ALLTYPES PPA98,M1 online Struck regards the magico religious performative power of the Pythagorean symbol as exceeding the methodology methodological confines of conventional semiotics . ref The Pythagorean symbols Walter Burkert featured Androcydes in his Textual criticism Stemmatics stemma of Pythagorean ... Abstain from beans see Kenneth Sylvan Guthrie, The Pythagorean Sourcebook and Library Red Wheel Weiser ... &num 100&as brr 3&as pt ALLTYPES online. ref or the quasi monasticism monastic rule governing the Pythagorean ... Pythagorean dietary practice . ref Robert McQueen Grant, Early Christians and Animals Routledge ... and philosophical modes of discourse, in that he cited passages from Hesiod in interpreting the Pythagorean ... Androcydes who was physician to Alexander the Great . ref Gillian Clark, Iamblichus On the Pythagorean ...&pg PA64&dq ANdrokydes&lr &num 100&as brr 3&as pt ALLTYPES PPA64,M1 online. ref Pythagorean dietary ... Androcydes Category Pythagoreans Category Pythagorean philosophy Category Ancient philosophers ... more details
the toilet. Common occurrences File Jewishmug1.jpg thumb upright A Pythagorean cup sold in Crete File Pythagoras cup 2.jpg thumb upright A Pythagorean cup sold in Samos The Pythagorean cup is credited ... rock to serve as an aqueduct bringing water to the city. Hero of Alexandria c. 10 70 AD used Pythagorean ... more details
Image D comma.svg thumb right 200px D with comma below. unicode D unicode d D comma is a letter which was part of the Romanian alphabet , and used to represent the sound IPA z or IPA dz where it was derived from a Latin language Latin d e.g. unicode d i , pronounced IPA zi came from Latin die , day ref Negruzzi, p. 234. ref . It was the equivalent of the Cyrillic script Cyrillic letters Ze Cyrillic and Dze . This letter was first introduced by Petru Maior in his 1819 book Ortographia romana sive Latino Valachica, una cum clavis, qua penetralia originationis vocum reserantur... unicode d sicut Latinorum z ac cyrillicum ref V rtosu, p. 208 ref . In 1844 Ioan Eliade introduced unicode d again in his magazine Curierul de ambe sexe as a substitute for ref V rtosu, p. 223. ref . On 23 October 1858 the Eforia Instruc iunii Publice of Wallachia issued a decree in which, among other rules, unicode d was for the third time adopted instead of Cyrillic . However, this rule will not be fully adopted until later ref V rtosu, p. 234 235. ref . Taking the matter in his hands, internal affairs minister Ion Ghica stated on 8 February 1860 that whoever in his order ignored the new transitional alphabet rules, was going to be fired ref V rtosu, p. 236. ref . In Moldavia , the transitional alphabet and the letter unicode d was adopted much later. In his grammar published in Paris in 1865, Vasile Alecsandri adopted this sign instead of , viewing the comma below d as a small s unicode d was often pronounced IPA dz , IPA ds . This was also the case with S comma unicode ss and T comma ... the typographic point of view of D cedilla is very similar that has a comma. See also S comma T comma Notes references References Negruzzi, Constantin, Studii asupra limbei rom ne , in vol. Alexandru ... , Ed. tiin ific , Bucharest, 1968. Latin alphabet D comma Category Specific letter diacritic combinations D comma Category Romanian language D comma fr D ... more details
Fat comma refers to the code code operator programming operator present in some programming language s. It is primarily associated with PHP , Perl and Ruby programming language Ruby , which use it to declare hash table hashes . Using a fat comma to bind key value pairs in a hash, instead of using a comma, is considered an example of good idiomatic Computer science idiomatic Perl. ref name hashbind Cite book last Conway first Damian authorlink Damian Conway editor Allison Randal and Tatiana Appandi title Perl Best Practices origyear 2005 publisher O Reilly Media, Inc. isbn 0 596 00173 8 chapter 4 Values and Expressions pages 66 quote Whenever you are creating a list of key value or name value pairs, use the fat comma to connect the keys to their corresponding values. ref In CoffeeScript , the fat comma is used to declare a function that is bound to code this code . ref name coffeescript grammar cite web last Ashkenas first Jeremy title Coffeescript Documentation grammar.coffee url http coffeescript.org documentation docs grammar.html ref source lang perl a typical, idiomatic use of the fat comma in Perl my newHash first name Tom , last name Auger source Subtleties Perl When working under strict mode in Perl a programming practice that forces the developer to adhere to the highest standards of consistency, typing and declaration available to the language s compiler , the fat comma has one advantage over its comma code , code analogue it forces the word to its left to be interpreted as a string. ref http perldoc.perl.org perlop.html Comma Operator perldoc.perl.org perlop Comma Operator ref Thus, where this would produce a run time error barewords are not allowed under strict ... comma would be legal and idiomatic source lang perl use strict my goodHash converted to string very ... pairing of associative array s. Ruby In Ruby programming language Ruby , the fat comma is the token ... In Ruby programming language Ruby , the fat comma is occasionally called a hash rocket . ref ... more details
