Results 31 to 40 of about 13,980 (255)

On the algebraic structure of Weihrauch degrees

open access: yesLogical Methods in Computer Science, 2018
We introduce two new operations (compositional products and implication) on Weihrauch degrees, and investigate the overall algebraic structure. The validity of the various distributivity laws is studied and forms the basis for a comparison with similar structures such as residuated lattices and concurrent Kleene algebras.
Vasco Brattka, Arno Pauly
openaire   +5 more sources

A modified similarity degree for C*-algebras

open access: yesActa Scientiarum Mathematicarum, 2022
11 papes.
Hadwin, Don, Shen, Junhao
openaire   +2 more sources

Intelligent Tutoring Systems for Adult Learning in STEM Disciplines

open access: yesNew Directions for Adult and Continuing Education, EarlyView.
ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley   +1 more source

Similarity Sorting Method for Retrieval Results of Linear Algebra Formula [PDF]

open access: yesJisuanji gongcheng, 2018
Compared with the general mathematical formula,linear algebra formula has more complex structure and richer syntax and semantics,so it is more difficult to achieve its retrieval.Through the analysis of linear algebraic retrieval,several matching modes of
SUN Mengying,TIAN Xuedong
doaj   +1 more source

The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
doaj   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir   +2 more
wiley   +1 more source

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane   +3 more
wiley   +1 more source

Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials

open access: yesJournal of Numerical Analysis and Approximation Theory, 2019
E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
doaj   +7 more sources

Novel Approach to Degree, Balancedness, and Affine Equivalence of Boolean Functions and Construction of a Special Class of Non-Quadratic Balanced Boolean Functions

open access: yesCryptography
In several stream cipher designs, Boolean functions (BFs) play a crucial role as non-linear components, either serving as filtering functions or being used within the combining process.
Sunil Kumar   +3 more
doaj   +1 more source

Some examples of algebraic surfaces with canonical map of degree 20

open access: yesComptes Rendus. Mathématique, 2021
In this note, we construct two minimal surfaces of general type with geometric genus $ p_g = 3 $, irregularity $ q = 0 $, self-intersection of the canonical divisor $ K^2 = 20, 24 $ such that their canonical map is of degree $ 20 $.
Bin, Nguyen
doaj   +1 more source

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