For more than 25 years, Mathematica has defined the state of the art in technical computing—and provided the principal computation environment for millions of innovators, educators, students, and others around the world. Widely admired for both its technical prowess and elegant ease of use, Mathematica provides a single integrated, continually expanding system that covers the breadth and depth of technical computing.

Benefits Wolfram Mathematica 10:
Automation. Automation is the key to productive computing. Unlike other systems, Mathematica uses intelligent automation in all its parts, the choice of the location algorithm to schedules and building user interfaces. As a result, you get high-quality results without the need for deep algorithmic knowledge, and even if the expert use, the result will be obtained more quickly.
Integrated universal platform. Specialized software and additional toolbox hinder creative work with new ideas and trends, it is worth even more than their nominal price. Mathematica system does not require the purchase of any additional packages. As it includes specialized functions of many technical areas, from computational biology to wavelet analysis, tightly integrated with the rest of the system.
The hybrid character-numerical methodology. Symbolic and numerical computation are traditionally considered separate to the detriment of users. In the Mathematica system are closely integrated, making it possible to build a unique hybrid methods for solving many tasks and ensures consistent results when combinations of values arbitrary precision.
Multiparadigmality language. No programming style is ideally suited for all tasks. Mathematica system differs from traditional programming languages, simultaneous support for multiple programming paradigms: procedural, functional, rule-based templates, or both.
Built-in information. Search operations for standard databases and updating them is not solely responsible disrupt your workflow. Mathematica system compares favorably with other technical computing platform that includes extensive collections of carefully drawn a wide variety of data types that are constantly being updated and expanded.
Workflow-based documents. You should not be necessary to use one program for processing data, the other for their visualization, and the third for their interactive presenting. Mathematica system provides all this for workflow, keeping all elements of the project, calculation, visualization, data, documentation, and even interactive applications-together in a uniquely flexible documents.

Features Wolfram Mathematica 10:
Calculation. Whether for numerical calculations with arbitrary precision, symbolic computation and visualization-Mathematica system is a very powerful computing tool using the system-wide technology to ensure reliability, ease of use and productivity. The computing power of Mathematica can be used directly as a weapon in some infrastructure, or through a standalone application in which it is integrated.
* Basic algorithms. The largest in the world close interweaving of mathematical capabilities and algorithms.
* The numerical calculations. Numerical calculations of industrial level of instant calculations to volume and complex mathematical calculations.
* Applied directions. Fully integrated, specialized technical functionality.
* Data acquisition and analysis. Universal solution for data acquisition, processing, analysis and visualization.
* Graphics and Visualization. Uniquely powerful integrated graphics and visualization.
Development. Develop tools, applications, documents, and infrastructure components using Mathematica's smooth working process, the unique symbolic language and progressive media editing code, achieving rapid turnover of small projects and record dates of performance on large systems.
* Programming and development. Uniquely powerful symbolic language, which is the basis of Mathematica.
* Interactivity and interface design. Dynamic interactive computing and instant creation interface.
Deployment. Irrespective of the shape of the final product, whether it's online documents, presentations, applications or industrial systems, the system of Mathematica can deploy the results of a wide range of formats locally or over a network. Equipped with a variety of ways to connect to external systems and work with them, Mathematica system is designed to maximize your productivity.
* Deployment and interaction. Immediate deployment of any scale.
* Efficiency and ease of use. Optimized workflow: from concept to results.

What's new in Mathematica 10 system.
In Mathematica 10, you can see all the new features, than any of the previous versions of Mathematica. Nice to see such a long curve of constantly accelerating the development process and realize that in Mathematica 10 added new features more than there were in the whole of Mathematica 1.
So what are the new features 10 Mathematica capabilities? It is a mixture of completely new areas and directions (for example, this - the geometric computation, machine learning and geographical computing) - together with extensive strengthening and expansion of existing areas. As well as a mixture of all sorts of objects that I have long planned to address our company, but the implementation of which required us to develop appropriate technologies, together with objects, understanding of the opportunities that our company came to me only recently.
When you first start Mathematica 10, there are some things that you will notice right away. Firstly, Mathematica 10 immediately establishes a connection directly to Wolfram Cloud (Cloud Wolfram). In contrast to the Wolfram Programming Cloud (Cloud Programming Wolfram) - or quickly exiting Mathematica Online (Mathematica Online) - Mathematica 10 does not run its own interface or cloud computing. Instead, it supports all the advantages of running directly on your local computer - but it is connected to Wolfram Cloud (Cloud Wolfram), so it can have the files stored in the cloud, to work with the API cloud and other cloud features, and it has access to cloud parts Wolfram Knowledgebase (Knowledge Base Wolfram).
If you - "acting» Mathematica user, you will notice some changes in the beginning of the document (laptop) Mathematica 10. Now everywhere there are auto-entered teams - for the values of the options function strings - everywhere. There is also a drop down the menu, which immediately provides function templates or documentation on them. There is also - at the request of the user community - the possibility of multiple undo (Undo). It is extremely difficult to determine how and when acceptable correct lifting computations and other operations in Mathematica, however, Mathematica 10 this problem - multiple undo - solved.
Another noticeable change in Mathematica 10 is that charts and graphs are, by default, the new, improved form (Of course, you can return to the previous form with the appropriate PlotTheme option values).
And for many other areas it is only the tip of the iceberg. The invisible part of the iceberg is a new, very powerful mechanism for changing the "graphical order" - when, instead of many individual options you only have to define a common theme for the graphics, for example, "web" (web), "minimal" (minimum) or "scientific" (Research ).

Mathematica 10.4.1
Mathematica 10.4.1 addresses several critical issues identified in recent releases.
Provides workaround for a bug in Mac OS X 10.11.4 that could prevent Mathematica from being launched under default Gatekeeper policies
Resolves OpenGL issues that were causing graphics instability and failures, especially with regard to Graphics3D and Manipulate rendering, rotation, and dynamics
Addresses activation problems for Linux users who may have experienced difficulties
Resolves slowdown when images are directly evaluated in the front end
Restores expected behavior for users experiencing errors when launching multiple notebooks on Windows
Corrects evaluation errors returned by ListPlot [Table[…]] and CoefficientRules
Restores behavior of Clear Formatting menu item
Show now works with GeoGraphics objects
Stability improvements to Code Assist functionality
Refines support and documentation for DateFormat when using Interpreter
For Japanese Edition users, updated dialog messages returned when moving a notebook from the cloud to the desktop

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