A comma splice is the use of a comma to join two independent clause s. For example Quote It is nearly ... in others, comma splices are usually considered style errors in English. Prescriptive view Comma splices ... edition 1st accessdate 2007 09 04 chapter Do not join independent clauses by a comma chapterurl ..., Joanne. Checkmate A Writing Reference for Canadians. Scarborough, Ontario Nelson. 2003. ref comma ... , however , or moreover . A conjunctive adverb and a comma or a conjunctive adverb between two commas is not strong enough to separate two independent clauses and creates a comma splice. For example ... a comma splice with a conjunctive adverb. Only semicolons and periods are strong enough to separate two independent clauses without a conjunction. Grammarians disagree as to whether a comma splice also constitutes a run on sentence . Some run on sentence definitions include comma splices, ref cite web title Run on Sentences, Comma Splices url http grammar.ccc.commnet.edu grammar runons.htm accessdate ..., thereby excluding comma splices. ref cite web title Run ons Comma Splices Fused Sentences url http ... that turn up from children or from our less literate friends Curiously, this habit of writing comma ... Iris Murdoch I. Murdoch . The comma splice is often considered acceptable in poetic writing ... accessdate 2007 11 23 chapter That ll do, comma author Lynne Truss. publisher Profile Books location London ref observes so many highly respected writers observe the splice comma that a rather unfair ... Maugham . Done knowingly by an established writer, the comma splice is effective, poetic .... Done ignorantly by ignorant people, it is awful. Comma splices are also acceptable in passages ... closely. Correction Simply removing the comma does not correct the error, but results in a run on sentence . There are several ways to correct a comma splice Change the comma to a semicolon, Colon ... past five. We cannot reach town before dark. Insert a coordinating conjunction following the comma ... more details
Taxobox name Hoary Comma image Polygonia gracilis 3396.JPG status NE status system IUCN3.1 regnum Animal ia phylum Arthropoda classis Insecta ordo Lepidoptera familia Nymphalidae tribus Nymphalini genus Polygonia species P. gracilis binomial Polygonia gracilis binomial authority Augustus Radcliffe Grote Grote & Robinson, 1867 synonyms Nymphalis gracilis The Hoary Comma Polygonia gracilis is a species of butterfly , common in boreal ecosystem boreal North America from Alaska, across southern Canada to New England and the Maritime Provinces and south to New Mexico from the Rocky Mountains to the Pacific Ocean. The wings have a distinctive ragged edge. ref name Sommer cite web last Sommer first Stefan authorlink coauthors Denise Knight, Stephanie McDowell, Stephen Burton, Ean Harker title Polygonia gracilis work Digital Atlas of Idaho publisher date url http imnh.isu.edu digitalatlas bio insects butrfly famnymph pogrf.htm doi accessdate 2008 06 22 ref ref name Opler cite web last Opler first Paul A. authorlink coauthors Harry Pavulaan, Ray E. Stanford, Michael Pogue, coordinators title Hoary Comma work Butterflies and Moths of North America publisher Bozeman, MT NBII Mountain Prairie Information Node year 2006 url http www.butterfliesandmoths.org format doi accessdate 2008 06 22 ref Adult butterflies feed on tree sap and nectar from flowers. Caterpillars feed on shrub leaves including currant, western azalea and mock azalea. The species survives the winter in the adult stage in diapause and mate and lay eggs in the spring. Butterflies emerge from their Pupa Chrysalis chrysalids in midsummer. References references External links Commons Polygonia gracilis Hoary Comma wikispecies Polygonia gracilis Hoary Comma http www.cbif.gc.ca spp pages butterflies species HoaryComma e.php Hoary Comma , Butterflies of Canada Category Nymphalini Category Butterflies and moths of North America Category Butterflies of Canada Nymphalinae stub fr Polygone gracile nl Polygonia gracilis ... more details
pp move small yes See also Pythagorean trigonometric identity File Pythagorean.svg thumb The Pythagorean ... on the hypotenuse c . Trigonometry In mathematics , the Pythagorean theorem or Pythagoras theorem ... as an equation relating the lengths of the sides a , b and c , often called the Pythagorean ... author Judith D. Sally, Paul Sally page 63 chapter Chapter 3 Pythagorean triples url http books.google.com ... represent the lengths of the other two sides. The Pythagorean theorem is named after the Greeks ... Method of Generating Pythagorean Triples author Abdulrahman A. Abdulaziz year 2010 eprint ... at all, but n dimensional solids. The Pythagorean theorem has attracted interest outside ... two sides, the Pythagorean theorem can be expressed as the Pythagorean equation math a 2 b 2 ... c 2 a 2 . , math The Pythagorean equation relates the sides of a right triangle in a simple way, so ... of cosines reduces to the Pythagorean equation. Proofs This theorem may have more known proofs than any other the law of quadratic reciprocity being another contender for that distinction the book The Pythagorean ... times e c times d c times d e c 2 , , math which, tidying up, is the Pythagorean theorem math a 2 b ... Illustration to Euclid s proof of the Pythagorean theorem.svg thumb Proof in Euclid s Elements In outline ... See for example Mike May S.J., http www.slu.edu classes maymk GeoGebra Pythagoras.html Pythagorean ... s proof of the Pythagorean theorem2.svg thumb Illustration including the new lines File Illustration to Euclid s proof of the Pythagorean theorem3.PNG thumb Showing the two congruent triangles of half ... the knot.org pythagoras index.shtml 10 title Pythagorean Theorem, proof number 10 author Alexander ... File Pythagorean theorem rearrangement.svg thumb Proof using an elaborate rearrangement Algebraic ... www.cut the knot.org pythagoras index.shtml 3 title Cut the knot.org Pythagorean theorem and its many ... pythagoras index.shtml 4 title Cut the knot.org Pythagorean theorem and its many proofs, Proof ... more details
unreferenced date October 2011 In the C programming language C and C programming languages, the comma operator represented by the token parser token code , code is a binary operator that evaluates its first operand and discards the result, and then evaluates the second operand and returns this value and type . The comma operator has the lowest Order of operations precedence of any C operator, and acts as a sequence point . The use of the comma token as an operator is distinct from its use in function call s and definitions, variable declarations, enum declarations, and similar constructs, where it acts as a separator . In this example, the differing behavior between the second and third lines is due to the comma operator having lower precedence than assignment. source lang C int a 1, b 2, c 3, i,j comma acts as separator in this line, not as an operator i a, b stores b into i ... a 1, b 2, c 3, i 2 i a, b stores a into i. Equivalent to i a , b ... a 1, b 2, c 3, i 1 i a 2, a b increases a by 2, then stores a b 3 2 into i ... a 3, b 2, c 3, i 5 i a 2, a b increases a by 2, then stores a 5 into i ... a 5, b 2, c 3, i 5 i a, b, c stores a into i ... a 5, b 2, c 3, i 5 i a, b, c stores c into i ... a 5, b 2, c 3, i 3 source Because the comma operator discards its first operand, it is generally only useful where the first operand has desirable Side effect computer science side effects , such as in the initialiser or the counting expression of a for loop . For example, the following terse linked list cycle detection algorithm a version of Robert W. Floyd Floyd s Cycle detection Tortoise and hare tortoise and hare algorithm source lang C bool loops List list List tortoise, hare advance ... pointers one step of hare tortoise tortoise next, hare hare next comma separates hare and tortoise ... language Ruby programming languages, the semicolon is used for this purpose. JavaScript utilizes the comma ... library which makes it easy to fill containers using comma operator Category C programming language ... more details
italic title Taxobox name Asylemissa comma image image width 240px regnum Animal ia phylum Arthropod a classis Insect a ordo Lepidoptera familia Micronoctuidae genus Asylemissa species A. comma binomial Asylemissa comma binomial authority Fibiger, 2010 synonyms Asylemissa comma is a moth of the Micronoctuidae family. It is known from north eastern Thailand . The wingspan is about 8 mm. The head, patagia, anterior part of the tegulae, prothorax, basal part of the costa, costal part of the medial area and fringes are blackish brown. The costal medial area is quadrangular. The forewing is short, narrow and pointed at the apex. The ground colour is yellow suffused with brown scales and with a black tornal patch. The crosslines are partly indistinct and light brown. The terminal line is also indistinct and indicated by a few black, interneural dots. The hindwing is grey, without a discal spot. The underside of the forewing is light brown, while the underside of the hindwing is light grey. References aut Fibiger, M. 2010 Revision of the Micronoctuidae Lepidoptera Noctuoidea Part 3, Taxonomy of the Tactusinae. http www.mapress.com zootaxa index.html Zootaxa , 2583 1 119. http www.mapress.com zootaxa 2010 f z02583p119f.pdf Preview Category Micronoctuidae Micronoctuidae stub ... more details
italic title Taxobox name Nephele comma image Nephele comma.JPG image width image caption regnum Animal ia phylum Arthropod a classis Insect a ordo Lepidoptera familia Sphingidae genus Nephele genus Nephele species N. comma binomial Nephele comma binomial authority Hopffer, 1857 ref cite web url http www.cate sphingidae.org taxonomy Nephele leighi.html title CATE Creating a Taxonomic eScience Sphingidae publisher Cate sphingidae.org date accessdate 2011 10 25 ref synonyms Nephele triangulifera small Closs, 1914 small Nephele charoba small Kirby, 1877 small Nephele charoba microstigma small Clark, 1927 small Nephele comma derasa small Rothschild & Jordan, 1903 small Nephele comma is a moth of the Sphingidae family. It is very common throughout the Ethiopian Region , including Madagascar . ref cite web url http www.biodiversitylibrary.org jeanhs XXVI 20No.3 20 115 1 1967 Carcasson.pdf title Revised Catalogue of the African Sphingidae Lepidoptera with Descriptions of the East African species publisher Biodiversitylibrary.org date accessdate 2011 10 25 ref The length of the forewings is 32 39 mm and the wingspan is 76 86 mm. It is a very variable species. The body and forewings are dark olive green to reddish brown and to light ochreous brown. The dorsum of the abdomen is broadly of the same colour as the thorax. There are three large quadrate blackish lateral spots. The forewings have irregular dark transverse bands which are usually much better developed in the olive or ochreous specimens than in the reddish ones. The terminal area has a greyish tinge, usually in distinct contrast with the remainder of the wing and clearly defined proximally by a regular blackish submarginal line running from the apex to the tornus. In the typical form, the stigma is a prominent silvery white reversed comma with its curve towards the base of the wing and its extremities towards the termen ... moth Macroglossini stub de Nephele comma nl Nephele comma vi Nephele comma ... more details
