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{{Short description|Mathematical theorem about polynomials}} | journal=[[Mathematical Proceedings of the Cambridge Philosophical Society]] ...

{{DISPLAYTITLE:Basic theorems in algebraic ''K''-theory}} {{short description|Four mathematical theorems}} ...

...st=Axel Johannes |last=Malmquist|year1=1913|year2=1920|year3=1941}}. These theorems restrict the forms of first order algebraic [[differential equation]]s whic ==Statement of the theorems== ...

...N%20TWISTOR%20SPACES%20(PLMS%201981).pdf|journal=Proceedings of the London Mathematical Society|language=en|volume=s3-43|issue=1|pages=133–150|doi=10.1112/plms/s3- ...first2=Shigeo|date=1954|title=Note on Kodaira-Spencer's proof of Lefschetz theorems|url=https://projecteuclid.org/euclid.pja/1195526105|journal=Proceedings of ...

...he first [[characterization (mathematics)|characterization]] theorems of [[mathematical statistics]]. It is easy to see that if the random variables <math>\xi</mat [[Category:Theorems in statistics]] ...

...math> on&nbsp;''I'' for every n.<ref>Rudin, Walter (1976), ''Principles of Mathematical Analysis'', McGraw-Hill, p.&nbsp;152.</ref> [[Category:Theorems in real analysis]] ...

In [[mathematical logic]], the '''Hilbert–Bernays provability conditions''', named after [[Da ==Use in proving Gödel's incompleteness theorems== ...

...stated in the form given above by Petrov (in,<ref>{{Cite book|title=Limit theorems of probability theory : sequences of independent random variables|last=Petr [[Category:Probability theorems]] ...

In the [[mathematics|mathematical]] field of [[Riemannian geometry]], '''Toponogov's theorem''' (named after It is one of a family of [[Comparison theorem|comparison theorems]] that quantify the assertion that a pair of geodesics emanating from a poi ...

{{Short description|Mathematical theorem}} ...first2=Walter|title=Arakelian's Approximation Theorem|journal=The American Mathematical Monthly|date=May 1989|volume=96|issue=5|pages=432|doi=10.2307/2325151|jstor ...

...rst-order theories]] of [[classical logic|classical mathematics]] are also theorems of intuitionistic mathematics. It is named after its discoverer, [[Harvey F ...the logic be [[Decidability (logic)|decidable]], allowing the unquantified theorems of the intuitionistic and classical theories to coincide. ...

...nd the relations).<ref>{{harvnb|Procesi|2007|loc=Ch. 9, § 1.4.}}</ref> The theorems are among the most important results of [[invariant theory]]. ...haracteristic (algebra)|characteristic]]-free invariant theory extends the theorems to a [[field (mathematics)|field]] of arbitrary characteristic.<ref>{{harvn ...

...here |url=http://dx.doi.org/10.1214/aoms/1177699073 |journal=The Annals of Mathematical Statistics |volume=38 |issue=1 |pages=213–220 |doi=10.1214/aoms/1177699073 [[Category:Probability theorems]] ...

...z theorems for ''n''-cubes of spaces | journal=[[Proceedings of the London Mathematical Society]] | volume=54 | issue=1 | year=1987 | doi=10.1112/plms/s3-54.1.176 [[Category:Theorems in homotopy theory]] ...

...ntrol]], and [[mathematical economics]].<ref>{{cite book|title=Fixed Point Theorems with Applications to Economics and Game Theory|last=Border|first=Kim C.|pub ...ty]] or [[measurable function|measurability]]. This is where the selection theorems come into action: they guarantee that, if ''F'' satisfies certain propertie ...

...ac{b-a}{n}\right) </math>.<ref>Rosenbaum, J. T. (May, 1971) ''The American Mathematical Monthly'', Vol. 78, No. 5, pp. 509–513</ref> ...t1=Oxtoby|first1=J.C.|title=Horizontal Chord Theorems|journal=The American Mathematical Monthly|date=May 1978|volume=79|pages=468–475|doi=10.2307/2317564}}</ref> ...

...6|pages=82–84|doi=10.2307/2041117|jstor=2041117|issue=1|publisher=American Mathematical Society|doi-access=free}}</ref> ...e = Consensus-halving via theorems of Borsuk-Ulam and Tucker | journal = [[Mathematical Social Sciences]] | volume = 45 | pages = 15–25 | year = 2003 | doi = 10.1 ...

...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 ...

{{Short description|Two theorems needed for Quillen's Q-construction in algebraic K-theory}} ...of classifying spaces of categories to be [[homotopy Cartesian]]. The two theorems play central roles in Quillen's [[Q-construction]] in [[algebraic K-theory] ...

...oe: "On (what should be) a Well-Known Theorem in Geometry." ''The American Mathematical Monthly'', Vol. 74, No. 7 (August – September, 1967), pp. 839–841 ([https:/ ...-pp.12-20.pdf "Generalizations of some famous classical Euclidean geometry theorems."] ''International Journal of Computer Discovered Mathematics'', Vol. 1, No ...