| 词汇 | unimodular |
| 释义 | BETA Examples of unimodularunimodular isn’t in the Cambridge Dictionary yet. You can help! Both groups consist of unimodular matrices which can be inverted by simple matrix multiplications requiring a very limited number of numerical operations. The coefficient matrix of the reduced system is not totally unimodular. However, this is not possible in the unimodular case of unweighted graphs. Appending such a row to a totally unimodular matrix preserves this property. Furthermore, the theta function of an even unimodular lattice of rank "n" is actually a modular form of weight "n" /2. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In order for the theory to work correctly, the 16 mismatched dimensions must be compactified on an even, unimodular lattice of rank 16. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Then (2) is the group of unimodular transformations which preserve the parity of each entry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Given a finite-dimensional module over a commutative ring, the pairing may be injective (hence nondegenerate in the above sense) but not unimodular. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The matrix has a determinant of 1, and thus it is a 22 unimodular matrix. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Over a field, "unimodular" has the same meaning as "non-singular". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Unimodular simplicies are the smallest polytope in the world of normal polytopes. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Note that this matrix is generally "not" totally unimodular. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. One common way of proving that a polyhedron is integral is to show that it is totally unimodular. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is because the constraint matrix is totally unimodular. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Another important application is in the theory of unitary representations of unimodular locally compact groups, where the theory has been applied to the regular representation and other closely related representations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This means that the determinant is invertible and implies that unimodular matrices are the invertible matrices such all entries of the inverse matrix belong to the domain. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In other words these groups are unimodular. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Such a matrix is called unimodular. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. |
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