Results 271 to 280 of about 58,620 (315)
Some of the next articles are maybe not open access.
1995
The world is very complicated and it is clearly impossible for the human mind to understand it completely. Man has therefore devised an artifice which permits the complicated nature of the world to be blamed on something which is called accidental and thus permits him to abstract a domain in which simple laws can be found.
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The world is very complicated and it is clearly impossible for the human mind to understand it completely. Man has therefore devised an artifice which permits the complicated nature of the world to be blamed on something which is called accidental and thus permits him to abstract a domain in which simple laws can be found.
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Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008
Invariant theory can be put in a very general context: If “∼” is an equivalence relation on a set X, then an invariant is a function on X which is constant on every equivalence class. So invariants serve to parametrize equivalence classes. The goals of invariant theory are to find all invariants that meet some further restrictions (such as continuity ...
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Invariant theory can be put in a very general context: If “∼” is an equivalence relation on a set X, then an invariant is a function on X which is constant on every equivalence class. So invariants serve to parametrize equivalence classes. The goals of invariant theory are to find all invariants that meet some further restrictions (such as continuity ...
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2009
For a linear algebraic group G and a regular representation (ρ,V) of G, the basic problem of invariant theory is to describe the G-invariant elements (⊗ k V) G of the k-fold tensor product for all k. If G is a reductive, then a solution to this problem for (ρ *, V *) leads to a determination of the polynomial invariants P(V) G .
Roe Goodman, Nolan R. Wallach
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For a linear algebraic group G and a regular representation (ρ,V) of G, the basic problem of invariant theory is to describe the G-invariant elements (⊗ k V) G of the k-fold tensor product for all k. If G is a reductive, then a solution to this problem for (ρ *, V *) leads to a determination of the polynomial invariants P(V) G .
Roe Goodman, Nolan R. Wallach
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1999
There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision.
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There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision.
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2011
This chapter surveys the multifaceted roles that invariants play in theorizing, from physics and mathematics to biology and neurobiology. The question “What is an invariant of behavior?” is posed, and some alternatives are proposed and discussed: genes, neuroanatomy, and reflex theory.
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This chapter surveys the multifaceted roles that invariants play in theorizing, from physics and mathematics to biology and neurobiology. The question “What is an invariant of behavior?” is posed, and some alternatives are proposed and discussed: genes, neuroanatomy, and reflex theory.
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Nuclear effective field theory: Status and perspectives
Reviews of Modern Physics, 2020Hans-Werner Hammer +2 more
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