Hvad er oversættelsen af " INFINITESIMALS " på dansk?

• infinitesimals

Eksempler på brug af Infinitesimals på Engelsk og deres oversættelser til Dansk

The Application of Infinitesimals to Integrations.
Anvendelsen af Infinitesimals til integrationer.

Newton's analysis involved taking ratios of infinitesimals.
Newton's analyse indebar udvekslinger af infinitesimals.

The Application of Infinitesimals to Integrations See Three Approaches to Integration.
Anvendelsen af Infinitesimals til integrationer Se tre veje til integration.

He describes a series of paradoxes concerning infinity and infinitesimals.
Han beskriver en serie af paradokser vedrørende uendelighed og infinitesimaler.

The Nature of Infinitesimals Considered the defining conditions for an infinitesimal ε as being ε≠0 and ε2=0.
Arten af Infinitesimals Betragtes som en definition af betingelserne for en forsvindende lille ε som ε≠0 og ε2-=0.

Keisler found it convenient to give an equivalent definition(for positive infinitesimals) as.
Keisler fundet det belejligt at give en tilsvarende definition for positive infinitesimals.

In effect he was saying that the although infinitesimals are not zero the product of infinitesimals is zero.
I realiteten var han siger, at selvom infinitesimals er ikke nul produktet af infinitesimals er nul.

But the crucial property of infinitudes is that they are multiplicative inverses of infinitesimals.
Men den afgørende egenskab af infinitudes er, at de er multiplikativ inverses af infinitesimals.

From this definition it follows that if ε and δ are infinitesimals then ε+δ is also an infinitesimal, possibly zero.
Ud fra denne definition heraf følger, at hvis ε og δ er infinitesimals derefter ε+ δ er også et forsvindende lille, eventuelt nul.

In fact some authors claim that Zeno directed his paradoxes against those who were introducing infinitesimals.
Rent faktisk nogle forfattere hævder, at Zeno rettet hans paradokser mod dem, der var indføre infinitesimals.

He also returned to infinitesimals of the sort condidered by Newton and attempted to make this approach rigorous.
Han har også vendt tilbage til infinitesimals af den slags condidered ved Newton og har forsøgt at gøre denne fremgangsmåde stringent.

Because the infinitudes are also elements of*R there is a halo of infinitesimals about each infinitude.
Fordi infinitudes er også elementer af* R er en ring af infinitesimals ca. hver infinitude.

He wrote on infinite sets and infinitesimals and argued for the consistency of introducing infinitesimals into the number system.
Han skrev om uendelig-apparater og infinitesimals og argumenteret for konsekvensen af at indføre infinitesimals i antallet system.

The purpose of this material is to explain, illustrate and justify the non-standard analysis formulation of infinitesimals.
Formålet med dette materiale er at forklare, beskrive og begrunde den manglende standard analyse udarbejdelse af infinitesimals.

His method involves the use of infinitesimals but since Ampère had not studied the calculus the paper was not found worthy of publication.
Hans metode indebærer brug af infinitesimals men siden Ampère ikke havde studeret calculus papiret blev ikke fundet værdig til offentliggørelse.

A good discussion of how Archimedes may have been led to some of these results using infinitesimals is given in.
En god diskussion af, hvordan Arkimedes kan være blevet ført til nogle af disse resultater ved hjælp af infinitesimals er givet i.

In keeping with the conceptualization of infinitesimals, an infinitude would be a numerical entity so large that while it is not infinite its square is.
I tråd med conceptualization af infinitesimals, en infinitude ville være et numerisk enhed så stort, at det ikke er uendelig sin plads.

Also in 1786 he again worked on his ideas for the differential and integral calculus, giving a new treatment of infinitesimals.
Også i 1786 han igen arbejdede på hans ideer til det differentierede og integrerende calculus, hvilket giver en ny behandling af infinitesimals.

However he had already developed a theory of infinitesimals in Uber die Paradoxen des Infinitär-Calcüls("On the paradoxes of the infinitary calculus") in 1877.
Men han havde allerede udviklet en teori om infinitesimals i Rig die Paradoxen des Infinitär-Calcüls("På paradokser af infinitary calculus") i 1877.

These same results are of course also easy to prove using the Weierstrass ε-δ procedure but it is notable easier using the concept of infinitesimals.
Disse resultater er naturligvis også nem at bevise ved hjælp af Weierstrass ε-δ procedure, men det er markant nemmere ved hjælp af begrebet infinitesimals.

This book, which appeared just 250 years after Leibniz 's death, presents a rigorous and efficient theory of infinitesimals obeying, as Leibniz wanted, the same laws as the ordinary numbers.
Denne bog, som syntes bare 250 år efter Leibniz's død, præsenterer en streng og effektiv teori om infinitesimals følger, som Leibniz ønskede, de samme love som de ordinære numre.

Nonstandard analysis provides a way to extend the real number field to a field, called the hyperreals in which entities exist that have the essential properties of infinitesimals.
Atypisk analyse giver mulighed for at udvide det reelle antal felt til et felt, der kaldes hyperreals i hvilke enheder der har væsentlige egenskaber af infinitesimals.

