Pascal's Triangle Patterns Within the Triangle Using Pascal's Triangle Heads and Tails Pascal's Triangle can show you how many ways heads and tails can combine. This can then show you the probability of any combination. For example, if you toss a coin three times, there is only one combination that will give you three heads (HHH), but there are three that will give two heads and one tail (HHT, HTH, THH), also three that give one head and two tails (HTT, THT, TTH) and one for all Tails (TTT). Example: What is the probability of getting exactly two heads with 4 coin tosses? There are 1+4+6+4+1 = 16 (or 24=16) possible results, and 6 of them give exactly two heads. Combinations The triangle also shows you how many Combinations of objects are possible. Example: You have 16 pool balls. Answer: go down to the start of row 16 (the top row is 0), and then along 3 places (the first place is 0) and the value there is your answer, 560. Here is an extract at row 16: A Formula for Any Entry in The Triangle Yes, it works!
Top 6 Sites that Inspire and Educate & Life Scoop - StumbleUpon If you’re a professional who likes to be intellectually stimulated and you enjoy keeping up with the latest news and breaking trends, the internet provides you with an endless choice of carefully curated sites to visit. Today, we bring you six of them that we believe are leaps and bounds above the rest. These sites will not only educate you on topics ranging from business and technology to art and design, they’ll motivate you to find your own, original ideas and see them through. They’re culturally relevant, they’re idea driven and most of all, they’re deeply inspirational. TED is short for three incredibly important subjects in our modern world; technology, entertainment and design. Tip: Download TED’s free iPad app to browse through 800 videos by date, popularity or keyword. 2. Brain Pickings started from very humble beginnings. Tip: With over 63K Twitter followers, Brainpicker has a strong audience…and for good reason. 4. 5.
Mark Jenkins // Street Installations Kristiansand, Norway London, England Montreal, Canada Cologne, Germany Besançon Rome Rio de Janeiro Tudela London Dublin Moscow Winston-Salem Seoul Royan Bordeaux Puerto del Rosario Barcelona Malmö Washington DC Washington, DC Nerd Paradise : Divisibility Rules for Arbitrary Divisors It's rather obvious when a number is divisible by 2 or 5, and some of you probably know how to tell if a number is divisible by 3, but it is possible to figure out the division 'rule' for any number. Here are the rules for 2 through 11... The last digit is divisible by 2. The sum of all the digits in the number is divisible by 3. The last 2 digits are divisible by 4. The last digit is 5 or 0. The number is both divisible by 2 and divisible by 3. Cut the number into 2 parts: the last digit and everything else before that. The last 3 digits are divisible by 8 The sum of all the digits in the number is divisible by 9. The last digit is a 0. Break the number into two parts (like you did for the division by 7 rule). Also there is a quick way for determining divisibility by 11 for 3-digit numbers: If the inner digit is larger than the two outer digits, then it is divisible by 11 if the inner digit is the sum of the two outer digits. Rules for all divisors ending in 1... User Comments: 9 Dividing By 12
keybr.com - Take typing speed test and practice typing online Yarn Bombing / Guerrilla Crochet - A Collection | STREET ART UTOPIA More info. More info. More info. More Yarn Bombing and Guerrilla Crochet: 1) B-Arbeiten 2) Agata Olek 3) Yarnbombing 4) Stickkontakt Leave a reply Related posts 12 beloved Street Art Photos - May 2013 Urban Art Biennial (BAU) - In Cochabamba, Bolivia By Alice for Urban Contest 2012 - In Rome, Italy Animated Bézier Curves Play with the control points to modify the curves! These animations illustrate how a parametric Bézier curve is constructed. The parameter t ranges from 0 to 1. For a second-order or quadratic Bézier curve, first we find two intermediate points that are t along the lines between the three control points. Written using the D3 visualisation library. Requires a SVG-capable browser e.g. © Jason Davies | Privacy Policy.
