Examples of using
Rigorous proof
in English and their translations into Danish
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He preferred to draw a picture instead of giving rigorous proofs.
Han foretrak at tegne et billede i stedet for at give stringent beviser.
Rigorous proof was of little importance to Ramus who preferred a"natural method.
Streng bevis var af ringe betydning for Ramus der foretrak en"naturlig metode.
This enables them to give the first rigorous proof of the classification of compact surfaces.
Dette giver dem mulighed for at give den første streng bevis for klassificering af kompakte overflader.
But the rigorous proof of the Central Limit Theorem came from the Russian mathematicians.
Men en omhyggelig dokumentation af Centerlinien Theorem kom fra russiske matematikere.
Méray followed Lagrange 's earlier work but gave rigorous proofs of what Lagrange had only conjectured.
Méray efterfulgt Lagrange's tidligere arbejde, men gav strenge beviser for, hvad Lagrange havde kun conjectured.
Of course Gauss did not state that he was improving Legendre's result butrather claimed the result for himself since his was the first completely rigorous proof.
Selvfølgelig Gauss ikke, at han var en forbedring Legendre's resultat, mensnarere hævdede resultatet for sig selv da han var den første helt stringent bevis.
So far the insight has never let him down and rigorous proofs, of the standard we mathematicians rightly expect, have always been forthcoming.
Så langt den indsigt har aldrig lade ham ned og stringent beviser på den standard, vi matematikere med rette forvente, har altid været forestående.
Then, by approximating an arbitrary simply connected region by polygons he was able to give a rigorous proof of the Riemann mapping theorem.
Så ved at tilnærme en vilkårlig simpelthen tilsluttet regionen ved polygoner han var i stand til at give et stringent bevis for Riemann kortlægning teorem.
The search for a rigorous proof had not been a waste of time, however, since many important algebraic ideas were discovered by Clebsch, Gordan, Brill and Max Noether while they tried to prove Riemann's results.
Søgningen efter en stringent bevis ikke havde været spild af tid, da mange vigtige algebraisk tanker blev opdaget af Clebsch, Gordan, slethvar og Max Noether mens de forsøgte at bevise, Riemann's resultater.
It is difficult to recall another example in the history of nineteenth-century mathematics when a struggle for a rigorous proof led to such productive results.
Det er svært at huske et andet eksempel i historien om nittende århundrede matematik, når en kamp for en stringent bevis ført til sådanne produktive resultater.
Then, by approximating an arbitrary simply connected region by polygons he was able to give a rigorous proof of the Riemann mapping theorem. Schwarz also gave the alternating method for solving the Dirichlet problem which soon became a standard technique.
Så ved at tilnærme en vilkårlig simpelthen tilsluttet regionen ved polygoner han var i stand til at give et stringent bevis for Riemann kortlægning teorem. Schwarz gav også de skiftevis metode for at løse Dirichlet problem, som hurtigt blev en standard teknik.
An idea of Koopman on the possibilities of treating problems of classical mechanics by means of operators on a function space stimulated him to give the first mathematically rigorous proof of an ergodic theorem.
En idé om, Koopman om mulighederne for at behandle problemer af klassisk mekanik ved hjælp af operatørerne på en funktion rummet stimuleret ham til at give den første matematisk stringent bevis for en ergodic teorem.
In the following year she published On some boundary value problems in the theory of the non-uniform supersonic motion of an aerofoil in which she gives rigorous proofs of methods to find the velocity potential due to a two-dimensional airfoil in a supersonic stream whose shape and motion are given.
I de følgende år hun offentliggøres på nogle grænse værdi problemer i teorien om den ikke-ensartet supersoniske forslag om en aerofoil, hvor hun giver strenge beviser for metoder til at finde den hastighed potentiale på grund af en to-dimensional airfoil i en supersoniske stream hvis formen og bevægelse er givet.
Lie's lectures on his own research were highly rated by the students, in contrast to his somewhat unpopular obligatory lectures on standard topics.he preferred to draw a picture instead of giving rigorous proofs.
Lie's foredrag om hans egen forskning var meget bedømt af de studerende, i modsætning til hans noget upopulære obligatoriske forelæsninger om standardvilkår emner.han foretrak at tegne et billede i stedet for at give stringent beviser.
His poorest subject at school had been the study of Euclid,a topic in which the emphasis was on rigorous proof, an idea strongly disliked by Heaviside who later wrote.
Hans fattigste emne i skolen var blevet studiet af Euclid, et emne,hvor fokus var på stringent bevis, en idé kraftigt disliked ved Heaviside der senere skrev.
