What does gyration tensor mean?
Definitions for gyration tensor
gy·ra·tion ten·sor
This dictionary definitions page includes all the possible meanings, example usage and translations of the word gyration tensor.
Wikipedia
Gyration tensor
In physics, the gyration tensor is a tensor that describes the second moments of position of a collection of particles S m n = d e f 1 N ∑ i = 1 N r m ( i ) r n ( i ) {\displaystyle S_{mn}\ {\stackrel {\mathrm {def} }{=}}\ {\frac {1}{N}}\sum _{i=1}^{N}r_{m}^{(i)}r_{n}^{(i)}} where r m ( i ) {\displaystyle r_{m}^{(i)}} is the m t h {\displaystyle \mathrm {m^{th}} } Cartesian coordinate of the position vector r ( i ) {\displaystyle \mathbf {r} ^{(i)}} of the i t h {\displaystyle \mathrm {i^{th}} } particle. The origin of the coordinate system has been chosen such that ∑ i = 1 N r ( i ) = 0 {\displaystyle \sum _{i=1}^{N}\mathbf {r} ^{(i)}=0} i.e. in the system of the center of mass r C M {\displaystyle r_{CM}} . Where r C M = 1 N ∑ i = 1 N r ( i ) {\displaystyle r_{CM}={\frac {1}{N}}\sum _{i=1}^{N}\mathbf {r} ^{(i)}} Another definition, which is mathematically identical but gives an alternative calculation method, is:
Numerology
Chaldean Numerology
The numerical value of gyration tensor in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of gyration tensor in Pythagorean Numerology is: 2
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"gyration tensor." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/gyration+tensor>.
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