Mathematica 9 新增400多个函数，对57个应用领域的功能进行了增强或改进。功能亮点包括：
* 新增 Wolfram 预测界面，这是对 Mathematica 导航和查询功能的极大改进，也是 Wolfram 所倡导的 Compute-as-You-Think（让计算随心所欲）理念的一部分
* 新增图与网络分析功能，包括 Facebook、LinkedIn、Twitter 等社交网站的内置链接
* 高度集成的单位支持，包括在图形和数值以及符号式计算中的自由格式语言输入、单位换算和量纲一致性检查
* 新╳增数据科学、概率和统计的重要功能，包括生存性和可靠性分析、马尔可夫链、排队论、时间序列以及随机微分方程等
* R 语言完全集成入 Mathematica 的工作流程♂，从而实现数据和代码的无缝交流
* 三维立体图像处理以及核外技术，将性能拓展到非常大的二维和三维图像及视频
* 集成的模拟和数字信号处理
引入 Wolfram 预测界面通过预测您下一步的操作，优化工作流中浏览和探索各种功能。
下一步计算建议栏
某个计算一】旦完成，您将得到关于↘下一步操作的最优化建议。按下按钮即可运行一个新函数，或者弹出互动向导。这是一个『全新的界面模式，帮助您在 Mathematica 系统
基于语境的输入助手
与 Mathematica 完美的文档系统集成，实现对 Mathematica 各种函数、选项和其他元素的智能化自动补全和突出显示。
企业版 CDF 的部署
全新的 Mathematica 企业版 具备直接的 CDF 部署功能，以及运行时间的实ㄨ时数据和其他增强功能。预览模式模拟 CDF Player 和 Wolfram Player Pro。
提供对随机过程的全面支持
mathematica9.0提供对随时间随机演变的系统进行建模的广义框架，并且支持仿真、估计、切片 分布和均值以及协方差函数。
马尔可夫链和队列
mathematica9.0自动支◥持离散和连续时间马尔可夫链以及队列网络。计算性能度量和设计诸如呼叫中心或者服务器结构等应用的过程。
时间序列和随机微分方程
mathematica9.0从数据自动估计时间序列模↘型并根据模型进行预测。计算金融、信号处理等领域的随机微分方程的符号式属性。
可靠性分析
全套可靠性分析工具，具有可靠性框图、故障树、备用模型和重要性测量的功能。
生存分析
mathematica9.0可以广泛支持各种删截数据、优化的参数式和非参数式生存模型建模框架，以及各种广义★假设检验函数。
增强的概率和统计功能
扩展了概率和统计功能，包括依赖性测量、全ξ新的假设检验、加权数据和全新的参数式和导出布。
增强的图与网络功能
全新和优化的随机图分布，网络流功能和性能的全面改进。
与 R 的内置集成
mathematica9.0把 R 代ζ 码集成到您的 Mathematica 工作流中，在 Mathematica 和 R 之间交换数据，并且从 Mathematica 内部执行 R 代码。包含 R runtime 的自动下载功能。
三维立体图像处理
mathematica9.0图像处理引擎现可支持三维立体图像处理，比如像素操作、局部滤波和形态学。包括三维表面和立体渲染。
全新高级图像处理算法
使用特征跟踪、面部检测、图像增强和其他高度优化的算法来执行图像的全面分析。
交互式图像助手
探索图像处理功能的全新方式，具有点击「式访问的功能—所有这些都能在笔记本环境中实现。
大型图像支持
使用核外技术，Mathematica 9 在相当大的二维和三维立体图像中也具有▅卓越的性能。
HDR 图像支持
mathematica9.0导入高动态范围（HDR）图像和颜色配置文件数据，以及改进的 JPEG 和 PNG 格式的支持╲。
集成模拟和数字信号处理
信号（声音、图像和多维数据）的滤波和分析，以及交互式滤波器的即时设计和部署。支持 SystemModeler。
增强的控制系统功能
mathematica9.0创建包括时间延迟和代数方程的→模型，并且可以与 Mathematica 的全套控制系统工具一起使用。自动创建 PID 控制器，以满足您的设计标准。
微分方程求解方』面的主要改进
求解具有断点的微分方程、混合离散/连续动态系统、参数式微分方程和微分代数方程。
内置符号式张量
有效支持各种符号式数组，从简单的向量到具有任意阶数、维度和对称性的数组。
全新和改进的核心算法
全新的特别函数、线性和多项式代数的增强功能和系统范围内的重大性能改进。
其他全新改进功能
向量分析支持，包括向量微积分和坐标Ψ 系统
内置商业数据/日历支持
扩展的可视化和控件功能
面板和控件的高度自定义的互动量规，全系统范围内支持图线和图表的自动图例，以及面向信号处理的全新专业可视化功能。
全新导入和导出△格式
mathematica9.0
广泛支持诸如分子生物学、高动态范围图像处理和化学光谱学等各种领域中的全新的数据格式。
全面的网〓页访问支持
全面的客户端网页访问，以与远程服务器交换数据，与网页 API 交互。AJAX 样式编程的异步接。
全新设计的幻灯片模板
mathematica9.0具有新样式模板的幻灯片演示的更新外观，支持【背景图像。
其他全新改进功能
底层输入和输出流操作支持
增强了特色范例和学习资源等文档内容
重◇新设计的默认样式表和新模板
What Is Mathematica?
