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Meaning of "orthogonal" in the German dictionary

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DICTIONARY
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PRONUNCIATION OF ORTHOGONAL IN GERMAN

orthogonal  [orthogona̲l] play
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GRAMMATICAL CATEGORY OF ORTHOGONAL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
interjection
article
orthogonal is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES ORTHOGONAL MEAN IN GERMAN?

Click to see the original definition of «orthogonal» in the German dictionary.
Click to see the automatic translation of the definition in English.

orthogonality

Orthogonalität

The term orthogonality is used within mathematics in a series of different but related meanings. In elementary geometry, two straight lines or planes are called orthogonal, if they enclose a right angle, ie an angle of 90 °. In linear algebra, the term is extended to more general vector spaces, and two vectors are called orthogonal to each other if their inner product is zero. This meaning is then also transferred to images between vector spaces which leave the inner product and thus the orthogonality of two vectors unchanged. Der Begriff Orthogonalität wird innerhalb der Mathematik in einer Reihe unterschiedlicher, aber verwandter Bedeutungen verwendet. In der Elementargeometrie nennt man zwei Geraden oder Ebenen orthogonal, wenn sie einen rechten Winkel, also einen Winkel von 90° einschließen. In der linearen Algebra wird der Begriff dann auf allgemeinere Vektorräume erweitert und zwei Vektoren heißen zueinander orthogonal, wenn ihr Skalarprodukt null ist. Diese Bedeutung wird dann auch auf Abbildungen zwischen Vektorräumen übertragen, die das Skalarprodukt und damit die Orthogonalität zweier Vektoren unverändert lassen.

Definition of orthogonal in the German dictionary

concerning the orthogon; right-angled vertical. das Orthogon betreffend; rechtwinklig senkrecht.
Click to see the original definition of «orthogonal» in the German dictionary.
Click to see the automatic translation of the definition in English.

GERMAN WORDS THAT RHYME WITH ORTHOGONAL


additional
additiona̲l
agonal
agona̲l
diagonal
diagona̲l 
dimensional
dimensiona̲l
divisional
divisiona̲l
epigonal
epigona̲l
heptagonal
heptagona̲l
hexagonal
hexagona̲l
international
internationa̲l, auch: [ˈɪn…]
isogonal
isogona̲l
loxogonal
loxogona̲l
national
nationa̲l 
nonagonal
nonagona̲l
oktogonal
oktogona̲l
pentagonal
pentagona̲l
personal
persona̲l
polygonal
polygona̲l
professional
professiona̲l 
tetragonal
tetragona̲l
trigonal
trigona̲l

GERMAN WORDS THAT BEGIN LIKE ORTHOGONAL

orthodrom
Orthodrome
orthodromisch
Orthoepie
Orthoepik
orthoepisch
Orthofonie
Orthogenese
Orthogestein
orthognath
Orthognathie
Orthogneis
Orthogon
Orthografie
orthografisch
Orthoklas
Orthologie
orthomolekular
orthonym

GERMAN WORDS THAT END LIKE ORTHOGONAL

Amnesty International
Traditional
devotional
emotional
hormonal
intentional
interpersonal
irrational
motivational
multidimensional
multinational
neuronal
operational
optional
proportional
rational
regional
relational
tonal
transnational

Synonyms and antonyms of orthogonal in the German dictionary of synonyms

SYNONYMS

SYNONYMS OF «ORTHOGONAL» IN GERMAN

The following German words have a similar or identical meaning as «orthogonal» and belong to the same grammatical category.
German synonyms of orthogonal

Translation of «orthogonal» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF ORTHOGONAL

Find out the translation of orthogonal to 25 languages with our German multilingual translator.
The translations of orthogonal from German to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «orthogonal» in German.

