Sentence examples for core theorem from inspiring English sources

Mursaleen [13] has defined and characterized the notion of almost strong regularity of four-dimensional matrices and applied these matrices to establish a core theorem (also see [14]).

Fridy and Orhan (Proc. Am. Math. Soc. 125(19973625-3631, 1997) introduced the concepts of statistical boundedness, statistical limit superior, statistical limit inferior, and they established an analog of Knopp's Core Theorem.

They complete the paper by a nice section including some core theorems related to the matrix classes on/in the new sequence space f ˜.

As an extension of the notion of almost convergence, Kayaduman and Şengönül [12, 13] defined Cesàro and Riesz almost convergence and established related core theorems.

The main results are given in Section 3. We prove that under assumptions, for each problem (1.1), (1.2) has a sequential solution and that any sequential solution is either a positive solution or a pseudo-dead-core solution or a dead-core solution (Theorem 3.1).

At its core, Bayes's theorem depends upon an ingenious turnabout: If you want to assess the strength of your hypothesis given the evidence, you must also assess the strength of the evidence given your hypothesis.

The core idea of Theorem 3 is to derive the tractable robust counterparts of (operatorname{SLVI}(l,u,F)).

(2.1e) captures one core message of Bayes' Theorem for theories of confirmation.

\(\qed\) Theorem (Gärdenfors' Triviality Theorem).

A relevant result for our game is the following: Theorem 1: The core of the game with utility function (10) is not empty.

The definition of the exterior derivative d f ( x ) = ∑ i ( − 1 ) i f ( x 0, …, x ˆ i, …, x k ) = f ( δ x ) is already the Stokes theorem in its core because for a k-simplex x, the boundary δ x = ⋃ i ( x 0, …, x ˆ i, …, x k ) is the union of ( k − 1 ) -dimensional simplices in x, which form the boundary of x.