The Tool Works at Both Ends From chipping out spearheads in primitive times to modern day tinkering with computer chips, men have always been very connected to their tools. For thousands of years tools have magnified and extended our natural abilities, allowing us to gain power and control over nature and our circumstances and better fulfill our roles as providers and protectors. Tools enable us to mold and shape things in our external environment for our use and benefit. And that is what we typically focus on when it comes to tools: what does this tool allow me to do? But something else you need to think about is this: what is this tool doing to me? You may have heard that tools are neutral things. The way in which you use your tools creates real biological and neurological changes in your brain, which fundamentally alters who you are. This Is Your Brain on Tools And also by the tools we use. The brains of the literate and illiterate have been shown to handle interhemispheric processing differently. Tool Tradeoffs
The Infinity Room With this immersive installation, French artist Serge Salat invites visitors to take a journey through endless layers of space, decked out with cubic shapes, panels of mirrors, shifting lights and music. “Beyond Infinity” is a multi-sensory, multimedia experience that blends Eastern Chinese with Western Renaissance. Inspired by the Suzhou Gardens, a masterpiece of Chinese landscape, the three-lined trigram of I Ching is the main pattern that organizes the space of the work. via [Architizer] Views: 422998 Tags: Serge Salat, The Infinity Room, architecture, design Two-dimensional Geometry and the Golden section On this page we meet some of the marvellous flat (that is, two dimensional) geometry facts related to the golden section number Phi. A following page turns our attention to the solid world of 3 dimensions. Contents of this Page The icon means there is a Things to do investigation at the end of the section. 1·61803 39887 49894 84820 45868 34365 63811 77203 09179 80576 ..More.. Let's start by showing how to construct the golden section points on any line: first a line phi (0·618..) times as long as the original and then a line Phi (1·618..) times as long. Constructing the internal golden section points: phi If we have a line with end-points A and B, how can we find the point which divides it at the golden section point? (In fact we can do it with just the compasses, but how to do it without the set-square is left as an exercise for you.) We want to find a point G between A and B so that AG:AB = phi (0·61803...) by which we mean that G is phi of the way along the line. Using only circles
Go equipment History[edit] The oldest known surviving Go equipment is a board carved from rock that dates from the Han Dynasty in China. Other examples of ancient equipment can be found in museums in Japan and Korea. Equipment[edit] Board[edit] An empty go board, with the 19x19 intersecting lines The Go board, called the goban 碁盤 in Japanese, is the playing surface on which to place the stones. Traditional Japanese goban usually follow the dimensions: (1 inch = 25.4 mm; 1 shaku = 100 bu = 303 mm) Go boards fall into several types or styles. Economical boards comprise paper, plastic, or laminate, which can easily be folded away and stored. Taking care of boards[edit] Wooden boards should be properly stored[vague] to prevent pieing, discoloration, woodworm, mold and other serious wear; prolonged exposure to sunlight can bleach the board. Stones[edit] Glass Go stones Go stones, or go-ishi 碁石,棋子, are round objects placed on the board. The Japanese and Korean style, which is lens shaped (i.e. biconvex).
Global Warming Uncovers Corpses Frozen in Time Photo via Last Days of the Incas Five hundred years ago, three Inca children were left to freeze high in the cold Argentinian Andes as a religious sacrifice. In time, their bodies mummified, having been swallowed in snow and entombed within the glacier, lost to time. But centuries later, in a warmer world, their perfectly-preserved corpses were discovered beneath the melting snow -- an increasingly common sight. Experts say that as glaciers continue to recede throughout the world, more of their long-guarded secrets will be revealed in the warm grip of a changing climate. When the three Inca children were discovered thanks to melting in the Andes, their well-preserved, mummified remains helped advance archeological knowledge of their rather mysterious civilization. For example, the frozen body of 24-year-old pilot, Benjamin Rafael Pabón, was discovered by hikers in Peru -- over 20 years after his plane crashed in the Andes. Photo: Noah Friedman-Rudovsky for The New York Times