pseudovector oor Fins
pseudovector
en
(mathematics, physics) A quantity that transforms like a vector under a proper rotation but gains an additional change of sign under an improper rotation.
Vertalings in die woordeboek Engels - Fins
pseudovektori
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
voorbeelde
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Voorbeelde moet herlaai word.
Thus for example the curl naturally takes as input a vector field or 1-form, but naturally has as output a 2-vector field or 2-form (hence pseudovector field), which is then interpreted as a vector field, rather than directly taking a vector field to a vector field; this is reflected in the curl of a vector field in higher dimensions not having as output a vector field.
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For example, if one side of the equation is a cross product of two vectors, one must take into account that when the handedness of the coordinate system is not fixed a priori, the result is not a (true) vector but a pseudovector.
Kliininen tehokkuusWikiMatrix WikiMatrix
From a general point of view, the various fields in (3-dimensional) vector calculus are uniformly seen as being k-vector fields: scalar fields are 0-vector fields, vector fields are 1-vector fields, pseudovector fields are 2-vector fields, and pseudoscalar fields are 3-vector fields.
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The product can be generalized in various ways; it can be made independent of orientation by changing the result to pseudovector, or in arbitrary dimensions the exterior product of vectors can be used with a bivector or two-form result.
Sano se BillielleWikiMatrix WikiMatrix
The problem is clarified by realizing that the cross product of two vectors is not a (true) vector, but rather a pseudovector.
Toiminnallista ja taloudellista vipuvaikutusta esiintyy myös julkisen ja yksityisen sektorin kumppanuuksien edistämisessäWikiMatrix WikiMatrix
If its output is not required to be a vector or a pseudovector but instead a matrix, then it can be generalized in an arbitrary number of dimensions.
OIen tutkinut paikkaa vuosikausia täIIaisen tiIanteen varaItaWikiMatrix WikiMatrix
Therefore, for consistency, the other side must also be a pseudovector.[citation needed]
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1.3 Vectors and pseudovectors
Odota hetki, puoliaika on tulossaParaCrawl Corpus ParaCrawl Corpus
This happens, according to the above relationships, if one of the operands is a (true) vector and the other one is a pseudovector (e.g., the cross product of two vectors).
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Thus for example the curl naturally takes as input a vector field or 1-form, but naturally has as output a 2-vector field or 2-form (hence pseudovector field), which is then interpreted as a vector field, rather than directly taking a vector field to a vector field; this is reflected in the curl of a vector field in higher dimensions not having as output a vector field.
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More generally, the result of a cross product may be either a vector or a pseudovector, depending on the type of its operands (vectors or pseudovectors).
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In mechanics, for example, the angular velocity can be interpreted either as a pseudovector displaystyle \omega} or as a anti-symmetric matrix or skew-symmetric tensor displaystyle \Omega} .
vaarallisten aineiden päästöt juoma-, pohja- tai meriveteen taikka maaperäänParaCrawl Corpus ParaCrawl Corpus
From a general point of view, the various fields in (3-dimensional) vector calculus are uniformly seen as being k-vector fields: scalar fields are 0-vector fields, vector fields are 1-vector fields, pseudovector fields are 2-vector fields, and pseudoscalar fields are 3-vector fields.
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In more advanced treatments, one further distinguishes pseudovector fields and pseudoscalar fields, which are identical to vector fields and scalar fields except that they change sign under an orientation-reversing map: for example, the curl of a vector field is a pseudovector field, and if one reflects a vector field, the curl points in the opposite direction.
Haluan kannustaa maata jatkamaan päättäväisesti samalla tiellä.ParaCrawl Corpus ParaCrawl Corpus
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