Is Mathematica Software Free

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Wolfram Mathematica is a software system with built-in libraries for several areas of technical computing that allow machine learning, statistics, symbolic computation, data manipulation, network analysis, time series analysis, NLP, optimization, plotting functions and various types of data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other programming languages. It was conceived by Stephen Wolfram, and is developed by Wolfram Research of Champaign, Illinois.[8][9] The Wolfram Language is the programming language used in Mathematica.[10] Mathematica 1.0 was released on June 23, 1988 in Champaign, Illinois and Santa Clara, California.[11][12][13]

Mathematica is split into two parts: the kernel and the front end. The kernel interprets expressions (Wolfram Language code) and returns result expressions, which can then be displayed by the front end.

The original front end, designed by Theodore Gray[14] in 1988, consists of a notebook interface and allows the creation and editing of notebook documents that can contain code, plaintext, images, and graphics.[15]

There is also a plugin for IntelliJ IDEA-based IDEs to work with Wolfram Language code that in addition to syntax highlighting can analyze and auto-complete local variables and defined functions.[17] The Mathematica Kernel also includes a command line front end.[18]

Capabilities for high-performance computing were extended with the introduction of packed arrays in version 4 (1999)[21] and sparse matrices (version 5, 2003),[22] and by adopting the GNU Multiple Precision Arithmetic Library to evaluate high-precision arithmetic.

Version 5.2 (2005) added automatic multi-threading when computations are performed on multi-core computers.[23] This release included CPU-specific optimized libraries.[24] In addition Mathematica is supported by third party specialist acceleration hardware such as ClearSpeed.[25]

In 2002, gridMathematica was introduced to allow user level parallel programming on heterogeneous clusters and multiprocessor systems[26] and in 2008 parallel computing technology was included in all Mathematica licenses including support for grid technology such as Windows HPC Server 2008, Microsoft Compute Cluster Server and Sun Grid.

As of Version 14, there are 6,602 built-in functions and symbols in the Wolfram Language.[28] Stephen Wolfram announced the launch of the Wolfram Function Repository in June 2019 as a way for the public Wolfram community to contribute functionality to the Wolfram Language.[29] At the time of Stephen Wolfram's release announcement for Mathematica 13, there were 2,259 functions contributed as Resource Functions.[30] In addition to the Wolfram Function Repository, there is a Wolfram Data Repository with computable data and the Wolfram Neural Net Repository for machine learning.[31]

Communication with other applications can be done using a protocol called Wolfram Symbolic Transfer Protocol (WSTP). It allows communication between the Wolfram Mathematica kernel and the front end and provides a general interface between the kernel and other applications.[33]

Wolfram Research freely distributes a developer kit for linking applications written in the programming language C to the Mathematica kernel through WSTP using J/Link.,[34] a Java program that can ask Mathematica to perform computations. Similar functionality is achieved with .NET /Link,[35] but with .NET programs instead of Java programs.

Mathematica is also integrated with Wolfram Alpha, an online answer engine that provides additional data, some of which is kept updated in real time, for users who use Mathematica with an internet connection. Some of the data sets include astronomical, chemical, geopolitical, language, biomedical, airplane, and weather data, in addition to mathematical data (such as knots and polyhedra).[49]

BYTE in 1989 listed Mathematica as among the "Distinction" winners of the BYTE Awards, stating that it "is another breakthrough Macintosh application ... it could enable you to absorb the algebra and calculus that seemed impossible to comprehend from a textbook".[50] Mathematica has been criticized for being closed source.[51] Wolfram Research claims keeping Mathematica closed source is central to its business model and the continuity of the software.[52][53]

Mathematica was the first exhibition to be designed by the Eames Office, produced through sponsorship by IBM. One of the first immersive exhibits dedicated to mathematics, its mechanical and static displays teach people about the abstract qualities of mathematics in a non-mathematical way--through direct interaction and visual storytelling. This interactive demonstrates Kepler and Newton's planetary and gravitational theories.

The key to the whole process is to use the least significant bit in each color channel of each pixel as a place to hide information. We start by clearing that bit to zero regardless of its current value by ANDing each byte with the binary word 11111110.

We then flatten that list and pad it with zeros to equal the total number of pixel channel values in which we are able to hide information (image width * height * 3 for RGB images). Now that we have the right number of bits, we reshape the data into the dimensions of the image and add it on to the carrier image with the cleared bits.

You must export the image in lossless format like PNG, in the original image size. Any conversion to a lossy format, like JPG, or rescaling will destroy information in the low-value bits where we are storing our secret message.

In fact, on average, half the pixel channels are the same as the original image, around 1/4 of the pixel channels are one bit lower than the original, and 1/4 are one bit higher, so it is closer to the original than the truncated version.

This gives us a solution to transmitting any information, as long as we can convert it to 8-bit ASCII first. Mathematica provides a set of tools for this, so for extended-character-set transmission we can use this:

This string is only around 32,000 characters, thanks to JPG compression, somewhat smaller than the Alice text, and so, amazingly, it is easy to hide in the carrier image. We can export the image to any lossless format; the JPG encoding of the secret part is only important when we come to interpret the decoded string.

This is much cleaner with a SparseArray implementation. Also, it works. For some reason the code as supplied by the original article crashes my kernel (another user reported the same problem). Not sure why. Still debugging.

Dear Prof.

I come from China, my major is theory physics, so the Mathematica is very useful.

Recently, i meet a small question. All the captions (including the axis labels) for 3D figs in Mathematica are horizontal. How to change captions to be parallel to the axis?

This work is pretty similar to some of the stuff I did for my masters thesis:

This could be made better by employing a random walk, that is, the location of LSBs used to encode the message should be distributed pseudo-randomly throughout the image. This is usually accomplished by using a seeded PRNG to generate an ordered list of pixel locations. The seed then becomes a shared key that can letter be used, in conjunction with the cover-object, to retrieve the encoded message.

at First grate Post .

Could this Methode also be used For Audio?

ie. you could change the lsb of every sample in the Audiofile

and I have a question I is there a way to import the sample code to mathematica without typing it by hand ?

@Sam

The hidden data can only be 1/8 the size of the carrier data. The only way that I managed to fit an image of the same size was by benefiting from the compression provided by JPEG. Since the method described above does not survive compression, you would need to hide an uncompressed image containing an image, and so that image would be about 1/8 of the sizeof the carrier (about 1/(2Sqrt[2]) of the length).

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