summability उदाहरण वाक्य

Note that if k _ n \ ge0 for all n, i . e . ( k _ n ) is a "'positive summability kernel "', then the second requirement follows automatically from the first.
The QSHJE can be demonstrated to imply the Schr�dinger equation with square-summability of the wave function, and thus quantization of energy, due to continuity conditions of the quantum potential, without any assumption on the probabilistic interpretation of the wave function.
Riesz means are often used to explore the summability of sequences; typical summability theorems discuss the case of s _ n = \ sum _ { k = 0 } ^ n a _ k for some sequence \ { a _ k \ }.
Riesz means are often used to explore the summability of sequences; typical summability theorems discuss the case of s _ n = \ sum _ { k = 0 } ^ n a _ k for some sequence \ { a _ k \ }.
Wiener's Tauberian theorem, a 1932 result of Wiener, developed Tauberian theorems in summability theory, on the face of it a chapter of real analysis, by showing that most of the known results could be encapsulated in a principle taken from harmonic analysis.

His most significant result is the research and of unitary and nonunitary dual group SU ( " n ", 1 ), index generalization for semisimple Banach algebras, contributions to the research of Landau-type inequalities for infinitesimal generators to the theory of almost-summability.
I believe it's true a case has been made that there is a relationship between summability and manipulativity, but it's too farfetched to justify the article being turned into a redirect to tactical voting .-- Talk ) 20 : 00, 27 February 2006 ( UTC)
If the partial summation operator " S N " is replaced by a suitable summability kernel ( for example the " Fej�r sum " obtained by convolution with the Fej�r kernel ), basic functional analytic techniques can be applied to show that norm convergence holds for 1 d " " p " < ".
Typically, a sequence is summable when the limit \ lim _ { n \ to \ infty } R _ n exists, or the limit \ lim _ { \ delta \ to 1, \ lambda \ to \ infty } s ^ \ delta ( \ lambda ) exists, although the precise summability theorems in question often impose additional conditions.
I think the effect is described in many places even if it's not called the " summability criterion ", but having a title for it is useful . "'Delete "'all the others, which are original research that hasn't caught on and hasn't been published . yYYds y 08 : 38, 26 February 2006 ( UTC)