Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Euclidean_vector> ?p ?o. }
Showing items 1 to 67 of
67
with 100 items per page.
- Euclidean_vector abstract "In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric quantity having magnitude (or length) and direction expressed numerically as tuples [ x , y , z ] splitting the entire quantity into its orthogonal-axis components. A vector is an object that is an input for or an output from vector functions according to vector algebra. A Euclidean vector is typically sketched as a directed line segment, or arrow, connecting an initial point A with a terminal point B and denoted by However, as an informational object, the vector is not as informative as a directed line segment (an ordered list of two points [ A , B ]) but rather expresses the displacement, or vector offset (change in location), A --> B. Technically, the [ x, y, z ] components of vector are equal to the vector difference minus . In this way, the vector considered as a numerical quantity conceals the locations of A and B while imparting the location of point B relative to A as if A were the coordinate origin.Vectors play an important role in physics: velocity and acceleration of a moving object and forces acting on it are all described by vectors. Many other physical quantities can be usefully thought of as vectors. Although most of them do not represent distances (except, for example, position or displacement), their magnitude and direction can be still represented by the length and direction of an arrow. The mathematical representation of a physical vector depends on the coordinate system used to describe it. Other vector-like objects that describe physical quantities and transform in a similar way under changes of the coordinate system include pseudovectors and tensors.It is important to distinguish Euclidean vectors from the more general concept in linear algebra of vectors as elements of a vector space. General vectors in this sense are fixed-size, ordered collections of items as in the case of Euclidean vectors, but the individual items may not be real numbers, and the normal Euclidean concepts of length, distance and angle may not be applicable. (A vector space with a definition of these concepts is called an inner product space.) In turn, both of these definitions of vector should be distinguished from the statistical concept of a random vector. The individual items in a random vector are individual real-valued random variables, and are often manipulated using the same sort of mathematical vector and matrix operations that apply to the other types of vectors, but otherwise usually behave more like collections of individual values. Concepts of length, distance and angle do not normally apply to these vectors, either; rather, what links the values together is the potential correlations among them.The word "vector" originates from the Latin vehere meaning "to carry". It was first used by 18th century astronomers investigating planet rotation around the Sun.".
- Euclidean_vector wikiPageExternalLink Vector.htm.
- Euclidean_vector wikiPageExternalLink introvectors.htm.
- Euclidean_vector wikiPageExternalLink counter2.html.
- Euclidean_vector wikiPageExternalLink Les-vecteurs.
- Euclidean_vector wikiPageExternalLink vector_identities.pdf.
- Euclidean_vector wikiPageID "32533".
- Euclidean_vector wikiPageRevisionID "606537112".
- Euclidean_vector first "A.B.".
- Euclidean_vector hasPhotoCollection Euclidean_vector.
- Euclidean_vector id "V/v096340".
- Euclidean_vector id "p/v096340".
- Euclidean_vector last "Ivanov".
- Euclidean_vector title "Vector".
- Euclidean_vector title "Vector, geometric".
- Euclidean_vector subject Category:Abstract_algebra.
- Euclidean_vector subject Category:Concepts_in_physics.
- Euclidean_vector subject Category:Linear_algebra.
- Euclidean_vector subject Category:Vector_calculus.
- Euclidean_vector subject Category:Vectors.
- Euclidean_vector type Abstraction100002137.
- Euclidean_vector type Cognition100023271.
- Euclidean_vector type Concept105835747.
- Euclidean_vector type Content105809192.
- Euclidean_vector type FundamentalPhysicsConcepts.
- Euclidean_vector type Idea105833840.
- Euclidean_vector type PsychologicalFeature100023100.
- Euclidean_vector type Quantity105855125.
- Euclidean_vector type Variable105857459.
- Euclidean_vector type Vector105864577.
- Euclidean_vector type Vectors.
- Euclidean_vector type Genre.
- Euclidean_vector type MusicGenre.
- Euclidean_vector type TopicalConcept.
- Euclidean_vector type Concept.
- Euclidean_vector comment "In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric quantity having magnitude (or length) and direction expressed numerically as tuples [ x , y , z ] splitting the entire quantity into its orthogonal-axis components. A vector is an object that is an input for or an output from vector functions according to vector algebra.".
- Euclidean_vector label "Euclidean vector".
- Euclidean_vector label "Vecteur".
- Euclidean_vector label "Vector (wiskunde)".
- Euclidean_vector label "Vector".
- Euclidean_vector label "Vektor".
- Euclidean_vector label "Vetor (matemática)".
- Euclidean_vector label "Vettore (matematica)".
- Euclidean_vector label "Wektor".
- Euclidean_vector label "Вектор (геометрия)".
- Euclidean_vector label "متجه".
- Euclidean_vector label "矢量".
- Euclidean_vector label "空間ベクトル".
- Euclidean_vector sameAs Vektor.
- Euclidean_vector sameAs Vektor.
- Euclidean_vector sameAs Ευκλείδειο_διάνυσμα.
- Euclidean_vector sameAs Vector.
- Euclidean_vector sameAs Bektore_(fisika).
- Euclidean_vector sameAs Vecteur.
- Euclidean_vector sameAs Vektor_(spasial).
- Euclidean_vector sameAs Vettore_(matematica).
- Euclidean_vector sameAs 空間ベクトル.
- Euclidean_vector sameAs 벡터_(물리).
- Euclidean_vector sameAs Vector_(wiskunde).
- Euclidean_vector sameAs Wektor.
- Euclidean_vector sameAs Vetor_(matemática).
- Euclidean_vector sameAs m.07zz1.
- Euclidean_vector sameAs Q44528.
- Euclidean_vector sameAs Q44528.
- Euclidean_vector sameAs Euclidean_vector.
- Euclidean_vector wasDerivedFrom Euclidean_vector?oldid=606537112.
- Euclidean_vector isPrimaryTopicOf Euclidean_vector.