Functions
or data, discrete objects, diagrams, images, or
annotations--Mathematica's visualization engine powers
professional-quality static or dynamic representations, automatically
optimizing the balance between computational efficiency and visual
sophistication.
Features:* Built-In Image
Processing & Analysis:Introducing a new generation of
industrial-strength image processing, built into Mathematica's
integrated algorithm, programming, and interface platform.
*
Built-In Parallel Computing: Take advantage of the latest multicore
processors with Mathematica's new automatic parallel computing
technology--seamlessly parallelizing your computations.
* Visualization & Graphics*
Automated Charting Graphics: Algorithmic information visualization
takes a major step forward by using Mathematica's symbolic
architecture, flexible graphics, and automatic computational aesthetics.
*
New Graphics Primitives:Tubes, rounded rectangles, and 3D arrows join
the powerful primitives integrated into Mathematica's graphics system.
* Vector
& Field Visualization: Create automatically optimized
visualizations of vector fields and streamlines--for fluids,
electrodynamics, and other fields.* Comprehensive Spline
Support:The world's most general splines, in any number of dimensions,
fully integrated into computation and graphics.
* High-Impact Adaptive Visualization
* Automated Computational Aesthetics
* Fully Automated Graph Layout
* Real-Time 3D Graphics
* Automated Table Layout
* Dynamic Interactivity
* Industrial-Strength Boolean Computation
*
Apply high-performance Boolean analysis, optimization, and verification
to systems with thousands of variables--all integrated into the
Mathematica workflow.
* Discrete Calculus: Solve a new generation of
discrete problems with the first-ever comprehensive system for discrete
symbolic calculus.
* Delay Differential Equations:DDEs are now an
integral part of Mathematica's automatic numerical differential
equation solving capabilities.
* Differential & Difference Roots:
A breakthrough allows direct handling of implicit solutions of
differential and difference equations--dramatically generalizing the
concept of special functions.* Transcendental Roots:Introducing the first-ever systematic algorithmic treatment of roots of transcendental equations.
* Finite Group Theory: Data and algorithms on finite groups are now integrated into the Mathematica system.
*
Integer Sequence Analysis:Mathematica 7 introduces a suite of new
approaches to the analysis and recognition of integer sequences.
*
New Number Theory Capabilities:New aspects of analytic, multiplicative,
and additive number theory are now available in computational form.
*
New Categories of Special Functions:q Functions, L Functions, and a
range of other functions join the world's largest collection of special
functions.
* Enhanced Fourier Analysis:Explicit Fourier series are now fully integrated into Mathematica's symbolic capabilities.
* Integrated Geometric Computing
* Combinatorial Optimization
* Constrained Nonlinear Optimization
* Equational Theorem Proving
