Let (S,≤) be a strictly totally ordered monoid, R be a commutative ring and M be an R-module. We show the following results: (1) If (S,≤) satisfies the condition that 0 ≤ s for all s ∈ S, then the module [[MS,≤]] of generalized power series is a semi Hopfian [[RS,≤]]-module if and only if M is a semi Hopfian R-module; (2) If (S,≤) is artinian, then the generalized inverse polynomial module [MS,...

The paper presents the semi-active vibration control based on the Skyhook algorithm which benefits from the adaptively tuned inverse magnetorheological (MR) damper model. The structure of the inverse model consists of the atan function and a linear viscous damping component. The proposed algorithm was tested by simulation of the quarter-car suspension model subjected to multiple bump road excit...

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of t...

This paper proposes a reference signal extraction method for a semi-adaptive sound reproduction system based on semi-blind source separation (semi-BSS) under a noisy environment. Since the fluctuation of room transfer functions degrades the reproduced sound, we have proposed a semi-adaptive sound reproduction system that updates the inverse filters. However, in a noisy environment, it is diffic...

In this paper, we apply He’s semi-inverse method to establish a variational theory for the Boussinesq system. Based on this formulation, a solitary solution can be easily obtained using Ritz method. Moreover, the results are also compared with He’s homotopy perturbation method, Liao’s homotopy analysis method and homotopy padémethod. The results reveal that the proposed method is very effective...

In this paper we investigate inverse limits of two related parameterized families of upper semi-continuous set-valued functions. We include a theorem one consequence of which is that certain inverse limits with a single bonding function from one of these families are the closure of a topological ray (usually with indecomposable remainder). Also included is a theorem giving a new sufficient cond...

In this paper we propose a new composite fading model which assumes that the mean signal power of an η−μ signal envelope follows an inverse gamma distribution. The inverse gamma distribution has a simple relationship with the gamma distribution and can be used to model shadowed fading due to its semi heavy-tailed characteristics. To demonstrate the utility of the new η−μ / inverse gamma composi...

This paper is the continuation of [4], where Victor Guillemin and I proved the following result: the Taylor expansion of the potential V (x) (x ∈ R) at a non degenerate critical point x0 of V , satisfying V (x0) 6= 0, is determined by the semi-classical spectrum of the associated Schrödinger operator near the corresponding critical value V (x0). Here, I prove results which are stronger in some ...