![arXiv:math/0604168v1 [math.CO] 7 Apr 2006](http://s1.studyres.com/store/data/017890502_1-2c1abc75bd42752544cdf6d7b46b6ed7-300x300.png)
arXiv:math/0604168v1 [math.CO] 7 Apr 2006
... li is a homogeneous linear form such that the kernel V (li ) of li is the hyperplane Hi . The derivation module D(A) is the S-module of all S-derivations θ such that for all i, θ(li ) is in the principal ideal hli i ⊆ S. If char P k = 0, this is equivalent to the single condition θ(Q) ∈ hQi. The Eul ...
... li is a homogeneous linear form such that the kernel V (li ) of li is the hyperplane Hi . The derivation module D(A) is the S-module of all S-derivations θ such that for all i, θ(li ) is in the principal ideal hli i ⊆ S. If char P k = 0, this is equivalent to the single condition θ(Q) ∈ hQi. The Eul ...
COMPUTING THE SMITH FORMS OF INTEGER MATRICES AND
... A + U V is very likely to be the ith invariant factor of A (the ith diagonal entry of the Smith form of A). For this perturbation, a number of repetitions are required to achieve a high probability of correctly computing the ith invariant factor. Each distinct invariant factor can be found through ...
... A + U V is very likely to be the ith invariant factor of A (the ith diagonal entry of the Smith form of A). For this perturbation, a number of repetitions are required to achieve a high probability of correctly computing the ith invariant factor. Each distinct invariant factor can be found through ...
Ogasawara, M.; (1965)A necessary condition for the existence of regular and symmetrical PBIB designs of T_M type."
... the proper space related to PBIB designs of triangular tYI>e. In this article, the author introduces an association of T type as an m extension of the type of association stated above, and determines the proper spaces related to PBIB designs of this type, along the line of Corsten's work. Non-existe ...
... the proper space related to PBIB designs of triangular tYI>e. In this article, the author introduces an association of T type as an m extension of the type of association stated above, and determines the proper spaces related to PBIB designs of this type, along the line of Corsten's work. Non-existe ...
for twoside printing - Institute for Statistics and Mathematics
... its own roots, amounts to thirty-nine?” and presented the following recipe: “The solution is this: you halve the number of roots, which in the present instance yields five. This you multiply by itself; the product is twenty-five. Add this to thirty-nine; the sum us sixty-four. Now take the root of t ...
... its own roots, amounts to thirty-nine?” and presented the following recipe: “The solution is this: you halve the number of roots, which in the present instance yields five. This you multiply by itself; the product is twenty-five. Add this to thirty-nine; the sum us sixty-four. Now take the root of t ...
Introduction to Linear Transformation
... Question: Describe all vectors ~u so that T (~u ) = ~b. Answer: This is the same as finding all vectors ~u so that A~u = ~b. Could be no ~u , could be exactly one ~u , or could be a parametrized family of such ~u ’s. Recall the idea: row reduce the augmented matrix [A : ~b] to merely echelon form. A ...
... Question: Describe all vectors ~u so that T (~u ) = ~b. Answer: This is the same as finding all vectors ~u so that A~u = ~b. Could be no ~u , could be exactly one ~u , or could be a parametrized family of such ~u ’s. Recall the idea: row reduce the augmented matrix [A : ~b] to merely echelon form. A ...
