Results 251 to 260 of about 5,206,394 (288)
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1995
The theory of finite-dimensional vector spaces was created primarily in connection with one problem, and that is the simultaneous solution of a system of k linear equations in n indeterminates over a field F of the form $$ \begin{gathered} {a_{11}}{X_1} + ... + {a_{1n}}{X_n} = {b_1} \hfill \\ {a_{21}}{X_1} + ...
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The theory of finite-dimensional vector spaces was created primarily in connection with one problem, and that is the simultaneous solution of a system of k linear equations in n indeterminates over a field F of the form $$ \begin{gathered} {a_{11}}{X_1} + ... + {a_{1n}}{X_n} = {b_1} \hfill \\ {a_{21}}{X_1} + ...
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1978
In the historical development of linear algebra the geometry of linear transformations and the algebra of systems of linear equations played significant and important roles. A system of linear equations has the form $$\begin{gathered} {{a}_{{1,1}}}{{x}_{1}} + {{a}_{{1,2}}}{{x}_{2}} + \cdots + {{a}_{{1,n}}}{{x}_{n}} = {{b}_{1}}, \hfill \\ {{a}_{{2,1}
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In the historical development of linear algebra the geometry of linear transformations and the algebra of systems of linear equations played significant and important roles. A system of linear equations has the form $$\begin{gathered} {{a}_{{1,1}}}{{x}_{1}} + {{a}_{{1,2}}}{{x}_{2}} + \cdots + {{a}_{{1,n}}}{{x}_{n}} = {{b}_{1}}, \hfill \\ {{a}_{{2,1}
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Linear Transformations and Linear Systems
2020Machine learning algorithms work with data matrices, which can be viewed as collections of row vectors or as collections of column vectors. For example, one can view the rows of an n × d data matrix D as a set of n points in a space of dimensionality d, and one can view the columns as features. These collections of row vectors and column vectors define
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Linear Operators and Linear Systems
2004Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this 2004 book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric ...
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On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
IEEE Transactions on Automatic Control, 2007Oliver Mason
exaly
A new design of constrained controllers for linear systems
IEEE Transactions on Automatic Control, 1985Per-Olof Gutman
exaly