Rader's NUMBERNUT.COM Benford's Law If you’ve not heard about Benford’s Law before, you’re in for a real treat with this post. Before we get into the theory, however, indulge with me in a little thought experiment. (Gedanken) Gedanken Experiment Actual results Huh !!? Curiouser and curiouser! But wait, there’s more … It gets even more puzzling. Instead of plotting the chart based on altitude measured in feet, let’s say I convert all the altitudes into Meters (I like the Metric system), and plot the chart again. Nope! If we recreate the chart, yet again, but this time using the height data converted into the ancient unit of measure the Royal Egyptian Cubit, we get a similar shaped distribution (One Royal Egyptian Cubit = 523 mm). In fact, it does not matter which units I plot the data in (meaning it does not matter what arbitrary scale conversion factor I apply), the distribution of the leading digit follows a similar curve. Something is clearly going on here. I think you'll agree it's a pretty good match. How / Why does it work?
School:Mathematics Welcome to the School of Mathematics! The Lorenz attractor is a chaotic map, noted for its butterfly shape. The map shows how the state of a dynamical system evolves over time in a complex, non-repeating pattern. The attractor itself, and the equations from which it is derived, were introduced by Edward Lorenz in 1963, who derived it from the simplified equations of convection rolls arising in the equations of the atmosphere. Since you're here, you either are someone wishing to share your knowledge of Mathematics, or you are someone who wishes to gain knowledge about Mathematics. Mathematics has many facets; though it has a wealth of applications, Mathematics is also a science, and an art, in its own right. The School of Mathematics is a work in progress. The School of Mathematics wishes you a very warm welcome. Divisions and departments[edit] Divisions and Departments of the School exist on pages in "topic" name space. Mathematics curriculum[edit] School news and current events[edit]
Mathematical Atlas: A gateway to Mathematics Welcome! This is a collection of short articles designed to provide an introduction to the areas of modern mathematics and pointers to further information, as well as answers to some common (or not!) questions. The material is arranged in a hierarchy of disciplines, each with its own index page ("blue pages"). For resources useful in all areas of mathematics try 00: General Mathematics. There is a backlog of articles awaiting editing before they are referenced in the blue pages, but you are welcome to snoop around VIRUS WARNING: The Mathematical Atlas receives but does not send mail using the math-atlas.org domain name. Please bookmark any pages at this site with the URL This URL forces frames; for a frame-free version use
The Hardest Thing To Find In The Universe? : Krulwich Wonders... What is rarer than a shooting star? Rarer than a diamond? Rarer than any metal, any mineral, so rare that if you scan the entire earth, all six million billion billion kilos or 13,000,000,000,000,000,000,000,000 pounds of our planet, you would find only one ounce of it? What is so rare it has never been seen directly, because if you could get enough of it together, it would self-vaporize from its own radioactive heat? What is this stuff that can't be seen or found? iStockphoto.com "At" stands for astatine. The problem is, there's something about 85 protons in a tight space that nature doesn't enjoy. This element has a half life of roughly 8 hours, meaning if you could get a clump of it to stay on a table (you can't), half of it would disintegrate in 8 hours, and then every 8 hours another half would go until in a few days, there'd be no astatine on the table. By comparison, a clump of bismuth (atomic number 83) loses half its atoms in 20 billion billion years. How Do You Know It's There?
Information for Teachers You’re just a click away from even more powerful teaching. You want to help your students to learn more math and science. So do we. That’s why we’ve spent over 15 years using technology to bring science and math ideas alive. The best part about it? So how can you help your students learn? Stay on the cutting edge of technology Do you have the drive to learn about the newest technology? Subscribe Find your path through the Next Generation Science Standards Find your path through the Next Generation Science Standards with help from the Concord Consortium. Start finding your way with the NGSS Pathfinder Find free activities for your students Looking for great ways to teach complex science and math concepts? Find free software to help your students learn Put your probes and sensors to work Do you have probes and sensors gathering dust in your closet? Find great probeware activities
Online Etymology Dictionary Top 6 Open Source Back-to-School Apps: A SourceForge Downloader’s Guide | SourceForge Community Blog roots Typesetting math: 8% John Baez December 15, 2011 Around 2006, my friend Dan Christensen created a fascinating picture of all the roots of all polynomials of degree ≤ 5 with integer coefficients ranging from -4 to 4: Click on the picture for bigger view. You can see lots of fascinating patterns here, like how the roots of polynomials with integer coefficients tend to avoid integers and roots of unity - except when they land right on these points! Now you see beautiful feathers surrounding the blank area around the point 1 on the real axis, a hexagonal star around \exp(i \pi/ 3), a strange red curve from this point to 1, smaller stars around other points, and more.... People should study this sort of thing! Inspired by the pictures above, Sam Derbyshire decided to to make a high resolution plot of some roots of polynomials. The coloring shows the density of roots, from black to dark red to yellow to white. Here's a closeup of the hole at 1: Note the white line along the real axis. For example:
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Stock footage of Newsreel story: In Selma, Alabama, General James W Moore, of the Confederate Army dies at 99. DVArchive Clip ID 000-5383. Royalty free stock footage, video, and movie clips - 000-5383.jpg About Public Domain Clip Prices Some commercial libraries charge license fees for clips in the Public Domain. DVArchive believes it is more in keeping with the spirit and intent of PD to offer these clips for free to the public with only a modest handling fee to cover our expenses in preparing, resizing, transferring or improving the clips for download and making them available to you. Our handling fees are as follows: $35 for clips under 30 seconds $45 for clips from :30 to 1:00 $55 for clips 1-2 minutes $65 for clips over 2 minutes About the Public Domain Copyright DVarchive has taken reasonable steps to verify the copyright status of this work or clip and has determined that it is most likely in the public domain, and can be freely used and re-used in projects at your discretion. Any Trademarks used in this item listing are used for strictly descriptive purposes only.
The International Date Line, Explained Dan Heim taught physics and mathematics for 30 years — more if you count his grade-school science club. Since 1999, he's been a freelance writer and creates educational computer graphics and animations. Dan is President of the Desert Foothills Astronomy Club in New River, Ariz. We all heard about the International Date Line (IDL) in geography class — it was this special line on the globe where the day and date change. That's probably why I keep getting questions like these on my blog: What is the IDL, why do we need it, and who invented it? Frequent international travelers are comfortable with the IDL. So here's a definitive explanation of the IDL. There are no equations, but you might encounter a few new terms. Before there were clocks Back in the days before mechanical clocks, time was measured mostly using sundials. Figure 1: The Sun at apparent (true) noon.Credit: Dan Heim. The problem was, each city experienced noon at their own (apparent) 12:00 pm. Latitude and longitude Time zones
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