Results 231 to 240 of about 639,311 (260)
Some of the next articles are maybe not open access.
2002
If A and B are non-empty subsets of a vector space V over a field F then the subspace spanned by A ∪ B, i.e. the smallest subspace of V that contains both A and B, is the set of linear combinations of elements of A ∪ B. In other words, it is the set of elements of the form $$ [\sum\limits_{i = 1}^m {{\lambda _i}} {a_i} + \sum\limits_{j = 1}^n {{\mu
T. S. Blyth, E. F. Robertson
openaire +1 more source
If A and B are non-empty subsets of a vector space V over a field F then the subspace spanned by A ∪ B, i.e. the smallest subspace of V that contains both A and B, is the set of linear combinations of elements of A ∪ B. In other words, it is the set of elements of the form $$ [\sum\limits_{i = 1}^m {{\lambda _i}} {a_i} + \sum\limits_{j = 1}^n {{\mu
T. S. Blyth, E. F. Robertson
openaire +1 more source
1974
For each ring R we have derived several module categories—among these the category R M of left R-modules. This derivation is not entirely reversible for, in general, R M does not characterize R. However, as we shall see in Chapter 6 it does come close. Thus, we can expect to uncover substantial information about R by mining R M.
Frank W. Anderson, Kent R. Fuller
openaire +1 more source
For each ring R we have derived several module categories—among these the category R M of left R-modules. This derivation is not entirely reversible for, in general, R M does not characterize R. However, as we shall see in Chapter 6 it does come close. Thus, we can expect to uncover substantial information about R by mining R M.
Frank W. Anderson, Kent R. Fuller
openaire +1 more source
On centres and direct sum decompositions of higher degree forms
Linear and Multilinear Algebra, 2022Hualin Huang, Huajun Lu, Yu Ye
exaly
Direct sums of cyclic summands
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1983Doyle, Cutler +3 more
openaire +2 more sources
A new interpretation and practical aspects of the direct-methods modulus sum function. VIII
Acta Crystallographica Section A: Foundations and Advances, 2002Carles Miravitlles +2 more
exaly
A direct phasing method based on the origin-free modulus sum function and the FFT algorithm. XII
Acta Crystallographica Section A: Foundations and Advances, 2007Xavier Torrelles +2 more
exaly
Optimal direct sum results for deterministic and randomized decision tree complexity
Information Processing Letters, 2010, Hartmut Klauck, Miklós Santha
exaly