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+
Catalyst: Graham Number - ABC TV Science Simon PampenaWhat's the biggest number you can think of? Infinity? Sure. But that's a cop-out. NARRATIONMathematician Ron Graham came across a really big number in his research 30 years ago. Prof Ron GrahamHow big is this number? Simon PampenaA better question would be, 'What's the biggest finite number you can think of?' NARRATIONWell, if a little boy started saying 'trillions' on his fifth birthday... BOYTrillion, trillion, trillion... NARRATION..and kept going... Simon PampenaTrillion, trillion... NARRATION..and going... MANTrillion, trillion... ELDERLY MANTrillion, trillion... NARRATION..all the way into old age, then he would've recited a number close to one, followed by 34 billion zeros. ALLTrillion, trillion... Simon PampenaA life well spent. NARRATIONWe represent these towers with arrow notation, developed by computer scientist Don Knuth. Simon PampenaBut put simply, it's just a whole lot of threes multiplied together. Simon PampenaWhy is this important? Simon PampenaHm. ^ top
The Pi Manifesto - No, really, pi is right! 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.
המתמטיקאי שמצא אהבה כנגד הסיכויים מאת רנה מרגלית ראו הוזהרתם, זה סיפור עם סוף טוב. ב-2010 היה פיטר באקוס דוקטורנט במחלקה למתמטיקה של אוניברסיטת וורוויק באנגליה, ובמסגרת לימודיו הטיל עליו המנחה שלו להגדיר יישום "מעשי ורלוונטי" לנוסחה שנותרה עד היום תאורטית בלבד. באקוס הגיש תזה מנומקת על-פני ארבעה עמודים: "למה אין לי חברה: יישום של נוסחת דרייק לאהבה בממלכה המאוחדת". "נוסחת דרייק", על-שם האסטרונום האמריקאי ד"ר פרנק דרייק, מבקשת לקבוע את המספר התאורטי של תרבויות בגלקסיית שביל החלב שיוכלו ליצור תקשורת רדיו עם האנושות, ובכך להגיע לאומדן של הסיכוי ליצור קשר עם חיים מחוץ לכדור הארץ. "הסיכוי לאתר תרבות כזאת בגלקסיה שלנו מאוד נמוך," כתב באקוס, "וברצוני להשתמש בנוסחת דרייק כדי לאמוד את הסיכויים להיתכנות של ישות אף נדירה יותר: בת זוג שתתאים לי". נוסחת דרייק היא: כאשר N הוא מספר התרבויות בגלקסיה. מצד אחד הוא רווק בן 31 ללא מערכת יחסים (באקוס שתל בתזה רמזים לפיהם הוא גם בתול), ומצד שני הסטנדרטים שלו לא נמוכים: הוא חיפש רווקה בגיל 24 עד 34, בעלת השכלה אקדמית ו"מושכת". ומכאן ועד למסקנה האכזרית היתה הדרך קצרה: ולמה התזה שלו מככבת היום במדור הזה?
Arithmetic zeta function Definition[edit] The arithmetic zeta function ζX (s) is defined by an Euler product analogous to the Riemann zeta function: where the product is taken over all closed points x of the scheme X. Equivalently, the product is over all points whose residue field is finite. The cardinality of this field is denoted N(x). Examples[edit] For example, if X is the spectrum of a finite field with q elements, then If X is the spectrum of the ring of integers, then ζX (s) is the Riemann zeta function. The zeta function of affine and projective spaces over a scheme X are given by The latter equation can be deduced from the former using that, for any X that is the disjoint union of a closed and open subscheme U and V, respectively, Even more generally, a similar formula holds for infinite disjoint unions. Such an expression ranging over each prime number is sometimes called Euler product and each factor is called Euler factor. Main conjectures[edit] Meromorphic continuation and functional equation[edit]
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.
Googolplex Number ten to the power of a googol A googolplex is the number 10googol, or equivalently, 10(10100). Written out in ordinary decimal notation, it is 1 followed by 10100 zeroes; that is, a 1 followed by a googol zeroes. History[edit] In 1920, Edward Kasner's nine-year-old nephew, Milton Sirotta, coined the term googol, which is 10100, and then proposed the further term googolplex to be "one, followed by writing zeroes until you get tired".[1] Kasner decided to adopt a more formal definition because "different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Size[edit] A typical book can be printed with 106 zeros (around 400 pages with 50 lines per page and 50 zeros per line). In pure mathematics[edit] In the physical universe[edit] 1097 is a high estimate of the elementary particles existing in the visible universe (not including dark matter), mostly photons and other massless force carriers.[6] Mod n[edit] See also[edit] References[edit]
Cassini oval Some Cassini ovals. (b = 0.6a, 0.8a, a, 1.2a, 1.4a, 1.6a) Cassini ovals are named after the astronomer Giovanni Domenico Cassini who studied them in 1680.[1] Other names include Cassinian ovals, Cassinian curves and ovals of Cassini. Formal definition[edit] Equations[edit] If the foci are (a, 0) and (−a, 0), then the equation of the curve is When expanded this becomes The equivalent polar equation is Form of the curve[edit] The shape of the curve depends, up to similarity, on e = b/a. ), in which case the foci coincide with each other, is a circle. The curve always has x-intercepts at ±c where c2 = a2 + b2. The curve has double points at the circular points at infinity, in other words the curve is bicircular. The tangents at the circular points are given by x ± iy = ±a which have real points of intersection at (±a, 0). So the additional foci are on the x-axis when the curve has two loops and on the y-axis when the curve has a single loop.[7] Examples[edit] References[edit] J. External links[edit]
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.