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In [[number theory]], two positive [[integer]]s ''a'' and ''b'' are said to be '''multi ...ely dependent since <math>36^3=(6^2)^3=(6^3)^2=216^2</math>, whereas 2 and 3 are multiplicatively independent. ...

...me]] with [[List of enzymes|systematic name]] ''S-adenosyl-L-methionine:4-(3-methylbut-2-enyl)-L-tryptophan N-methyltransferase''.<ref>{{cite journal | ...

* <math>n = </math> the number of samples in <math>y</math> ...\}_{i=1}^n,</math> a differentiable loss function <math>L(y, F(x)),</math> number of iterations {{mvar|M}}. ...

...]]s. It changes per-program system settings in Windows to allow [[Windows 3.1]] programs that are tailored specifically to that platform to execute und When it is invoked, one can choose the name of the Windows 3.1 application program image file using the "Choose Program" option on the " ...

...solution that associate into a micelle, commonly denoted the [[aggregation number]]. ...<math>\phi</math> against <math>S_{tot}</math>) relationship <math>\frac{d^3\phi}{dS^3_{tot}}</math>=0. By [[implicit differentiation]] of <math>S_{tot} ...

...Vicary | first4=Jamie | title=Modular categories as representations of the 3-dimensional bordism 2-category | date=2015-09-22 | class=math.AT | eprint=1 ...l |last=Turaev |first=Vladimir G. |date=1992 |title=Modular Categories and 3-Manifold Invariants |journal=International Journal of Modern Physics B |vol ...

...ion|date = 2002-06-01|issn = 0925-8531|pages = 349–365|volume = 11|issue = 3|doi = 10.1023/A:1015590229647|first = Hans P. van|last = Ditmarsch| s2cid=1 ...and many axioms for these notions were proposed and discussed.<ref name=":3">{{Cite journal|title = Recent Work in Epistemic Logic|last = Lenzen|first ...

...lane with none of its edges crossing, and that it is [[vertex connectivity|3-vertex-connected]]: the removal of any two of its vertices leaves a connect By [[Steinitz's theorem]], every graph that is planar and 3-vertex-connected has a [[convex polyhedron]] with the graph as its [[skelet ...

...cc3|[[Schläfli symbol]]||₃{3}₃{3}₃{3}₃ |bgcolor=#e7dcc3|[[Coxeter diagram]]||{{CDD|3node_1|3|3node|3|3node|3|3node}} ...

...December 27, 2020) was a Serbian mathematician, specializing in [[analytic number theory]]. He gained an international reputation and gave lectures on the [[ ...anu"/> He was recognized as one of the world's leading experts on analytic number theory related to the [[Riemann hypothesis]] and the [[Lindelöf hypothesis] ...

...choose <math>x^{(1)} = (x_1,x_3), x^{(2)} = (x_2,x_5)</math> and <math>x^{(3)} = x_4</math>. ...lgorithm are random vectors, a complexity result would give a bound on the number of iterations needed for the method to output an approximate solution with ...

| license = [[CC BY-NC]] 3.0 ...ds) Advances in Cryptology – ASIACRYPT 2017 |pages=409–437|doi=10.1007/978-3-319-70694-8_15 }} ...

...dges 1 |previousletter= chapter 1 |nextlink= Judges 3 |nextletter= chapter 3 |book= [[Book of Judges]] |biblepart=[[Old Testament]] ([[Heptateuch]]) | ...kness (1:19), but due to the unfaithfulness of Israel to the covenant (2:2–3). People's reaction to these harsh predictions provides the etymology for ...

...nnual Review of Fluid Mechanics]]|volume=3|pages=37–62|bibcode=1971AnRFM...3...37H|doi=10.1146/annurev.fl.03.010171.000345|doi-access=}}</ref> It is fre ...mode/2up}} Hartmann number is indicated by letter M in analogy with [[Mach number]] for aerodynamics. ...

...site=www.physik.uni-heidelberg.de|accessdate=22 December 2021|archive-date=3 February 2022|archive-url=https://web.archive.org/web/20220203071257/https: ...on of supramolecular complexes including living cell conditions. It allows 3 D imaging of biological preparations marked with conventional fluorescent d ...

...ngs for universities in [[Turkey]] using additional indicators such as the number of students and faculty members obtained from Center of Measuring, Selectio .... URAP uses data of 2,500 Higher Education Institutions (HEI) with highest number of articles published. The overall score of each HEI is based on its perfor ...

...g to convey 1, 2, 4 or 8 bits, with increased sensitivity to timing as the number of bits increases. In multiphase power lines, a separate signal might be s The standard's low speed is caused by the limited number of bits per power line cycle. The speed is also limited by noise, and the l ...

...Context-Freeness of Natural Language]". ''Linguistics and Philosophy'', 8(3):333–343, 1985.</ref> ...13th International Conference, DLT 2009, Stuttgart, Germany, June 30–July 3, 2009. Proceedings'', volume 5583 of ''Lecture Notes in Computer Science'', ...

...al Proceedings of the Cambridge Philosophical Society]] |volume=53 |number=3 |date=1957 |pages=599–611 |doi=10.1017/S0305004100032655}}</ref> * <math>N</math> is a large number. ...

Let ''m'' be an odd number, and <math>n = 2^m-1</math>. We first describe the '''extended Preparata ...th>\sum_{x \in X} x^3 + \left(\sum_{x \in X} x\right)^3 = \sum_{y \in Y} y^3.</math> ...