In this paper, the concept of an (∈,∈∨qk)-intuitionistic fuzzy ideal of a hemiring, which is a generalization of the concept of an(∈,∈∨qk)-intuitionistic fuzzy ideal of a hemiring.. Also, we study some of their basic properties. Mathematics subject classification: 08A72 • 03F55 • 20M12

The rise in linear entropy of a subsystem in the N -atom JaynesCummings model is shown to be strongly influenced by the shape of the classical orbits of the underlying classical phase space: we find a one-to-one correspondence between maxima (minima) of the linear entropy and maxima (minima) of the expectation value of atomic excitation Jz. Since the expectation value of this operator can be vi...

Speech is a complex signal produced by a highly constrained articulation machinery. Neuro and psycholinguistic theories assert that speech can be decomposed into molecules of structured atoms. Although characterization of the atoms is controversial, the experiments support the notion of invariant speech codes governing speech production and perception. We exploit deep neural network (DNN) invar...

Using the Hilbert Uniqueness Method, we study the problem of exact controllability in Neumann boundary conditions for problems of transmission of the wave equation. We prove that this system is exactly controllable for all initial states in L( ) (H( ))0. 1. Introduction. Throughout this paper, let be a bounded domain (open, connected, and nonempty) in R(n 1) with a boundary ÿ=@ of class C, and ...

We provide explicit formulas for the maximum number qk(n) of disjoint subgraphs isomorphic to the k-dimensional hypercube in the n-dimensional Fibonacci cube Γn for small k, and prove that the limit of the ratio of such cubes to the number of vertices in Γn is 1 2k for arbitrary k. This settles a conjecture of Gravier, Mollard, Špacapan and Zemljič about the limiting behavior of qk(n).

BY P. ERDOS, University of Syracuse . [Received 27 July, 1948 .] 1 . The present note contains some disconnected remarks on diophatine approximations . First we collect a few well-known results about continued fractions, which we shall use later' . Let a be an irrational number, q, < q2 < . . . be the sequence of the denominators of its convergents . For almost all a we have fork > k,,(a), qk+,...