He had a much heavier teaching load, however: Lie's lectures on his own research were highly rated by the students, in contrast to his somewhat unpopular obligatory lectures on standard topics.he preferred to draw a picture instead of giving rigorous proofs.
Han havde en langt tungere undervisning belastning dog: Lie's foredrag om hans egen forskning var meget bedømt af de studerende, i modsætning til hans noget upopulære obligatoriske forelæsninger om standardvilkår emner.han foretrak at tegne et billede i stedet for at give stringent beviser.
His poorest subject at school had been the study of Euclid,a topic in which the emphasis was on rigorous proof, an idea strongly disliked by Heaviside who later wrote: It is shocking that young people should be addling their brains over mere logical subtleties, trying to understand the proof of one obvious fact in terms of something equally… obvious.
Hans fattigste emne i skolen var blevet studiet af Euclid, et emne,hvor fokus var på stringent bevis, en idé kraftigt disliked ved Heaviside der senere skrev: Det er chokerende, at de unge bør addling deres hjerner over blotte logiske finesser, forsøger at forstå beviset for en indlysende kendsgerning i form af noget lige… indlysende.
The Poincaré-Bendixson theorem, which says an integral curve which does not end in a singular point has a limit cycle,was first proved by Poincaré but a more rigorous proof with weaker hypotheses was given by Bendixson in 1901.
De Poincarés-Bendixson sætning, der siger en integrerende kurve, som ikke ender i en ental punkt er en grænse cyklus,blev første gang vist ved Poincarés men en mere stringent bevis med svagere hypoteser blev givet ved Bendixson i 1901.
An idea of Koopman on the possibilities of treating problems of classical mechanics by means of operators on a function space stimulated him to give the first mathematically rigorous proof of an ergodic theorem. Haar 's construction of measure in groups provided the inspiration for his wonderful partial solution of Hilbert 's fifth problem, in which he proved the possibility of introducing analytical parameters in compact groups.
En idé om, Koopman om mulighederne for at behandle problemer af klassisk mekanik ved hjælp af operatørerne på en funktion rummet stimuleret ham til at give den første matematisk stringent bevis for en ergodic teorem. Haar's opførelse af foranstaltningen i grupper givet inspiration til hans vidunderlige delvise opløsning af Hilbert's femte problem, hvor han viste sig muligheden for at indføre analytiske parametre i kompakte grupper.
His work not being influenced by Weierstrass(whose work was unpublished) or Dedekind who only published his theories after Cantor 's important paper appeared in 1872.Méray followed Lagrange 's earlier work but gave rigorous proofs of what Lagrange had only conjectured.
Hans arbejde ikke bliver påvirket af Weierstrass(hvis arbejdet blev ikke offentliggjort) eller Dedekind der kun offentliggjort hans teorier efter Cantor's vigtige papir udkom i 1872.Méray efterfulgt Lagrange's tidligere arbejde, men gav strenge beviser for, hvad Lagrange havde kun conjectured.
In 1901 Hilbert mended Riemann's approach by giving the correct form of Dirichlet 's Principle needed to make Riemann's proofs rigorous.
I 1901 Hilbert anbefales Riemann's tilgang ved at give den korrekte form af Dirichlet's Princip nødvendige for at gøre Riemann's beviser stringent.
In later life Leibniz recalled that at this time he was trying to find orderings on logical truths which, although he did not know it at the time,were the ideas behind rigorous mathematical proofs.
Senere i livet Leibniz erindres, at på dette tidspunkt var han forsøger at finde orderings om logiske sandheder, som, skønt han ikke vidste på det tidspunkt,var de tanker bag stringent matematiske beviser.
Of course physical insight does not always lead to immediately rigorous mathematical proofs but it frequently leads one in the right direction, and technically correct proofs can then hopefully be found.
Selvfølgelig fysisk indsigt fører ikke altid til straks stringent matematiske beviser, men det fører ofte en i den rigtige retning, og teknisk korrekt beviser kan så forhåbentlig blive fundet.
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How to use "rigorous proof" in an English sentence
This was the first successful mathematically rigorous proof of a Turnpike Theorem.
gives a rigorous proof of perturbative existence of QED at all orders.
Emphasis will be placed on rigorous proof and intuition rather than computation.
And he has this rigorous proof that romantic love will always end badly.
Nugget: The impulse toward rigorous proof comes about when your intuition fails you.
A rigorous proof of this property is the central part of this paper.
Rigorous proof is given by using Lyapunov stability theory and finite-time stability theory.
Then we flipped to some more rigorous proof (but which is less tangible).
The precise timing, dosage, indications, and scientifically rigorous proof that any sensory problems.
Chapter 2 discusses the rigorous proof of chaos in the Four-Element Chua's circuit.
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