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Thomas Wieder

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Historische Programme und Notizen (ca. 1993–2001). Nicht mehr gepflegt, Bereitstellung „as is“ (ohne Support).
Die Materialien dienen Dokumentationszwecken und – wo sinnvoll – als Referenz zur Nachvollziehbarkeit früherer Arbeiten. 

Meine Programme 

Mathematik / Mathematics


1. MULTISELECTION

Generates multiselections from multisets.

Files: Maple worksheet Multiselection.mw   Maple program Multiselection.mpl

Reference: T. Wieder, Generation of all possible multiselections from a multiset,


2. ENUM

Generates contingency tables with given shape and row and column sums.

Files: Maple worksheet enum.mw   Maple program enum.mpl


3. MULTICHOOSE and MULTISUBSET

Generate multiselections from multisets.

Files: Maple worksheet for program multichoose.mw  Maple program multichoose.mpl  http://www.maplesoft.com/applications/  http://www.maplesoft.com/email/maplereporter/apr10/

Links: Maple worksheet multisubset.mw  * Maple program multisubset


4. HANKEL

Fortran program to evaluate the Hankel transform (legacy implementation). 

HANKEL

Evaluate the Hankel transform (Fortran).

Files: Numerical Hankel transform by the Fortran program HANKEL;

Reference (please cite):  T. Wieder, Transactions on Mathematical Software (TOMS) 25 (1999), 240 - 250.


5. OPTM0

Selection of optimal submultisets from a multiset.

Files: OPTM0.pdf   OPTM0.f95   simulated_anneal.f95   LIMITS.f95   AUXILIARY.f95   OPTM0.in   OPTM0.out


6. MULTISELECTION_FROM_MULTISET

Another Maple program for multiselections from multisets (one after the other):

Files: Multiselection (2nd approach)   next_ordered_fixed_length_partition.mpl   Multiselection_From_Multiset.mw


Röntgenbeugung / X-Ray Diffraction


1. DMRM

Two-dimensional deconvolution by Siska's method (Fortran).

Files: DMRM


2. GDSF

Fortran program to evaluate the Generalized Debye Scattering Formula (legacy implementation). 

Files: GDSF

Reference: T. Wieder, A generalized Debye scattering formula and the Hankel transform;

Zeitschrift für Naturforschung  54a (1999), 124 - 130.


3. SBGBBG

X-ray Residual Stress Determination (Fortran).

Files: SBGBBG 
External link:  SBGBB (Crystallography source code museum)


4. WVM

Lattice Constants in Thin Films (Fortran).
Files:  WVM

Reference: T. Wieder, WVM: A computer program for the determination of lattice parameters and strains in thin films;

Computer Physics Communications 96 (1996), 53 - 60.

Materialia (misc.) 


1) MacMahon multiset k-combinations 

Maple code to calculate the number of k-combinations from a multiset according to MacMahon’s formula. 

Files: Maple program MacMahonsMultisetFormula.mpl   Maple program Number_of_k_Combinations.mpl


2) Surface spherical harmonics (n-dimensional) 

Compute n-dimensional surface spherical harmonics (definition after H. Bateman). 

Files: Maple worksheet SSHY.mw   Maple program Y.mpl  Y.pdf 
Link:  http://www.maplesoft.com/email/maplereporter/July09/

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Begonnen: 1997 • Letzte Änderung: 28.01.2026

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