Old Software Downloads for Windows, Mac, Linux and Abandonware Games Gödel's Incompleteness Theorem Gödel’s Incompleteness Theorem: The #1 Mathematical Discovery of the 20th Century In 1931, Kurt Gödel delivered a devastating blow to the mathematicians of his time In 1931, the young mathematician Kurt Gödel made a landmark discovery, as powerful as anything Albert Einstein developed. Gödel’s discovery not only applied to mathematics but literally all branches of science, logic and human knowledge. Oddly, few people know anything about it. Allow me to tell you the story. Mathematicians love proofs. So for example if you studied high school Geometry, you’ve done the exercises where you prove all kinds of things about triangles based on a list of theorems. That high school geometry book is built on Euclid’s five postulates. Yes, it does seem perfectly reasonable that a line can be extended infinitely in both directions, but no one has been able to PROVE that. Towering mathematical geniuses were frustrated for 2000+ years because they couldn’t prove all their theorems. “I am lying.” 1. 1.
Free Classic AudioBooks. Digital narration for the 21st Century Get the Free Version - Free, open-source software to help you save money. The 17 best VST plug-in synths in the world today | Page 7 There's no denying that there's been a boom in hardware synth sales over the past couple of years - particular of affordable analogue ones - but if you want to benefit from great sound, convenience and tight integration with your DAW, it's hard to argue with what the best of today's plugin synths have to offer. Sure, many of the cutting-edge instruments impose a considerable CPU hit, and others are either clearly-labelled or thinly-veiled emulations of hardware synths from the past, but being able to call upon a vast range of incredible synths with just a click of a mouse remains a joy, and something that no one who started making electronic music in the pre-VSTi/AU days will ever take for granted. What follows is our guide to the 54 best VST, AU and other native format plugin synths in the world today. The countdown is decided by MusicRadar users’ nominations and votes. Got that? NEXT: Subatomic Software Audulus
California Learning Resource Network This textbook and Internet resource provides introductory information, concept or skill development in Mathematics for grade 9, 10, 11, and 12 students who are at grade level in a single student situation. Brief Description CK-12’s Geometry delivers a full course of study in the mathematics of shape and space for the high school student, relating the ancient logic and modern applications of measurement and description to its essential elements, processes of reasoning and proof, parallel and perpendicular lines, congruence and similarity, relationships within triangles and among quadrilaterals, trigonometry of right triangles, circles, perimeter, area, surface area, volume, and geometric transformations. This digital textbook was reviewed for its alignment with the content standards only; California’s Social Content Review criteria were not applied. A correlation document is available. Email to a friend. Add to your Reminders.
How to Make Google Translate Beatbox | Geekosystem - StumbleUpon Not sure if this falls in the category of Easter Egg or clever manipulation, but either way, there go our afternoons: Redditor harrichr has devised a scheme for turning Google Translate into a makeshift beatbox machine. 1) Go to [1] Google Translate2) Set the translator to translate German to German3) Copy + paste the following into the translate box: pv zk pv pv zk pv zk kz zk pv pv pv zk pv zk zk pzk pzk pvzkpkzvpvzk kkkkkk bsch4) Click “listen”5) Be amazed :) For the lazy, just click this link and it’ll be done for you. There’s nothing magical about this particular sequence, and there’s tons of room for experimentation: In German, anyway, “pv” and “zk” make complementary breathy sounds and clicks, respectively. Update: Hacker News reader iamdave has come up with a pretty comprehensive Google Translate beatboxing guide: (Reddit via Create Digital Music)
The Grey Labyrinth: The Labyrinthians' Exchange by Kevin J. Lin Two exceptionally quick-witted Labyrinthians were invited to a party in their honor. The party was to be held in a private house in the city of Mathematica. Mathematica, predictably, is laid out in a perfect grid. Every house's address is composed of two positive numbers, indicating its relative position to the Townhall in the southwest corner. Currently Mathematica is one hundred by hundred houses in area. Our two famed puzzlers, let's call them Samantha and Paul, were both given the address weeks in advance. Paul: I'm afraid I've forgotten the address. Paul and Samantha were being perfectly truthful, and no other information was exchanged apart from this dialog. What was the party's address?
Finding Moonshine: Dara O'Briain's School of Hard Sums I am co-hosting a mad comedy maths game show with Dara O'Briain on the TV channel Dave. I was away filming for another series last week when an episode was aired that required some calculus. I got lots of tweets and emails about the problem so thought it worth just explaining how you solve it. It's got some great maths in it. Problem: A lifeguard at the beach spots a swimmer in distress in the water. They need to run across the sand to the water and then swim out to rescue the swimmer. Lets suppose the lifeguard's running speed is v1 and swimming speed is v2. We note that v1=2*v2. There is also a cute physical way you could use to solve this puzzle. When you set the differential to 0 and expand it then they will get a quartic polynomial. At school you learn about a formula for solving quadratic equations. Glorious...if you like that kind of thing. Why do we need to do quadratic equations at school? Solving quadratic equations is something we do every time you catch a ball.
Learn UNIX in 10 minutes Learn UNIX in 10 minutes. Version 1.3 Preface This is something that I had given out to students (CAD user training) in years past. The purpose was to have on one page the basics commands for getting started using the UNIX shell (so that they didn't call me asking what to do the first time someone gave them a tape). This document is copyrighted but freely redistributable under the terms of the GFDL . Send me patches, comments, corrections, about whatever you think is wrong or should be included. Directories:Moving around the file system:Listing directory contents:Changing file permissions and attributesMoving, renaming, and copying files:Viewing and editing files:Shells Environment variablesInteractive HistoryFilename CompletionBash is the way cool shell.