Common Errors in English Usage Use the search form below to find words and phrases on this site. About this Search Engine E e.g. / i.e. each early adapter earmarks / hallmark earth, moon easedrop ecology / environment economic / economical ecstatic ect. G GP practice gaff / gaffe gamut / gauntlet gander / dander gardener snake / garter snake garnish / garner gauge / gouge gaurd genius gender genuine gerunds & pronouns get me Ghandi gibe / jibe / jive gift / give gig / jig gild / guild goal / gaol goal / objective god goes going forward gone / went gonna good / well good-by / good-bye / goodby /goodbye got / gotten got to government graduate graffiti grammer grasping for straws gratis / gratuitous gray / grey greatful grevious grill / grille grill cheese grisly / grizzly group (singular vs. plural) ground zero grow guess who? K key kick-start killed after kindly kindergarden knots per hour koala bear
How Quantum Suicide Works" A man sits down before a gun, which is pointed at his head. This is no ordinary gun; it's rigged to a machine that measures the spin of a quantum particle. Each time the trigger is pulled, the spin of the quantum particle -- or quark -- is measured. Nervously, the man takes a breath and pulls the trigger. Go back in time to the beginning of the experiment. But, wait. This thought experiment is called quantum suicide.
Natural Language Toolkit Imagining the Fourth Dimension A direct link to the above video is at Here's where we start getting into some possible confusion because the same word can have many different meanings. When people say that "time" is the fourth dimension, what does that mean? The fourth dimension adds a way for the third dimension to change: this is obvious when we say "the third dimension is space without time". But the more we learn about "space-time" and general relativity, the more we realize that time is not just an arrow. This is why, with this project, I prefer to call the fourth dimension duration. Here's something important to remember: none of these dimensions exist in isolation. So. In "Aren't There Really 11 Dimensions?" Likewise, persons who talk about tesseracts as being four-dimensional objects say that this is what the real fourth dimension is like, but what we're really talking about with a tesseract or any other n-dimensional shape is the same as a cube: it's an idea.
Weierstrass functions Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". Here is an example of one: It is not hard to show that this series converges for all x. In fact, it is absolutely convergent. It is also an example of a fourier series, a very important and fun type of series. Here's a graph of the function. You can see it's pretty bumpy. Below is an animation, zooming into the graph at x=1. Wikipedia and MathWorld both have informative entries on Weierstrass functions. back to Dr.
Neil deGrasse Tyson Neil deGrasse Tyson (/ˈniːəl dəˈɡræs ˈtaɪsən/; born October 5, 1958) is an American astrophysicist, author, and science communicator. He is currently the Frederick P. Rose Director of the Hayden Planetarium at the Rose Center for Earth and Space and a research associate in the department of astrophysics at the American Museum of Natural History. From 2006 to 2011, he hosted the educational science television show NOVA ScienceNow on PBS and has been a frequent guest on The Daily Show, The Colbert Report, Real Time with Bill Maher, and Jeopardy!. Early life[edit] Tyson was born as the second of three children in the borough of Manhattan in New York City and was raised in the Bronx.[1] His mother, Sunchita Marie (Feliciano) Tyson, was a gerontologist, and his father, Cyril deGrasse Tyson, was a sociologist, human resource commissioner for the New York City mayor John Lindsay, and the first Director of Harlem Youth Opportunities Unlimited.[3][4] Career[edit] In 2001, US President George W.
6174 (number) 6174 is known as Kaprekar's constant[1][2][3] after the Indian mathematician D. R. Kaprekar. Take any four-digit number, using at least two different digits. 9990 – 0999 = 8991 (rather than 999 – 999 = 0) 9831 reaches 6174 after 7 iterations: 8820 – 0288 = 8532 (rather than 882 – 288 = 594) 8774, 8477, 8747, 7748, 7487, 7847, 7784, 4877, 4787, and 4778 reach 6174 after 4 iterations: Note that in each iteration of Kaprekar's routine, the two numbers being subtracted one from the other have the same digit sum and hence the same remainder modulo 9. Sequence of Kaprekar transformations ending in 6174 Sequence of three digit Kaprekar transformations ending in 495 Kaprekar number Bowley, Rover. "6174 is Kaprekar's Constant". Erik Verlinde Erik Peter Verlinde (born 21 January 1962) is a Dutch theoretical physicist and string theorist. He is the identical twin brother of physicist Herman Verlinde. The Verlinde formula, which is important in conformal field theory and topological field theory, is named after him. His research deals with string theory, gravity, black holes and cosmology. Currently he works at the Institute for Theoretical Physics at the University of Amsterdam. At a symposium at the Dutch Spinoza-institute on 8 December 2009 he introduced a theory of entropic gravity. References[edit] External links[edit]
Collatz conjecture The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem;[1][2] the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud),[3][4] or as wondrous numbers.[5] Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Paul Erdős said about the Collatz conjecture: "Mathematics may not be ready for such problems In 1972, J. Statement of the problem[edit] Histogram of stopping times for the numbers 1 to 100 million. Numbers from 1 to 9999 and their corresponding total stopping time.
Hyper-Lexikon: Spencer-Brown Spencer-Brown, George: Laws of Form - Gesetze der Form. Bohmeier-Verlag, Lübeck 1997 S.194: "When we die the self-boundary eventually disappears. Before it did so, we ascribed a huge value to what we called 'inside' of ourselves, and comparativeley little value to what we called 'outside'. The death experience is thus ultimatley the loss of the selective blindness to see both sides of every distinction equally. "Form Call the space cloven by any distinction, together with the entire content of the space, the form of distinction. "Content Call it the first distinction. "An observer, since he distinguishes the space he occupies, is also a mark." (76) [] The story about getting Russell to endorse the book is in the Preface to the Fifth English Edition (I just got hold of my sister's signed copy! Anyway, on the back, there's these endorsements: "He is by far the best pupil I have ever taught." From Bohmeier Verlag's website, here's the preface: The Two Notes Which Go With the Excerpt:
Richard E. Bellman Richard Ernest Bellman (August 26, 1920 – March 19, 1984) was an American applied mathematician, celebrated for his invention of dynamic programming in 1953, and important contributions in other fields of mathematics. Biography[edit] Later in life, Richard Bellman's interests began to emphasize biology and medicine, which he identified as ``the frontiers of contemporary science. In 1967, he became founding editor of the journal Mathematical Biosciences which specialized in the publication of applied mathematics research for medical and biological topics. In 1985, the Bellman Prize in Mathematical Biosciences was created in his honor, being award biannually to the journal's best research paper. Bellman was diagnosed with a brain tumor in 1973, which was removed but resulted in complications that left him severely disabled. Work[edit] Bellman equation[edit] Hamilton–Jacobi–Bellman equation[edit] Curse of dimensionality[edit] Bellman–Ford algorithm[edit] Publications[edit] 1957. References[edit]