# Numberphile - Videos about Numbers and Stuff

Fun Kids Online Math Games "Sheppard offers everything from early math to pre-algebra. The lessons include interactive activities to practice concepts. Students can shoot fruit, pop balloons, and even play math man (the math version of pac man!). Fractions, place value, money, and basic operations are some of the areas that are covered. Check it out at " --Shannon Jakeman , sjakeman.blogspot.com "Online math games, like the ones that you'll find for free at Sheppard Software, provide a valuable opportunity for children to learn a great deal while they're having fun. Fibonacci GCD's, please Fibonacci numbers exhibit striking patterns. Here's one that may not be so obvious, but is striking when you see it. Recall the Fibonacci numbers: n: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,... fn: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,... Now let's look at some of their greatest common divisors (gcd's):

12 Dozen Places To Educate Yourself Online For Free All education is self-education. Period. It doesn’t matter if you’re sitting in a college classroom or a coffee shop. Intensity (physics) The word "intensity" as used here is not synonymous with "strength", "amplitude", "magnitude", or "level", as it sometimes is in colloquial speech. If a point source is radiating energy in all directions (producing a spherical wave), and no energy is absorbed or scattered by the medium, then the intensity decreases in proportion to distance from the object squared. This is an example of the inverse-square law. Applying the law of conservation of energy, if the net power emanating is constant,

Julia set A Julia set Three-dimensional slices through the (four-dimensional) Julia set of a function on the quaternions. The Julia set of a function f is commonly denoted J(f), and the Fatou set is denoted F(f).[1] These sets are named after the French mathematicians Gaston Julia[2] and Pierre Fatou[3] whose work began the study of complex dynamics during the early 20th century. Formal definition Let f(z) be a complex rational function from the plane into itself, that is, Factoring a Number Thinkwell PatrickJMT » Algebra, Arithmetic » Factoring a Number A Random Math Fun Fact! From the Fun Fact files, here is a Random Fun Fact, at the Advanced level: The traditional proof that the square root of 2 is irrational (attributed to Pythagoras) depends on understanding facts about the divisibility of the integers. (It is often covered in calculus courses and begins by assuming Sqrt[2]=x/y where x/y is in smallest terms, then concludes that both x and y are even, a contradiction. See the Hardy and Wright reference.) But the proof we're about to see (from the Landau reference) requires only an understanding of the ordering of the real numbers!

25 Best Sites for Free Educational Videos RefSeek's guide to the 25 best online resources for finding free educational videos. With the exception of BrainPOP and Cosmeo, all listed sites offer their extensive video libraries for free and without registration. Academic Earth Thousands of video lectures from the world's top scholars. Periodic Table Trends MCAT Chemistry > Periodic Table Trends Background Understanding the periodic table of elements at a glance is one of the most important skills for the MCAT.

Catalog Page for PIA16075 This composite image, with magnified insets, depicts the first laser test by the Chemistry and Camera, or ChemCam, instrument aboard NASA's Curiosity Mars rover. The composite incorporates a Navigation Camera image taken prior to the test, with insets taken by the camera in ChemCam. The circular insert highlights the rock before the laser test. The square inset is further magnified and processed to show the difference between images taken before and after the laser interrogation of the rock. What is the Golden Ratio? – Math Memoirs – Medium The Golden Ratio has been heralded as the most beautiful ratio in art and architecture for centuries. From the Parthenon to Salvador Dali’s The Sacrament of the Last Supper the Golden Ratio has been found lurking in some of the world’s most celebrated creations. Now whether you believe this divine proportion is truly a mark of beauty or simply selection bias is up to you, but without a doubt it is one of the most intriguing numbers in existence. Phi is Golden

Sums of Two Squares Ways In the Fun Fact Sums of Two Squares, we've seen which numbers can be written as the sum of two squares. For instance, 11 cannot, but 13 can (as 32+22). A related question, with a surprising answer, is: on average, how many ways can a number can be written as the sum of two squares? We should clarify what we mean by average. Let W(N) is the number of ways to write N as the sum of two squares. Thus W(11)=0, and W(13)=8 (as sums of squares of all possible combinations of +/-3 and +/-2 , in either order).

Open Educational Resources (OER): Resource Roundup Resources by Topic: OER, a part of the global open content movement, are shared teaching, learning, and research resources available under legally recognized open licenses -- free for people to reuse, revise, remix, and redistribute. Why are OER important?

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