Webster's Online Dictionary
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Specialty Definition: EIGENVECTOR

Domain Definition
Computing Eigenvector A vector which, when acted on by a particular linear transformation, produces a scalar multiple of the original vector. The scalar in question is called the eigenvalue corresponding to this eigenvector. It should be noted that "vector" here means "element of a vector space" which can include many mathematical entities. Ordinary vectors are elements of a vector space, and multiplication by a matrix is a linear transformation on them; smooth functions "are vectors", and many partial differential operators are linear transformations on the space of such functions; quantum-mechanical states "are vectors", and observables are linear transformations on the state space. An important theorem says, roughly, that certain linear transformations have enough eigenvectors that they form a basis of the whole vector states. This is why Fourier analysis works, and why in quantum mechanics every state is a superposition of eigenstates of observables. An eigenvector is a (representative member of a) fixed point of the map on the projective plane induced by a linear map. (1996-09-27) Source: The Free On-line Dictionary of Computing.
Mathematics A nonzero vector v whose direction is not changed by a given linear transformation T. Source: European Union. (references)

Source: compiled by the editor from various references; see credits.

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Common Expressions: EIGENVECTOR

Expressions Definition
Eigenvalue, eigenvector and eigenspace In linear algebra, a branch of mathematics, an eigenvector of a transformation is a vector whose direction is unchanged by that transformation. The factor by which the magnitude is scaled is called the eigenvalue of that vector. A pictorial example is provided in Fig. 1. Often, a transformation is completely described by its eigenvalues and eigenvectors. An eigenspace is a space of eigenvectors with the same eigenvalue. These concepts play a major role in several branches of both pure and applied mathematics. (references)
Generalized eigenvector Generalized eigenvectors can be used to determine the Jordan form. (references)

Source: compiled by the editor from various references; see credits.

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Topics by Level of Interest: EIGENVECTOR

Topics sorted by level of Interest Level (1=low, 600=high)     Topics sorted Alphabetically Level (1=low, 600=high)
Eigenvalue, eigenvector and eigenspace 101     Eigenvalue, eigenvector and eigenspace 101
Generalized eigenvector 5     Generalized eigenvector 5

Source: the editor, created by/for EVE to gauge likely levels of human interest in linguistically triggered topics (compiled across various sources, such as Wikipedia and specialty expression glosses).

Synonym: eigenvector
Position Synonym (sorted by strength)

Expression

 eigen vector.
Source: Eve, based on meta analysis. Top

Computed Synonyms: eigenvector

 Rank

 Intensity 

 Word

 Synonyms

 Synonyms of synonym

 1   4.6598   eigenvector     eigen vector         
Source: calculated by Eve using graph theory. "Intensity" is a score indicating the number of overlapping cliques where the word pair is found (an integer before the decimal); the first digit after the decimal is the number of overlapping terminal characters up to 9; the second characters is number of leading common characters up to 9; the last two digits measure the Levenshtein distance subtracted from 100. Top

