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...ns of increasing power and increasing computational cost. For each natural number <math display="inline">d \in \mathbb{N}</math> the corresponding convex rel ...iew|date = 2007-01-01|issn = 0036-1445|pages = 651–669|volume = 49|issue = 4|doi = 10.1137/070693709|first = J.|last = Lasserre|arxiv = math/0412398| bi ...

..., in a finite time, the elevator can only open and close its door a finite number of times. ...ational Symposium on Temporal Representation and Reasoning |date=2017|page=4}}</ref> ...

In [[mathematics]], a '''monogenic field''' is an [[algebraic number field]] ''K'' for which there exists an element ''a'' such that the [[ring In a monogenic field ''K'', the [[Discriminant of an algebraic number field|field discriminant]] of ''K'' is equal to the [[discriminant]] of the ...

...and could equivalently be represented by the lines <math> \bar 1- 6, \bar 4 - 6, \bar 5 - 6, \bar 1 - \bar 5</math> (for instance). ...diagram comes with a factor <math>n^D</math>, where <math>D</math> is the number of connected components that are disconnected from the top and bottom eleme ...

...theorem by mathematical induction, generalizing the formula for the <math>4^{\text{th}}</math> order moments,<ref>{{cite journal |last=Isserlis |first= ...sum. For example, for <math>4^{\text{th}}</math> order moments (i.e. <math>4</math> random variables) there are three terms. For <math>6^{\text{th}}</ma ...

...langle n \rangle</math>, and <math>\langle n \rangle</math> is the average number of [[photons]] in the state and is related to the intensity of the light. ...avg5.png|thumb|right|Representation of coherent states with average photon number of 5. These states have little overlap and are easily distinguished.]] ...

...neme]]s in speech signal from 6 different Japanese speakers, 2 females and 4 males. They trained 6 experts, each being a "time-delayed neural network"<r ...n Neural Information Processing Systems |publisher=Morgan-Kaufmann |volume=4}}</ref> proposed <math>f_i(y|x) = N(y | A_i x + b_i, \Sigma_i)</math>, wher ...

...non-reduced [[affine root system]]. It is related to Euler's [[pentagonal number theorem]]. ...urnal=Journal of the London Mathematical Society | issn=0024-6107 | volume=4 | issue=1 | pages=39–48}} ...

...NADPH:FMN oxidoreductases | journal = Biochemistry | volume = 17 | issue = 4 | pages = 672–8 | date = February 1978 | pmid = 23827 | doi = 10.1021/bi005 ...

...e non-negative integer <math>i</math> (where <math>i</math> represents the number of inputs to the gate), and The ''size'' of a circuit is the number of nodes of a circuit. The ''depth of a gate'' <math>g</math> is the length ...

...wing the compactly supported cardinal B-spline wavelets of orders 1, 2, 3, 4 and 5.]] ...e the set of all [[real-valued function]]s defined over the set of [[real number]]s such that each function in the set as well its first ''n'' [[derivative ...

::B 4:1 {{lang|he|ויספו בני ישראל לעשות הרע בעיני יהוה}} ...he|וימכרם}}, "and he sold them," from the root {{lang|he|מָכַר}}, {{Strong-number|''makar''|H|4376}} ...

:N is the number of contributing sources, for example number of wells ...is the theoretical (estimated) production for well k;&nbsp;&nbsp;N is the number of wells;&nbsp;&nbsp;<math> Q_n </math> is the net quantity, the measured a ...

| <math>\frac{1}{r^4} P^0_3(\sin\theta) = \frac{1}{r^4} \frac{1}{2} \sin\theta\ (5\sin^2\theta -3)</math> | <math>\frac{1}{r^4} P^1_3(\sin\theta) \cos\varphi = \frac{1}{r^4} \frac{3}{2}\ (5\ \sin^2\theta - 1) \cos\theta \cos\varphi</math> ...

{{term|[[Abbe number]]}} {{ghat|Also called the '''V-number''' or '''constringence'''.}} ...

where <math> G_\sigma=C\sigma^{-1/2}\exp\left(-|x|^2/4\sigma\right)</math>. ...ing the diffusion with an edge seeking diffusion coefficient for a certain number of iterations, the image can be evolved towards a piecewise constant image ...

...a runtime of <math>O(\log(N)\kappa^2)</math>, where <math>N</math> is the number of variables in the linear system. This offers an exponential speedup over ...n to solving systems of linear equations|journal=Scientific Reports|volume=4|year=2014|pages=6115|issn=2045-2322|doi=10.1038/srep06115|pmid=25135432|pmc ...

...[[regular polygon]]s beyond the classical [[constructible polygon]]s of 3, 4, or 5 sides, or of any power of two times these numbers, and the constructi ...provides a [[Gnomon (figure)|gnomon]]-based proof of [[Squared triangular number|Nicomachus's theorem]] that the sum of the first <math>n</math> cubes is th ...

...477x477px|Skewness (top) and Asymmetry (bottom) plotted against the Ursell number on a [[logarithmic scale]].]] == Ursell number == ...

...ub>]]'''[[Image:Demipenteract graph ortho.svg|25px]]<BR>[[5-simplex|{3⁴}]][[Image:5-simplex t0.svg|25px]] ...]]'''[[Image:Cross graph 4.svg|25px]]<BR>[[5-cell|{3³}]][[Image:4-simplex t0.svg|25px]] ...