This paper is devoted to show a couple of typicality results for weak solutions $v\in C^\theta$ the Euler equations, in case $\theta 0}W^{\frac{2\theta}{1-\theta} + \varepsilon,p}(I)$ any open $I \subset [0,T]$, are residual set $X_\theta$. This, particular, partially solves [9, Conjecture 1]. We also that smooth form nowhere dense space all $C^\theta$ solutions. The technique same and what rea...

In this paper, we mainly announce the result: every Siegel-Hilbert cuspform of weight divisible by 4h and of square-free level relative to certain congruence subgroups is a linear combination of theta series. I N T R O D U C T I O N Theta series provides one of the two most explicit ways to construct holomorphic modular forms. The other way is by Eisenstein series. A virtue of theta series is t...

The switched reluctance motors had gained more attention among the variable speed drives due to its inherent simplicity and low cost. It is an electronically commutated motor and need to be driven from a converter. The excitation of the different phases of the converter is dependent on the rotor position. This paper presents the simulation of the open loop control of a 6/4 switched reluctance m...

Given a finite alphabet $\mathbb{A}$ and primitive substitution $\theta:\mathbb{A}\to\mathbb{A}^\lambda$ (of constant length $\lambda$), let $(X_\theta,S)$ denote the corresponding dynamical system, where $X_{\theta}$ is closure of orbit via left shift $S$ fixed point natural extension $\theta$ to self-map $\mathbb{A}^{\mathbb{Z}}$. The main result paper that all continuous observables in are o...

The theta band oscillation in the hippocampus and medial entorhinal cortex carries a strong correlation with free movement throughout an environment. Recently several models of these oscillations and their relationship to spatially modulated cells in the hippocampus and entorhinal cortex have started to emerge. One area of focus in theta research has been how the speed of movement modulates the...

Abstract Given $$E_0, E_1, E, F$$ E 0 , 1 F rearrangement invariant spaces, $$a, \mathrm {b}, {b}_0, {b}_1$$ a b slowly varying functions and $$0\le \theta _0<...