Currently browsing the Math Category

Fields Medalist Tim Gowers Takes Action To Stop Cooperating with Anti-Open Science Cartel

Posted on January 26, 2012  Comments (0)

The Fields medal is know as the Nobel of mathematics. Tim Gowers was awarded the Fields medal in 1998 for contributions to functional analysis, making extensive use of methods from combinatorial theory. Tim Gowers is currently the Rouse Ball Professor of Mathematics at Cambridge University. He posted recently on his decision to stop supporting (with his actions, such as submitting paper and reviewing papers) the anti-open-science behavior of Elsevier (a particularly aggressive anti-open-science publisher that also has very bad pricing practices).

Elsevier — my part in its downfall

One method that they have for getting away with it is a practice known as “bundling”, where instead of giving libraries the choice of which journals they want to subscribe to, they offer them the choice between a large collection of journals (chosen by them) or nothing at all. So if some Elsevier journals in the “bundle” are indispensable to a library, that library is forced to subscribe at very high subscription rates to a large number of journals, across all the sciences, many of which they do not want. (The journal Chaos, Solitons and Fractals is a notorious example of a journal that is regarded as a joke by many mathematicians, but which libraries all round the world must nevertheless subscribe to.) Of course, given that libraries have limited budgets, this often means that they cannot subscribe to journals that they would much rather subscribe to, so it is not just libraries that are harmed, but other publishers, which is of course part of the motivation for the scheme.
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Elsevier supports many of the measures, such as the Research Works Act, that attempt to stop the move to open access. They also supported SOPA and PIPA and lobbied strongly for them.
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I also don’t see any argument at all against refusing to submit papers to Elsevier journals.

So I am not only going to refuse to have anything to do with Elsevier journals from now on, but I am saying so publicly. I am by no means the first person to do this, but the more of us there are, the more socially acceptable it becomes

Good for him. All we need is for more and more scientists, mathematicians and engineers to support open science with thier actions and open science will be the way things are. It is as simple as that. The outdated business practices of the old journals will die. Either the existing publishers will finally give up on their extremely outdated practices or they will be replaced.

Related: The Architecture of Access to Scientific Knowledge – Merck and Elsevier Publish Phony Peer-Review Journal – The Future of Scholarly Publication (2005) – Science Journal Publishers Stay Stupid (2007) “It is time for the scientific community to give up on these journals and start looking to move to work with new organizations that will encourage scientific communication and advancement”

How Algorithms Shape our World

Posted on July 29, 2011  Comments (2)

Our modern world is influenced greatly by algorithms. As computing power allowed incredibly complex calculation we have taken advantage of that and used algorithms to find solutions to our desires. Great things are done but we also find ourselves getting into trouble occasionally as we develop these algorithm.

Related: Algorithmic Self-Assembly – Computer Science Revolution – Google’s Answer to Filling Jobs Is an Algorithm – What are Genetic Algorithms? – Google Prediction API

Dangerous Infinity

Posted on July 26, 2009  Comments (3)

In this BBC documentary, Dangerous Knowledge, David Malone looks at four brilliant mathematicians – Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing – whose genius has profoundly affected us, but which tragically drove them insane and eventually led to them all committing suicide.

The film begins with Georg Cantor, the great mathematician whose work proved to be the foundation for much of the 20th-century mathematics. He believed he was God’s messenger and was eventually driven insane trying to prove his theories of infinity.

They explore, among other things, varying levels of infinity. With Ludwig Boltzmann they explore challenges to the understanding of physics.

Related: BBC Dangerous Knowledge web site – Poincaré Conjecture – Problems Programming Math – Compounding is the Most Powerful Force in the Universe – Innovation with Math

Teen Tackles Centuries-old Numbers challenge

Posted on May 28, 2009  Comments (1)

teen tackles centuries-old numbers challenge

A 16-year-old Iraqi immigrant in central Sweden has single-handedly figured out a formula with Bernoulli numbers that is normally reserved for much more seasoned mathematicians, earning him praise from professors at prestigious Uppsala University.
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While it’s not the first time that someone has shown such Bernoulli number relationships, it’s highly unusual for a first year high school student to make his way through the complicated calculations, according to Uppsala University senior maths lecturer Lars-Åke Lindahl. “He’s a very clever guy,” Lindahl told The Local.

“What he did isn’t necessarily new, but it is quite remarkable for a first year high school student to take on these types of problems all on his own. It’s certainly an achievement.”
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Altoumaimi plans to continue studying advanced math and physics over the summer. “I wanted to be a researcher in physics or mathematics; I really like those subjects. But I have to get better at English and social science,” he told Falu-Kuriren.

