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...]}, \cdots, Y_{[r_k:n]} \right)</math> is dependent, but are conditionally independent given <math>X_{r_1:n} = x_1, \cdots, X_{r_k:n} = x_k</math> for all ''k'' w * {{cite book | title = Special Functions for Applied Scientists | first1 = A. M. | last1 = Mathai | first2 = Hans J. | last2 = Haubold | p ...

...at the Sanford Underground Laboratory in Lead, South Dakota. More than 100 scientists and engineers across 18 institutions in the U.S. and Europe are involved in ...ptobarn]] (<math>10^{-45} cm^2</math>) WIMP-nucleon cross section for spin-independent couplings.<ref name="physrev" /> The detector's sensitivity helps eliminate ...

...that had stood as the best known for 24 years. Her initial improvement was independent of Andrew Stothers, who also improved the same bound a year earlier; after [[Category:American computer scientists]] ...

...n of communication and electricity systems. Commelec has been developed by scientists at [[École Polytechnique Fédérale de Lausanne]], a [[research]] [[institute === Device-independent Protocol for Message Exchange === ...

...13, Kindlmann appeared in ''[[Computer Chess (film)|Computer Chess]]'', an independent comedy-drama film written and directed by [[Andrew Bujalski]] about a group [[Category:American computer scientists]] ...

The Hammett substituent constant, {{mvar|σ}}, is composed of two independent terms: an inductive effect {{mvar|σ_I}} and a resonance polar eff ...component, {{mvar|σ_R}}, does not. From this assumption, the two scientists defined a new resonance substituent constant, {{mvar|G(R)}}, that is mathem ...

...297-305.</ref> This formula was useful when first introduced as it allowed scientists to be able to track the progression and growth of a plant. According to ''A This formula was introduced in 1957 by scientists Ralph O. Erickson and Francis J. Michelini, making this scientific formula ...

...oblem thereafter, the resulting additional freedom – introduced by the new independent variables – is used to remove (unwanted) [[secular variation|secular terms] | title=Advanced mathematical methods for scientists and engineers ...

...5% confidence level—as if green were the only color tested. In fact, if 20 independent tests are conducted at the 0.05 significance level and all null hypotheses ...r of tests performed. The FWER when all null hypotheses are true for ''m'' independent tests, each conducted at significance level &alpha;, is:<ref name=StatsDone ...

...e include the learning Poisson binomial distributions and learning sums of independent integer random variables. All the results below hold using the [[total vari Consider <math>\textstyle n</math> independent Bernoulli random variables <math>\textstyle X_1, \dots, X_n</math> with pro ...

...<ref>Agresti, A. and Kateri, M. (2021), Foundations of Statistics for Data Scientists: With R and Python, CRC Press. {{ISBN|978-0-367-74845-6}} (Section 5.3.2)</ ...n''</sub> and ''Y''₁,&nbsp;...,&nbsp;''Y''_''m'' be [[independent and identically distributed]] samples from two populations which each has a ...

...tting, there is a true state of the world, and each agent receives a noisy independent signal from this true value and communicates with other agents repeatedly. ...

'''Causal inference''' is the process of determining the independent, actual effect of a particular phenomenon that is a component of a larger s ...f incorrect methodologies by scientists, and of deliberate manipulation by scientists of analytical results in order to obtain statistically significant estimate ...

| workplaces = [[Independent University, Bangladesh]]<br />[[BRAC University]]<br />[[North South Univer ...sity]] and held similar teaching positions at [[BRAC University]] and at [[Independent University, Bangladesh]], since 2000.<ref name="northsouth.edu">{{cite web ...

...the function as proportional to the [[Dependent and independent variables|independent variable]] raised to a [[Exponentiation|power]], retained only the [[Degree ...math>g(z)</math> of [[parameter]] or [[Dependent and independent variables|independent variable]] <math display="inline">z</math> and the quotient <math display=" ...

...ntage, the method using dual numbers to compute sensitivities is step size independent; therefore, a typical step size is <math>h=1</math>. This is in contrast to ...numbers. A second disadvantage for dual numbers is that most engineers and scientists are not familiar with dual numbers. Therefore, a short introduction is prov ...

Each of <math>n</math> independent jobs (denoted <math> J </math>) have to be processed by exactly one of <mat [[Category:American theoretical computer scientists]] ...

...andom variables,<ref>{{citation|title= An approximation of partial sums of independent RV'-s, and the sample DF. I|journal=Probability Theory and Related Fields|v [[Category:Theoretical computer scientists]] ...

| title=Turbulence: an introduction for scientists and engineers As <math>t\to\infty,</math> the solutions become independent of <math>\mu</math> ...

...th>X^n \triangleq X_1, \ldots, X_n</math>, and then if <math>m</math> more independent samples were taken, the number of unseen species that will be discovered by ...predictive algorithm. Knowing that the estimators are accurate, it allows scientists to extrapolate accurately the results of polling people by a factor of 2. T ...