For positive rank r elliptic curves E(Q), we employ ideal class pairingsE(Q)×E−D(Q)→CL(−D), for quadratic twists E−D(Q) with a suitable “small y-height” rational point, to obtain explicit number lower bounds that improve on earlier work by the authors. E(a):y2=x3−a, r(a), this givesh(−D)≥110⋅|Etor(Q)|RQ(E)⋅πr(a)22r(a)Γ(r(a)2+1)⋅log⁡(D)r(a)2log⁡log⁡D, representing general improvement classical b...

We define a discrete version of the bilinear spherical maximal function, and show $$l^{p}(\mathbb {Z}^d)\times l^{q}(\mathbb {Z}^d) \rightarrow l^{r}(\mathbb {Z}^d)$$ bounds for $$d \ge 3$$ , $$\frac{1}{p} + \frac{1}{q} \frac{1}{r}$$ $$r>\frac{d}{d-2}$$ $$p,q\ge 1$$ . Due to interpolation, key estimate is an l^{\infty }(\mathbb l^{p}(\mathbb bound, which holds when $$p>\frac{d}{d-2}$$ A feature...

Abstract Analogously to primes in arithmetic progressions large moduli, we can study that are totally split extensions of ${\mathbb {Q}}$ high degree. Motivated by a question Kowalski focus on the {Q}}(E[d])$ obtained adjoining coordinates $d$-torsion points non-CM elliptic curve $E/{\mathbb {Q}}$. We show for almost all integers $d$ there exists and prime $p<|\text {Gal}({\mathbb {Q}}(E...

We evaluated the activity of quinupristin-dalfopristin (Q-D) against three clinical strains of Staphylococcus aureus susceptible to Q (MIC, 8 microg/ml) and Q-D (MICs, 0.5 to 1 microg/ml) but displaying various levels of susceptibility to D. D was active against S. aureus HM 1054 (MIC, 4 microg/ml) and had reduced activity against S. aureus RP 13 and S. aureus N 95 (MICs, 32 and 64 microg/ml, r...

This paper presents a finite element method (FEM)-based model, which describes the magnetic circuit of BMW i3 traction machine. The model has been reconstructed based on data available in public domain. reader is provided with numerical regarding flux linkage surfaces d- and q-axes, as well all information needed to develop space-vector machine steady-state, taking into consideration non-linear...

The purpose of this study is to design a real-time current predictive control for wind energy conversion system (WECS) using doubly-fed induction generator (DFIG). A emulator and test bench assessing strategies were conceptualized. DSPACE DS1104 board served as the foundation emulation system. While power indirectly regulated via currents, latter controlled directly by control. Using discrete t...

A finite automaton .d with a distance function d is a sextuple, (C, Q, M, S, F, d), such that C is the input alphabet, Q is the finite set of states, M: Q x C -+ 2Q is the transition function, S c Q and F c Q are the sets of initial and final states, respectively, d: Q x C x Q -+ (0, 1, co } is the distance function, where co denotes infinity, and d satisfies the following: for any (q,a,q’)E Q ...

We deene a dyadic counterpart Q d p of Q p , and study some relations between Q p and Q d p. For example, a function on T belongs to Q p if and only if (almost) all its translates belong to Q d p. Conversely, functions in Q p may be obtained by averaging translates of functions in Q d p .

Using the Barrow entropy and considering timescale as IR cutoff, a new holographic dark energy model named agegraphic (BADE) was proposed. We use phase space analysis method to discuss evolution of universe in three different mode BADE (Q=0; Q=3?H(?m+?D); Q=H(??m+??D)). find attractor which represents energy-dominated era exists all cases. In case Q=0 Q=H(??m+??D) with ?=0, can behave cosmologi...

Given a tree T, let q(T) be the minimum number of distinct eigenvalues in symmetric matrix whose underlying graph is T. It well known that q(T)≥d(T)+1, where d(T) diameter and T said to diminimal if q(T)=d(T)+1. In this paper, we present families trees any fixed diameter. Our proof constructive, allowing us compute, for d these families, M with spectrum has exactly d+1 eigenvalues.