equidistribution การใช้

• More precisely, consider equidistribution in " n "-dimensional ball.
• The first and last transforms are added in order to improve lower-bit equidistribution.
• In the one-dimensional case, the distribution is uniform by the equidistribution theorem.
• Specifically, the Gini coefficient is twice the area between the Lorenz curve and the equidistribution line.
• Two of the most important theorems are those of mixing and equidistribution, have also been extensively studied.
• Equidistribution is a rather weak criterion to express the fact that a sequence fills the segment leaving no gaps.
• In 2008 he was an invited speaker ( " Effective equidistribution and spectral gap " ) at the European Mathematical Congress in Amsterdam.
• The initial approximation for SOM was equidistribution of nodes in a segment on the first principal component with the same variance as for the data set.
• :: : : : This is in reference to the equidistribution theorem on the circle group \ mathbb T = \ mathbb R / \ mathbb Z.
• The Weyl equidistribution theorem then asserts that if the length \ lambda _ 1 is irrational, then T _ { \ pi, \ lambda } is uniquely ergodic.
• From the property of TGFSR, s + t \ ge \ lfloor w / 2 \ rfloor-1 is required to reach the upper bound of equidistribution for the upper bits.
• A powerful general result is Weyl's criterion, which shows that equidistribution is equivalent to having a non-trivial estimate for the exponential sums formed with the sequence as exponents.
• He introduced the Van der Corput lemma, a technique for creating an upper bound on the measure of a set drawn from harmonic analysis, and the Van der Corput theorem on equidistribution modulo 1.
• As like TGFSR ( R ), the Mersenne Twister is cascaded with a tempering transform to compensate for the reduced dimensionality of equidistribution ( because of the choice of " A " being in the rational normal form ).
• The Gini coefficient is a measure of the deviation of the Lorenz curve from the equidistribution line which is a line connecting [ 0, 0 ] and [ 1, 1 ], which is shown in black ( ? =  " ) in the Lorenz plot on the right.
• His idea of natural value tends to highlight how the value of property is continuously dependent on the distribution of income between different social classes, so that in the presence of a situation greatly lacking in equidistribution, goods or services provided with little social utility can be of great value, and vice versa.
• Describes an informal probability argument, based on rather dubious assumptions about the equidistribution of class numbers mod " p ", suggesting that the number of primes less than " x " that are exceptions to the Kummer Vandiver conjecture might grow like ( 1 / 2 ) log log " x ".
• This is the celebrated ergodic theorem, in an abstract form due to George David Birkhoff . ( Actually, Birkhoff's paper considers not the abstract general case but only the case of dynamical systems arising from differential equations on a smooth manifold . ) The equidistribution theorem is a special case of the ergodic theorem, dealing specifically with the distribution of probabilities on the unit interval.