Due to the kinematic reversibility of Stokes flow, a body executing a reciprocal motion (a motion in which the sequence of body configurations remains identical under time reversal) cannot propel itself in a viscous fluid in the limit of negligible inertia; this result is known as Purcell's scallop theorem. In this limit, the Reynolds numbers based on the fluid inertia and on the body inertia a...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...

This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the clas...

The purpose of this study was to investigate how reciprocal teaching and self-regulation affected reading comprehension of EFL learners at the high school level. 60 participants were selected and randomly assigned into two groups: an experimental group and a control group. The experimental group was taught through reciprocal teaching while the control group was taught through skill-based teachi...

We derive a result on the boundedness of the multiplicity of the singular values for Hankel operator, whose symbol is of the form F (z) := ∫ dλ(t ) z − t +R(z), where λ is a complex measure with infinitely many points in its support which is contained in the interval (−1,1), and whose argument has bounded variation there, while R is a rational function with all its poles inside of the unit disk...

A detailed structured backward error analysis for four kinds of Palindromic Polynomial Eigenvalue Problems (PPEP) ( d ∑ l=0 Alλ l ) x = 0, Ad−l = εA ⋆ l for l = 0, 1, . . . , ⌊d/2⌋, where ⋆ is one of the two actions: transpose and conjugate transpose, and ε ∈ {±1}. Each of them has its application background with the case ⋆ taking transpose and ε = 1 attracting a great deal of attention lately ...

In this paper, we consider families of time Markov fields (or reciprocal classes) which have the same bridges as a Brownian diffusion. We characterize each class as the set of solutions of an integration by parts formula on the space of continuous paths Cð1⁄20; 1 ;R Þ. Our techniques provide a characterization of gradient diffusions by a duality formula and, in case of reversibility, a generali...

Many applications give rise to structured, in particular T-palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P (λ)x = 0, where P (λ) is a T-palindromic matrix polynomial, it is convenient to use palindromic linearizations to ensure that the symmetries in the eigenvalues, elementary divisors, and minimal indices of P (λ) due to the palindromicity are preserved. I...

The interest in self-reciprocal polynomials in coding theory originated with Massey (1963, 1964), who has shown tha t whenever a self-reciprocal polynomial is used as a convolutional code-generating polynomial, the resulting code may be decoded backward us well as forward, with the same hardware and the same probabil i ty of decoding error. Let G( D ) = go 4glD 4g~D ~ 4" . . 4g , D ' , where n ...