In mathematics , Pythagorean addition is the following binary operation on the real number s math a oplus b sqrt a 2 b 2 . math The name recalls the Pythagorean theorem , which states that the length of the hypotenuse of a right triangle is nowrap a b , where a and b are the lengths of the other sides. This operation provides a simple notation and terminology when the summands are complicated for example, the energy momentum relation in physics becomes math E mc 2 oplus pc. math Properties The operation is associative and commutative, and math sqrt x 1 2 x 2 2 cdots x n 2 x 1 oplus x 2 oplus cdots oplus x n math . This is enough to form the real numbers into a commutative semigroup . However, is not a Group mathematics group operation for the following reasons. The only element which could potentially act as an identity element is 0, since an identity e must satisfy e e e . This yields the equation math sqrt 2 e e math , but if e is nonzero then math sqrt 2 1 math is a contradiction, so e could only be zero. Unfortunately 0 does not work as an identity element after all, since 0 1 1. This does indicate, however, that if the operation is restricted to nonnegative real numbers, then 0 does act as an identity. Consequently the operation acting on the nonnegative real numbers forms a commutative monoid . See also Euclidean distance Hypot function Further reading expand further date February 2012 cite journal author Moler, Cleve and Donald Morrison title Replacing Square Roots by Pythagorean Sums journal IBM Journal of Research and Development volume 27 issue 6 pages 577 581 year 1983 url http www.research.ibm.com journal rd 276 ibmrd2706P.pdf doi 10.1147 rd.276.0577 Try also http citeseerx.ist.psu.edu viewdoc download?doi 10.1.1.90.5651&rep rep1&type pdf here . cite journal first Augustin A. last Dubrulle title A Class of Numerical Methods for the Computation of Pythagorean Sums journal IBM Journal of Research and Development volume 27 issue 6 pages ... more details
fact. As such, it is symbolic of, and perhaps leads to, the Pythagorean conception of mathematics ... books.google.co.uk books?id 8vw9z mnzH8C&pg PA517&lpg PA517&dq pythagorean hammers chisels&source ... v onepage&q pythagorean 20hammers 20chisels&f false ref As Aristotle was later to write, the Pythagoreans ... reflist DEFAULTSORT Pythagorean Hammers Category Acoustics Category Music theory Category Ancient Greek science Category Pythagorean philosophy Category Mathematics of music Link GA de de Pythagoras ... more details
Image MathematicalMeans.svg thumb right A geometric construction of the Quadratic mean and the Pythagorean means of two numbers a and b . Harmonic mean denoted by H , Geometric by G , Arithmetic by A and Quadratic mean also known as Root mean square denoted by Q . In mathematics, the three classical Pythagorean means are the arithmetic mean A , the geometric mean G , and the harmonic mean H . They are defined by math A x 1, ldots, x n frac 1 n x 1 cdots x n math math G x 1, ldots, x n sqrt n x 1 cdots x n math math H x 1, ldots, x n frac n frac 1 x 1 cdots frac 1 x n math Each mean has the following properties Value preservation math M x,x, ldots,x x math First order homogeneous function homogeneity math M bx 1, ldots, bx n b M x 1, ldots, x n math Invariance under exchange math M ldots, x i, ldots, x j, ldots M ldots, x j, ldots, x i, ldots math for any math i math and math j math . Averaging math min x 1, ldots,x n leq M x 1, ldots,x n leq max x 1, ldots,x n math These means were studied with proportions by Pythagoreans and later generations of Greek mathematicians Thomas Heath, History of Ancient Greek Mathematics because of their importance in geometry and music. There is an ordering to these means if all of the math x i math are positive , along with the quadratic mean math Q sqrt frac x 1 2 x 2 2 cdots x n 2 n math math min leq H leq G leq A leq Q leq max math with equality holding if and only if the math x i math are all equal. This is a generalization of the inequality of arithmetic and geometric means and a special case of an inequality for generalized mean s. This inequality sequence can be proved for the math n 2 math case for the numbers a and b using a sequence of right triangle s x , y , z with hypotenuse z and the Pythagorean theorem , which states that math x 2 y 2 z 2 math and implies that math z x math and math z y math . The right triangles are ref Kung ... links http mathworld.wolfram.com PythagoreanMeans.html Pythagorean means on MathWorld Category Means ... more details
In mathematics, a comma category a special case being a slice category is a construction in category ... several important mathematical concepts can be treated as comma categories. There are also certain ... of comma categories. The name comes from the notation originally used by Lawvere, which involved the comma punctuation mark. Although standard notation has changed since the use of a comma as an operator is potentially confusing, and even Lawvere dislikes the uninformative term comma category , the name persists. Definition The most general comma category construction involves two functor s with the same ... accounts of category theory consider these special cases only, but the term comma category is actually ... S mathcal C xleftarrow T mathcal B math We can form the comma category math S downarrow T math ... math A math in math mathcal C math . In this case, the comma category is written math mathcal C downarrow .... Here, math S math has domain 1 and math T math is an identity functor. In this case, the comma ... functor s on math mathcal C math so math mathcal A mathcal B mathcal C math . In this case, the comma ... as a functor from 1 , then the comma category math s downarrow T math has objects that are maps ... S A math and math T B math , then the comma category math S downarrow T math , written math A downarrow ... . Properties For each comma category there are forgetful functors from it. Domain functor, math ... in terms of comma categories. The category of pointed set s is a comma category, math bull downarrow ... augmentation or labelling operations can be expressed in terms of comma categories. Let math S math ... by elements of math A math . This form of comma category is often called objects math S math over ... Limit category theory Colimits in comma categories may be inherited . If math mathcal A math and math ... , then the comma category math S downarrow T math produced will also be cocomplete Cn date February ... Algebra 1 , Cambridge University Press. ISBN 0 521 44178 1. ref then the comma category math ... more details