Translator German - Chinese

正交
1,325 millions of speakers

Translator German - Spanish

ortogonal
570 millions of speakers

Translator German - English

orthogonal
510 millions of speakers

Translator German - Hindi

ओर्थोगोनल
380 millions of speakers
ar

Translator German - Arabic

متعامد
280 millions of speakers

Translator German - Russian

ортогональный
278 millions of speakers

Translator German - Portuguese

ortogonal
270 millions of speakers

Translator German - Bengali

লম্ব
260 millions of speakers

Translator German - French

orthogonal
220 millions of speakers

Translator German - Malay

ortogon
190 millions of speakers

German

orthogonal
180 millions of speakers

Translator German - Japanese

直交
130 millions of speakers

Translator German - Korean

직교
85 millions of speakers

Translator German - Javanese

orthogonal
85 millions of speakers
vi

Translator German - Vietnamese

trực giao
80 millions of speakers

Translator German - Tamil

செங்கோண
75 millions of speakers

Translator German - Marathi

Orthogonal
75 millions of speakers

Translator German - Turkish

ortogonal
70 millions of speakers

Translator German - Italian

ortogonale
65 millions of speakers

Translator German - Polish

prostokątny
50 millions of speakers

Translator German - Ukrainian

ортогональний
40 millions of speakers

Translator German - Romanian

ortogonale
30 millions of speakers
el

Translator German - Greek

ορθογώνια
15 millions of speakers
af

Translator German - Afrikaans

ortogonale
14 millions of speakers
sv

Translator German - Swedish

ortogonal
10 millions of speakers
no

Translator German - Norwegian

ortogonale
5 millions of speakers

Trends of use of orthogonal

TRENDS

TENDENCIES OF USE OF THE TERM «ORTHOGONAL»

The term «orthogonal» is very widely used and occupies the 12.999 position in our list of most widely used terms in the German dictionary.
0
100%
FREQUENCY
Very widely used
94
/100
The map shown above gives the frequency of use of the term «orthogonal» in the different countries.
Principal search tendencies and common uses of orthogonal
List of principal searches undertaken by users to access our German online dictionary and most widely used expressions with the word «orthogonal».

FREQUENCY OF USE OF THE TERM «ORTHOGONAL» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «orthogonal» during the past 500 years. Its implementation is based on analysing how often the term «orthogonal» appears in digitalised printed sources in German between the year 1500 and the present day.

Examples of use in the German literature, quotes and news about orthogonal

EXAMPLES

10 GERMAN BOOKS RELATING TO «ORTHOGONAL»

Discover the use of orthogonal in the following bibliographical selection. Books relating to orthogonal and brief extracts from same to provide context of its use in German literature.
1
Langenscheidt Routledge German dictionary of physics:
Orthonormie- rungsverfahren Orthogonal itat M . (mathPh) orthogonality; 2. (Mech ) orthogonality, perpendicularity -/starke (At, Ou) strong orthogonality Orthogonalitatsbedingung f (Mech) condition of orthogonality, orthogonality condition ...
Ralf Sube, 2001
2
Analytisch-geometrische Entwicklungen
Nehmen wir * immer kleiner , so nähert sich der Schneidungs -Kreis immer mehr dem Orthogonal -Kreise , der dem Ucbergange von positiven Werthen von t zu negativen Werlhcn entspricht. Dieser Kreis hat also mit allen in Rede stehenden  ...
Julius Plücker, 1828
3
Lineare Algebra:
4. Zwei Vektoren x, y e R" heißen orthogonal (in Zeichen x±y), wenn {x, v> = 0. Sind x, v / 0, so gilt offenbar x±y O l(x, y) = -. Ist L = v + Rw c M" eine Gerade, so heißt sef orthogonal zu L, wenn {s, x — y) —0 für alle x, y e L. Zeigen Sie: a) Ist L = v ...
Gerd Fischer, 2009
4
Biaxial compression-tension-strength of reinforced concrete ...
[O4] 1989 nicht verfügbar orthogonales Netz, zwei Lagen, Winkel 0° orthogonal mesh, two layers, angle 0° zyklisch wechselnde Schubbeanspruchung cyclic alternating shear stress not available Tanigushi [T3] 1990 10 orthogonales Netz,  ...
Ekkehard Fehling, Torsten Leutbecher, Friedrich-Karl Röder, 2008
5
Arbeitsbuch höhere Mathematik: Aufgaben mit vollständig ...
1) Prüfen Sie nach, dass die drei Vektoren jeweils orthogonal zueinander sind. 2) 3) Bestimmen Sie λi so, dass für ̃ai = λi · ai gilt: || ̃a i || = 1. Sei A ∈ R3×3 die Matrix bestehend aus ̃a1, ̃a2 und ̃a3 als Spalten. ̈Uberlegen Sie sich, dass A ...
Georg Hoever, 2013
6
Fehlende Orthogonalität in uni- und multivariaten ...
so werden die beiden Vektoren als zueinander orthogonal bezeichnet, was mit a ±b ausgedrückt wird (vgl. SCHEFFE, 1959, S.377). Sind v Vektoren ava2,...,av paarweise zueinander orthogonal, sind sie insgesamt auch linear unabhängig ( vgl ...
Stefan Tuschl, 1997
7
Repertorium der h?heren Mathematik
Sind jene Geraden orthogonal zu diesen Ebenen so werden wir auch die beiden uneigentlichen Elemente — Punk und Gerade — orthogonal nennen. Durch die Orthogonalitii findet also in der uneigentlichen Ebene eine Paarung aller Punkt.
Ernesto Pascal, 2013
8
Kanalcodierung
D Für zyklische Codes braucht man nur eine Menge von Prüfvektoren, die orthogonal zu einer Stelle sind. Für die anderen Stellen ergibt sich die Menge einfach durch zyklisches Verschieben. Dieses Decodierverfahren wird dann auch häufig ...
Martin Bossert, 1998
9
Tensoranalysis
3.7 Orthogonale Tensoren Man kann in Analogie zu den Überlegungen zu inversen Tensoren leicht zeigen, dass die Koordinatenmatrix eines Tensors in allen Koordinatensystemen eigentlich oder uneigentlich orthogonal ist, wenn sie in ...
Heinz Schade, Klaus Neemann, 2009
10
Übungsbuch zur Linearen Algebra: Aufgaben und Lösungen
Zwei Vektoren x, y eR" heißen orthogonal (in Zeichen xA.y), wenn {x, y) = 0. Sind x, y 7^ 0, so gilt offenbar n xLy O <{x,y) = — . Ist L = v + Rw C R" eine Gerade, so heißt s e R" orthogonal zu L, wenn (s, x—y) — 0 für alle x, y e L. Zeigen Sie: a) Ist  ...
Birgit Griese, 2010

