Results 61 to 70 of about 44,187 (190)
Aspect perception and rule‐following in Wittgenstein's Philosophical Investigations
Abstract This paper aims to highlight a distinctive, projective, mode of aspect perception within Wittgenstein's philosophy that has gone underappreciated in the scholarly literature. Although it bears a family resemblance to other instances of the phenomenon Wittgenstein describes as ‘noticing an aspect’ in PI Part II §113, it is distinctive in that ...
James Connelly
wiley +1 more source
In the article, the formulas for orthographic parallel projection of 3D bodies on computer screen are derived using secondary school vector algebra. The spreadsheet implementation is demonstrated in six applications that project bodies with increasing ...
Jan Benacka
doaj
Radical cube zero selfinjective algebras of finite complexity
Abstract One of our main results is a classification of all the possible quivers of selfinjective radical cube zero finite-dimensional algebras over an algebraically closed field having finite complexity. In the paper (Erdmann and Solberg, 2011) [5] we classified all weakly symmetric algebras with support varieties via Hochschild cohomology ...
Erdmann, K, Solberg, O
openaire +3 more sources
Where Mathematical Symbols Come From
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
In the article, the formulas for orthographic parallel projection of 3D bodies on computer screen are derived using secondary school vector algebra. The spreadsheet implementation is demonstrated in six applications that project bodies with increasing ...
Jan Benacka
doaj
On the Fourier transform of measures in Besov spaces
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source
The matricial relaxation of a linear matrix inequality
Given linear matrix inequalities (LMIs) L_1 and L_2, it is natural to ask: (Q1) when does one dominate the other, that is, does L_1(X) PsD imply L_2(X) PsD? (Q2) when do they have the same solution set? Such questions can be NP-hard. This paper describes
A. Ben-Tal +16 more
core +1 more source
Hyperspectral Imaging: The Intelligent Eye to Uncover the Password of Plant Science
Hyperspectral imaging (HSI) has emerged as a powerful non‐destructive technique for characterisation of the plant phenotype and physiological traits. The ongoing development of cost‐effective hardware, coupled with standardised acquisition protocols and open‐access spectral libraries, is accelerating its integration with multi‐omics approaches to ...
Jingyan Song +17 more
wiley +1 more source
The Impact of a Digital Game on Spatial Reasoning for Elementary School Students
ABSTRACT Background Spatial reasoning is a crucial factor in students' mathematics performance. Providing training to elementary students in spatial reasoning is a promising way to improve their performance in mathematics. The use of digital games to assist instruction has been found to have a positive impact on students' spatial reasoning.
Di Liu, Linxuan Yi, Rui Kang
wiley +1 more source

