commensurability การใช้

• The term " frustration ", in the context of commensurability magnetic superstructures.
• Kleinian groups and it is possible to give a complete classification in a given arithmetic commensurability class.
• The discovery of a theory of ratios that does not assume commensurability is probably due to Eudoxus of Cnidus.
• They exhaust all arithmetic commensurability classes in \ mathrm { SL } _ 2 ( \ mathbb C ).
• "' Commensurability "'is the property of two orbiting objects, such as planets, proportion.
• The planets are close to a 5 : 2 period commensurability, but resonances could not be confirmed at the time.
• The term commensurability was coined because of a series of problems that both authors found when trying to interpret successive scientific theories.
• As for trace fields, the former is not the same for all groups in the same commensurability class but the latter is.
• All arithmetic lattices in \ mathrm { SL } _ 2 ( \ mathbb R ) are obtained in this way ( up to commensurability ).
• In this correspondence the modular group is associated up to commensurability to the group \ mathrm { SO } ( 2, 1 ) ( \ mathbb Z ).
• Assessments of ( in ) commensurability, therefore, don't have much effect in Feyerabend's system, and can be more or less passed over in silence.
• Using synthetic secular perturbation theory, we find that Mercury is destabilized via an entrance into a linear secular resonance with Jupiter in which their corresponding eigenfrequencies experience extended periods of commensurability.
• In this context " commensurability " means that the ratio of the two planets'mean motions is very nearly equal to a ratio between a pair of small whole numbers.
• Prasad and Rapinchuk introduced a new notion of " weak-commensurability " of arithmetic subgroups and determined " weak-commensurability classes " of arithmetic groups in a given semi-simple group.
• Prasad and Rapinchuk introduced a new notion of " weak-commensurability " of arithmetic subgroups and determined " weak-commensurability classes " of arithmetic groups in a given semi-simple group.
• They used their results on weak-commensurability to obtain results on length-commensurable and isospectral arithmetic locally symmetric spaces, see [ 17 ], [ 18 ] and [ 19 ].
• Since the 243 : 395 Earth : Venus commensurability is only approximate, there are different sequences of transits occurring 243 years apart, each extending for several thousand years, which are eventually replaced by other sequences.
• While weak commensurability is a form of strong comparability, it is distinct from weak comparability, where the fact that a comparison is valid in one context does not imply that it is so in all contexts.
• :Yes, commensurability is an important factor here ( Ultimately all physical quantities are commensurable and that's why Count Iblis said " In the end we have to realize that physics is fundamentally dimensionless " ).
• Euclid's notion of commensurability is anticipated in passing in the discussion between Socrates and the slave boy in Plato's dialogue entitled Meno, in which Socrates uses the boy's own inherent capabilities to solve a complex geometric problem through the Socratic Method.