Wideband spectrum sensing is becoming increasingly important to cognitive radio (CR) systems for exploiting spectral opportunities. This paper introduces a novel multi-rate sub-Nyquist spectrum sensing (MS) system that implements cooperative wideband spectrum sensing in a CR network. MS can detect the wideband spectrum using partial measurements without reconstructing the full frequency spectru...

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

We consider both primal and dual formulations of singular autonomous systems three different types fractional-order differential equations. present a comprehensive study which proves that by using the spectrum linear pencil, polynomial matrix first order, not pencil prime system, we will receive information for all properties its system. In addition, this spectrum, solutions can be obtained for...

The $B_3-L_2$ $Z^\prime$ model may explain some gross features of the fermion mass spectrum as well $b\rightarrow s \ell \ell$ anomalies. A TeV-scale physical scalar field associated with gauged $U(1)_{B_3-L_2}$ spontaneous symmetry breaking, flavon $\vartheta$, affects Higgs phenomenology via mixing. In this paper, we investigate collider field. and $W$ boson data are used to place bounds upon...

We show that if a finite simple group G isomorphic to PSLn(q) or PSUn(q), where either n 6= 4, or q is prime or even, acts on a vector space over a field of the defining characteristic of G, then the corresponding semidirect product contains an element whose order is distinct from every element order of G. As a consequence, we prove that the group PSLn(q), n 6= 4 or q prime or even, is recogniz...

It is shown that every commutative arithmetic ring R has λ-dimension ≤ 3. An example of a commutative Kaplansky ring with λ-dimension 3 is given. Moreover, if R satisfies one of the following conditions, semi-local, semi-prime, self f p-injective, zero-Krull dimensional, CF or FSI then λ-dim(R) ≤ 2. It is also shown that every zero-Krull dimensional commu-tative arithmetic ring is a Kaplansky r...

We study the topology of the prime spectrum of an algebra supporting a rational torus action. More precisely, we study inclusions between prime ideals that are torus-invariant using the H-stratification theory of Goodearl and Letzter on one hand and the theory of deleting derivations of Cauchon on the other. We apply the results obtained to the algebra of m × n generic quantum matrices to show ...

Let E(n) and T(m) for nonnegative integers n and m denote the Johnson–Wilson and the Ravenel spectra, respectively. Given a spectrum whose E(n)∗–homology is E(n)∗(T(m))/(v1, . . . , vn−1), then each homotopy group of it estimates the order of each homotopy group of LnT(m). We here study the E(n)–based Adams E2 –term of it and present that the determination of the E2 –term is unexpectedly comple...

0. Introduction 2 1. Stability and ranks 3 PART I: INDEPENDENCE 8 2. Forking 8 3. Indiscernible sets 9 4. Finite equivalence relations 12 5. Further properties of forking 16 6. An example of the use of forking 19 PART II: PRIME MODELS 22 7. General isolation notion 22 8. Examples of isolation notions 26 9. Spectrum of stability 27 10. a -prime models 28 11. Structure of a -saturated models 30 1...