Hvad er oversættelsen af " P-ADIC " på engelsk?

• p-adic

Eksempler på brug af P-adic på Dansk og deres oversættelser til Engelsk

Fraenkel's første arbejde var på Hensel's p-adic numre og den teori om ringene.
Fraenkel's first work was on Hensel 's p-adic numbers and on the theory of rings.

På Göttingen Witt tiltrådte Helmut Hasse's seminar om kongruens funktion felter og p-adic numre.
At Göttingen Witt joined Helmut Hasse 's seminar on congruence function fields and p-adic numbers.

Hensel's arbejde om p-adic numre var at have en stor indflydelse på retningen af Hasse's forskning.
Hensel 's work on p-adic numbers was to have a major influence on the direction of Hasse's research.

Det var i denne bog, som han udviklede sin store idé om p-adic numre i en systematisk teori.
It was in this book that he developed his great idea of p-adic numbers into a systematic theory.

Fraenkel's første arbejde var på Hensel's p-adic numre og den teori om ringene. Men han er bedst kendt for hans arbejde med mængdelære, skrive hans første store arbejde om emnet Einleitung in die Mengenlehre i 1919.
Fraenkel's first work was on Hensel 's p-adic numbers and on the theory of rings. However he is best known for his work on set theory, writing his first major work on the topic Einleitung in die Mengenlehre in 1919.

Hans ph.d. -afhandling var et fremragende stykke arbejde på p-adic analoger af Baker's metode.
His doctoral dissertation was an outstanding piece of work on p-adic analogues of Baker 's method.

Andre vigtige temaer i hans arbejde var p-adic numre, p-adic Diophantine tilnærmelse, geometri af numre(et begreb, opfandt ved Minkowski at beskrive matematik af pakninger og belægninger) og måle på polynomier.
Other major themes of his work were p-adic numbers, p-adic Diophantine approximation, geometry of numbers(a term coined by Minkowski to describe the mathematics of packings and coverings) and measure on polynomials.

Retningen af hans matematik var også meget påvirket af Heinrich Weber og ved Hensel's resultater på p-adic numre i 1899.
The direction of his mathematics was also much influenced by Heinrich Weber and by Hensel 's results on p-adic numbers in 1899.

I disse to bøger han viste magt for at anvende p-adic metoder til at han teorien om at opdele i algebraisk række felter.
In these two books he showed the power of applying p-adic methods to he theory of divisibility in algebraic number fields.

Et andet foredrag naturligvis, denne gang givet i Indien, blev offentliggjort som Foredrag om visse aspekter af p-adic analyse i 1963.
Another lecture course, this time given in India, was published as Lectures on some aspects of p-adic analysis in 1963.

Det var først i 1921, at det fulde potentiale af p-adic numre blev demonstreret ved Hasse når han formulerede det lokale-globale princip.
It was not until 1921 that the full potential of the p-adic numbers was demonstrated by Hasse when he formulated the local-global principle.

I 1897 til Weierstrass metode til magt-serien udvikling for algebraiske funktioner førte ham til opfindelsen af p-adic numre.
In 1897 the Weierstrass method of power-series development for algebraic functions led him to the invention of the p-adic numbers.

I 1980'erne Coates's arbejde var bekymret med elliptisk kurver, Iwasawa teori og p-adic L-funktioner, alt arbejde tæt knyttet til den retning, ville i sidste ende giver det bevis for Fermat's Last Theorem.
During the 1980s Coates's work was concerned with elliptic curves, Iwasawa theory and p-adic L-functions, all work closely related to the direction that would eventually yield the proof of Fermat's Last Theorem.

Han viste, i det mindste for kvadratisk form, at en ligning har en fornuftig løsning, hvis og kun hvis den har en løsning på p-adic numre for hver prime p og en løsning i reals.
He showed, at least for quadratic forms, that an equation has a rational solution if and only if it has a solution in the p-adic numbers for each prime p and a solution in the reals.

