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3 the polynomials and are given.
3 polynomials ja on esitatud.

he is remembered for the gegenbauer polynomials.
ta on mäletatakse gegenbauer polynomials.

these are now called the appell polynomials.
need on nüüdsest appell polynomials.

a) prove that there are two polynomials and such that for all .
a) toesta, et on kaks polynomials ja nii et kõigile .

b) for which can we write ? ( are polynomials in ).
b) mille saame kirjutada ? ( on polynomials in ).

in the same year he published work on the evaluation of polynomials by computer.
samal aastal avaldas ta töö hindamise kohta polynomials arvutis.

(b) find all polynomials such that for all , , the function is surjective.
(b) leia kõik polynomials selline, et kõik , , funktsiooni on sürjektiivne.

determine all real numbers such that the two polynomials and have at least one root in common.
oik reaalarvud selline, et kaks polynomials ja olema vähemalt üks juur ühist.

prove, that if polynomials and have common real root, they also have a common integer root.
toesta, et kui polynomials ja on üldine tegelik juur, on neil ka ühine täisarv root.

2 if is the generating function of the sequence and if holds such that and are polynomials show that has a homogenous recurrence.
2 juhul kui on teeniva funktsiooni järjestus ja kui omab selline, et ja on polynomials näitavad, et on ühtlane kordumist.

ii) find all polynomials , such that there exist , such that for any prime , , is also prime.
ii) leia kõik polynomials selliselt, et on olemas selliselt, et iga peaminister , , samuti on peaminister.

he also gives the corresponding polynomials in n. faulhaber states that such polynomials in n exist for all k, but gave no proof.
ta annab ka vastava polynomials n. faulhaber, et selline polynomials n on olemas kõik k piirkonnas, kuid ei esitanud tõendeid.

define the sequence of polynomials by and for every . prove that there exists a number such that for every , all roots of are real.
define jada aasta polynomials poolt ja iga . tõestada, et on olemas mitmeid selline, et iga kõik juured on reaalne.

what ideas were there then in this work? the main theme underlying the book is the problem of solving equations of systems of polynomials in several variables.
mis mõtted olid seal siis see toimib? põhiteema on aluseks raamat on probleemi lahendamine võrrandite süsteemide polynomials mitmes muutujad.

this memoir of laguerre is significant not only because of the discovery of the laguerre equations and polynomials and their properties, but also because it contains one of the earliest infinite continued fractions which was known to be convergent.
see muistelmateos on laguerre on oluline mitte ainult sellepärast, avastamist laguerre võrrandid ja polynomials ja nende omadusi, vaid ka kuna see sisaldab ühte varem lõputult jätkata fraktsioonid, mis oli teadaolevalt ühesugused.

he also wrote two papers which were published in 1950, the first being on a simple property of the derivatives of legendre's polynomials while the second was functions of bounded variation.
ta kirjutas ka kaks raamatud, mis avaldati aastal 1950, esimene neist on lihtne vara derivaadid legendre's polynomials samas teine oli ülesanded piiratud variandile.

conversely, if one of the numbers 1 and -1 is a root of this polynomial, then it has an integer root and thus can be factored into two non-constant integral polynomials.
seega näeme, et kui polünoomi võib arvestada kahe riigi pidev lahutamatu polynomials, siis üks number 1 ja -1 tuleb juure kõnealuse polünoomi.

this work is the origin of the todd genus and todd polynomials which were named after him. todd polynomials, and certain other closely related polynomials, are much studied today and have played a major role in the study and classification of manifolds .
see töö on päritolu todd perekonnast ja todd polynomials mis olid tema nime. todd polynomials ning teatavad muud tihedalt seotud polynomials, on palju uuritud täna ja on mänginud olulist rolli uurida ja liigitus kollektorid.

7 bit redundancy code, polynomial: 1110 000 1 (h = 4)
7-bitine liiasuskood, polünoom: 1110 000 1 (h = 4)