Related: Making Magnificent Mirrors with Math – Playing Dice and Children’s Numeracy – 1=2: A Proof

Mathematicians Top List of Best Occupations

Posted on January 21, 2009  Comments (5)

These lists are basically silly but here is one sites opinion on the best occupations. I don’t really accept the methodology used as providing anything very meaningful about the “best jobs” but at least the spell it out. Best jobs

  1. Mathematician
  2. Actuary
  3. Statistician
  4. Biologist
  5. Software Engineer
  6. Computer Systems Analyst

Their criteria really value being able to sit at a desk and not having to do physical work. High salary and limited stress are also significant factors.

Related: The Economic Benefits of Math – Who Killed the Software Engineer? – Knowledge Is Power – Teaching Math – The IT Job Market in the UK

Making Magnificent Mirrors with Math

Posted on January 20, 2009  Comments (1)

At Drexel, he designs amazing mirrors

Could math provide the path to better reflection? Perline asked.

Indeed it could. Eight years and numerous calculations later, Hicks is now testing a prototype mirror – for a car, not a bike – and he is in talks with a foreign manufacturer. As with the bike mirror, the rounded surface provides a wide field of view – so wide that it eliminates the dreaded, driver-side “blind spot” – yet the subtle mathematics of his design result in little or no distortion.

He didn’t stop there. The 42-year-old mathematician went on to design half a dozen other reflective surfaces for various applications – a few of them in collaboration with Perline – and they are like nothing you’d ever see on the bathroom wall.

Panoramic mirrors. Mirrors for use with high-tech surveillance cameras. Mirrors with odd, undulating surfaces that are fashioned with a computer-guided milling machine. And one wacky mirror that doesn’t yield a mirror image at all. If you raise one hand while looking into the curved surface, your reflection appears to be raising the opposite hand.

It’s not clear what use that one will have, beyond entertainment – Perline calls it “the vampire mirror” – but with his driver-side prototype, Hicks may be onto something.

Related: Innovation with Math – The Emperor of Math – Time – math related posts

Data Analysts Captivated by R’s Power

Posted on January 13, 2009  Comments (0)

Data Analysts Captivated by R’s Power

data mining has entered a golden age, whether being used to set ad prices, find new drugs more quickly or fine-tune financial models. Companies as diverse as Google, Pfizer, Merck, Bank of America, the InterContinental Hotels Group and Shell use it.
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Close to 1,600 different packages reside on just one of the many Web sites devoted to R, and the number of packages has grown exponentially. One package, called BiodiversityR, offers a graphical interface aimed at making calculations of environmental trends easier.

Another package, called Emu, analyzes speech patterns, while GenABEL is used to study the human genome. The financial services community has demonstrated a particular affinity for R; dozens of packages exist for derivatives analysis alone. “The great beauty of R is that you can modify it to do all sorts of things,” said Hal Varian, chief economist at Google. “And you have a lot of prepackaged stuff that’s already available, so you’re standing on the shoulders of giants.”

R first appeared in 1996, when the statistics professors Ross Ihaka and Robert Gentleman of the University of Auckland in New Zealand released the code as a free software package. According to them, the notion of devising something like R sprang up during a hallway conversation. They both wanted technology better suited for their statistics students, who needed to analyze data and produce graphical models of the information. Most comparable software had been designed by computer scientists and proved hard to use.

R is another example of great, free, open source software. See R packages for Statistics for Experimenters.

via: R in the news

Related: Mistakes in Experimental Design and Interpretation – Data Based Decision Making at Google – Freeware Math Programs – How Large Quantities of Information Change Everything

Brain Reorganizes As It Learns Math

Posted on December 26, 2008  Comments (1)

Brain reorganizes to make room for math

It takes years for children to master the ins and outs of arithmetic. New research indicates that this learning process triggers a large-scale reorganization of brain processes involved in understanding written symbols for various quantities.

The findings support the idea that humans’ ability to match specific quantities with number symbols, a skill required for doing arithmetic, builds on a brain system that is used for estimating approximate quantities. That brain system is seen in many nonhuman animals.

When performing operations with Arabic numerals, young adults, but not school-age children, show pronounced activity in a piece of brain tissue called the left superior temporal gyrus, says Daniel Ansari of the University of Western Ontario in London, Canada. Earlier studies have linked this region to the ability to associate speech sounds with written letters, and musical sounds with written notes. The left superior temporal gyrus is located near the brain’s midpoint, not far from areas linked to speech production and understanding.

In contrast, children solving a numerical task display heightened activity in a frontal-brain area that, in adults, primarily serves other functions.

Related: Brain Development – The Brain Hides Information From Us To Prevent Mistakes – How The Brain Rewires Itself – posts about brain research

Engineers and Scientists in Congress

Posted on December 9, 2008  Comments (1)

I started maintaining a list of Congressmen with PhDs and graduate degrees in science, engineering and math awhile back.

Please comment with any additions that you know of.

The following were re-elected:
Vernon Ehlers, Michigan, physics PhD; Rush Holt, New Jersey, physics PhD; John Olver, Massachusetts, chemistry PhD; Brian Baird, Washington, psychology PhD; Bill Foster, Illinois, physics PhD.

