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Code Listing by Jonas Lundgren

Code 1-10 of 10

### Stirling numbers 1.0 - Jonas LundgrenTools / Development Tools

Nothing fancy here. Just the recurrence relations and double loops.
It seems to be the most efficient solution for this problem.

### Alpha shape volume 1.0 - Jonas LundgrenTools / Development Tools

Computes the volume/area of the basic alpha shape for a 3D/2D
point set. The code uses delaunayn for Delaunay triangulation.
Can also produce a simple plot.

### Calculate pi decimals 1.0 - Jonas LundgrenTools / Development Tools

PI2STR calculates pi decimals with Machin's formula.

S = PI2STR(M) gives pi truncated to M decimals for M < 2^(53/2).
Machin's formula, pi/4 = 4*acot(5) - acot(239), and a number system with base 10^14 is used.

The...

### ICHOOSE 1.0 - Jonas LundgrenTools / Development Tools

ICHOOSE(N,K) gives all combinations of choosing K indices
from the set 1:N without order and without repetitions.

EXAMPLE:
ind = ichoose(4,2);
v = 'ABCD';

ICHOOSE...

### TSPSEARCH 1.0 - Jonas LundgrenTools / Development Tools

Heuristic method for the Traveling Salesman Problem (TSP)
A number of nearest neighbour tours are generated from randomly selected starting points. Each tour is improved by 2-opt heuristics (pairwise exchange of edges) and the best result is...

### Fractal curves 1.0 - Jonas LundgrenTools / Development Tools

Dragon Curve
Gosper Flowsnake Curve
Hexagon Molecule Curve
Hilbert Curve
Koch Snowflake Curve
Sierpinski Cross Curve
Sierpinski Triangle Curve

### ZEROBESS 1.0 - Jonas LundgrenTools / Development Tools

Pretty fast code for zeros of Bessel functions of 1st and 2nd kind
and for zeros of the derivatives. The Newton-Raphson method is used
with the initial guess predicted from previously computed zeros.

### ALTSUM 1.0 - Jonas LundgrenTools / Development Tools

Estimates the sum of an alternating series. Three linear methods for convergence acceleration are implemented.

EXAMPLES:

% log(2) = 1 - 1/2 + 1/3 - 1/4 + ...
altsum(1./(1:20))
ans =
0.693147180559945

### KP01 1.0 - Jonas LundgrenTools / Development Tools

[FMAX,X] = KP01(W,P,C) solves the combinatorial optimization problem

maximize F = SUM(P.*X),
subject to SUM(W.*X) <= C,

where the solution X is a binary vector of 0s and 1s. W and P are vectors
of weights and...

### DQUAD 1.0 - Jonas LundgrenTools / Development Tools

Evaluation of double integrals by iterated integration. This is a
simple extension of DBLQUAD to non-rectangular regions of the types

D1 = {(x,y): a < x < b, c(x) < y < d(x)},

D2 = {(x,y): a(y) < x <...