Results 11 to 20 of about 1,884,911 (319)
ON A COMBINATORIAL PROBLEM OF PROBABILITY
The paper considers an example of Olympiad-type tasks offered to students in order to stimulate independent work. For the right decision, additional points were added to the rating. The solution of the problem is reduced to the recalculation of permutations of a certain type for a sufficiently large number of elements.
L. G. Vetrov, A. L. Sunchalina
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Combinatorial library diversity: probability assessment of library populations [PDF]
A method is described for measuring the diversity of combinatorial oligonucleotide libraries that entails extrapolating the base composition of a co-synthesized model library (dNC, N = A, C, G, T) to that of a multibase library template. The base composition of dNC was measured by HPLC.
B, Ward, T, Juehne
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The substantial key to initiate an explicit statistical formula for a physically specified continua is to consider a derivative expression, in order to identify the definitive configuration of the continua itself. Moreover, this statistical formula is to
Baghdad Science Journal
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Combinatorial probability interpretation of certain modified orthogonal polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Charalambides
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Perfect Hemisphere Trend Realization: A Combinatorial Modification of Probability Distributions [PDF]
The paper reviews creative ways to develop continuous probability models playing around the integration method and the concept of normalization. It further projects a probability distribution realized by combining two symmetric probability models that differ in shape, to produce a perfect hemisphere or half-sun trend.
M. N. Ugo +2 more
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A combinatorial problem related to the classical probability [PDF]
In the classical probability model, let $f(n)$ be the maximum number of pairwise independent events for the sample space with $n$ sample points. The determination of $f(n)$ is equivalent to the problem of determining the maximum cardinality of specific intersecting families on the set $\{1,2,\ldots,n\}$ .
Jiang Zhou
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SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
Let $M_{n}$ denote a random symmetric $n\times n$ matrix whose upper-diagonal entries are independent and identically distributed Bernoulli random variables (which take values $1$ and $-1$ with probability $1/2$ each). It is widely conjectured that $M_{n}
ASAF FERBER, VISHESH JAIN
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A Probability Method to Prove Combinatorial Identities [PDF]
A probability method is provided to prove three classes of combinatorial identities. The method is extremely simple, only one step after the proper probability setup.
Tong Zhu
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A New Triangular Probability Model: A Combinatorial Modification of Probability Distributions [PDF]
The paper projects innovating means to probability modeling using integration method and the concept of normalization. It brings to light a probability distribution obtained by combining a probability density function of a distribution and a cumulative distribution function of another continuous probability model, to produce a triangular trend and a ...
Emwinloghosa Kenneth Guobadia +3 more
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Gibbs Probability Entropy and its Implication to Combinatorial Entropy Models
We show that the class of combinatorial entropy models, such as the Guggenheim–Staverman model, in which the many conformations of a molecule are taken into account, does not fulfill the Gibbs probability normalization condition. The root cause for this deviation lies in the definition of the pure and mixture state.
Gerard Krooshof, de With
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