似少年
发表于 2025-3-23 11:23:14
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falsehood
发表于 2025-3-23 16:57:43
The Geometry of Submanifolds,dean geometry, that is, the geometry of . equipped with the Euclidean scalar product and the associated metric .(., .) = ∥. − .∥. A motion of . is a map . of the form .(.) = . + . for . and .. As a warm-up exercise, show that a map . preserves distances if and only if it is a motion..In this chapter
换话题
发表于 2025-3-23 20:48:11
the total informational potential of the individual, while its environment shapes the expression of the ge- type, influences the rate of mutation and occurrence of modifications, and ultimately determines the likelihood that the genotype (or fractions thereof) will survive into the next generation.
腐烂
发表于 2025-3-24 00:21:04
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旧病复发
发表于 2025-3-24 03:45:34
Werner Ballmannthe total informational potential of the individual, while its environment shapes the expression of the ge- type, influences the rate of mutation and occurrence of modifications, and ultimately determines the likelihood that the genotype (or fractions thereof) will survive into the next generation.
creatine-kinase
发表于 2025-3-24 08:56:37
Werner Ballmannies using the latest molecular diagnostic tools.Of particulaIt is a truism among biologists that an organism’s phenotype is the product of both its genotype and its environment. An organism’s genotype contains the total informational potential of the individual, while its environment shapes the expr
heckle
发表于 2025-3-24 10:49:09
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Feature
发表于 2025-3-24 17:30:42
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judicial
发表于 2025-3-24 22:53:11
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豪华
发表于 2025-3-25 01:32:06
Manifolds,ide the natural setting for many concepts from analysis..We discuss manifolds, submanifolds, smooth maps, tangent spaces and tangent bundles, vector fields and their Lie bracket, and Lie groups. We introduce a number of important examples and include many exercises.