Results 161 to 170 of about 18,239 (195)

Dynamic Reconstruction of the Nickel Ions' Behavior in Different Orthodontic Archwires Following Clinical Application in an Intraoral Environment. [PDF]

Materials (Basel)
Georgieva M, Petkov G, Petrov V, Andreeva L, Martins JNR, Georgiev V, Stoyanova-Ivanova A.   +6 more
europepmc   +1 more source

Pooling controls from nested case-control studies with the proportional risks model. [PDF]

Biostatistics
Chang Y, Ivanova A, Albanes D, Fine JP, Shin YE.   +4 more
europepmc   +1 more source

A Framework for Implementation of Dynamic Discrepancy Reduced-Order Modeling in Advanced Process Control. [PDF]

Ind Eng Chem Res
Dinh S, Nascimento CA, Mebane DS, Lima FV.   +3 more
europepmc   +1 more source

ConNIS and labeling instability: New statistical methods for improving the detection of essential genes in TraDIS libraries. [PDF]

PLoS Comput Biol
Hanke M, Harten T, Foraita R.
europepmc   +1 more source

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Identities for Bernoulli polynomials and Bernoulli numbers

Archiv der Mathematik, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
openaire   +1 more source

Bernoulli Polynomials and Bernoulli Numbers

2002
In this chapter, we introduce a sequence of polynomials that is closely related to the h-antiderivative of polynomials and has many important applications.
Victor Kac, Pokman Cheung
openaire   +1 more source

Formulas for Bernoulli Numbers and Polynomials

Results in Mathematics
Special polynomials and numbers possess much importance in multifarious areas of sciences such as physics, mathematics, applied sciences, engineering, and other related research fields covering differential equations, number theory, functional analysis, quantum mechanics, mathematical analysis, mathematical physics, and so on.
Ulrich Abel, Horst Alzer
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Generalized Bernoulli Polynomials and Numbers, Revisited

Mediterranean Journal of Mathematics, 2014
We describe with some new details the connection between generalized Bernoulli polynomials, Bernoulli polynomials and generalized Bernoulli numbers (Norlund polynomials). A new recursive and explicit formulae for these polynomials are derived.
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Bernoulli Polynomials and Bernoulli Numbers

1973
The summing of the first n natural numbers, or Squares, or cubes, is a rather elementary problem in number theory and leads to the well known formulae $$\eqalign{ & \sum\limits_{n = 1}^N n \, = \,{{N(N + 1)} \over 2}, \cr & \sum\limits_{n = 1}^N {{n^2}} \, = \,{{N(N + 1)(2N + 1)} \over 6}, \cr & \sum\limits_{n = 1}^N {{n^3}} \, = \,{{{N^2}{{(N + 1)}
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Bernoulli Numbers and Polynomials

1976
The oldest distribution is that defined by the Bernoulli polynomials, although of course their classical recurrence property was not called by that name.
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