Meaning of "Approximation" in the German dictionary

ETYMOLOGY OF THE WORD APPROXIMATION

mittellateinisch approximatio, zu lateinisch approximare = sich nähern.

Etymology is the study of the origin of words and their changes in structure and significance.

PRONUNCIATION OF APPROXIMATION IN GERMAN

Approximation  [Approximatio̲n]

GRAMMATICAL CATEGORY OF APPROXIMATION

Approximation is a noun.

A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES APPROXIMATION MEAN IN GERMAN?

approximation

Approximation

Approximation is initially a synonym for approximation; The term is, however, further defined in mathematics. There are two main reasons in mathematics to investigate approximations: once the object of interest could be given implicitly, that is, as the solution of an equation. If the equation is difficult to solve, it is easy to find an approximation of the solution. On the other hand, an explicitly given mathematical object can be difficult to handle. Then an approximation of simple structures is desirable. Both scenarios are particularly common in numerical mathematics, and the approximation theory is an elementary subarea or an aid to this discipline, since it can accelerate or make possible computer-assisted solving procedures.

Approximation ist zunächst ein Synonym für Näherung; der Begriff wird in der Mathematik allerdings noch präzisiert. Es gibt vor allem zwei Gründe in der Mathematik, Näherungen zu untersuchen: Einmal könnte das Objekt des Interesses nur implizit, also als Lösung einer Gleichung gegeben sein. Ist die Gleichung schwer zu lösen, will man auf einfacherem Wege eine Näherung der Lösung finden. Auf der anderen Seite kann ein explizit gegebenes mathematisches Objekt nur schwer handhabbar sein. Dann ist eine Approximation aus einfachen Gebilden wünschenswert. Beide Szenarien treten besonders häufig in der numerischen Mathematik auf, und so ist die Approximationstheorie ein elementares Teilgebiet beziehungsweise Hilfsmittel dieser Disziplin, da sie computergestützte Lösungsverfahren beschleunigen oder erst möglich machen kann.

Definition of Approximation in the German dictionary

Approximation approximation, approximation.

Annäherung Näherung, Näherungswert.

TRANSLATION OF APPROXIMATION

Find out the translation of Approximation to 25 languages with our German multilingual translator.

The translations of Approximation from German to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Approximation» in German.

• Translator German - Chinese: 近似
• Translator German - Spanish: aproximación
• Translator German - English: approximation
• Translator German - Hindi: सन्निकटन
• Translator German - Arabic: تقريب
• Translator German - Russian: приближение
• Translator German - Portuguese: aproximação
• Translator German - Bengali: পড়তা
• Translator German - French: approximation
• Translator German - Malay: penghampiran
• German: Approximation
• Translator German - Japanese: 近似値
• Translator German - Korean: 근사
• Translator German - Javanese: panyerakan
• Translator German - Vietnamese: xấp xỉ
• Translator German - Tamil: தோராய
• Translator German - Marathi: अंदाज
• Translator German - Turkish: tahmin
• Translator German - Italian: approssimazione
• Translator German - Polish: przybliżenie
• Translator German - Ukrainian: наближення
• Translator German - Romanian: aproximație
• Translator German - Greek: προσέγγιση
• Translator German - Afrikaans: benadering
• Translator German - Swedish: tillnärmning
• Translator German - Norwegian: tilnærming

10 GERMAN BOOKS RELATING TO «APPROXIMATION»

Discover the use of Approximation in the following bibliographical selection. Books relating to Approximation and brief extracts from same to provide context of its use in German literature.

Optimierung und Approximation

A comprehensive and rigorous introduction to optimization and approximation, including many exercises and examples.

Peter Kosmol, 2010

Über Alternationskriterien in der Geschichte der Besten ...

Diplomarbeit aus dem Jahr 1994 im Fachbereich Mathematik - Analysis, Note: 1,3, Johann Wolfgang Goethe-Universitat Frankfurt am Main (Fachbereich Mathematik), Sprache: Deutsch, Anmerkungen: Die Arbeit beschreibt einen der wichtigsten Satze ...

Karl-Georg Steffens, 2011

Angewandte Funktionalanalysis: Motivationen und Methoden für ...

2 Approximation 2.1 Approximationsprobleme, Projektionen und Optimale Steuerung Optimierungsprobleme auf Funktionenräumen können sehr verschiedene Gestalt haben: Eine Vielzahl praxisrelevanter Probleme lässt sich mathematisch ...

Alfred Göpfert, Thomas Riedrich, Christiane Tammer, 2009

Langenscheidt Routledge German dictionary of physics:

Approximation. -/kippscher (physCh) Kipp's apparatus [generator], Kipp gas generator --/pohlscher (Mech) Pohl apparatus -/polanyischer (Krist, Mech) Polanyi (tensile test) machine -/tredgoldscher (Mech) Tredgold's apparatus, flexural ...

