Community Profile

# John D'Errico

### Retired

Last seen: Today Attivo dal 2006

Followers: 1   Following: 0

A retired applied mathematician, consultant, sometime mechanical engineer, numerical analyst, woodworker, bridge player. Please DON'T contact me, as too many students then decide I am their personal consultant if I allow it. I won't do consulting by mail.

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randpoly
Generate N uniformly distributed points inside a supplied polygon (or polyshape)

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allcrossings
Locate all intersections of a pair of functions f1 and f2, on a finite domain

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num2bin
Expression of all numbers in a variety of binary forms.

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A limited set of basic number theoretic tools
Various tools for working with integers and their factors, primes, congruences, etc.

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minkowskiSum
Compute the Minkowski sum of any two polygons or polyshapes, convex or concave.

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randFixedLinearCombination
Uniform random samples over a n-dimensional hyper-rectangle, subject to a linear equality constraint

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Eigenshuffle
Consistently sorted eigenvalue and eigenvector sequences

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Divisors of a number, perfect, amicable, and sociable number
Tools to work (and play) with the divisors of a number

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HPF - a big decimal class
High precision floating point arithmetic, a new class written in MATLAB

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Partitions of an integer
List all partitions of an integer

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The permanent of any matrix (square or not)
The permanent of any matrix, square or not

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SLM - Shape Language Modeling
Least squares spline modeling using shape primitives

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The Fibonacci Sequence
Efficient computation of Fibonacci and Lucas numbers

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base2base(Nstart,bstart,bend)
Numeric base conversion between any two numeric bases, for any size integer.

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polyfitn
Polynomial modeling in 1 or n dimensions

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Optimization Tips and Tricks
Tips and tricks for use of the optimization toolbox, linear and nonlinear regression.

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movingstd & movingstd2
A (fast) windowed std on a time series (or array)

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Surface Fitting using gridfit
Model 2-d surfaces from scattered data

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Batched partitioned nonlinear least squares
Speed up when you have a very large number of nonlinear least squares problems, but with one model

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export_search_path
Allows the user to transfer your search path from an old MATLAB release to a new release

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Adaptive numerical limit (and residue) estimation
Numerical extrapolation of a limit (with an error estimate) from only function values

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Variable Precision Integer Arithmetic
Arithmetic with integers of fully arbitrary size. Arrays and vectors of vpi numbers are supported.

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Symbolic Polynomial Manipulation
Symbolic polynomial manipulation as an exercise in OOP

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Numerical derivative of an analytically supplied function, also gradient, Jacobian & Hessian

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A suite of minimal bounding objects
Suite of tools to compute minimal bounding circles, rectangles, triangles, spheres, incircles, etc.

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nearestSPD
Finding the nearest positive definite matrix

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distance2curve
Find the closest point on a (n-dimensional) curve to any given point or set of points

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Vectorized & fully sparse 1-d, 2-d, & 3-d integrated gradients

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Inhull
Efficient test for points inside a convex hull in n dimensions