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& \text{if } \theta \geq m & \text{if }\theta<m ...

...trates how the average signal density approaches desired value. The pseudo-random pulses in the signal are visible. SSDM can be seen as a special case of [[Pulse-density modulation]] (PDM) or Random Pulse Width Modulation (RPWM). ...

| mean = <math>-\frac{\text{polylog}(2,1-p)}{\beta\ln p}</math> ...th>-\frac{2 \text{polylog}(3,1-p)}{\beta^2\ln p}</math><br> <math>-\frac{ \text{polylog}^2(2,1-p)}{\beta^2\ln^2 p}</math> ...

| support = <math> -\infty \text{ to } +\infty </math> ==Generation of random variables== ...

{{Distinguish|text=the [[exponential family]] of probability distributions}} | mode = <math>\frac{1+\sqrt{1-2 \theta}}{\theta},\text{ for } \theta \le 1/2 </math> ...

...1 = Kardi | last2 = Fernandez | first2 = Proceso| title = Background Image Generation Using Boolean Operations | year = 2015 | class = cs.CV | eprint =1510.00889 ...ideo images when there are no objects. More recently, automatic background generation through [[object detection]], [[medial filtering]], [[medoid filtering]], [ ...

<math>b\overset{\text{def}}{{}={}}\left\{0,1\right\}</math> — The set of bits.<br /> Let us take === Key Generation === ...

\text{ or } \text{ and } ...

:{|class="wikitable" style="text-align: right;" |style="text-align: left;"| Stem ...

D}{2}}\Gamma_D(\frac{\nu}{2})}\text{exp}\left\{ == Generating normal-inverse-Wishart random variates == ...

:<math> (x,\sigma^2) \sim \text{N-}\Gamma^{-1}(\mu,\lambda,\alpha,\beta) \! . (<math>\text{NIG}</math> is also used instead of <math>\text{N-}\Gamma^{-1}.</math>) ...

...}</ref><ref name=":0" /> Depending on use the construction and definition, random polytopes may differ. [[File:RandomPoltyope(1).png|thumb|Random polytope of a set of random points in accordance with definition 1]] ...

...nd standardized [[statistic]] to denote the characteristic height of the [[random]] waves in a ''[[sea state]]'', including [[wind wave|wind sea]] and [[swel *In random waves at sea, when the surface elevations are measured with a [[weather buo ...

...bolic distance yielding the connection probability). A HGG generalizes a [[random geometric graph]] (RGG) whose embedding space is [[Euclidean space|Euclidea ...|last2=Di Paolo|first2=E.|last3=Bullock|first3=S.|title=Spatially embedded random networks|journal=Physical Review E|volume=76|issue=5|doi=10.1103/PhysRevE.7 ...

...[[Digital Signature Algorithm|DSA]] have parameters which must be set with random information. He shows how one can make use of these parameters to send a me An easy example of a narrowband subliminal channel for normal human-language text would be to define that an even word count in a sentence is associated with ...

...s to create a bounded set, which can then be sampled uniformly to generate random variables following the original distribution. One feature of this method i ...tion created by the ratio of two [[Continuous uniform distribution|uniform random variables]]. ...

...tistical sample|sample]] <math>\{x_1,\ldots,x_m\}</math> observed from a [[random variable]]. ...ion of the questioned distribution law, we bootstrap entire populations of random variables [[Algorithmic inference#compatible distribution|compatible]] with ...

:<math> k_{\text{max}} \sim N^{\frac{1}{\gamma-1}} </math>. ...se neutral network may show disassortative degree correlations if <math>k_\text{max} > k_s </math>. ...

}}</ref> and generation of colored noise.<ref>{{cite journal | title = Generation of colored noise ...

...d estimators]] of mean and variance, computed on samples from the previous generation. ..., 1, \dots, M_i \,{}\}}</math> at generation <math>i</math>, then the next generation model is estimated using the sample mean and variance: ...