Version 1.0 (6/23/2019).

]]>This package contains routines for integrating and plotting solutions of systems of nonlinear ordinary differential equations. The package runs under Mathematica. The Mathematica code in the package is fully documented. There are 21 tutorial notebooks to give you a quick introduction to various features of DynPac. The titles of those tutorials give a brief summary of the scope of the package: Introduction to DynPac; Integration and Plotting (2D); Integration and Plotting (3D); Equilibrium and Stability; Local Solution Near Equilibrium Point; Comparison of Integration Methods; Periodic Solutions of Autonomous Systems; Periodic Solutions of Driven Systems; Orbit Trapping and Index Theory; Phase Portraits; Bifurcation Sequences; Liapunov Functions; Coloring, Dashing and Filling; The Lorenz Equations; Animating the Lorenz Attractor; Graph Labels; Lag Equations; Iterated Maps; A Single First-Order Equation; Transformations of Systems; Choosing a Time Step. A number of sample applications are included in addition to these tutorials.

]]>In addition EconMult includes PopulationGrowth, a package including standard population models.

]]>`ElementMesh`

objects. ]]>WuRittSolva is a standard application package for computer algebra system Mathematica(TM) developped by Liu Hua-Shan for mechanization mathematics education purpose at present. It introduces the Wu-Ritt Well-Order Principle and Zero-Decompostion Theorem as its key theory considering points, and has implemented the most operation for normal polynomials processing, such as fixing CLASS, MAIN VARIABLE, SEPARANT, POLYNOMIAL RANK, BASIC SET, CHARACTERISTIC SET and so on. What is more, it supplies smart functions for elementary geometry theorems proving, promising theorem proving in a smart way.

It strongly advizes that the polynomials appearing for functions in WuRittSolva are belong to polynomial ring K[u_1,u_2,...,u_n;x_1,x_2,...,x_n] such that the results may be more perfect for understanding.

This work is mainly for educational purposes, for the use of the WuRitt characteristic set method.

Up to now, the main components in mechanzation mathematics that have been implemented in WuRittSolva are only the basic algorithms of characteristic set method and also simple geometry theorem proving functions. This package WuRittSolva, however, shall introduce more algorithms for relevant subjects, including algebraic varities, simplifying, PDEs reducing, algebraic curves and surfaces, and differential characteristic set methods with corresponding objects.

also see http://library.wolfram.com/infocenter/MathSource/5716/.

]]>With RhinoLink you can:

- script Rhino with Wolfram Language code
- create Grasshopper components that encapsulate Wolfram Language code
- control Rhino content with Wolfram Language interfaces
- source Rhino geometry from Mathematica
- include Wolfram Language code directly in Grasshopper structures
- use Rhino as a geometry server from Wolfram Language

`Import`

to be able to import many image formats typically used in biology, particularly in microscopy. It interfaces with the BioFormats library. ]]>Gives informative feedback in form of an FailureObject when there are too litte, or too many or wrong arguments.

]]>`Graphics3D`

objects using the POVRay ray-tracing software. ]]>The package file, NotebookBackup.m, should be saved to the Mathematica user "Applications" folder; for Unix systems (including OS X) this is ~/.Mathematica/Applications. In Windows Vista/7 it's something like C:\Users\[you]\AppData\... The package can then be loaded by entering <<NotebookBackup` into Mathematica. More instructions are inside the file; note that it may need to be configured for the particular system (paths, etc.) before being used. Mathematica 7+.

]]>Features:

Convenience wrapper for fitting models to arbitrary-dimensional data with Gaussian errors Handles both real-valued and discrete-valued model parameters Uses Metropolis algorithm with decaying exponential proposal distribution Progress monitor; support for auto save/resume

