background preloader

No, really, pi is wrong: The Tau Manifesto by Michael Hartl

No, really, pi is wrong: The Tau Manifesto by Michael Hartl
I continue to be impressed with how rich this subject is, and my understanding of π and τ continues to evolve. On Half Tau Day, 2012, I believed I identified exactly what is wrong with π. My argument hinged on an analysis of the surface area and volume of an n-dimensional sphere, which (as shown below) makes clear that π doesn’t have any fundamental geometric significance. My analysis was incomplete, though—a fact brought to my attention in a remarkable message from Tau Manifesto reader Jeff Cornell. As a result, this section is an attempt not only to definitively debunk π, but also to articulate the truth about τ, a truth that is deeper and subtler than I had imagined. Note: This section is more advanced than the rest of the manifesto and can be skipped without loss of continuity. 5.1 Surface area and volume of a hypersphere We start our investigations with the generalization of a circle to arbitrary dimensions. which consists of the two points ±r. is the line segment from −r to r. n!!

Simple animation to explain complex principles 1, aircraft radial engine 2, oval Regulation 3, sewing machines 4, Malta Cross movement - second hand movement used to control the clock 5, auto change file mechanism 6, auto constant velocity universal joint 6.gif 7, gun ammunition loading system 8 rotary engine - an internal combustion engine, the heat rather than the piston movement into rotary movement # Via World Of Technology. 1, inline engine - it's cylinders lined up side by side 2, V-type engine - cylinder arranged at an angle of two plane 3, boxer engine - cylinder engine arranged in two planes relative

5 Ways to Start Learning How to Code Right Now Learning to code is one of the most powerful and satisfying things you can ever do. If you’re a designer, learning to code can help you understand what you’re creating for, and if you’re looking to build a startup from scratch, being a technical founder can make things exponentially easier for you. No matter why you want to learn, the only thing you really need is curiosity. But if you’re just starting out as a novice and don’t know where to begin, there are plenty of ways to get started. We presented this list of 7 ways to start learning how to code right now for free last month, and now we’re back with 5 more ways to start coding for free! iTunes U Apple just recently made some dramatic changes to iTunes U, and Stanford’s set of videos is quite an impressive offering. ➤ iTunes U Kids Ruby We wrote about Kids Ruby this past December and honestly, you’ve got to start them young, right? Now, if you’re not a kid, this software might still be really helpful for you. ➤ Kids Ruby Net Tuts+

What's the rarest figure eight in the universe? The N Body problem problem has always been an issue in celestial mechanics. For example our solar system, over very large time scales is actually unstable. This is because it's not really a two body system, unless we enormously simplify the solar system just down to the Earth and Sun, ignoring the Moon, the asteroids, Mars, Saturn and all the rest of it. The affects of the gravitational perturbations of all these other bodies, although very small on short time scales, can add up to be instability in the long run. The solar system is in fact a chaotic pendulum: Factor in the motions of other stars in the galaxy and energy lost due to gravitational radiation and over many quadrillions of years the solar system will fall apart. That vaguely related tidbit aside.

7 Ways to Learn to Code Right Now for Free Learning to code is one of the most powerful and satisfying things you can ever do. If you’re a designer, learning to code can help you understand what you’re creating for, and if you’re looking to build a startup from scratch, being a technical founder can make things exponentially easier for you. No matter why you want learn, the only thing you really need is curiosity. But if you’re just starting out as a novice and don’t know where to begin, here’s a list of 7 ways to start learning how to code right now for free: 1. Processing is an open source programming language and environment for people who want to create images, animations, and interactions. ➤ Processing (Reference, Tutorials, Wiki, Forum, Inspiration) 2. Codecademy bills itself as “the easiest way to learn how to code,” and thanks to this startup, learning to code online has never been so accessible. ➤ Codecademy 3. Bloc, a new educational startup, makes it easy for you to start writing in Ruby. ➤ Bloc 4. ➤ Meetup, Hackathons 5.

Futurama Writer Invented A New Math Theorem Just To Use In The Show What is Bullying? Aggressive behavior may be bullying depending on what happened, how often it happens and who it happens to. Find out what bullying is and what the different types are. You can also learn more about other topics related to bullying. Bullying Definition Bullying is unwanted, aggressive behavior among school aged children that involves a real or perceived power imbalance. The behavior is repeated, or has the potential to be repeated, over time. The Roles Kids Play There are many roles that kids can play. Related Topics There are many other types of aggressive behavior that don’t fit the definition of bullying.

Two envelopes problem The two envelopes problem, also known as the exchange paradox, is a brain teaser, puzzle, or paradox in logic, philosophy, probability, and recreational mathematics. It is of special interest in decision theory, and for the Bayesian interpretation of probability theory. Historically, it arose as a variant of the necktie paradox. The problem: You have two indistinguishable envelopes that each contain money. One contains twice as much as the other. It can be argued that it is to your advantage to swap envelopes by showing that your expected return on swapping exceeds the sum in your envelope. Example Assume the amount in my selected envelope is $20. However if I happened to have selected the smaller of the two envelopes, that would mean that the amount in the other envelope is twice the amount in my envelope. A large number of solutions have been proposed. Problem[edit] Basic setup: You are given two indistinguishable envelopes, each of which contains a positive sum of money.

Papercraft World FrankenPaper Fun Halloween paper craft! Download a Monster! Print-out, cut-out, glue, use as a holiday display or for pretend play! FrankenPaper Free Follow-Me Head-in-a-Box Illusion This is a great illusion paper model that kids and grown-ups will love! Secrecy News The number of chronically homeless persons in the U.S. dropped from more than 120,000 in 2008 to around 84,000 in 2014, a new report from the Congressional Research Service notes. The federal government has undertaken to end chronic homelessness by 2017. “One of the reasons that federal programs have devoted resources to ending chronic homelessness […] Read More The national census in 2020 will be the first to rely primarily on the Internet for collecting census data, thereby creating new avenues for fraud and disruption. Read More Employees of the U.S. intelligence community are expected to be bold, innovative and imbued with moral courage. Read More The guiding principles for implementing and operating the Intelligence Community (IC) Information Technology Enterprise (ITE) were set forth in a 2013 memorandum from the Director of National Intelligence that was recently released under the Freedom of Information Act. Read More Read More Read More Read More Read More Read More Tomorrow Ronald W.

Apps

Related: