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{{Short description|Mathematical formula}} ...function]]s. There is also the '''dual''' [[Schur polynomial#Jacobi−Trudi identities |second Jacobi-Trudi identity]] which expresses [[Schur polynomial|Schur fu ...

In [[mathematical physics]], the '''ternary commutator''' is an additional [[ternary operatio *{{Citation |last=Bremner |first=Murray R. |date=15 August 1998 |title=Identities for the Ternary Commutator |journal=Journal of Algebra |volume=206 |issue=2 ...

...s3-1.1.217 | mr=0043839 | year=1951 | journal=[[Proceedings of the London Mathematical Society]] |series=Third Series | issn=0024-6115 | volume=1 | pages=217–221} ...r=2038301 | mr=0289316 | year=1972 | journal=[[Proceedings of the American Mathematical Society]] | issn=0002-9939 | volume=32 | issue=1 | pages=42–44 | doi=10.230 ...

...semigroups is the class of finite semigroups satisfying a set of profinite identities ''P''. ...entities whose two words are finite words. The next example uses profinite identities. The last one is an example of a class that is not a variety. ...

...48}} while studying the second proof Rogers 1917 of the [[Rogers–Ramanujan identities]], and Bailey chains were introduced by {{harvtxt|Andrews|1984}}. ...1=Andrews | first1=George E. | title=Multiple series Rogers-Ramanujan type identities | url=http://projecteuclid.org/euclid.pjm/1102708707 | mr=757501 | year=198 ...

The identities are used in translating Diophantine problems connected with integral points ...t Wüstholz | title=Logarithmic Forms and Diophantine Geometry | series=New Mathematical Monographs | volume=9 | publisher=[[Cambridge University Press]] | year=200 ...

| known_for = Osborn’s rule that deals with Hyperbolic Trigonometric identities ...n’s rule that deals with [[Hyperbolic functions|hyperbolic trigonometric]] identities. ...

{{Short description|Mathematical problem}} ...ion was solved in 1980 by [[Alex Wilkie]], who showed that such unprovable identities do exist. ...

{{Short description|Mathematical formula}} ...f>Warren P. Johnson, "Trigonometric Identities à la Hermite", ''[[American Mathematical Monthly]]'', volume 117, number 4, April 2010, pages 311&ndash;327</ref> S ...

...n Mathematics | volume=78 | location=Providence, RI | publisher=[[American Mathematical Society]] | year=1991 | isbn=0-8218-0730-7 | url=https://books.google.com/b ...

...nt: Euler's work and modern developments |journal=Bulletin of the American Mathematical Society |volume=50 |issue=4 |pages=527–628 |arxiv=1303.1856 |doi=10.1090/S0 ...ant |url=https://projecteuclid.org/euclid.mmj/1339011525 |journal=Michigan Mathematical Journal |language=EN |volume=61 |issue=2 |pages=239–254 |doi=10.1307/mmj/13 ...

...scussions |title=Geometric Proofs of the Law of Tangents |journal=American Mathematical Monthly |volume=28 |number=11–12 |pages=440–443|doi= 10.1080/00029890.1921. == Relation to other trigonometric identities == ...

...omial coefficient]]s, and some evaluating a [[hypergeometric sum]]. These identities famously follow from the [[MacMahon Master theorem]], and can now be routin ...Dixon's identity | mr=1185413 | zbl=0795.01009 | year=1991 | journal=Irish Mathematical Society Bulletin | volume=0027 | issn=0791-5578 | issue=27 | pages=46–54| d ...

==The set of identities a PI-ring satisfies== ...s monic polynomials when PI-rings are required to satisfy monic polynomial identities. ...

...s a certain identity of [[degree of a polynomial|degree]] 2''n''. It was [[mathematical proof|proved]] by {{harvs|txt|last=Amitsur|author1-link=Shimshon Amitsur|la ...r=2032312 | mr=0036751 | year=1950 | journal=[[Proceedings of the American Mathematical Society]] | issn=0002-9939 | volume=1 |issue=4 | pages=449–463 | url=https: ...

...thematical Expositions series. It won the [[Beckenbach Book Prize]] of the Mathematical Association of America. ...ties (collated in an appendix).{{r|roberts}} Several additional "uncounted identities" are also included.{{r|beezer}} Many proofs are based on a visual-reasoning ...

The purpose of this page is to catalog new, interesting, and useful identities related to [[number theory|number-theoretic]] divisor sums, i.e., sums of a These identities include applications to sums of an arithmetic function over just the proper ...

{{Short description|A mathematical statement which always holds true}} .../i/identity.htm |access-date=2019-12-01 |website=www.mathwords.com}}</ref> Mathematical laws are distinguished from [[scientific law]]s which are based on [[observ ...

...encyclopedia=American Mathematical Society Translations|publisher=American Mathematical Soc.|date=1962|pages=412–416}}</ref><ref>{{cite journal|first1=Alexander Da ...blem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities|volume=69|journal=Indiana University Mathematics Journal|doi=10.1512/iumj.2 ...

...form]], and the [[Laplacian|Laplacians]] of the Kähler metric. The Kähler identities combine with results of [[Hodge theory]] to produce a number of relations o The Kähler identities were first proven by [[W. V. D. Hodge]], appearing in his book on harmonic ...