Almost any workflow involves computing results, and that’s what Mathematica
does—from building a hedge-fund trading website or publishing interactive
engineering textbooks, to developing embedded image-recognition algorithms or
teaching calculus.
Mathematica is renowned as the world’s ultimate application for computations.
But it’s much more—it’s the only development platform fully integrating
computation into complete workflows, moving you seamlessly from initial ideas
all the way to deployed individual or enterprise solutions.
Next-Computation
Suggestions BarThe Suggestions Bar is a new interface paradigm that lets you
navigate and discover functionality throughout the Mathematica system. As soon
as you finish a computation, you will get optimized suggestions about what to
do next. Evaluate a new function or bring up an interactive wizard at the press
of a button.
Context-Sensitive Input Assistant
The Input Assistant will help you automatically complete code, discover
functions and options, and reduce oversights and typographical errors while
coding. Experts will appreciate familiar concepts like auto-completion, code
templates, and dynamic highlighting, while beginners will benefit from quick
documentation access for any function and visualizations to better understand
the structure of Mathematica’s code.
Social Network Analysis
Drawing on Mathematica’s strong graph and network capabilities, Mathematica 9
introduces a complete and rich set of state-of-the art social network analysis
functions. Access to social networks from a variety of sources, including
directly from social media sites, and high level functions for community
detection, cohesive groups, centrality, and similarity measures make performing
network analysis tasks easier and more flexible than ever before.
Units
Mathematica 9 introduces a new unit system containing thousands of different
units, all integrated with Wolfram|Alpha’s sophisticated unit interpretation
system. From unit conversion to dimensional analysis, Mathematica provides you
with all the tools you need to work with, and extract properties from, units
and quantities. Mathematica also includes integration for Quantity in system
functions, including numeric and symbolic calculations, statistics, and
visualizations.
Enterprise CDF Deployment
Mathematica 9 streamlines Computable Document Format (CDF) authoring. New
preview modes emulate Wolfram CDF Player and Wolfram Player Pro directly in
Mathematica—letting you verify your deployed content within your development
environment. An updated CDF Web Deployment Wizard eases deployment to the web
and allows deployment of CDFs with enhanced capabilities for enterprise
applications.
Random Processes
Mathematica 9 adds broad support for random processes, which model systems that
evolve over time in a random rather than deterministic fashion, but where
states that are near in time are dependent. Random processes, like
distributions, are symbolic expressions and can be simulated or estimated from
data, and the value of a process at any point in time is a distribution and can
be fully used as a distribution. Mathematica 9 fully supports a large number of
random processes with some larger groups including parametric processes, finite
Markov processes, queueing processes, time series processes and stochastic
differential equation processes
Markov Chains and Queues
Mathematica 9 provides fully automated support for discrete-time and
continuous-time finite Markov processes and for finite and infinite queues and
queueing networks with general arrival and service time distributions. The
symbolic representation of these processes in Mathematica makes it easy to
query for common process properties, visualize the process, simulate process
paths, perform parameter estimation, do probability operations on time slices,
and compute the stationary distribution and first passage time distribution.
The seamless integration with Mathematica’s powerful hybrid symbolic-numeric
computation engine makes modeling real-world Markov and queueing examples
easier and more flexible than ever before.
Time Series and Stochastic Differential Equations
Mathematica 9 adds extensive support for time series and stochastic
differential equation (SDE) random processes. A full suite of scalar and vector
time series models, both stationary or supporting polynomial and seasonal
components, is included. Time series models can easily be simulated, estimated
from data, and used to generate forecasts. Both parametric and fully general
Ito or Stratonovich processes can be used to specify SDE processes. SDE
processes can easily be simulated numerically and a number of properties can
also be computed symbolically.
Reliability
Mathematica 9 adds complete functionality for reliability analysis to its
already powerful probability and statistics capabilities. All common system
structures such as series, parallel, -out-of-, and consecutive -out-of-, as
well as general configurations, can be analyzed with symbolic and numeric
methods. Warm, cold, and mixed standby systems are supported. A full suite of
importance measures helps pinpoint the most important subsystems to improve for
increased system reliability. The related survival analysis capabilities
provide component models from censored data as would typically be the result
from field tests or accelerated tests.
Survival Analysis
Mathematica 9 provides fully automated, broad-ranging support for handling
censored and truncated data, optimized parametric and nonparametric survival
modeling frameworks, and a range of generalized hypothesis-testing functions,
such as weighted log rank, Wald, likelihood ratio, and score tests. The
seamless integration with Mathematica’s powerful hybrid symbolic-numeric
computation engine makes performing survival analysis tasks easier and more
flexible than ever before.
