### Some articles on *algebras, generated*:

Statistical Dependence - Definition - Independent σ-algebras

... both generalized by the following definition of independence for σ-

... both generalized by the following definition of independence for σ-

**algebras**... Let (Ω, Σ, Pr) be a probability space and let A and B be two sub-σ-**algebras**of Σ ... A ∈ A and B ∈ B, Likewise, a finite family of σ-**algebras**is said to be independent if and only if for all and an infinite family of σ-**algebras**is said to ...Invariant Theory - Hilbert's Theorems

... the ring of polynomials R = S(V) is finitely

... the ring of polynomials R = S(V) is finitely

**generated**... so is graded by degrees, and the ideal I is defined to be the ideal**generated**by the homogeneous invariants of positive degrees ... By Hilbert's basis theorem the ideal I is finitely**generated**(as an ideal) ...### Famous quotes containing the words generated and/or algebra:

“It is precisely the purpose of the public opinion *generated* by the press to make the public incapable of judging, to insinuate into it the attitude of someone irresponsible, uninformed.”

—Walter Benjamin (1892–1940)

“Poetry has become the higher *algebra* of metaphors.”

—José Ortega Y Gasset (1883–1955)

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