elucidate 发表于 2025-3-25 04:42:50
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The generalisation: a solution for spheres of arbitrary dimension, which gives rise to a Lie bracket and hence to a Lie algebra generated by Killing tensors. On one hand, we can use the metric to identify the symmetric bilinear form K.. with a symmetric endomorphism ..谆谆教诲 发表于 2025-3-25 13:58:38
Von der Schallempfindung im allgemeinen the corresponding algebraic curvature tensors. To this end, we substitute (0.7) into (0.2) and both into (0.3) and then use the representation theory for general linear groups to get rid of the dependence on the base point in the manifold.来这真柔软 发表于 2025-3-25 17:36:47
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The proof of concept: a complete solution for the 3-dimensional sphere,Given a scalar product . on ., we can raise and lower indices. The symmetries (0.6a) and (0.6b) then allow us to regard an algebraic curvature tensor . on . as a symmetric endomorphism . on the space ʌ.. of 2-forms on . . Since we will frequently change between both interpretations, we denote endomorphisms by the same letter in boldface.Estrogen 发表于 2025-3-26 04:39:33
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Specimen Collection and Analysisn burns (.), and burn wounds have figured prominently in wound-healing studies. One of the difficulties with human burn wound studies, however, has been the uncontrolled circumstance under which a patient acquires the burn wound: What was the temperature? What was the timing? What was the depth or extent?landmark 发表于 2025-3-26 20:18:47
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