Results 101 to 110 of about 10,381,547 (314)
On dibaric and evolution algebras [PDF]
arXiv, 2011 We find conditions on ideals of an algebra under which the algebra is dibaric. Dibaric algebras have not non-zero homomorphisms to the set of the real numbers. We introduce a concept of bq-homomorphism (which is given by two linear maps $f, g$ of the algebra to the set of the real numbers) and show that an algebra is dibaric if and only if it admits a ...
arxiv
A property of algebraic univoque numbers [PDF]
Acta Mathematica Hungarica, 2007 Consider the set $\uu$ of real numbers $q \ge 1$ for which only one sequence $(c_i)$ of integers $0 \le c_i \le q$ satisfies the equality $\sum_{i=1}^{\infty} c_i q^{-i} = 1$. In this note we show that the set of algebraic numbers in $\uu$ is dense in the closure $\uuu$ of $\uu$.
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On the Goldbach problem in an algebraic number field II
, 1960 The famous but yet unsolved problem of Goldbach is to decide whether the following conjecture is true: every even positive rational integer except 2 and 4 will be represented as the sum of two odd prime numbers.
Takayoshi Mitsui
semanticscholar +1 more source
AIChE Journal, EarlyView.Abstract The modernization of pharmaceutical manufacturing is driving a shift from traditional batch processing to continuous alternatives. Synthesizing end‐to‐end optimal (E2EO) manufacturing routes is crucial for the pharmaceutical industry, especially when considering multiple operating modes—such as batch, continuous, or hybrid (containing both ...
Yash Barhate +4 more
wiley +1 more source
Deformation of central charges, vertex operator algebras whose Griess algebras are Jordan algebras [PDF]
arXiv, 2008 If a vertex operator algebra $V=\oplus_{n=0}^{\infty}V_n$ satisfies $\dim V_0=1, V_1=0$, then $V_2$ has a commutative (nonassociative) algebra structure called Griess algebra. One of the typical examples of commutative (nonassociative) algebras is a Jordan algebra.
arxiv
Semi-algebraic Ramsey numbers [PDF]
Journal of Combinatorial Theory, Series B, 2016 Given a finite point set $P \subset \mathbb{R}^d$, a $k$-ary semi-algebraic relation $E$ on $P$ is the set of $k$-tuples of points in $P$, which is determined by a finite number of polynomial equations and inequalities in $kd$ real variables. The description complexity of such a relation is at most $t$ if the number of polynomials and their degrees are
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On The Adele Rings Of Algebraic Number Fields
, 1976 Let Q be the rational number field, Q the algebraic closure of Q and k (kaQ) an algebraic number field of finite degree. Let ζk(s) be the Dedekind zeta-function of k, kA the adele ring of k and Gk the Galois group of Q/k with Krull topology.
K. Komatsu
semanticscholar +1 more source
Process Resilience under Optimal Data Injection Attacks
AIChE Journal, EarlyView.Abstract In this article, we study the resilience of process systems in an information‐theoretic framework, from the perspective of an attacker capable of optimally constructing data injection attacks. The attack aims to distract the stationary distributions of process variables and stay stealthy, simultaneously.
Xiuzhen Ye, Wentao Tang
wiley +1 more source
Aspects of derivative causality in bond-graph models
MATEC Web of Conferences, 2017 The bond-graph method used in the analysis of system dynamics problems leads to a system containing a number of differential equations equal to the number of energy storing elements in integral causality and a number of algebraic equations equal to the ...
Ibănescu Radu, Ibănescu Mihaela
doaj +1 more source
Remarks on the approximation to an algebraic number by algebraic numbers. [PDF]
Michigan Mathematical Journal, 1986 Bombieri, E., Mueller, J.
openaire +3 more sources