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The different configurations can be best distinguished based on the [[Weber Number]], hence on the relative magnitude between the imposed velocity and the int In the first geometry, the imposed velocity is zero (We=0), after an unstable liquid bridge is generated by rapid motion of two coaxi ...

...evasiveness conjecture''') is a group of related [[conjecture]]s about the number of questions of the form "Is there an edge between vertex <math>u</math> an ...lly, a graph property is a mapping from the class of all graphs to <math>\{0,1\}</math> such that isomorphic graphs are mapped to the same value. For ex ...

...by <math>cT(n)</math> where <math>c</math> is a constant such that <math>c>0</math> and <math>T(n)</math> is a function of <math>n</math>, and <math>\T |Promise problems such that for functions <math>a,b:\N\to [0,1]</math>, there exists a polynomial time generated family of quantum circu ...

...'''cell-probe complexity''' of the data structure is characterized by the number of memory cells accessed during preprocessing, query and (if relevant) upda ...as the introduction of the cell-probe model. Yao used it to give a minimum number of memory cell "probes" or accesses necessary to determine whether a given ...

:Which initial configuration leads to the maximum number of 'swops' before the algorithm terminates? In literature there are some attempts to find lower and upper bounds for the number of iterations <math>f(N)</math>. ...

...ber 2018 | pmid = 30293985 | pmc = 6221895 | doi = 10.1038/s41437-018-0148-0 }}</ref> ...nciples of population genetics|date=1997|publisher=Sinauer Associates|isbn=0-87893-306-9|edition=3rd|location=Sunderland, MA|oclc=37481398|pages=111–163 ...

...small samples if the actual [[skedastic function]] is unknown.<ref name=":0">{{Cite book |last=Angrist |first=Joshua D. |url=https://www.degruyter.com/ ...dels |last2=Trivedi |first2=Pravin K. |publisher=Sage |year=1993 |isbn=978-0-8039-4506-7 |editor-last=Bollen |editor-first=Kenneth A. |location=London | ...

...icit metrics have been found which satisfy the Einstein field equations, a number of which are collected here. These model various phenomena in general relat ...a given [[dimension]], and each of these can be formulated in an arbitrary number of dimensions. ...

...is a fairly difficult problem due to its large search space and its large number of [[local minimum|local minima]]. ...nimum is at <math>\mathbf{x} = \mathbf{0}</math> where <math>f(\mathbf{x})=0</math>. ...

:<math>E[u\mid x]=0</math> ...parameter|parameter]]. The conditional moment restriction <math>E[u\mid x]=0</math> is consistent with infinitely many moment conditions. For example: ...

...ing features of (1) being informationally complete; (2) having the minimal number of outcomes compatible with informational completeness, and (3) being highl ...first3=Gary|last4=Yard|first4=Jon|date=2017-04-24|title=SICs and Algebraic Number Theory|journal=[[Foundations of Physics]]|language=en|volume=47|issue=8|pag ...

...raw Hill Encyclopaedia of Physics (2nd Edition), C.B. Parker, 1994, {{ISBN|0-07-051400-3}}</ref> :<math>e\mu_\text{e}nE+eD_\text{e}\frac{dn}{dx}=0</math> ...

...] exhibits cyclic sieving, with evaluations at roots of unity counting the number of rectangular standard [[Young tableaux]] fixed by repeated applications o ...ate=1994 |volume=68 |issue=2 |page=372-409 |doi=10.1016/0097-3165(94)90112-0|hdl=2027.42/31216 |hdl-access=free }}</ref> ...

...ion (graph theory)|orientations]] of its edges. It states that the minimum number of colors needed to properly color any graph <math>G</math> equals one plus ...heorem implies that every orientation of a graph with {{nowrap|[[chromatic number]] <math>k</math>}} contains a simple directed path with {{nowrap|<math>k</m ...

...the system is bound like this, the state of the system as a whole has spin 0 too and is non-magnetic. The two spins forming the bond are [[Maximally ent ...in liquid would not develop magnetic order at any temperature <math>(T_c = 0 )</math> and so would have a diverging frustration parameter <math> f \to \ ...

*&Omega;_&xi; = &omega;_&xi; if &xi; > 0, &Omega;₀ = 1 * <math>\psi_\nu(0)=\Omega_\nu, </math> <ref name="buchholz84">{{Cite journal |last=Buchholz | ...

:''And Elijah took twelve stones, according to the number of the tribes of the sons of Jacob, to whom the word of the Lord had come, ...chive.org/details/halleysbiblehand00henr | url-access= registration| isbn= 0-310-25720-4}} ...

! <math>\theta</math> reflected in <math>\alpha = 0</math><ref>Abramowitz and Stegun, p.&nbsp;72, 4.3.13–15</ref><br /><span st ...\pi</math><br /><span style="font-weight:normal">compare to <math>\alpha = 0</math></span> ...

...d this theorem by the following construction. If <math>n</math> is an even number, with <math>n=2k</math>, then the circle given by the following equation pa ...s <math>5^{(k-1)/2}/2</math>, and is centered at the point <math>(\tfrac12,0)</math>. For instance, the figure shows a circle with radius <math>\sqrt 5/ ...

...=\frac{\lambda^r}{\Gamma(r)}\,e^{-\lambda x} x^{r-1}~~~~~~(x>0;\,\lambda,r>0) ...bda_1,\dots,\lambda_p)\,=\,K\sum^p_{j=1}P_j(y)\,e^{-\lambda_j\,y}\,,~~~~(y>0) ...