Revenue passenger miles flown by commercial airlines
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
Explore how the winds rapidly shift in direction during the monsoon season in India
Test whether evolution of an S combinator expression will halt
Generate random Rorschach tests
Goddard Mars Model 3 map of the gravity field of Mars
Get an association of the properties of the given parabola
Visualize the locations of wind farms in the USA together with the strength of the local wind
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 expressions for Dupin cyclide surfaces
Compute the Weingarten matrix of a surface
Compute the Gaussian curvature for a metric
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 tangent plane of a parametric surface
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
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