POLYNOMIALS in English translation

kung humahawak tulad na at ay polynomials ipakita na ay may homogenous-ulit.

if holds such that and are polynomials show that has a homogenous recurrence.

Patunayan, na kung polynomials at may karaniwang mga tunay

Prove, that if polynomials and have common real root,

Ang Todd polynomials ay unang-aral sa algebraic geometry

The Todd polynomials were first studied in algebraic geometry

kasangkot ang Laguerre polynomials.

the convergents of which involved the Laguerre polynomials.

Hall ibinigay sa kanya ng isang pananaliksik problema sa rings ng polynomials ngunit Neumann ay hindi gumawa ng maraming progreso sa mga ito.

Hall gave him a research problem on rings of polynomials but Neumann did not make much progress on it.

Professor Leonard Carlitz ibinigay ng isang colloquium sa aming departamento tungkol sa permutasyon polynomials sa wakas na larangan.

Professor Leonard Carlitz gave a colloquium in our department concerning permutation polynomials over finite fields.

Dalawang polynomials at sa tunay na coefficients ay tinatawag na katulad na kung may umiiral nonzero tunay na numero ng isang tulad na para sa lahat ng.

Two polynomials and with real coefficients are called similar if there exist nonzero real number a such that for all.

Sa panahon ng akademikong taon 1973-74, Professor Leonard Carlitz ibinigay ng isang colloquium sa aming departamento tungkol sa permutasyon polynomials sa wakas na larangan.

During the 1973-74 academic year, Professor Leonard Carlitz gave a colloquium in our department concerning permutation polynomials over finite fields… I vividly recall the tremendous enthusiasm that Professor Carlitz showed for various topics in finite field theory.

remembered para sa espesyal na pag-andar ng Laguerre polynomials na kung saan ang mga solusyon ng Laguerre kaugalian equation.

is best remembered for the special functions the Laguerre polynomials which are solutions of the Laguerre differential equations.

Ipakita na may wala polynomials at bawat isa sa pagkakaroon ng integer coefficients

Show that there do not exist polynomials and each having integer coefficients

Garrett ay mabilis na magrekomenda ng paggamit ng kubiko splines( ibig sabihin piecewise kubiko polynomials na may dalawang patuloy

Garrett was quick to recommend the use of cubic splines(i.e. piecewise cubic polynomials with two continuous derivatives)

Schur sa approximating function sa pamamagitan ng polynomials na may lamang mga tunay na mga zero.

Schur on approximating functions by polynomials with only real zeros.

Ito na humantong sa kanya upang magtrabaho sa koneksyon bewteen Sylvester 's formula sa polynomials na nagmula sa mga aplikasyon ng Sturm's teorama at ang teorya ng patuloy na fractions.

This led him to work on the connection between Sylvester 's formulas on the polynomials arising in the application of Sturm's theorem and the theory of continued fractions.

Isang partikular na mahalagang mga resulta proved by Stone panahon na ito ay isang malaking generalisation ng Weierstrass' s teorama sa unipormeng approximation ng patuloy na pag-andar ng polynomials.

One particularly important result proved by Stone during this period was a substantial generalisation of Weierstrass 's theorem on uniform approximation of continuous functions by polynomials.

Pagkatapos ay ay hindi mababago sa singsing ng polynomials integer.

then is also irreducible in the ring of integer polynomials.

ang unang na Sa isang simpleng pag-aari ng derivatives ng Legendre's polynomials habang ang pangalawa ay pag-andar ng bounded ng pagkakaiba-iba.

the first being On a simple property of the derivatives of Legendre's polynomials while the second was Functions of bounded variation.

sa mga sumusunod na taon Sa polynomials na ang derivatives ay may kabuuan na halaga sa integers.

in the following year On the polynomials whose derivatives have integral values at the integers.

Todd polynomials, at iba pang tiyak na may malapit

Todd polynomials, and certain other closely related polynomials,

Sa papel na ito siya nagpasimula ng isang bagong sistema ng orthogonal polynomials na ngayon na kilala bilang ang Krawtchouk polynomials,

In this paper he introduced a new system of orthogonal polynomials now known as the Krawtchouk polynomials,

Ito ay sa trabaho na ito na ang kanyang tanyag na Chebyshev polynomials lumitaw para sa ang unang panahon ngunit siya mamaya nagpunta sa upang bumuo ng isang pangkalahatang teorya ng orthogonal polynomials..

It was in this work that his famous Chebyshev polynomials appeared for the first time but he later went on to develop a general theory of orthogonal polynomials..

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