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The Structure of a Linear Operator

1992
In this chapter, we study the structure of a linear operator on a finite dimensional vector space, using the powerful module decomposition theorems of the previous chapter. Unless otherwise noted, all vector spaces will be assumed to be finite dimensional.
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The linear products and operations

2007
Publisher Summary This chapter presents two ways to implement the linear products and operations of geometric algebra. Both implementation approaches are based on the linearity and distributivity of the products and operations. The first approach uses linear algebra to encode the multiplying element as a square matrix acting on the multiplied element,
Leo Dorst, Daniel Fontijne, Stephen Mann
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A Comparison of Several Linear Genetic Programming Techniques

Complex Systems
A comparison between four Genetic Programming techniques is presented in this paper. The compared methods are Multi-Expression Programming, Gene Expression Programming, Grammatical Evolution, and Linear Genetic Programming.
Mihai Oltean, C. Grosan
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The Linearized Collision Operator

1969
In Chapter II we found a solution of the Boltzmann equation, i.e., the Maxwellian. It is an exact solution of the Boltzmann equation and practically the only known exact solution [another solution is due to Ikenberry and Truesdell (see ref. 1) but is interesting only for illustrative purposes].
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Linear Operators

Compact Textbooks in Mathematics, 2020
Christian Clason
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Topics on Linear Operators

2014
In chapter 3 we establish some basic concepts on linear operators in Banach spaces. The results developed include spectral analysis for bounded and unbounded self-adjoint operators.
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Semigroups of Linear Operators

1971
In this chapter we present an introductory treatment of the theory of semigroups of linear operators over a Hilbert space, emphasizing those aspects which are of importance in applications. As a rule we shall not strive for generality and instead shall dwell on special classes of semigroups such as compact semigroups and Hilbert-Schmidt semigroups ...
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