规章
发表于 2025-3-23 11:59:16
Lecture II theory of numbers will be found in the study of points all of whose coordinates are integers. These points will be called . or .. The set of all .-points will be called a .. The following theorem about lattice points and convex bodies was proved by Minkowski.
anus928
发表于 2025-3-23 15:44:32
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dowagers-hump
发表于 2025-3-23 21:20:35
Lecture XIInant of the corresponding symmetric matrix.] Let .. be the minimum value of the quadratic form on the lattice of .-points excluding the origin. In the previous lecture we showed that ${r_2} leqslant sqrt {frac{{4Delta }}{3}} ,$. and the equality sign holds if and only if the form is equivalent to .
Heretical
发表于 2025-3-23 23:16:35
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救护车
发表于 2025-3-24 05:04:56
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fibroblast
发表于 2025-3-24 09:33:51
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Mast-Cell
发表于 2025-3-24 14:20:25
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Innocence
发表于 2025-3-24 18:03:47
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Conclave
发表于 2025-3-24 20:31:17
Lecture XIInant of the corresponding symmetric matrix.] Let .. be the minimum value of the quadratic form on the lattice of .-points excluding the origin. In the previous lecture we showed that ${r_2} leqslant sqrt {frac{{4Delta }}{3}} ,$. and the equality sign holds if and only if the form is equivalent to . .
感激小女
发表于 2025-3-25 00:01:25
Lecture XIVd points not belonging to .. A boundary point of . may not belong to .; for example, the zero matrix does not belong to ., yet it is a boundary point of ., because . (λ arbitrary positive) belongs to R if . does, and we may let λ tend to zero.