Note that in Keisler's formulation it is not clear that there would be any way to establish that the product of any two infinitesimals is zero, the condition which was thought to makes the concept useful.
Bemærk, at i Keisler's formulering er det ikke klart, om der vil være nogen måde at fastslå, at produktet af to infinitesimals er nul, den tilstand, som troede at gør begrebet nyttigt.

Realising that Zeno's arguments were fatal to infinitesimals, saw that they could only avoid the difficulties connected with them by once and for all banishing the idea of the infinite, even the potentially infinite, altogether from their science;
At opdage, at Zenons argumenter blev fatal for infinitesimals, så at de kun kunne undgå problemer forbundet med dem ved en gang for alle banishing tanken om det uendelige, selv de potentielt uendelig, helt fra deres videnskab;

Also in 1786 he again worked on his ideas for the differential and integral calculus, giving a new treatment of infinitesimals. However his treatise was never printed.
Også i 1786 han igen arbejdede på hans ideer til det differentierede og integrerende calculus, hvilket giver en ny behandling af infinitesimals. Men hans afhandling aldrig blev trykt.

Since positive infinitesimals are considered to be nonzero entities less than any positive real number the appropriate quantity for an multiplicative inverse would be an entity which is greater than any real number but not equal to infinity, a sort of infinitude.
Da positive infinitesimals anses for at være af varerne i indkøbsvognen mangler angivelse af enheder mindre end nogen positive reelle tal den passende mængde for en multiplikativ invers ville være en enhed, der er større end de reelle antal, men ikke uendelig, en slags infinitude.

And then in 1960 Abraham Robinson found a way to provide a rigorous foundations for infinitesimals and thus infinitesimals were acceptable, although not exactly welcome, again in mathematical discourse.
Og derefter i 1960 Abraham Robinson fandt en måde at give en streng grundlaget for infinitesimals og dermed infinitesimals var acceptabelt, men ikke ligefrem velkommen igen i matematisk diskurs.

Because*R is closed under addition and contained an image of R, there is a similar halo about each real number. Because the infinitudes are also elements of*R there is a halo of infinitesimals about each infinitude.
Fordi* R er lukket under addition og indeholdt et billede af R, der er en lignende halo omkring hver reelle tal. Fordi infinitudes er også elementer af* R er en ring af infinitesimals ca. hver infinitude.

Mathematicians, however,… realising that Zeno's arguments were fatal to infinitesimals, saw that they could only avoid the difficulties connected with them by once and for all banishing the idea of the infinite, even the potentially infinite, altogether from their science; thenceforth, therefore, they made no use of magnitudes increasing or decreasing ad infinitum, but contented themselves with finite magnitudes that can be made as great or as small as we please.
Matematikere, dog… at opdage, at Zenons argumenter blev fatal for infinitesimals, så at de kun kunne undgå problemer forbundet med dem ved en gang for alle banishing tanken om det uendelige, selv de potentielt uendelig, helt fra deres videnskab; derefter derfor, de gjorde ikke brug af størrelsesorden stigende eller faldende i en uendelighed, men tilfreds selv med begrænsede størrelse, der kan gøres lige så stor eller så lille som vi ønsker.

This would be the basis for defining an equivalence relation on real-valued sequences, RN. The construction used in nonstandard analysis for creating infinitesimal makes use of a different equivalence relation, but it serves the purpose of explaining the nature of infinitesimals to make use of the above relationship.
Dette ville være grundlag for at definere en ækvivalens relation på real-værdsat sekvenser, R. N-anlæg anvendes i atypisk analyse for at skabe forsvindende lille gør brug af forskellige ækvivalens relation, men det tjener det formål at forklare arten af infinitesimals at gøre brug af ovennævnte forhold.

Hvordan man bruger "infinitesimals" i en Engelsk sætning

What importance, if any, do infinitesimals still have for philosophers?

The innumerable living entities are infinitesimals and Godhead is Infinite.

But this approximation of infinitesimals is incorrect in quantized reality.

A short introduction with infinitesimals 2009 Of The Scar-Faced Beggar.

Mackenzie?s cymbalta online army which infinitesimals of naldera road.were twenty.

Who created the infinitesimals which, for example, differential calculus explores?

These randomly acting infinitesimals are seen by consensus as patterns.

For the first time, infinitesimals looks nice for the aim.

Infinitesimals allowed the art to analyze motion and the continuum.

Newton and Leibniz used infinitesimals in their construction of calculus.

Hvordan man bruger "infinitesimals" i en Dansk sætning

Lango, John W.: "Whitehead's Actual Occasions And the New Infinitesimals", i: Transactions of the Charles S.

Af: Bjarne Lillethorup og Jacob Mørch Pedersen. "RISE, FALL AND RESURRECTION OF INFINITESIMALS".

Calculus has historically been called the calculus of infinitesimals, or infinitesimal calculus gratis kursus - Numerologern Styring: Meaning of Styring .