Enhanced Probability & Statistics
Mathematica 9 adds numerous extensions and improvements to its already very
strong capabilities in probability and statistics. These include additional
parametric distributions, faster nonparametric distributions, additional and
generalized derived and formula distributions. A new type of descriptive
statistics for measuring dependence among components for multivariate data and
distributions has been added, as well as a corresponding set of hypothesis
tests. The ability to associate weights with data points allows most
data-oriented functions to provide weighted estimators, including descriptive
statistics, nonparametric, and parametric distribution estimators. Performance
improvements are available across the board.
Enhanced Graphs and Networks
Mathematica 9 adds numerous extensions and improvements to its already very
strong capabilities in graphs and networks. New capabilities, including the
ability to compute network flows, find graph cuts and partitions, and
automatically visualize groups of vertices and bundle edges. Additional graph
distributions, tours, and graph layouts extend a large collection of features.
Performance improvements are available across the board.
Built-in Integration with R
Mathematica 9 offers built-in ways to integrate R code into your Mathematica
workflow, combining Mathematica’s broad range of capabilities with the
statistical computing language. RLink uses J/Link and rJava/JRI Java libraries
to allow the user to exchange data between Mathematica and R and to execute R
code from within Mathematica. With RLink, R users can use thousands of
functions from across the full Mathematica system.
3D Volumetric Image Processing
Mathematica extends its image processing capabilities to 3D datasets, including
pixel operations, local filtering, morphology, and more. In addition to 3D
surface rendering, fast and interactive volume rendering is available. Volumes
and 3D vector graphics combine seamlessly.
Advanced Image Processing with Large Image Support
Mathematica 9 adds many more capabilities to analyze and process two- and
three-dimensional images using highly optimized algorithms. Introduction of the
interactive Image Assistant, Suggestions Bar, and many more user assistance
features helps solve real-world image processing applications, including image
classification, feature detection, restoration—all more easily and faster than
before.
Interactive Image Assistant
The Image Assistant provides immediate access to common image processing tools,
making it easy to interactively process images using point-and-click—all within
the notebook environment.
Advanced Image Processing with Large Image Support
Mathematica 9 adds many more capabilities to analyze and process two- and
three-dimensional images using highly optimized algorithms. Introduction of the
interactive Image Assistant, Suggestions Bar, and many more user assistance
features helps solve real-world image processing applications, including image
classification, feature detection, restoration—all more easily and faster than
before.
Import and Export Formats
Mathematica 9 adds extensive support for new data formats in areas such as
molecular biology, high dynamic range image processing, and chemical
spectroscopy. In addition, Mathematica 9 offers enhanced performance and new
features for existing data formats, enabling out-of-core processing of large
datasets.
Built-in Signal Processing
Mathematica 9 introduces a new generation of signal processing and analysis,
fully integrated with Mathematica’s comprehensive continuous and discrete
calculus and algebraic capabilities. New features include analog and digital
filter design, and signal filtering and processing that can be applied to
audio, image, and other data, as well as new signal visualization functions and
discrete transforms.
Enhanced Control Systems
Mathematica 9 adds several extensions and improvements to the control system
functionality. PID controllers are the most widely used in industry, and
Mathematica now provides PID tuning with automated workflows. Time delays are
common in systems with communication lags or sensing delays and can create
instabilities. Mathematica’s control system suite now supports modeling and
design of time-delay systems. Descriptor systems allow for explicit
representation of algebraic constraints and are naturally generated from modern
modeling systems. Descriptor systems are now fully supported throughout the
control system framework.
Built-in Symbolic Tensors
Mathematica 9 introduces support for symbolic array objects, from simple
vectors to arrays of any rank, dimensions, and symmetry. New tensor algebra
operations allow the construction of polynomials of symbolic arrays. These can
be simplified into a standard form using efficient algorithms and used to
derive or prove symbolic identities. A new type of structured array stores only
symmetry and independent components. This can lead to substantial memory
saving, most significantly in the case of antisymmetry. New differential
operators for vector analysis can handle explicit arrays of any type and rank
and interpret them in various orthogonal coordinate systems
Enhanced Core Algorithms
Mathematica 9 adds a large number of improvements to existing functionality, as
well as a smaller amount of new functionality. There are new special functions,
such as real-valued algebraic functions from elementary calculus and
Mittag-Leffler’s E function from fractional calculus. Matrix functions are
supplied for all of Mathematica’s special functions and combinations. Numerous
performance and scope improvements across the system have been added.
Full Range of Web Access Support
Mathematica provides full client-side web access for sending data to and
receiving data from remote servers and for interacting with web APIs.
Downloaded data can be analyzed with the full functionality of Mathematica.
Asynchronous access allows AJAX-style programming for performing operations in
the background.
Newly Designed Slide Show Templates
Mathematica 9 punches up presentations with new templates specifically designed
for slide shows. New background images for title slides and subsequent slides
coordinate with fonts and layouts to enhance presentations. A new template
chooser provides a visual menu for selecting a template when creating a new
slide show.
Import and Export Formats
Mathematica 9 adds extensive support for new data formats in areas such as
molecular biology, high dynamic range image processing, and chemical
spectroscopy. In addition, Mathematica 9 offers enhanced performance and new
features for existing data formats, enabling out-of-core processing of large
datasets