The Comma Johanneum is a Comma rhetoric comma a short clause in the First Epistle of John bibleverse ... on Vetus Latina minorty readings. The earliest extant Latin manuscripts m q l supporting the Comma are dated from the 5th to 7th century. One theory of current scholarship is that the Comma was Interpolation ... Receptus TR as the principal source language text for Bible editions, the comma is also contained ... century. ref group n Two earlier English versions that omitted the Comma were the editions ... Erasmus included the Comma in the 3rd edition of his Greek New Testament of 1522 the Comma was included ... John 5 7 8 reads as follows with the Comma in bold print 5 7 For there are three that bear record in heaven ... the Authorized King James Version KJV , contain the Comma, modern Bible translations from the Critical ... Standard Version ESV , the New Revised Standard Version NRSV and others tend to either omit the Comma ... approved for liturgical use by the Catholic Church , also excludes the Comma. ref http www.vatican.va ... Antoniades have the Comma in the main text in a smaller font. ref Maurice Robinson, posting to the http ... Trinity of the Church Fathers File CODEX SINAITICUS 1 John 5 7 8 Comma Johanneum.JPG thumb 250px left Excerpt from Codex Sinaiticus including 1 John 5 7 9. It lacks the Comma Johanneum. The purple ... origins Those who believe the Johannine Comma is authentic attribute it to the apostle John, who ... as to why the Comma dropped out of the Greek manuscript line and why most of the evidence is in Latin ... the Johannine Comma is inauthentic view the text as either an accidental intrusion, which could ... Priscillian Priscillian of vila died 385 was the author of the Comma. This idea of a Priscillian origin for the Comma had a brief scholarship flourish but quickly lost support in textual circles ... http books.google.com books?id rYQrAAAAYAAJ Das Comma Ioanneum auf seine herkunft untersucht a paper that proposed that the insertion of the comma into the text of the Epistle is due to Priscillian himself ... more details
Eurytus lang el , an eminent Pythagoreanism Pythagorean philosopher, lived c. 400 BC, who Iamblichus in one passage ref Iamblichus, de Vit. Pyth. 28 ref describes as a native of Croton , while in another, ref Iamblichus, de Vit. Pyth. 36 ref he enumerates him among the Taranto Tarentine Pythagoreans. He was a disciple of Philolaus , and Diogenes La rtius ref Diogenes La rtius iii. 6, viii. 46 ref mentions him among the teachers of Plato , though this statement is very doubtful. It is uncertain whether Eurytus was the author of any work, unless we suppose that the fragment in Stobaeus , ref Stobaeus, Phys. Ecl. i. ref which is there ascribed to one Eurytus, belongs to this Eurytus. Aristotle , Metaphysics Aristotle Metaphysics 1092b mentions Eurytus, speaking about points as limits of spatial magnitude It was in this sense that Eurytus determined the number of anything for he computed the number of a man or that of a horse or of any living thing by outlining its shape with pebbles, as one would number the sides of a triangle or a square, ref Aristotle, Metaphysics , 1092b. translated by Richard Hope, p. 314, Columbia University Press, 2008. ref Notes reflist SmithDGRBM Persondata Metadata see Wikipedia Persondata . NAME Eurytus ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Eurytus Category Ancient Greek philosophers Category Pythagoreans of Magna Graecia Category Ancient Crotonians Category 4th century BC philosophers Category 4th century BC deaths ca Eurit de Eurytos Philosoph it Eurito pitagorico fi Eurytos filosofi roa tara Eurito, pitagoriche uk ... more details
Unreferenced date April 2008 Image Non Pythagorean Scale Comparison.jpg 300px right thumb Comparison of Non Pythagorean pitches red audio Non Pythagorean scale on C.mid Play to equal temperament 12 tone equal tempered pitches blue audio ChromaticScaleUpDown.ogg Play . Note that, while the equal tempered pitches increase exponentially, the pitches found lower on the Non Pythagorean scale have frequencies that are farther apart while pitches found higher on the scale are closer together. The Non Pythagorean scale is a musical scale first conceived and developed by Robert Schneider of The Apples in Stereo . It is based on natural logarithms . The term Non Pythagorean is a reference to Ancient Greeks Greek philosopher Pythagoras in respect to his work with the chromatic scale . The scale was introduced in 2007 with the release of New Magnetic Wonder , the sixth studio album by The Apples in Stereo. The album featured two brief compositions using the scale. Enhanced CD versions of the album included a third composition as well as a variety of information from Schneider concerning the scale. Audio files and instructions are also on the disc, enabling the listener to prepare a MIDI keyboard to play in the Non Pythagorean scale. Though use of the scale is still sparse, Schneider encourages those interested to experiment with it and continue development of a possible musical theory. External links http www.applesinstereo.com pythagorean.php The Non Pythagorean scale at the official Apples in Stereo website http popculturewilleatitself.com music 2007 02 11 brief explanation of differences between pythagorean and non pythagorean scales A brief explanation of the differences between Pythagorean and Non Pythagorean scales at Pop Culture Will Eat Itself The Apples in Stereo Category Musical scales music stub ... more details