Files:

mcmc.m: Package file mcmc_demonst.nb: Demonstrations and documentation

]]>■ additional tools in interactive mode of the Mathematica system ■ additional tools of processing of expressions in the Mathematica system ■ additional tools of processing of symbols and strings in the Mathematica ■ additional tools of processing of sequences and lists in the Mathematica ■ additional tools extending the standard Mathematica functions or its software as a whole (the control structures of branching and loop, etc.) ■ definition of procedures in the Mathematica software ■ definition of the user functions and pure functions in the Mathematica software ■ tools of testing of procedures and functions in the Mathematica software ■ headings of procedures and functions in the Mathematica software ■ formal arguments of procedures and functions ■ local variables of modules and blocks; tools of their processing ■ global variables of modules and blocks; tools of their processing ■ attributes, options and values by default for arguments of the user blocks, functions and modules; additional tools of their processing ■ some useful additional tools for processing of blocks, functions and modules ■ additional tools of the processing of internal Mathematica datafiles ■ additional tools of the processing of external Mathematica datafiles ■ additional tools of the processing of attributes of directories and datafiles ■ additional and some special tools of processing of datafiles and directories ■ additional tools of operating with packages and contexts ascribed to them ■ a set of procedures for computer research of one–dimensional cellular automata in the Mathematica system and simplification of programming of tools for solution of various problems in this field.

Tools of the package are provided with usages, whereas the detailed descriptions of the tools with examples and features of their applications can be found in books "V.Z. Aladjev, V.K. Boiko, M.L. Shishakov. Art of programming in the Mathematica software. Second edition.– USA: Raleigh, NC, Lulu Press, 2016, eBook (PDF), ISBN: 9781365593918, 740 p." and "V.Z. Aladjev, V.K. Boiko, M.L. Shishakov. The Art of Programming in the Mathematica System. 2nd edition.– USA: Raleigh, NC, Lulu Press, 2016, ISBN: 9781365560736, 735 p.".

The package, is mostly for people who want the more deep understanding in the Mathematica programming, and particularly those the Mathematica users who would like to make a transition from the user to the programmer, or perhaps those who already have some limited experience in the Mathematica programming but want to improve their possibilities in the system. The expert Mathematica programmers will probably find an useful information too.

Archive with the package contains 5 datafiles, namely: MathToolBox.cdf, MathToolBox.m, MathToolBox.mx, MathToolBox.nb, MathToolBox.txt. Such approach allows to satisfy the user on different operational platforms. The websites https://yadi.sk/d/qsylTlVC342JrF and https://yadi.sk/d/gIRCDwLA342Jn5 are mirrors for the basic website.

]]>■ additional tools in interactive mode of the Mathematica system ■ additional tools of processing of expressions in the Mathematica system ■ additional tools of processing of symbols and strings in the Mathematica ■ additional tools of processing of sequences and lists in the Mathematica ■ additional tools extending the standard Mathematica functions or its software as a whole (the control structures of branching and cycle, etc.) ■ definition of procedures in the Mathematica software ■ definition of the user functions and pure functions in the Mathematica software ■ tools of testing of procedures and functions in the Mathematica software ■ headings of procedures and functions in the Mathematica software ■ formal arguments of procedures and functions ■ local variables of modules and blocks; tools of their processing ■ global variables of modules and blocks; tools of their processing ■ attributes, options and values by default for arguments of the user blocks, functions and modules; additional tools of their processing ■ some useful additional tools for processing of blocks, functions and modules ■ additional tools of the processing of internal Mathematica datafiles ■ additional tools of the processing of external Mathematica datafiles ■ additional tools of the processing of attributes of directories and datafiles ■ additional and some special tools of processing of datafiles and directories ■ additional tools of operating with packages and contexts ascribed to them ■ a set of procedures for computer research of one–dimensional cellular automata in the Mathematica system and simplification of programming of tools for solution of various problems in this field.

All tools of the package are provided with usages, whereas the detailed descriptions of the tools along with typical examples and features of their applications can be found in book "V.Z. Aladjev, V.K. Boiko, M.L. Shishakov. The Art of Programming in the Mathematica System. Second edition.- USA: Seattle, Lulu Press, 2016, ISBN: 9781365560736, 735 p.".

The package, is mostly for people who want the more deep understanding in the Mathematica programming, and particularly those the Mathematica users who would like to make a transition from the user to the programmer, or perhaps those who already have some limited experience in the Mathematica programming but want to improve their possibilities in the system. The expert Mathematica programmers will probably find an useful information too.

