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In mathematics, the Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients. The Gaussian binomial coefficient, written as or , is a polynomial in q with integer coefficients, whose value when q is set to a prime power counts the number of subspaces of dimension k in a vector space of dimension n over , a finite field with q elements; i.e. it is the number of points in the finite Grassmannian .
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the Gaussianbinomialcoefficients (also called Gaussiancoefficients, Gaussian polynomials, or q-binomialcoefficients) are q-analogs of the binomial coefficients...
mathematics, the binomialcoefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomialcoefficient is indexed...
partition yields a partition of n − M into at most M parts. The Gaussianbinomialcoefficient is defined as: ( k + ℓ ℓ ) q = ( k + ℓ k ) q = ∏ j = 1 k + ℓ...
number system Factorial prime Gamma distribution Gamma function Gaussianbinomialcoefficient Gould's sequence Hyperfactorial Hypergeometric distribution...
processing, one uses a discrete Gaussian kernel, which may be approximated by the Binomialcoefficient or sampling a Gaussian. In geostatistics they have...
the binomial distribution, but for counts of multi-way occurrences (e.g., yes/no/maybe in a survey) Negative binomial distribution, for binomial-type...
processing, a Gaussian filter is a filter whose impulse response is a Gaussian function (or an approximation to it, since a true Gaussian response would...
In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is...
theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...
algorithms such as Gaussian elimination and Cramer's rule to find solutions to the system. The leading entry (sometimes leading coefficient[citation needed])...
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...
lemma in relation to polynomials Gaussianbinomialcoefficient, also called Gaussian polynomial or Gaussiancoefficient Gauss transformation Gauss–Bodenmiller...
provides methods for the estimation of ICC and repeatabilities for Gaussian, binomial and Poisson distributed data in a mixed-model framework. Notably,...
takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which describes the number of successes in a series of independent...
In mathematics, the Fibonomial coefficients or Fibonacci-binomialcoefficients are defined as ( n k ) F = F n F n − 1 ⋯ F n − k + 1 F k F k − 1 ⋯ F 1...
histogram converges toward a Gaussian curve as n approaches infinity; this relation is known as de Moivre–Laplace theorem. The binomial distribution article details...
product-moment correlation coefficient (PPMCC), or "Pearson's correlation coefficient", commonly called simply "the correlation coefficient". It is obtained by...
images. The following example provides three steps to remove unwanted white Gaussian noise from the noisy image shown. Matlab was used to import and filter...
the number of paths to the kth bin on the bottom is given by the binomialcoefficient ( n k ) {\displaystyle {n \choose k}} . Note that the leftmost bin...
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