What is the translation of " P-ADIC " in Danish?

• p-adic

Examples of using P-adic in English and their translations into Danish

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

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

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

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.
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.

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

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

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

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.
Det var først i 1921, at det fulde potentiale af p-adic numre blev demonstreret ved Hasse når han formulerede det lokale-globale princip.

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

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.
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.

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

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.
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.

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.
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.

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.
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.

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.
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.

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.
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.

In 1897 the Weierstrass method of power-series development for algebraic functions led him to the invention of the p-adic numbers. Hensel was interested in the exact power of a prime which divides the discriminant of an algebraic number field. The p-adic numbers can be regarded as a completion of the rational numbers in a different way from the usual completion which leads to the real numbers. Ullrich writes in.
I 1897 til Weierstrass metode til magt-serien udvikling for algebraiske funktioner førte ham til opfindelsen af p-adic numre. Hensel var interesseret i den præcise effekt af en prime, der splitter den discriminant af en algebraisk antallet område. P-adic numre kan betragtes som en afslutning af den rationelle numre på en anden måde fra den sædvanlige afslutning, der fører til de reelle tal. Ullrich skriver i.

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 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.

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.
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.

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.
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.