Sentence examples for by a theorem of from inspiring English sources

By a theorem of Adelson-Velskii [1], each finitely generated group of subexponential growth belongs to the class (AG).

These doubles induce CP-flows over K for 1by a theorem of Bhat.

By a theorem of Kubo and Ando [26], for each (tin [0,1]), (F X,Y) := X _t Y) is jointly concave in X and Y.

By a theorem of Withehead (see, e.g., p.419 in [43]), there exists a triangulation τ of (|N omega)|) finer than the cover α.

Equivalently, by a theorem of Birkhoff [35] a variety is a class of algebraic structures closed under taking cartesian products, homomorphic images and substructures.

For domains with (C^2) boundary this is guaranteed by a theorem of Diederich and Fornæss [48], even with (a=b).

The interest of this notion can perhaps be best brought out by recalling a theorem of Banach and Tarski.

By establishing a theorem of function theory over the bidisk, it is shown that a Beurling type quotient module is essentially normal if and only if the corresponding inner function is a rational inner function having degree at most (1,1).

But if $A$ is true in all models, then, by Completeness, $A$ is a theorem of pure quantificational logic.

ARD1 is a theorem of RD+ARD1 by virtue of theorem (16), i.e., ARD1.

Firstly, by means of reduction to absurdity, a theorem of fixed-time stability is established and a high-precision estimation of the settling-time is given.