is a variant of Pythagorean tuning . The difference is that in this system the perfect fifth is flattened by one quarter of a syntonic comma , with respect to its just intonation used in Pythagorean ... that, in quarter comma meantone, the seventeenth is 81 80 times narrower than in Pythagorean tuning. This difference in size, equal to about 21.506 cents, is called the syntonic comma . This implies that the fifth is a quarter of a syntonic comma narrower than the justly tuned Pythagorean fifth ... . This is achieved by tuning the seventeenth a syntonic comma flatter than the Pythagorean seventeenth, which implies tuning the fifth a quarter of a syntonic comma flatter than the just intonation ... comma 21.5 cents , which this system is designed to tune out from the Pythagorean major third ...Refimprove date June 2008 Quarter comma meantone , or 1 4 comma meantone , was the most common meantone ... semitone s, with the diatonic semitone larger. In Pythagorean tuning, these correspond to the Pythagorean limma and the Pythagorean apotome , only now the apotome is larger. In any meantone or Pythagorean tuning, a whole tone is composed of two semitones of each kind, a major third is two ..., it follows that Five fifths down and three octaves up make up a diatonic semitone, so that the Pythagorean ... whole tones. Thus, in Pythagorean tuning, where sequences of just intonation just fifths interval ... staff position s . In Pythagorean tuning, the size of a seventeenth is defined using a stack of four ... over 80 5 cdot 81 over 80 . math In quarter comma meantone temperament, where a just intonation just ... size 5 1 must be obtained, even in quarter comma meantone, by stacking four fifths. Since justly tuned fifths, such as those used in Pythagorean tuning, produce a slightly wider seventeenth, in quarter comma meantone the fifths must be slightly flattened to meet this requirement. Letting x be the frequency ... between these two sizes is a quarter of a syntonic comma math approx 701.955 696.578 approx 5.377 ... more details
file Pythagorean.tree.svg 500px thumb The tree of primitive Pythagorean triples. In mathematics , a Pythagorean ... divisor . The set of all primitive Pythagorean triples has the structure of a rooted Tree structure ... multiplied on the right by a column vector whose components form a Pythagorean triple, then the result is another column vector whose components are a different Pythagorean triple. If the initial triple is primitive, then so is the one that results. Thus each primitive Pythagorean triple has three children . All primitive Pythagorean triples are descended in this way from the triple 3 ... . This tree also appeared in papers of A. Hall in 1970 ref A. Hall, Genealogy of Pythagorean Triads .... Kanga in 1990. ref Kanga, A. R., The family tree of Pythagorean triples, Bulletin of the Institute ... primitive Pythagorean triples It can be shown Induction mathematics inductively that the tree contains primitive Pythagorean triples and nothing else by showing that starting from a primitive Pythagorean ... Pythagorean and primitive. Preservation of the Pythagorean property If any of the above matrices, say A , is applied to a triple a , b , c sup T sup having the Pythagorean property a sup 2 sup b sup ... is also Pythagorean. This can be seen by writing out each of d , e , and f as the sum of three terms ... Pythagorean triple a , b , c sup T sup to obtain another triple d , e , f sup T sup , we have d , e ... of every primitive Pythagorean triple exactly once To show that the tree contains every primitive Pythagorean triple, but no more than once, it suffices to show that for any such triple ... to an arbitrary primitive Pythagorean triple d , e , f , noting that by the above reasoning primitivity and the Pythagorean property are retained, and noting that for any triple larger than 3, 4, 5 ... generation. ref name Price cite arXiv last Price first H. Lee eprint 0809.4324 title The Pythagorean ... 21, 20, 29 respectively. If either of A or C is applied repeatedly from any Pythagorean triple ... more details
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem ... also Trigonometric functions List of trigonometric identities Mathematically, the Pythagorean identity ... sup 2 sup . This relation between sine and cosine is sometimes called the fundamental Pythagorean trigonometric ... identity follows from the Pythagorean theorem . Proofs and their relationships to the Pythagorean ... hypotenuse frac a c . math The Pythagorean identity follows by squaring both definitions above, and adding ... mathrm hypotenuse 2 math which by the Pythagorean theorem is equal to 1. Note, however, that this definition ... math 1 tan 2 theta sec 2 theta , math and math 1 cot 2 theta csc 2 theta , math are also called Pythagorean ... the Pythagorean theorem. The angle opposite the leg of length 1 this angle can be labeled ... from the Pythagorean theorem. Tabulation of derivations Another way of thinking about the other ... by dividing each element of the original Pythagorean Identity by a common divisor. class wikitable sortable ..., from