41. Null Hypothesis | The Journal Of Unlikely Science A lighthearted look at the weird world of science and technology. A mixture of spoof science and fascinating real research mixed up with everything that s http://www.null-hypothesis.co.uk/

42. Some Extended Zeta Functions Provide Easy Proofs Of Riemann's Hypothesis Generalisations of the zeta function might provide a proof of Riemann s hypothesis. http://www.coolissues.com/mathematics/Zeta/zeta.htm

Some Extended Zeta Functions Provide Easy Proofs of Riemann's Hypothesis This page is now subject to the author's counterexample at http://www.coolissues.com/mathematics/Riemann/disproof.htm James Constant math@coolissues.com While extended zeta functions support investigations of Riemann's hypothesis and estimates for the Prime Number Theorem, some zeta functions offer better prospects for providing easy proofs. Definitions A first zeta function is defined by oo z(s)= s=x+jy n=1 A second zeta function is defined by oo z(1-s)= s=x+jy n=1 In 1859, Riemann had the idea to define z(s) for all complex numbers s by analytic extension. This extension is important in number theory and plays a central role in the distribution of prime numbers. One way of extending is by using the first f function alternating series defined by oo f(s)= s=x+jy n=1 1 by means of the formula f(s)=(1-2 )z(s) A second f function is defined by oo f(1-s)= s=x+jy n=1 1 by means of the formula f(1-s)=(1-2 )z(1-s) Equations (1) through (6) are analytic. Riemann's Extended Zeta Function and Functional Equation Euler (1737) noted that the formula n

43. Hypotheses What is a hypothesis? A hypothesis is an educated guess. It can be an educated guess about what nature is going to do, or about why nature does what it does. http://www.batesville.k12.in.us/physics/phynet/aboutscience/Hypotheses.html

Hypotheses Chapter 1 Objectives BHS Mr. Stanbrough Physics ... About Science What is a Hypothesis? A hypothesis is an "educated guess." It can be an educated guess about what nature is going to do, or about why nature does what it does. "Hypotheses are single tentative guessesgood hunchesassumed for use in devising theory or planning experiment, intended to be given a direct experimental test when possible." (Eric M. Rogers, "Physics for the Inquiring Mind." (Princeton University Press, Princeton, NJ, 1966) What makes a statement a scientific hypothesis, rather than just an interesting speculation? A scientific hypothesis must meet 2 requirements: A scientific hypothesis must be testable , and; A scientific hypothesis must be falsifiable A Scientific Hypothesis Must Be "Testable". Science proceeds by making observations of nature (experiments). If a hypothesis does not generate any observational tests, there is nothing that a scientist can do with it. Arguing back-and-forth about what should happen, or what ought to happen, is not the way science makes progress. Consider this hypothesis: Hypothesis A: "Our universe is surrounded by another, larger universe, with which we can have absolutely no contact."

44. Proof Of Riemann's Hypothesis A claimed proof of Riemann s hypothesis. http://www.coolissues.com/mathematics/Riemann/riemann.htm

PROOF OF RIEMANN'S HYPOTHESIS James Constant math@coolissues.com Riemann's hypothesis is proved using Riemann's functional equation This page is now subject to the author's counterexample at http://www.coolissues.com/mathematics/Riemann/disproof.htm Introduction The famous conjecture known as Riemann' s hypothesis is to classical analysis what Fermat's last theorem is to arithmetic. Euler (1737) noted that the formula the sum extending to all positive integers n , and the product to all positive primes p. The necessary conditions of convergence hold for complex values of s with real part Considering as a function of the complex variable s , Riemann (1859) proved that satisfies a functional equation which led Riemann to the theorem that all the zeros of , except those at s=-2,-4,-6, . . . , lie in the strip of the s-plane for which where x is the real part of s . Riemann conjectured that all the zeros in the strip should lie on the line Attempts to prove or disprove this conjecture have generated a vast and intricate department of analysis, especially since Hardy (1914) proved that has an infinity of zeros on The question is still open in 2008. A prize is available to prove or disprove Riemann's hypothesis.

