POLYNOMIER in English translation

• polynomials

Examples of using Polynomier in Danish and their translations into English

I den anden af de papirer Thomae viste også, at rødderne i et polynomium kan udtrykkes i form af hyperelliptiske Theta funktioner.
In the second of the papers Thomae also showed that the roots of a polynomial can be expressed in terms of hyperelliptic theta functions.

Jeg skulle lege med forskellige matematiske strukturer… Knuder, polynomier.
I had to play around with various mathematical structures… knots, multivariate polynomials.

I sin afhandling Schwarz betragtes reducibility af polynomier over begrænsede områder.
In his dissertation Schwarz considered reducibility of polynomials over finite fields.

Chebotaryov arbejdet på algebra af polynomier, især undersøge fordelingen af nuller.
Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros.

I samme år han offentliggjort arbejde om evaluering af polynomier ved computeren.
In the same year he published work on the evaluation of polynomials by computer.

Riemann-Roch sætning og algebraisk polynomier.
the Riemann-Roch theorem and algebraic polynomials.

Han skelnede mellem disse strukturer ved hjælp af numeriske invariants baseret på Todd polynomier.
He distinguished between these structures using numerical invariants based on the Todd polynomials.

Han viste resultater omkring afgrænset polynomier og skabte generel operatør metoder til sekvens tilnærmelse.
He proved results about bounded polynomials and created general operator methods of sequence approximation.

I 1968 offentliggjorde han Chebyshev polynomier i numerisk analyse i samarbejde med IB Parker.
In 1968 he published Chebyshev polynomials in numerical analysis in collaboration with I B Parker.

For at bevise ovenstående påstand lad os først tage af alle polynomier med heltals koefficienter.
To prove the above assertion let us first consider the set of all polynomials with integer coefficients.

Faulhaber, at sådanne polynomier i N eksisterer for alle k,
Faulhaber states that such polynomials in N exist for all k,

convergents som indebar Laguerre polynomier.
the convergents of which involved the Laguerre polynomials.

var på Bernstein polynomier.
was on Bernstein polynomials.

ortogonale polynomier og Lamé funktioner.
orthogonal polynomials and Lamé functions.

Dette arbejde førte Schoenberg at opdage bemærkelsesværdige egenskaber ved polynomier hvor alle nuller er negative og reelle.
This work led Schoenberg to discover remarkable properties of polynomials all of whose zeros are negative and real.

Han opdagede den diskrete analoge af Jacobi polynomier men deres betydning blev ikke genkendt indtil dette århundrede.
He discovered the discrete analogue of the Jacobi polynomials but their importance was not recognized until this century.

Hall gav ham et forsknings-problem på ringe af polynomier men Neumann ikke gøre store fremskridt på det.
Hall gave him a research problem on rings of polynomials but Neumann did not make much progress on it.

Han giver også de tilsvarende polynomier i n. Faulhaber, at sådanne polynomier i N eksisterer for alle k,
He also gives the corresponding polynomials in n. Faulhaber states that such polynomials in N exist for all k,

Laplace havde fundet og studeret Hermite polynomier i løbet af hans opdagelser i sandsynlighedsteorien under tidlige nittende århundrede.
Laplace had found and studied the Hermite polynomials in the course of his discoveries in probability theory during the early nineteenth century.

Den vigtighed af rødder af n. grad polynomier er mindre end
The cardinality of the set of roots of n-th degree polynomials is less than