The On-Line Encyclopedia of Integer Sequences™ (OEIS™) Calculus Online Book Slingshot Instructions: (after you've read these, click here to get a bigger picture.) Click and drag the arrow to change the direction of launch of the spaceship. Choose Jupiter's path distance (the shortest distance of the initial launch point from Jupiter's orbital path) and initial speed of the spaceship. RESET: puts Jupiter into ready position at far left START: Jupiter begins moving at its orbital speed SHOOT: launches the spaceship Zoom in or out to see the full orbit of the spaceship! You can also right-click on the movie and zoom in to get a better view of the objects. Note: Jupiter moves through a distance equal to its diameter in about 3 hours. *** This flashlet demonstrates in a semiquantitative way how a properly directed spaceship can pick up energy from a moving planet. Jupiter Data : Chinese version Copyright © Michael Fowler 2004
The Thirty Greatest Mathematicians Click for a discussion of certain omissions. Please send me e-mail if you believe there's a major flaw in my rankings (or an error in any of the biographies). Obviously the relative ranks of, say Fibonacci and Ramanujan, will never satisfy everyone since the reasons for their "greatness" are different. I'm sure I've overlooked great mathematicians who obviously belong on this list. Following are the top mathematicians in chronological (birth-year) order. Earliest mathematicians Little is known of the earliest mathematics, but the famous Ishango Bone from Early Stone-Age Africa has tally marks suggesting arithmetic. Early Vedic mathematicians The greatest mathematics before the Golden Age of Greece was in India's early Vedic (Hindu) civilization. Top Thales of Miletus (ca 624 - 546 BC) Greek domain Thales was the Chief of the "Seven Sages" of ancient Greece, and has been called the "Father of Science," the "Founder of Abstract Geometry," and the "First Philosopher." Tiberius(?)
Living Earth Simulator will simulate the entire world Described as a “knowledge collider,” and now with a pledge of one billion euros from the European Union, the Living Earth Simulator is a new big data and supercomputing project that will attempt to uncover the underlying sociological and psychological laws that underpin human civilization. In the same way that CERN’s Large Hadron Collider smashes together protons to see what happens, the Living Earth Simulator (LES) will gather knowledge from a Planetary Nervous System (PNS — yes, really) to try to predict societal fluctuations such as political unrest, economic bubbles, disease epidemics, and so on. The scale of the LES, when it’s complete, will be huge. It is hoped that supercomputing centers all over the world will chip in with CPU time, and data will be corralled from existing projects and a new Global Participatory Platform, which is basically open data on a worldwide scale. The project also has commercial backing from Microsoft Research, IBM, Yahoo Research, and others.
Ground Zero II | Carloslabs Have you ever wondered what would happen if a nuclear bomb goes off in your city? With Google's Maps framework and a bit of Javascript, you can see the outcome. And it doesn't look good. Now with Nuclear Fallout, Wind and Pressure Just what you need to be safe in these turbulent times: enter the address of that boss, teacher, colleague or loved one; select a weapon and a damage map mode. By clicking repeatedly on "Fallout" you can change the wind direction at the moment of the explosion. Where's the older version? Copy and paste the following to mashup the Ground Zero II script into your own website or blog: A ZIP archive with the source code can be found here. Science Caveat The damage caused by a nuclear explosion is affected by a multitude of variables, and some of these require powerful super-computers to be simulated properly. Fallout shows the possible dispersion of radioactive isotopes after six hours of the explosion, assuming a constant gentle breeze. Project: 200903A
Tanya Khovanova’s Math Blog » Blog Archive » Divisibility by 7 is a Walk on a Graph, by David Wilson My guest blogger is David Wilson, a fellow fan of sequences. It is a nice exercise to understand how this graph works. When you do, you will discover that you can use this graph to calculate the remainders of numbers modulo 7. Back to David Wilson: I have attached a picture of a graph. Write down a number n. For example, if n = 325, follow 3 black arrows, then 1 white arrow, then 2 black arrows, then 1 white arrow, and finally 5 black arrows. If you end up back at the white node, n is divisible by 7. Nothing earth-shattering, but I was pleased that the graph was planar.
Interactive Mathematics Miscellany and Puzzles Complicated Mechanisms Explained in simple animations - GadgetsWow.com Radial Engines Radial engines are used in aircrafts having propeller connected to the shaft delivering power in order to produce thrust its basic mechanism is as follows Steam engine Principle Steam engine once used in locomotives was based on the reciprocating principle as shown below Sewing Machine Maltese Cross Mechanism this type of mechanism is used in clocks to power the second hand movement. Manual Transmission Mechanism The mechanism also called as “stick shift” is used in cars to change gears mannually Constant Velocity Joint This mechanism is used in the front wheel drive cars Torpedo-Boat destroyer System This system is used to destroy fleet in naval military operations. Rotary Engine Also called as Wankel engine is a type of internal combustion engine has a unique design that converts pressure into rotating motion instead of reciprocating pistons
Number Names Here are large number names and their scientific notation equivalents. 1,000,000 = one million = 10^6 1,000,000,000 = one billion = 10^9 1,000,000,000,000 = one trillion = 10^12 1,000,000,000,000,000 = one quadrillion = 10^15 1,000,000,000,000,000,000 = one quintillion = 10^18 1,000,000,000,000,000,000,000 = one sextillion = 10^21 1,000,000,000,000,000,000,000,000 = one septillion = 10^24 1,000,000,000,000,000,000,000,000,000 = one octillion = 10^27 1,000,000,000,000,000,000,000,000,000,000 = one nonillion = 10^30 1,000,000,000,000,000,000,000,000,000,000,000 = one decillion = 10^33 1,000,000,000,000,000,000,000,000,000,000,000,000 = one undecillion = 10^36 1,000,000,000,000,000,000,000,000,000,000,000,000,000 = one duodecillion = 10^39 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000 = one tredecillion = 10^42 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 = one quattuordecillion = 10^45 That would mean one googol is A while back I received an e-mail from Chris Meador.
9 Mental Math Tricks Math can be terrifying for many people. This list will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head. 1. Multiplying by 9, or 99, or 999 Multiplying by 9 is really multiplying by 10-1. So, 9×9 is just 9x(10-1) which is 9×10-9 which is 90-9 or 81. Let’s try a harder example: 46×9 = 46×10-46 = 460-46 = 414. One more example: 68×9 = 680-68 = 612. To multiply by 99, you multiply by 100-1. So, 46×99 = 46x(100-1) = 4600-46 = 4554. Multiplying by 999 is similar to multiplying by 9 and by 99. 38×999 = 38x(1000-1) = 38000-38 = 37962. 2. To multiply a number by 11 you add pairs of numbers next to each other, except for the numbers on the edges. Let me illustrate: To multiply 436 by 11 go from right to left. First write down the 6 then add 6 to its neighbor on the left, 3, to get 9. Write down 9 to the left of 6. Then add 4 to 3 to get 7. Then, write down the leftmost digit, 4. So, 436×11 = is 4796. Let’s do another example: 3254×11. 3. 4. 5.
Animal Sleep Most animals have a daily pattern of rest and activity. Some animals are more active during the day (diurnal) and some are more active during the night (nocturnal). How much time do animals spend sleeping? Well, it depends on the animal: References: This table was adapted from four sources: Aserinsky, E., Eyelid condition at birth: relationship to adult mammalian sleep-waking patterns, In Rapid Eye Movement Sleep, edited by B.N.