Other scientists, engineers and mathematicians that were reelected include: Ron Paul, Texas, biology BS, MD; Jerry McNerney, California, mathematics PhD; Dan Lipinski, Illinois, mechanical engineering BS, engineering-economic systems MS; Todd Akin, Mississippi, management engineering BS;Cliff Stearns, Florida, electrical engineering BS; Louise Slaughter, New York, microbiology BS; Joe Barton, Texas, industrial engineering BS, Pete Stark, California, engineering BS, Mike Honda, California.

Lost: Nancy Boyda, Kansas (BS chemistry).

Newly elected: Bill Cassidy, Louisiana (BS Biochemistry, MD); Pete Olson, Texas (BA computer science); Kurt Schrader, Oregon (Doctor of Veterinary Medicine); Martin Heinrich, New Mexico (BS engineering), Gregg Harper, Mississippi (BS chemistry), Joseph Cao, Mississippi (BA physics); Brett Guthrie, Virginia (BS mathematical economics); Erik Paulsen, Minnesota, mathematics BA; Parker Griffith, Alabama (BS chemistry, MD); Cynthia Lummis, Wyoming (BS animal science and biology).

Before you leap to the conclusion that scientists are taking over Congress, remember 2 things: 1) I have probably been missing plenty that were in congress already and 2) this is still a total of less than 10% with even a BS in science, math or engineering. I attempted to determine the status of all those newly elected this year.

Please comment, if you know of others in Congress with science and engineering backgrounds. If we get this list to be relative close to accurate then we can start tracking the total representation in congress and see if it is increasing, decreasing or randomly fluctuating over time.

Related: Scientists and Engineers in Congress – China’s Technology Savvy Leadership – Science and Engineering in Politics – The A to Z Guide to Political Interference in Science

Compounding is the Most Powerful Force in the Universe

Posted on December 8, 2008  Comments (2)

A talking head with some valuable info. I remember my father (a statistics professor) getting me to understand this as a small child (about 6 years old). The concept of growth and mathematical compounding is an important idea to understand as you think and learn about the world. It also is helpful so you understand that statistics don’t lie but ignorant people can draw false conclusions from limited data.

It is unclear if Einstein really said this but he is often quoted as saying “compounding is the most powerful force in the universe.” Whether he did or not, understanding this simple concept is a critical component of numeracy (literacy with numbers). Also quoted at times as: “Compound interest is the eighth wonder of the world.” My guess is that people just find the concept of compounding amazing and then attribute quotes about it to Einstein.

I strongly encourage you to watch at least the first 2 segments (a total of 15 minutes). And then take some time and think. Take some time to think about compounding in ways to help you internalize the concepts. You can also read his book: The Essential Exponential For the Future of Our Planet by Albert Bartlett.

Related: Playing Dice and Children’s Numeracy – Saving for Retirement (compound interest) – Bigger Impact: 15 to 18 mpg or 50 to 100 mpg? – Sexy Math – The Economic Benefits of Math

National Girls Collaborative Project for STEM

Posted on November 22, 2008  Comments (0)

The National Girls Collaborative Project for science, technology, engineering, and mathematics (STEM) collaborates with those seeking to increase the participation of girls in STEM feeder activities. The goal is to encourage girls to pursue careers in science, technology, engineering, and math.

Collaboration as a Means to Building Capacity: Results and Future Directions of the National Girls Collaborative Project:

The purpose of the NGCP is to extend the capacity, impact, and sustainability of
existing and evolving girl-serving STEM projects and programs. The NGCP is structured to bring organizations together to compare needs and resources, to share information, and to plan strategically to expand STEM–related opportunities for girls.
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Although we are still refining it, the NGCP collaborative model has shown its effectiveness through increased collaboration and minigrant projects with sustained results. As we have described, the success to date of the NGCP in developing collaborations has been demonstrated via data from the collaboration rubric, mini-grant reports, and metrics that show how collaborative activities have increased over the duration of the NGCP projects. As NGCP expands over the next few years to provide regional collaboratives across the entire United States and Puerto Rico, we will continue our assessment of its impact and hope to be able to report its influence on building capacity to attract and retain girls in STEM.

I support programs encouraging STEM activities for girls – and boys. NSF data shows for 2005 shows women outnumbered men in undergraduate degree in science and engineering. For post-graduate degrees men still outnumbering women but that gap has been reducing and seems like it will continue to. And the representations in the workplace seem poised to continue to show a reducing number of men and increasing number of women. Engineering is an example of an area with far more men than women graduating – the imbalance is equivalent to the imbalance the other way for psychology.

Related: Girls Sweep Top Honors at Siemens Competition in Math, Science and Technology – FIRST Robotics in Minnesota – Kids in the Lab: Getting High-Schoolers Hooked on Science

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