Results 61 to 70 of about 1,424 (233)
DNA Movies and Panspermia [PDF]
There are several ways that our species might try to send a message to another species separated from us by space and/or time. Synthetic biology might be used to write an epitaph to our species, or simply “Kilroy was here”, in the genome of a bacterium ...
Grondin, Yohann, Norris, Victor
core +1 more source
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
core +1 more source
Abstract Earlier this year, OpenAI released their GPTs framework, allowing users to set up Large Language Model (LLM)‐based personas, orchestrate them into a workflow and even offering their AI apps within an app store. This is the latest, and maybe the easiest to set up, in a string of agent‐based LLM orchestration platforms in the past year ...
Babak Hodjat
wiley +1 more source
Helix hyperoperation in teaching research
Interaction between sciences has always been an optimum. Within this frame of interdisciplinary approach, an attempt is made to apply a method, a mathematical model, used in the Hyperstructure Theory, in teaching and research procedure. More specifically,
Souzana Vougioukli
doaj +1 more source
The algebraic hyperstructure of elementary particles in physical theory
Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva +8 more
core +1 more source
Ideally, the development of future nanodevices requires a material that could exhibit multiple and reversible uptake/release of electrons. tStructural diversity and electron‐sponge‐like nature of polyoxometalates make them imperious contenders in designing next‐generation electrocatalytic water splitting and nonvolatile neuromorphic devices.
Waqar Ahmad +14 more
wiley +1 more source
Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi
This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah +2 more
doaj +1 more source
Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
wiley +1 more source
Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid
In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu +4 more
wiley +1 more source
Primitive hyperideals and hyperstructure spaces of hyperrings [PDF]
We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties ...
Karin-Therese Howell +2 more
doaj +1 more source