the equation for the unit circle math cos 2 theta sin 2 theta 1 , math the Pythagorean identity ... varies as the angle changes quadrant. Because the x and y axes are perpendicular, this Pythagorean identity is actually equivalent to the Pythagorean theorem for triangles with hypotenuse of length 1 which is in turn equivalent to the full Pythagorean theorem by applying a similar triangles argument ... sin 2 x cos 2 x 1 , math which is the Pythagorean trigonometric identity. The Pythagorean theorem is not closely related to the Pythagorean identity when the trigonometric functions are defined in this way ... is a constant so z 1 for all x , so the Pythagorean identity is established. A similar proof can ... has no direct connection with Euclid s demonstration of the Pythagorean theorem. See also Pythagorean theorem Trigonometric identity Unit circle Power series Differential equation In line notes and references references External links http sympl.org book examples interactive plots pythagorean ... more details
Infobox single Name Oxford Comma Cover Oxford Comma Vampire Weekend single coverart.jpg Artist Vampire ... Last single A Punk br 2008 This single Oxford Comma br 2008 Next single Cape Cod Kwassa Kwassa br ... Roof song Mansard Roof Oxford Comma A Punk Cape Cod Kwassa Kwassa M79 Campus Bryn One Blake s Got a New Face I Stand Corrected Walcott The Kids Don t Stand A Chance Oxford Comma is the third Single ... s meaning. Koenig said he first encountered the serial comma Oxford comma a comma used before the conjunction ... for the Preservation of the Oxford Comma. The idea for the song came several months later while Koenig ... out was Who gives a fuck about an Oxford comma? He stated that the song is more about not giving ... Weekend s Oxford Comma, Explained publisher Vanity Fair magazine Vanity Fair url http www.vanityfair.com ... And More For Oxford Comma Video publisher MTV url http www.mtv.com news articles 1589732 20080620 ... writer Mark Richardson said Oxford Comma was damn catchy, while Andrew Grillo of Click Music described ... title New Music Vampire Weekend Bryn I Stand Corrected M 79 Oxford Comma Daytrotter Session publisher ... bryn i stand corrected m 79 oxford comma daytrotter session mp3s streams accessdate 2008 07 15 date 2007 10 22 ref Robert Forster musician Robert Forster described Oxford Comma as the best song of the last ... Oxford Comma Walcott Insane Mix Chart performance Released in May 2008, Oxford Comma began to climb ... single. ref cite web last first title Oxford Comma UK chart position publisher The Official Charts ... 2008 Peak br position UK Singles Chart align center 38 In other media Oxford Comma was featured in the first ... last Swansburg first John date 2009 09 22 publisher Slate accessdate 2009 09 23 ref Oxford Comma was also featured in the movie I Love You, Man . Oxford Comma was also featured in the first episode of the first season of Suits TV series Suits References Reflist Vampire Weekend DEFAULTSORT Oxford Comma Song Category Vampire Weekend songs Category 2008 singles nl Oxford Comma pt Oxford Comma ... more details
Refimprove date March 2010 Notability music date March 2010 Infobox musical artist name City Comma State image Ccs large.jpg caption Logo for City Comma State. landscape yes background group or band origin Flag icon Los Angeles Los Angeles br Flag icon California California br USA genre Alternative rock br Pop punk years active 2010 2011 label website past members Joanna Pacitti br Justin Siegel br Ryan Frogs McCormack br Jordan McGraw br Drew Langan br Mark Hoppus br Rob Leifer City Comma State were an American rock music rock band from Los Angeles, California . The band consisted of lead vocalist Joanna Pacitti , bassist Justin Siegel, guitarist Ryan Frogs McCormack, drummer Drew Langan, and guitarist Jordan McGraw. Blink 182 frontman Mark Hoppus worked closely with the group on their debut album and overall formation. The band s name comes from the Strong Bad Email independent . Strong Bad chose it as a potential name for an indie film . Beginning On January 4, 2010, Mark Hoppus first initiated talk of the band. He began posting via Twitter about a new musical endeavor, at the time entitled 10HRSattheMACHINE read as 10 hours at the machine . Although he was vague in detail, one of the first ... change to become City Comma State . In a June 28, 2010 interview, Alex Gaskarth from the band All Time ... were to be released by City Comma State. ref http www.absolutepunk.net showthread.php?p 70122572 post70122572 ... and City Comma State was listed as an opening act along with A Rocket To The Moon. City Comma State ... version of All My Lies was their most watched video. On December 5, 2010 City Comma State put ... or Enemies Radio. On May 18 during an interview on The Gunz Show, City comma State officially announced they had broken up. ref http idobi.com media interviews ?city comma state the gunz show interview ... citycommastate City Comma State s official purevolume http www.twitter.com citycommastate City Comma State on Twitter Category American rock music groups Category American pop punk musical ... more details
