Definitions for pseudotensor
pseu·doten·sor

WiktionaryRate this definition:0.0 / 0 votes

1. pseudotensornoun

   A quantity that transforms like a tensor under a proper rotation but gains an additional change of sign under an improper rotation.

WikipediaRate this definition:0.0 / 0 votes

1. Pseudotensor

   In physics and mathematics, a pseudotensor is usually a quantity that transforms like a tensor under an orientation-preserving coordinate transformation (e.g. a proper rotation) but additionally changes sign under an orientation-reversing coordinate transformation (e.g., an improper rotation), which is a transformation that can be expressed as a proper rotation followed by reflection. This is a generalization of a pseudovector. To evaluate a tensor or pseudotensor sign, it has to be contracted with some vectors, as many as its rank is, belonging to the space where the rotation is made while keeping the tensor coordinates unaffected (differently from what one does in the case of a base change). Under improper rotation a pseudotensor and a proper tensor of the same rank will have different sign which depends on the rank being even or odd. Sometimes inversion of the axes is used as an example of an improper rotation to see the behaviour of a pseudotensor, but it works only if vector space dimensions is odd otherwise inversion is a proper rotation without an additional reflection. There is a second meaning for pseudotensor (and likewise for pseudovector), restricted to general relativity. Tensors obey strict transformation laws, but pseudotensors in this sense are not so constrained. Consequently, the form of a pseudotensor will, in general, change as the frame of reference is altered. An equation containing pseudotensors which holds in one frame will not necessarily hold in a different frame. This makes pseudotensors of limited relevance because equations in which they appear are not invariant in form.

WikidataRate this definition:1.0 / 1 vote

1. Pseudotensor

   In physics and mathematics, a pseudotensor is usually a quantity that transforms like a tensor under an orientation-preserving coordinate transformation, but additionally changes sign under an orientation reversing coordinate transformation. There is a second meaning for pseudotensor, restricted to general relativity; tensors obey strict transformation laws, whilst pseudotensors are not so constrained. Consequently the form of a pseudotensor will, in general, change as the frame of reference is altered. An equation which holds in a frame containing pseudotensors will not necessarily hold in a different frame; this makes pseudotensors of limited relevance because equations in which they appear are not invariant in form.

How to pronounce pseudotensor?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Veena

   Indian

   Priya

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   Neerja

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   Zira

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   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say pseudotensor in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of pseudotensor in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of pseudotensor in Pythagorean Numerology is: 9

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Pseudotensor
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Pseudotensor
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=pseudotensor