45. Hypothesis - Wiktionary A tentative conjecture explaining an observation, phenomenon or scientific problem that can be tested by further observation, investigation and/or experimentation. (general http://en.wiktionary.org/wiki/hypothesis

hypothesis Definition from Wiktionary, the free dictionary Jump to: navigation search Wikipedia has an article on: Hypothesis Wikipedia Contents English Etymology Pronunciation Noun ... edit English edit Etymology Recorded since 1596, from Middle French hypothese , from Late Latin hypothesis , from Ancient Greek hupothesis base, basis of an argument, supposition , literally “a placing under”, itself from hupotithēmi I set before, suggest from upo below tithēmi I put, place edit Pronunciation IPA /haɪˈpɒθɪsɪs/ Audio (US) file edit Noun hypothesis plural hypotheses sciences A tentative conjecture explaining an observation phenomenon or scientific problem that can be tested by further observation investigation and/or experimentation (general) An assumption taken to be true for the purpose of argument or investigation grammar The antecedent of a conditional statement edit Synonyms supposition theory thesis educated guess ... guess See also Wikisaurus:supposition edit Derived terms hypothesize hypothetic hypothetical hypothetically ... edit Related terms alternative hypothesis ergodic hypothesis Avogadro's hypothesis Fisher hypothesis ... edit Translations tentative conjecture in science Arabic: ar (ar) f Armenian: hy (hy) Chinese: cmn (cmn) cmn (cmn) ... trad.

46. Hypothesis - Definition From Biology-Online.org Definition and other additional information on hypothesis from BiologyOnline.org dictionary. http://www.biology-online.org/dictionary/Hypothesis

Login Welcome to biology-online.org! Please login to access all site features. Create account Log me on automatically each visit Join for Free! Answers to all your Biology Questions Search dictionary Search site wide Edit page Page history Printable version ... Hypothesis Hypothesis Definition noun, plural: hypotheses A supposition or tentative explanation for (a group of) phenomena, (a set of) facts, or a scientific inquiry that may be tested, verified or answered by further investigation or methodological experiment Supplement A scientific hypothesis that has been verified through scientific experiment and research may well be considered a scientific theory Word origin: Gk hypóthesis basis, supposition. Derived terms: hypothesize ( verb ), hypothetical ( adjective ), hypothetically ( adverb Related terms: alternative hypothesis michaelis-menten hypothesis neyman-pearson statistical hypothesis null hypothesis ... wobble hypothesis Compare: law theory Please contribute to this project, if you have more information about this term feel free to edit this page Results from our forum Pitfalls of Evolutionary Psychology: Exaptation ... your chances to reproduce. The joy from hearing music or playing music is intrinsic to itself and not tied to reproduction. I’m going to label the hypothesis that many features of human behavior are based on the versatility of the brain and NOT individually based on behaviors conducive to reproduction ...

47. Hypothesis - Definition Of Hypothesis In The Medical Dictionary - By The Free On hypothesis /hy poth e sis/ (hipoth ĕ-sis) a supposition that appears to explain a group of phenomena and is advanced as a basis for further investigation. http://medical-dictionary.thefreedictionary.com/hypothesis

48. The Sapir-Whorf Hypothesis 1999 overview of the history and development of the theories of linguistic determinism and linguistic relativity. By Rebecca Ash. http://www.angelfire.com/journal/worldtour99/sapirwhorf.html

The Sapir-Whorf Hypothesis From George Orwell's The Sapir-Whorf hypothesis theorizes that thoughts and behavior are determined (or are at least partially influenced) by language. If true in its strongest sense, the sinister possibility of a culture controlled by Newspeak or some other language is not just science fiction. Since its inception in the 1920s and 1930s, the Sapir-Whorf hypothesis has caused controversy and spawned research in a variety of disciplines including linguistics, psychology, philosophy, anthropology, and education. To this day it has not been completely disputed or defended, but has continued to intrigue researchers around the world. Edward Sapir and Benjamin Lee Whorf brought attention to the relationship between language, thought, and culture. Neither of them formally wrote the hypothesis nor supported it with empirical evidence, but through a thorough study of their writings about linguistics, researchers have found two main ideas. First, a theory of linguistic determinism that states that the language you speak determines the way that you will interpret the world around you. Second, a weaker theory of linguistic relativism that states that language merely influences your thoughts about the real world. Edward Sapir studied the research of Wilhelm von Humboldt. About one hundred years before Sapir published his linguistic theories, Humboldt wrote in

49. Hypothesis hypothesis provides clear insight into a company s most complex issues, and discovers the answers to their toughest questions by way of qualitative and http://www.hypothesisgroup.com/

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50. The Self-Medication Hypothesis A theory of the causation of addictions. This site explores both Khantzian s psychoanalytic model and Duncan s behavioral model of the hypothesis. http://self-med-hypothesis.tripod.com/

