Wolfram Computation Meets Knowledge

News, Views & Insights

Announcements & Events

Launching a New Era in Large-Scale Systems Modeling

Over the past 25 years, we’ve been fortunate enough to make a mark in all sorts of areas of science and technology. Today I’m excited to announce that we’re in a position to tackle another major area: large-scale systems modeling. It’s a huge and important area, long central to engineering, and increasingly central to fields like […]

Stephen Wolfram
Education & Academic

Explore the Computational Universe at NKS Summer School 2011

There's still time to apply to NKS Summer School 2011, a complex systems research school based on Stephen Wolfram's seminal tract on the subject, A New Kind of Science (NKS), published in 2002. The first NKS Summer School was held soon after the book's publication, and, this summer, Wolfram Research will host its 9th annual program, centered on doing research on the topics and methods introduced by the book. The 2011 NKS Summer School is being held in Boston, Massachusetts, USA from June 27 through July 15, 2011. The concepts introduced in NKS have already made significant contributions to research and technological innovation.
Abigail Nussey, Special Projects Technical Project Manager, Special Projects
Education & Academic

Built to Last: Understanding Earthquake Engineering

Last week, the world was shocked by the news of massive earthquakes and devastating tsunamis in Japan. The event is still unfolding and could become one of the most tragic natural disasters in recent history. Scientific understanding and modeling of complicated physical phenomena and engineering based on such analysis is imperative to prevent unnecessary loss of life from natural disasters. In this post, we'll explore the science behind earthquakes to better understand why they happen and how we prepare for them. Note: The dynamic examples in this post were built using Mathematica. Download the Computable Document Format (CDF) file provided to interact with the simulations and further explore the topics. First, let's start with locations. The following visualization is created from the U.S. Geological Survey (USGS) database of earthquakes that occurred between 1973 and early 2011 whose magnitudes were over 5. As you can clearly see, the epicenters are concentrated in narrow areas, usually on the boundaries of tectonic plates. In particular, there are severe seismic activities around the Pacific, namely the "Ring of Fire". Unfortunately, Japan is sitting right in the middle of this highly active area.
Yu-Sung Chang, Technical Communication & Strategy Group
Leading Edge

The Distance between “Zero” and “Hero”: Exploring Synonym Chains with Mathematica

There is an old word game where you try to get from one word to another through connections with other words. For example, you might get from “cold” to “stationary” via the word “frozen”, since “cold” and “frozen” are synonyms and “frozen” and “stationary” are synonyms, albeit for different meanings of the word “frozen”. I thought of this game when I started to learn the new graph theory functions in Mathematica 8. We can think of the words in the English language as the vertices of one large graph and the synonym connections between them as the graph edges. If you do that, it looks like this: So let's see if we can generally solve this synonym chain problem.
Jon McLoone, Director, Technical Communication & Strategy
Products

Mathematica Q&A: Excluding Points from Plots

Got questions about Mathematica? The Wolfram Blog has answers! Each week, we'll answer a selected question from users around the web. You can submit your question directly to the Q&A Team. For our first post in this new series of Mathematica Q&A articles, we're going to address a very frequently asked question about plotting in Mathematica. How can I control the appearance of discontinuities in a plot? The short answer is, use the options Exclusions and ExclusionsStyle! Let's see how they work. By default, Plot shows the function 1 ⁄ sin(x) with lines joining its discontinuities:
Andrew Moylan, Technical Content Specialist, Technical Communication and Strategy Group
Products

Innovating Interactive Web Publishing with Wolfram Demonstrations

Today we are pleased to announce an exciting new phase in the development of the Wolfram Demonstrations Project. In addition to its slick new design and structure, allowing for more intuitive navigation, the website now features a groundbreaking technology that takes interactivity on the web to a whole new level. This technology tightly integrates live computations into the web browser, making interaction with Demonstrations a fluent part of the online experience. Powered by a new web browser plugin, each Demonstration’s dynamic interface is now an element of the web page, similar to text, images, or videos, and yet is so much more than the typical inert content. Sliders, buttons, 3D graphic manipulations, color palettes, and the rest of the Wolfram interactive arsenal are now at your fingertips. They provide dynamic access to Mathematica’s universal engine spanning vast areas of pure and applied math, image processing, finance, control systems, wavelet analysis, and much more.
Vitaliy Kaurov, Director of Community Engagement
Leading Edge

Stabilized n-Link Pendulum

In the previous post in this series, we looked at how to model a stabilized inverted pendulum using the control systems design features in Mathematica 8. We were quickly able to simulate a linearly controlled cart-and-pendulum system, and show that it is stable against some fairly large perturbations. But what about a double (or triple or quadruple… ) pendulum? A general n-link pendulum is depicted below. In this post we'll see how to derive the equations of motions for this system, find out whether we can stabilize it with a linear control scheme, and produce some animations of the results.
Andrew Moylan, Technical Content Specialist, Technical Communication and Strategy Group
Education & Academic

Optimizing Financial Modeling with Mathematica

On January 25 and 27 in Chicago and New York, respectively, Wolfram, in conjunction with NVIDIA, hosted a seminar themed "Optimizing Financial Modeling" to showcase how Mathematica and CUDA can be applied within the financial industry. Full presentations and a white paper on CUDA programming with Mathematica are available for download on the seminar page. Dr. Phillip Zecher, Chief Risk Officer of EQA Partners, detailed how Mathematica is used in every facet of his firm's operation, and NVIDIA's Senior CUDA Consultant John Ashley explained how CUDA programming is changing financial computation. My talk concerned Mathematica 8's broad functionality for finance. Each capability is deserving of a full seminar unto itself, so because of the sheer number of topics and functions, I was only able to briefly touch on a few examples from each category. A full list of financial tools in Mathematica is available in the online documentation. The following TabView presents an overview of the new financial functions:
Michael Kelly, Senior Wolfram Technology Consultant, Wolfram Technology Group
Education & Academic

An Educator’s Story: Creating Immersive Teaching Environments with Mathematica

Paul Abbott, a faculty member in the School of Physics at The University of Western Australia, wants to teach his students a tool that they can use to tackle real-world problems—not only in his physics and mathematics courses, but throughout their studies and into their professional careers. For him, Mathematica is that tool. Abbott uses Mathematica to build all of his courseware, from lecture slide shows and assignments to quizzes and exams. His students use Mathematica to visualize surfaces, explore concepts using interactive examples, hypothesize results, and check their work. He says Mathematica is an "immersive environment" that helps his students reach a higher level of understanding.
Wolfram Blog Team
Show More