Subsequent drawing of anisotropic viscous-plastic material

The proportions for stress computation at the subsequent drawing of anisotropic billet under conditions of viscoplasticity are obtained. The equilibrium equations in stresses and a linear condition of fluidity are used. The impact of billet bending upon radial areas of a matrix and clamping and also friction is taken into account. The assessment of billet material damageability is carried out.

Existence of ground state solutions for an asymptotically 2-linear fractional Schrödinger–Poisson system

In this paper, we investigate the following fractional Schrödinger–Poisson system: $$\left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s} u + u + \phi u = f(u), & \text{in } \mathbb{R}^{3}, \\ (-\Delta)^{t} \phi= u^{2}, & \text{in } \mathbb{R}^{3}, \end{array}\displaystyle \right . $${(−Δ)su+u+ϕu=f(u),in R3,(−Δ)tϕ=u2,in R3, where $\frac{3}{4} < s < 1$34<s<1, $\frac{1}{2} < t < 1$12<t<1, and f is a continuous function, which is superlinear at zero, with $f(\tau) \tau \ge3 F(\tau) \ge0$f(τ)τ≥3F(τ)≥0, $F(\tau) = \int_{0}^{\tau} f(s) \,ds$F(τ)=∫0τf(s)ds, $\tau \in\mathbb{R}$τ∈R. We prove that the system admits a ground state solution under the asymptotically 2-linear condition. The result here extends the existing study.

Research on Off-Grid Photovoltaic System Under Non-Linear Condition Using Solar GIS Tool

This paper proposes a novel method for the analysis of photovoltaic system under unreliable condition. The photovoltaic system is the combination of large number of PV cells connected in series. The photovoltaic system plays a great role in reducing the global warming and maintaining the ecological balance by promoting to the green environment. The photovoltaic system replaces the conventional method of generating electricity to the non-conventional method of generating electricity. This paper focus on distinguishing the performance of photovoltaic system under uniform condition and non-uniform unreliable condition through the solar GIS tool.

Square-free values of multivariate polynomials over function fields in linear sparse sets

Let [Formula: see text] be a square-free polynomial where [Formula: see text] is a field of [Formula: see text] elements. We view [Formula: see text] as a polynomial in the variable [Formula: see text] with coefficients in the ring [Formula: see text]. We study square-free values of [Formula: see text] in sparse subsets of [Formula: see text] which are given by a linear condition. The motivation for our study is an analogue problem of representing square-free integers by integer polynomials, where it is conjectured that setting aside some simple exceptional cases, a square-free polynomial [Formula: see text] takes infinitely many square-free values. Let [Formula: see text] be co-prime to [Formula: see text], and let [Formula: see text]. A consequence of the main result we show is that if [Formula: see text] is sufficiently large with respect to [Formula: see text] and [Formula: see text], then there exist [Formula: see text] such that [Formula: see text] is square-free. Moreover, as [Formula: see text], the last is true for almost all [Formula: see text]. The main result shows that a similar result holds also for other cases. We then generalize the results to multivariate polynomials.

Influence of Word Clouds on Critical Thinking in Online Discussions: A Content Analysis

This article presents an exploratory research study about the influence of word clouds on critical thinking when they are incorporated into online discussions. In an online discussion, students were asked to critically analyze two speeches, being assigned to one of two conditions: one in which the text was linear, and one in which the text was presented in the form of word clouds. Discussions posts were coded in two blended sections of an undergraduate anthropology course to assess the type and frequency of critical thinking demonstrated therein. Students in the word cloud condition exhibited more instances of critical thinking than students in the linear condition, and more often paired articulation of thought with the citing of evidence. The paper concludes with recommendations for other educators interested in implementing a similar approach.