Build your own FREE website at Tripod.com Share: Facebook Twitter Digg reddit document.write(lycos_ad['leaderboard']); document.write(lycos_ad['leaderboard2']); The Self-Medication Hypothesis Home Review Khantzian's Model Duncan's Model ... Links Welcome to our web site! The purpose of this web site is to provide basic information about the Self-Medication Hypothesis one of the most influential theories of the causation of drug abuse and addictions. The self-medication hypothesis proposes that addiction to alcohol and other drugs results from their use for relief from dysphoria resulting from an underlying disorder or condition such as stress. It was proposed in 1974 in separate publications by Edward J. Khantzian and David F. Duncan. This site is a member of WebRing. To browse visit here The Drug Abuse And Legalization SiteRing This ring owned by TinMan SiteRing by Bravenet.com

51. HYPOTHESIS File Format PDF/Adobe Acrobat Quick View http://research.mlanet.org/hypothesis/hypothesis_20_2.pdf

52. Hypothesis - Definition And More From The Free Merriam-Webster Dictionary Definition of hypothesis from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.merriam-webster.com/netdict/hypothesis

53. The Sapir-Whorf Hypothesis Assembled posts concerned with this issue. http://www.linguistlist.org/topics/sapir-whorf/

Read LINGUIST Submit Site Map Advanced Search ... DONATE Publishing Partner: Publisher Login The Sapir-Whorf Hypothesis Item Date Whorf and Warning Responses: Whorf, Einstein, Change Queries: Punjabi, Whorf, Text Analysis Whorf and Plurals ... Qs: Phonetics/Ejectives, Sapir-Whorf Hypothesis Page Updated: 31-Oct-2010 About LINGUIST Contact Us While the LINGUIST List makes every effort to ensure the linguistic relevance of sites listed on its pages, it cannot vouch for their contents.

54. The Happiness Hypothesis - Jonathan Haidt Oct 1, 2005 The Happiness hypothesis Finding Modern Truth in Ancient Wisdom Using the Happiness hypothesis to increase your happiness. http://www.happinesshypothesis.com/

55. The Music Of The Primes A popular article by Marcus du Sautoy on the Riemann hypothesis; Science Spectra, Issue 11. http://www.dpmms.cam.ac.uk/~dusautoy/2soft/music.htm

1.-When the British mathematician Andrew Wiles told the world about his proof of the Last Theorem of the seventeenth century French lawyer, Pierre de Fermat, it looked as if the Holy Grail had been grasped. Fermat's Last Theorem has often been called the greatest unsolved riddle of mathematics. But many mathematicians would argue that this name belongs rather to an idea first put forward in the middle of the nineteenth century by the German mathematician Bernhard Riemann: The Riemann Hypothesis. 2.-PRIME NUMBERS It remains unresolved but, if true, the Riemann Hypothesis will go to the heart of what makes so much of mathematics tick: the prime numbers. These indivisible numbers are the atoms of arithmetic. Every number can be built by multiplying prime numbers together. The primes have fascinated generations of mathematicians and non-mathematicians alike, yet their properties remain deeply mysterious. Whoever proves or disproves the Riemann Hypothesis will discover the key to many of their secrets and this is why it ranks above Fermat as the theorem for whose proof mathematicians would trade their soul with Mephistopheles. 3.-Although the Riemann Hypothesis has never quite caught on in the public imagination as Mathematics' Holy Grail, prime numbers themselves do periodically make headline news. The media love to report on the latest record for the biggest prime number so far discovered. In November 1996 the Great Internet Prime Search announced their discovery of the current record, a prime number with 378,632 digits. But for mathematicians, such news is of only passing interest. Over two thousand years ago Euclid proved that there will be infinitely many such news stories, for the primes never run dry.

56. Hypothesis Definition Of Hypothesis In The Free Online Encyclopedia. One single hypothesis of the observers of Long's Peak could ever be realized, that which foresaw the case of the travelers (if still alive) uniting their efforts with the lunar http://encyclopedia2.thefreedictionary.com/hypothesis

57. Http://web.online.co.uk/grew/index.htm Offers a hypothesis that light is a wave that must travel though a medium. http://web.ukonline.co.uk/grew/

LIGHT An Explanation Of The Nature Of Light Page 2 Page 3

58. Efficient Market Hypothesis (EMH) Definition Efficient Market hypothesis (EMH) Definition of Efficient Market hypothesis ( EMH) on Investopedia - An investment theory that states it is impossible to http://www.investopedia.com/terms/e/efficientmarkethypothesis.asp

59. Hypothesis - Uncyclopedia, The Content-free Encyclopedia A hypothesis is much like a guess, but it does not also manufacture jeans. Instead, it is a guess made by scientists or scienticians who wish to look smart after their http://uncyclopedia.wikia.com/wiki/Hypothesis

60. Hypothesis On Time Theory that suggests a new concept on the appreciation and measurement of time. http://andrepierrejocelyn.ifrance.com/trad/

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