Besides Euclid s formula, many other formulas for generating Pythagorean triple s have been developed ... triples have been described here main Pythagorean triple The methods below appear in various sources ... yields Pythagorean triples not all of them primitive for any given value, under the conditions given, but it does not yield all valid Pythagorean triples, or even all primitive Pythagorean triples ... of the fractions are the odd numbers, math 3, text 5, text 7, text 9, math etc. To calculate a Pythagorean ... to himself the following method for generating Pythagorean triples. To find integer solutions ... and that s and t are factors of math tfrac r 2 2 math . All Pythagorean triples may be found ... of Pythagorean triples starting from a sub 3 sub , b sub 3 sub , c sub 3 sub 4, 3, 5 via math ... Fibonacci triangles Fibonacci triangles . II. A Pythagorean triple can be generated using any ... is a Pythagorean triple. ref Horadam, A. F., Fibonacci number triples , American Mathematical Monthly ..., Frank R. and Price, H. Lee title Heron s formula, Descartes circles, and Pythagorean triangles ... q , q are not coprime , the same procedure leads to a non primitive triple. Pythagorean triples and Descartes circle equation This method of generating primitive Pythagorean triples also provides ... sub 0 sub 554. A Ternary Tree Generating All Primitive Pythagorean Triples Each primitive Pythagorean ... and primitive Pythagorean triple. In this section we shall use the Fibonacci Box in place of the primitive triple it represents. An infinite ternary tree containing all primitive Pythagorean ... H. Lee last Price title The Pythagorean Tree A New Species year 2008 pages 14 eprint 0809.4324 class ... 129 139 language Swedish postscript . ref See also Tree of primitive Pythagorean triples . Generating ... leg of a Pythagorean triple. ref J. L. Poet and D. L. Vestal, Jr. 2005 . Curious Consequences of a Miscopied ... 4 252 405 477 21 6 Pythagorean triples by use of matrices and linear transformations main Tree of primitive ... more details
Cleanup reorganize date March 2011 Infobox file format name Comma separated values br Comma separated ... lists contained by extended from extended to standard RFC 4180 url A comma separated values ... character or string, most commonly a literal comma or Tab character Tab characters tab . Usually ... field s that are separated by delimiters typically a single reserved character such as comma or tab ... accepted single file solution. Lack of a standard The name CSV indicates the use of the comma ... instead of comma such files can be more precisely referred to as TSV for Tab separated values some ... Arabic numerals with decimal comma some countries , it is very common to write the decimal point as a comma instead of period. For example 3,14159. This makes the comma a poor choice for field separator ... html rfc4180 title Common Format and MIME Type for Comma Separated Values CSV Files accessdate September ..., so care is required when importing . Each record should contain the same number of comma ... full stop and the value separator is a comma Year,Make,Model,Length 1997,Ford,E350,2.34 2000,Mercury ... the decimal separator is a comma and the value separator is a semicolon Year Make Model Length ... could be achieved by the use of a comma instead of a semicolon as a separator and either the decimal ... that uses a Comma punctuation comma to separate values many implementations of CSV import export ... a comma or other special characters such as newline s. More sophisticated CSV implementations ..., a CSV file may be considered a Flat file database flat file . History Comma separated values are old ... under OS 360 supported them in 1967. citation needed date February 2012 Comma separated value lists ... to producing incorrect results if a value was punched one column off from its intended location. The comma separated list CSL is a data File format format originally known as comma separated values ... and easy using comma delimiters. CSL CSVs were also used for simple database s. Comma separated ... more details
File Pythagorean.svg thumb Visual representation of the Pythagorean theorem. Under the proposal the shape seen here would be drawn at vast size on the Siberian tundra using pine trees and fields of wheat Gauss Pythagorean right triangle proposal is a proposal attributed to Carl Friedrich Gauss for a method to signal extraterrestrial beings by constructing an immense right triangle and three squares on the surface of the earth. The shapes would be a symbolical representation of the Pythagorean theorem , large enough to be seen from the Moon or Mars . Although credited in numerous sources as originating with Gauss, with exact details of the proposal set out, the specificity of detail, and even whether Gauss made the proposal, has been called into question. Many of the earliest sources for forms of the proposal do not actually name Gauss as the originator, instead crediting a German Astronomer or using other nonspecific descriptors, and in some cases naming a different author entirely. The details of the proposal also change significantly upon different retellings. Nevertheless, Gauss writings reveal a belief and interest in finding a method to contact extraterrestrial life , and that he did, at the least, propose using amplified light using a Heliotrope instrument Heliotrope , his own 1818 invention, to signal supposed inhabitants of the Moon. The proposal Carl Friedrich Gauss is credited with an 1820 proposal ref cite journal author Glenn Garelik coauthors J. Madeleine Nash and Richard Woodbury title Space Onward to Mars journal Time Magazine url http www.time.com time magazine article 0,9171,967915,00.html date July 18, 1988 page 50 format subscription required volume 132 issue 3 ref for a method to signal extraterrestrial beings in the form of drawing an immense right triangle and three squares on the surface of the earth, intended as a symbolical representation of the Pythagorean ... that this geometric figure, invoking the Pythagorean theorem through the squares on the outside ... more details
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