Archive with the package contains 5 datafiles, namely: MathToolBox.cdf, MathToolBox.m, MathToolBox.mx, MathToolBox.nb, MathToolBox.txt. Such approach allows to satisfy the user on different operational platforms. The websites https://yadi.sk/d/3KXbdr47zPPad and https://yadi.sk/d/O_8PzFrTzPQhh are mirrors for the basic website.

]]>DebugTrace uses no special hooks into Mathematica, instead it modifies the source code as it is presented to the kernel, to add the necessary hooks to allow the debugger to operate. This process imposes much less run-time overhead than TraceScan (used by M-Debug).

]]>Current version adds support for exporting Points (currently only for point-only Graphics3D data).

]]>It provides functions registering arbitrary tests for values of options, of given symbols, with names matching given patterns. Test of relations between different options can be also registered.

Registered tests can be automatically used in various different strategies of option value testing. Tests can be performed while evaluating body of function when option values are accessed, or they can be performed upfront while matching function pattern. When tests fail - function can either return a value denoting failure, or can remain unevaluated.

]]>The package also contains:

- Generic classes for manipulating trees of objects and displaying them
- Automatic interface generation for displaying and editing objects
- Functions for doing asynchronous evaluation easily using parallel kernels (MSync)
- Tools for accessing Couchbase, serializing and deserializing objects.

If you use FormFlavor, please cite https://arxiv.org/abs/1606.00003

]]>– additional tools in interactive mode of the Mathematica system – additional tools of processing of expressions in the Mathematica system – additional tools of processing of symbols and strings in the Mathematica – additional tools of processing of sequences and lists in the Mathematica – additional tools extending the standard Mathematica functions or its software as a whole (control structures branching and cycle, etc.) – definition of procedures in the Mathematica software – definition of the user functions and pure functions in the Mathematica software – tools of testing of procedures and functions in the Mathematica software – headings of procedures and functions in the Mathematica software – formal arguments of procedures and functions – local variables of modules and blocks; tools of their processing – global variables of modules and blocks; tools of their processing – attributes, options and values by default for arguments of the user blocks, functions and modules; additional tools of their processing – some useful additional tools for processing of blocks, functions and modules – additional tools of the processing of internal Mathematica datafiles – additional tools of the processing of external Mathematica datafiles – additional tools of the processing of attributes of directories and datafiles – additional and some special tools of processing of datafiles and directories – additional tools of operating with packages and contexts ascribed to them

The package, is mostly for people who want the more deep understanding in the Mathematica programming, and particularly those the Mathematica users who would like to make a transition from a user to a programmer, or perhaps those who already have some limited experience in the Mathematica programming but want to improve their possibilities in the system. The expert Mathematica programmers will probably find an useful information too.

The archive contains five datafiles, namely: AVZ_Package.cdf, AVZ_Package.mx, AVZ_Package.m, AVZ_Package.nb, Archive.pdf. In particular, for perusal of the package it is possible to use or file AVZ_Package.cdf with CDF Player, or files AVZ_Package.m, Archive.pdf with any word processor, or Acrobat Reader. Similar approach allows to satisfy the user on different operational platforms.

]]>`compress`

command, i.e. `.Z`

files. ]]>`DivergentColorMaps.m`

is an implementation of Kenneth Moreland's
'Diverging Color Maps for Scientific Visualization' written for the
scientific computing software Mathematica. See
http://www.kennethmoreland.com/color-maps/

for more information on the color maps. See

http://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf

for the algorithms that are implemented here. Examples of usage can be found in the included notebook, as well as at

]]>The package MPT (Mixing Parameter Tools) allows to extract the lepton masses, mixing angles and CP phases from the mass matrices of the neutrinos and the charged leptons. Thus, the running of the neutrino mass matrix calculated by REAP can be translated into the running of the mixing parameters and the mass eigenvalues.

]]>- the calculation of arbitrary Kronecker products;
- an interface to the group catalogues within GAP, e.g. the SmallGroups library with all discrete groups up to order 2000 (with the exception of groups of order 1024) and many more;
- calculation of Clebsch-Gordan coefficients (They are calculated on demand and are stored internally, in order to improve the performance);
- the possibility to reduce covariants to a smaller set of independent covariants;