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{{Short description|Criterion for convergence of continued fractions}} ...on be renamed the Śleszyński criterion?|journal=Comm. Anal. Theory Contin. Fractions|volume=1|year=1992|pages=13&ndash;20}}</ref> ...

...tional function|rational expression]]s – which includes simple [[fraction (mathematics)|fraction]]s. The result is an equation with no fractions. ...

...ra]] as it was developed and used in [[ancient Egypt]]. [[Ancient Egyptian mathematics]] as discussed here spans a time period ranging from {{abbr|c.|circa}} 3000 ...|title=Ancient Egyptian Science: A Source Book Volume 3: Ancient Egyptian Mathematics |series=Memoirs of the American Philosophical Society |volume=232 |location ...

{{Short description|Objects between rings and their fields of fractions}} ...tween [[commutative ring| rings]] and their [[field of fractions|fields of fractions]]. They were introduced by {{harvs|txt|last=Faltings|first=Gerd|authorlink= ...

...main''' or '''G-domain''' is an [[integral domain]] ''A'' whose [[field of fractions]] is a finitely generated [[algebra over a ring|algebra]] over ''A''.<ref n ...ring]] (i.e., an intermediate ring lying between the ring and its field of fractions) of a Goldman domain is again a Goldman domain. There exists a Goldman doma ...

...rey|title=Applying Euler's Formula to Integrate|journal=American Review of Mathematics and Statistics|date=2019 |publisher=American Research Institute for Policy ==Fractions== ...

...pātīgaṇita''may be contrasted with "bījagaṇita" which denotes the area of mathematics referred to as algebra. #Computation of fractions of the form <math>(a/b)+(c/d)</math> ...

...tive texts, medical texts, veterinarian texts and six fragments devoted to mathematics.<ref>[http://www.digitalegypt.ucl.ac.uk/lahun/papyri.html The Lahun Papyri] ...'Ancient Egyptian Science, A Source Book''. Volume Three: Ancient Egyptian Mathematics (Memoirs of the American Philosophical Society) American Philosophical Soci ...

'''''Ganita Kaumudi''''' ({{langx|sa|गणितकौमदी}}) is a treatise on [[mathematics]] written by Indian mathematician [[Narayana Pandita (mathematician)|Naraya ...divided into 14 chapters (''vyavahāra''):<ref name=mii27>M. D. Srinivas, ''Mathematics In India'', Lecture 27.</ref> ...

...is a [[central simple algebra]] over <math>Z_{(0)}</math>, the [[field of fractions]] of ''Z''.<ref>{{harvnb|Artin|1999|loc=Theorem V. 8.1.}}</ref> It is named ...n''×''n'' matrices | zbl=0714.16001 | series=Regional Conference Series in Mathematics | volume=78 | location=Providence, RI | publisher=[[American Mathematical S ...

'''Hermite's problem''' is an [[open problem]] in [[mathematics]] posed by [[Charles Hermite]] in 1848. He asked for a way of expressing [ ...rational numbers require an infinite sequence to express them as continued fractions.<ref>{{citation|first=Leonhard|last=Euler|url=https://scholarlycommons.paci ...

...' is an [[Expression (mathematics)|expression]] in which some [[Operation (mathematics)|operators]] take an infinite number of [[Argument of a function|arguments] * [[continued fraction|infinite continued fractions]], such as ...

For example, the numerators of the fractions given by <math> \sum_{i=1}^{4} \frac{1}{i} </math>, <math> \sum_{i=1}^{20} ...994.10504298 | journal = [[Experimental Mathematics (journal)|Experimental Mathematics]] | volume = 3 | issue = 4 | pages = 287–302 | year = 1994 | id = [[CiteSee ...

...h theory)|matching]] in which, intuitively, each vertex may be broken into fractions that are matched to different neighbor vertices. ...ible extension of Hall's theorem to bipartite hypergraphs|journal=Discrete Mathematics|language=en|volume=84|issue=3|pages=309–313|doi=10.1016/0012-365X(90)90136- ...

In [[recreational mathematics]], '''rope-burning puzzles''' are a class of [[mathematical puzzle]] in whi ...ability,{{r|mkg}} and have been suggested as an activity for middle school mathematics students.{{r|brumbaugh}} ...

...tself. Spelled out, this means that if ''x'' is an element of the field of fractions of ''A'' that is a root of a [[monic polynomial]] with [[coefficient]]s in Let ''A'' be an integrally closed domain with field of fractions ''K'' and let ''L'' be a [[field extension]] of ''K''. Then ''x''&isin;''L' ...

...ing]] that is [[embedding|embedded]] in a [[vector space]] over a [[field (mathematics)|field]], giving an algebraic generalisation of the way a [[Lattice (group) Let ''R'' be an [[integral domain]] with [[field of fractions]] ''K''. An ''R''-[[submodule]] ''M'' of a ''K''-vector space ''V'' is a ' ...

In mathematics, '''Lentz's algorithm''' is an [[algorithm]] to evaluate [[generalized cont ...Generating Bessel functions in Mie scattering calculations using continued fractions|url=http://dx.doi.org/10.1364/ao.15.000668|journal=Applied Optics|volume=15 ...

{{short description|Debate on mathematics education}} ...ign, history of mathematics, philosophy of mathematics, and computer-based mathematics. ...

In [[mathematics]], the '''Weber modular functions''' are a family of three functions ''f'', ...up="note>https://www.math.ucla.edu/~wdduke/preprints/bams4.pdf ''Continued Fractions and Modular Functions'', W. Duke, pp 22-23</ref> The function <math>\eta(\t ...