Search results for "arithmetic"
showing 10 items of 271 documents
Fuzziness: Came for the View, Stayed for the Same
2013
The first time I came across Fuzzy Sets, my first point of contact with Soft Computing, I was a young and inexperienced student of Computer Science in my hometown University. I had just completed the first semester, and as an aside of an image processing curriculum a loud-spoken, very kinetic lecturer spent a couple of hours introducing us to the mysteries of the idea of degree and Fuzzy arithmetic. The whole thing had a sort of secret sect bent, something like the secret tools that the powers to be don’t want you to know and use – a probably unwitting attitude I have seen many times in the community and that has harmed more than helped, but that on an unexperienced and young student as mys…
On Real and Rational Characters in Blocks
2017
Abstract The principal $p$-block of a finite group $G$ contains only one real-valued irreducible ordinary character exactly when $G/{{\bf O}_{p'}(G)}$ has odd order. For $p \ne 3$, the same happens with rational-valued characters. We also prove an analogue for $p$-Brauer characters with $p \geq 3$.
Cultural transposition: Italian didactic experiences inspired by Chinese and Russian perspectives on whole number arithmetic
2019
The paper presents some reflections and activities developed by researchers and teachers involved in teacher education programs on cultural transposition. The construct of cultural transposition is presented as a condition for decentralizing the didactic practice of a specific cultural context through contact with other didactic practices of different cultural contexts. We discuss the background theoretical issues of this approach and also give an analysis of two examples of cultural transposition experiences carried out in Italy. In particular, by means of qualitative analysis of some excerpts, discussions, and interviews, we show that the contact with different perspectives coming from Ch…
A comparison theorem for the first Dirichlet eigenvalue of a domain in a Kaehler submanifold
1994
AbstractWe give a sharp lower bound for the first eigenvalue of the Dirichlet eigenvalue problem on a domain of a complex submanifold of a Kaehler manifold with curvature bounded from above. The bound on the first eigenvalue is given as a function of the extrinsic outer radius and the bounds on the curvature, and it is attained only on geodesic spheres of a space of constant holomorphic sectional curvature embedded in the Kaehler manifold as a totally geodesic submanifold.
Transformation of UML models to CSP : a case study for graph transformation tools
2008
Graph transformation provides an intuitive mechanism for capturing model transformations. In the current paper, we investigate and compare various graph transformation tools using a compact practical model transformation case study carried out as part of the AGTIVE 2007 Tool Contest [22]. The aim of this case study is to generate formal CSP processes from high-level UML activity diagrams, which enables to carry out mathematical analysis of the system under design.
From Arithmetic to Logic based AI: A Comparative Analysis of Neural Networks and Tsetlin Machine
2020
Neural networks constitute a well-established design method for current and future generations of artificial intelligence. They depends on regressed arithmetic between perceptrons organized in multiple layers to derive a set of weights that can be used for classification or prediction. Over the past few decades, significant progress has been made in low-complexity designs enabled by powerful hardware/software ecosystems. Built on the foundations of finite-state automata and game theory, Tsetlin Machine is increasingly gaining momentum as an emerging artificial intelligence design method. It is fundamentally based on propositional logic based formulation using booleanized input features. Rec…
Visualization2.mov
2019
movie representing the subtraction hologram derived from Eq. 3 in the paper
Visualization2.mov
2019
movie representing the subtraction hologram derived from Eq. 3 in the paper
Numerical evaluation of iterated integrals related to elliptic Feynman integrals
2021
We report on an implementation within GiNaC to evaluate iterated integrals related to elliptic Feynman integrals numerically to arbitrary precision within the region of convergence of the series expansion of the integrand. The implementation includes iterated integrals of modular forms as well as iterated integrals involving the Kronecker coefficient functions $g^{(k)}(z,\tau)$. For the Kronecker coefficient functions iterated integrals in $d\tau$ and $dz$ are implemented. This includes elliptic multiple polylogarithms.
Importance of Webpage Content and Design for Higher Education Export
2021
Higher education export is gaining more and more importance taking into account international competition, the benefits offered by the industry and demographic changes in many countries – the number of local students is reducing due to low birth rates and extensive emigration of young people. There are many academic publications on several aspects related to higher education export. The aim of research is to analyse foreign students’ evaluation on the importance of different organisations’ (universities, agencies dealing with higher education export, ministries) webpage content and design for higher education export. Research methods used: scientific literature review analysis, evaluation o…