Translations: EIGENVECTOR

Language Translations (or nearest inflections or synonyms, in parentheses)
Íslenska eiginvigur (eigenvector). Additional references: Íslenska, Iceland, eigenvector. (volunteer & more translations)
Bohemian svojstveni vektor (eigen vector, eigenvector), vlastní vektor (eigenvector). Additional references: Bohemian, Czech Republic, eigenvector. (volunteer & more translations)
Brazilian Portuguese vetores proprios (eigenvector). Additional references: Brazilian Portuguese, Portugal, Angola, eigenvector. (volunteer & more translations)
Central Danish egenvektorer (eigen vector, eigenvector). Additional references: Central Danish, Denmark, Germany, eigenvector. (volunteer & more translations)
Cestina svojstveni vektor (eigen vector, eigenvector), vlastní vektor (eigenvector). Additional references: Cestina, Czech Republic, eigenvector. (volunteer & more translations)
Chinese Simplified 本征向量 (eigenvector). Additional references: Chinese Simplified, China, Brunei, eigenvector. (volunteer & more translations)
Chinese Traditional 本徵向量 (eigenvector). Additional references: Chinese Traditional, China, Brunei, eigenvector. (volunteer & more translations)
Croatian svojstveni vektor (eigenvector). Additional references: Croatian, Croatia, eigenvector. (volunteer & more translations)
Czech svojstveni vektor (eigen vector, eigenvector), vlastní vektor (eigenvector). Additional references: Czech, Czech Republic, eigenvector. (volunteer & more translations)
Danish egenvektorer (eigen vector, eigenvector). Additional references: Danish, Denmark, Germany, eigenvector. (volunteer & more translations)
Dansk egenvektorer (eigen vector, eigenvector). Additional references: Dansk, Denmark, Germany, eigenvector. (volunteer & more translations)
Deutsch Eigenvektor (eigenvector), Hauptvektor (Generalized eigenvector). Additional references: Deutsch, Germany, Austria, eigenvector. (volunteer & more translations)
Finnish ominaisvektori (eigenvector). Additional references: Finnish, Finland, Russia (Europe), eigenvector. (volunteer & more translations)
Français vecteur propre (eigenvector), vecteurs propres (eigen vector, eigenvector). Additional references: Français, France, Algeria, eigenvector. (volunteer & more translations)
French vecteur propre (eigenvector), vecteurs propres (eigen vector, eigenvector). Additional references: French, France, Algeria, eigenvector. (volunteer & more translations)
German Eigenvektor (eigenvector), Hauptvektor (Generalized eigenvector). Additional references: German, Germany, Austria, eigenvector. (volunteer & more translations)
Greek αυτοδιανύσματα (eigen vector, eigenvector). Additional references: Greek, Greece, Albania, eigenvector. (volunteer & more translations)
Greek (transliteration) aitodhianusmata (eigen vector, eigenvector). Additional references: Greek, Greece, Albania, eigenvector. (volunteer & more translations)
High German Eigenvektor (eigenvector), Hauptvektor (Generalized eigenvector). Additional references: High German, Germany, Austria, eigenvector. (volunteer & more translations)
Hochdeutsch Eigenvektor (eigenvector), Hauptvektor (Generalized eigenvector). Additional references: Hochdeutsch, Germany, Austria, eigenvector. (volunteer & more translations)
Hungarian sajátvektor (eigenvector). Additional references: Hungarian, Hungary, Austria, eigenvector. (volunteer & more translations)
Icelandic eiginvigur (eigenvector). Additional references: Icelandic, Iceland, eigenvector. (volunteer & more translations)
Italian autovettore (eigenvector). Additional references: Italian, Italy, Croatia, eigenvector. (volunteer & more translations)
Japanese 固有ベクトル (eigenvector). Additional references: Japanese, Japan, Taiwan, eigenvector. (volunteer & more translations)
Magyar sajátvektor (eigenvector). Additional references: Magyar, Hungary, Austria, eigenvector. (volunteer & more translations)
Portuguese vectores proprios (eigenvector). Additional references: Portuguese, Portugal, Angola, eigenvector. (volunteer & more translations)
Russian собственный вектор (characteristic vector, eigenvector). Additional references: Russian, Russia, China, eigenvector. (volunteer & more translations)
Russian (transliteration) sobstvennyy vektor (characteristic vector, eigenvector). Additional references: Russian, Russia, China, eigenvector. (volunteer & more translations)
Russki собственный вектор (characteristic vector, eigenvector). Additional references: Russki, Russia, China, eigenvector. (volunteer & more translations)
Russki (transliteration) sobstvennyy vektor (characteristic vector, eigenvector). Additional references: Russki, Russia, China, eigenvector. (volunteer & more translations)
Sjaelland egenvektorer (eigen vector, eigenvector). Additional references: Sjaelland, Denmark, Germany, eigenvector. (volunteer & more translations)
Spanish vectores propios (eigen vector, eigenvector), VECTOR PROPIO (eigenvector). Additional references: Spanish, Spain, Mexico, eigenvector. (volunteer & more translations)
Suomea ominaisvektori (eigenvector). Additional references: Suomea, Finland, Russia (Europe), eigenvector. (volunteer & more translations)
Suomi ominaisvektori (eigenvector). Additional references: Suomi, Finland, Russia (Europe), eigenvector. (volunteer & more translations)
Turkish özyöney (eigenvector), özvektör (eigenvector). Additional references: Turkish, Turkey, Bulgaria, eigenvector. (volunteer & more translations)
Source: Eve, based on a combination of meta analysis and graph theory (for near and back translations). Top

Constructed Language Translations: EIGENVECTOR

Language Translations for “eigenvector” or closest synonym(s); back translations in parentheses.
Athag athageigathagenvathagectathagor (eigenvector). Additional references: Athag, eigenvector. (volunteer)
Double Dutch ageigagenvagectagor (eigenvector). Additional references: Double Dutch, eigenvector. (volunteer)
Leet 3193[\]<3[+0|z (eigenvector). Additional references: Leet, eigenvector. (volunteer)
Oppish opeigopenvopectopor (eigenvector). Additional references: Oppish, eigenvector. (volunteer)
Pig Latin eigenvectorway (eigenvector). Additional references: Pig Latin, eigenvector. (volunteer)
Terran B vectoesso (eigenvector). Additional references: Terran B, eigenvector. (volunteer)
Ubbi Dubbi ubeigubenvubectubor (eigenvector). Additional references: Ubbi Dubbi, eigenvector. (volunteer)
Source: compiled by the editor. Top