10 NEWS ITEMS WHICH INCLUDE THE TERM «ORTHOGONAL»

Find out what the national and international press are talking about and how the term orthogonal is used in the context of the following news items.
1
CGG wins Pemex contract for Mexico's Perdido area
PARIS -- CGG has been awarded a major contract by Pemex to deliver an orthogonal wide-azimuth integrated solution designed to optimize subsalt seismic ... «WorldOil, Oct 16»
2
MEDIA ADVISORY: Spin Transfer Technologies to Detail Advanced ...
Chief Technology Officer Mustafa Pinarbasi of Spin Transfer Technologies (STT), developer of a proprietary Orthogonal Spin Transfer Magneto-Resistive ... «Business Wire, Aug 16»
3
PLOS Collections
We combine UAA Orthogonal genectical system with logic AND gate gene circuits to kill ... The Orthogonal gene circuit system was generated by Hao Wong and ... «PLoS Blogs, May 16»
4
Claritas Orthogonal Sequencing Improves the Quality and Speed of ...
The study, 'Orthogonal Next Generation Sequencing (NGS) for High Throughput Clinical Diagnostics' was published today in the online edition of Scientific ... «PR Newswire, Apr 16»
5
TE Connectivity Announces STRADA Whisper DPO Configuration ...
... connectivity and sensors, today announced its new STRADA Whisper direct plug orthogonal (DPO) connectors, which enable designers to eliminate midplane ... «Business Wire, Apr 16»
6
Near Death will be 'harsher than traditional survival sims'
When I shared the announcement trailer for Orthogonal Games's Near Death last week, I was struck by the game's amazing atmosphere and visual callbacks to ... «Zam News, Mar 16»
7
Steve Mann opens “Orthogonal Convergence: Photographs, 1982 ...
STEVE MANN: ORTHOGONAL CONVERGENCE — PHOTOGRAPHS, 1982 – 2016 is Mann's first solo exhibition in Asheville since 2004, and offers a broad ... «Mountain Xpress, Mar 16»
8
Chemical biology Addicting bugs to nonstandard amino acids
Scientists can maintain orthogonal translation systems over many bacterial generations by making an essential gene depend on a nonstandard amino acid. «Nature.com, Feb 16»
9
Explicit information for category-orthogonal object properties ...
We systematically explored the ability of multiple ventral visual areas to support a variety of 'category-orthogonal' object properties such as position, size and ... «Nature.com, Feb 16»
10
Record-breaking signal transmission capacity paves the way for ...
Li explained that their scheme adopts a higher level, broadband multicarrier modulation method called Orthogonal Frequency-Division Multiplexing (OFDM), ... «Phys.Org, Feb 16»

REFERENCE
« EDUCALINGO. orthogonal [online]. Available <https://educalingo.com/en/dic-de/orthogonal>. May 2024 ».
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