På Göttingen Witt tiltrådte Helmut Hasse's seminar om kongruens funktion felter og p-adic numre. Oswald Teichmüller og Ludwig Schmid ligeledes var medlemmer af seminaret, og Schmid samarbejdet med Witt om idéer, som vil føre til Witt vektor calculus.
At Göttingen Witt joined Helmut Hasse 's seminar on congruence function fields and p-adic numbers. Oswald Teichmüller and Ludwig Schmid were also members of the seminar, and Schmid collaborated with Witt on ideas which would lead to the Witt vector calculus.

Han arbejdede på Iwasawa's teori og skrev en række artikler med Andrew Wiles offentliggjort omkring 1977-78 herunder Kummer's kriterium for Hurwitz nummer, Explicit gensidighed love og På p-adic L-funktioner og elliptisk enheder.
He worked on Iwasawa 's theory and wrote a number of articles with Andrew Wiles published around 1977-78 including Kummer's criterion for Hurwitz number, Explicit reciprocity laws and On p-adic L-functions and elliptic units.

Ikke alene er det udtryk p-adic heltal skyldes Hensel, men også i Zahlentheorie han anvender betegnelsen"Fermat's Little Theorem" for første gang: Der er en grundlæggende sætning bedrift i hvert afgrænset gruppe, der normalt kaldes Fermat's Little Teorem fordi Fermat var den første, der har vist en meget speciel del af det.
Not only is the term p-adic integer due to Hensel but also in Zahlentheorie he uses the description"Fermat's Little Theorem" for the first time: There is a fundamental theorem holding in every finite group, usually called Fermat's Little Theorem because Fermat was the first to have proved a very special part of it.

I oktober 1920 Hasse opdaget'lokale-global"-princippet, hvilket viser, at en kvadratisk form, der repræsenterer 0 Ikke-trivially over p-adic numre for hver prime p, og i løbet af de reelle tal udgør 0 Ikke-trivially over rationals.
In October 1920 Hasse discovered the'local-global' principle which shows that a quadratic form that represents 0 non-trivially over the p-adic numbers for each prime p, and over the real numbers, represents 0 non-trivially over the rationals.

Udtrykkelig bestemmelse af Plancherel foranstaltning for semisimple grupper, bestemmelse af diskrete række repræsentationer, hans resultater på Eisenstein serien og i teorien om Automorfe former, hans"filosofi cusp formularer", som han kaldte det, som et ledende princip at have en fælles opfattelse af visse fænomener i repræsentationen teori om reduktiv grupper i en temmelig bred forstand, herunder ikke kun de reelle Lie grupper, men p-adic grupper eller grupper i løbet af Adele ringe.
The explicit determination of the Plancherel measure for semisimple groups, the determination of the discrete series representations, his results on Eisenstein series and in the theory of automorphic forms, his"philosophy of cusp forms", as he called it, as a guiding principle to have a common view of certain phenomena in the representation theory of reductive groups in a rather broad sense, including not only the real Lie groups, but p-adic groups or groups over adele rings.

Det kan være meningen, at Hasse ville have fulgt Hecke til Hamburg, men han gjorde ikke tage denne rute, vil studere under Hensel i Marburg i 1920. Hensel's arbejde om p-adic numre var at have en stor indflydelse på retningen af Hasse's forskning.
It might be supposed that Hasse would have followed Hecke to Hamburg but he did not take this route, going to study under Hensel at Marburg in 1920. Hensel 's work on p-adic numbers was to have a major influence on the direction of Hasse's research.

Det var ikke den eneste bog, som blev offentliggjort i 1983 for Central-udvidelser, Galois grupper, og ideelle klasse grupper af antal felter syntes i samme år som gjorde Gauss beløb og p-adic division algebraer med Classgroups og Hermitian moduler blive offentliggjort på følgende år.
This wasn't the only book which published in 1983 for Central extensions, Galois groups, and ideal class groups of number fields appeared in the same year as did Gauss sums and p-adic division algebras with Classgroups and Hermitian modules being published in the following year.