Ralf Sube, 2001

Numerische Mathematik

Interpolation. und. Approximation. Dieses Kapitel soll die wichtigsten Möglichkeiten beschreiben, mit denen eine reellwertige Funktion f(x) der reellen Variablen x oder eine vorliegende Datentabelle (x,, 2/,) durch eine einfache Funktion ...

Hans Rudolf Schwarz, Norbert Köckler, Norbert Köckler, 2009

Numerische Verfahren der konvexen, nichtglatten Optimierung: ...

5. Approximative. Ableitungen. Im Hinblick auf die Konstruktion eines approximativen Abstiegsverfahrens untersuchen wir jetzt eine äußere Approximation des Subdifferentials und approximative Richtungsableitungen .

Walter Alt, 2004

Statistik verstehen mit Excel: Interaktiv lernen und ...

Interaktiv lernen und anwenden - Buch mit Excel-Downloads Karlheinz Zwerenz. 22. Approximationen und Grenzwertsätze 22.1 Grundlagen Approximation zwischen diskreten Verteilungen Approximation der hypergeometrischen Verteilung ...

Karlheinz Zwerenz, 2008

Astronomische Nachrichten

[MM], [BM] , [CM] [MB] ,[BB] , [CB] [MC] ,[BC], [CC] ac~bt = «m* {2 D^SX:*- 2D K):2{ Ar,Bs,Ct,M^ *) Voir Mansion, Théorie élémentaire des Déterminants, ou notre Théorie des erreurs d'observation No. 89. An approximation to the value of s ...

Functional Analysis and Approximation: Proceedings of the ...

APPROXIMATION UNO TRANSFORMATIONSMETHODEN III Walter Schempp Lehrstuhl fiir Mathematik I Universitat Siegen Siegen The present paper is concerned with the inter-relation of the theory of uni- variate spline functions and the ...

Paul Leo Butzer, Béla Szőkefalvi-Nagy, Ernst Görlich, 1981

MATLAB - Simulink - Stateflow: Grundlagen, Toolboxen, Beispiele

Zudem können Daten mit einer mathematischen Funktion approximiert werden. 6.1.1 Interpolation und Approximation Durch Interpolation lassen sich Zwischenwerte zu vorhandenen Daten erzeugen. Für eindimensionale Interpolation steht in ...

‎2011

10 NEWS ITEMS WHICH INCLUDE THE TERM «APPROXIMATION»

Find out what the national and international press are talking about and how the term Approximation is used in the context of the following news items.

This comedian's approximation of Johnny Carson's Tonight Show is ...

Or—more accurately—he plays a lurching, leering, semi-coherent approximation of Carson. This is a ghoulish, gargoyle-like parody of The Tonight Show in ... «A.V. Club, May 16»

A New Number Format for Computers Could Nuke Approximation ...

Even to the more mathematically challenged among us, it's a reasonably easy task to parse a number with a decimal point. I can give you, say, 33.333 and it ... «Motherboard, Apr 16»

Habitability of Planets on Eccentric Orbits: Limits of the Mean Flux ...

In order to assess the habitability of an eccentric planet, the mean flux approximation is often used. It states that a planet on an eccentric orbit is called habitable ... «Astrobiology News, Apr 16»

Some 500 people protest at Czech-China approximation in Prague

Prague, March 29 (CTK) - About 500 people protested against the approximation between the Czech Republic and China at the Kampa island in the centre of ... «Prague Daily Monitor, Mar 16»

Players Find the Closest Approximation to Wavedashing in Smash ...

Melee players have been complaining about Smash 4's limited movement options for years, but now a whole new slew of techniques called “bidou” have been ... «Kotaku, Mar 16»

NASA releases video approximation of exploding star

(NEWSCHANNEL 3) - NASA has released never-before-seen video of an exploding star, billions of light years away. What they actually caught on camera was a ... «WWMT-TV, Mar 16»

The Long Search for the Value of Pi

Between 3,000 and 4,000 years ago, people used trial-and-error approximations of pi, without doing any math or considering potential errors. The earliest ... «Scientific American, Mar 16»

Wordplay | Reasonable-Seeming but WRONG Approximations of π

This week's challenge is a pi-approximation paradox proposed by our friends at Brilliant.org, the online community for students and professionals looking for ... «New York Times, Mar 16»

Israel: TAIEX and 'twinning' support reforms, legislative approximation

Twinning projects can also support the approximation of laws, regulations and quality standards to those of EU Member States. These are long term”, the EU ... «ENPI Info Centre, Mar 16»

Stacked Area Charts and Mathematical Approximations

When tied up in complicated equations, these functions may become awkward to deal with. Consequently, alternative ways of approximating these functions can ... «DZone News, Feb 16»