Results 131 to 140 of about 6,609,770 (304)
On the degree of a linear form in conjugates of an algebraic number
Illinois Journal of Mathematics, 2002 Let \(K\) be a field of characteristic \(0\). Let \(\alpha\) be algebraic of degree \(d\) over \(K\) with conjugates \(\alpha_1 = \alpha, \alpha_2, \dots, \alpha_d\). The paper considers the possible degrees of a linear form \(k_1 \alpha_1 + \dots + k_d \alpha_d\) with \(k_i \in K\) and a monomial \(\alpha_1^{q_1} \cdots \alpha_d^{q_d}\) with \(q_1 ...
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Controllability and Observability Conditions for Impulsive DAEs on Time Scales
Asian Journal of Control, EarlyView.ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus +3 more
wiley +1 more source
Linear forms at a basis of an algebraic number field
Journal of Number Theory, 2012 For a real number \(x\), let us denote \(\|x\|\) the distance between \(x\) and the nearest integer. \textit{Littlewood conjecture} asserts that: \textit{for any real numbers \(\alpha\) and \(\beta\), one has \[ \inf_{q>0} q\|q\alpha\|\|q\beta\|=0, \] where \(q\) runs through the positive integers.} The \textit{dual form} of Littlewood conjecture is : \
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Subspace‐Based System Identification From Binary Measurements
Asian Journal of Control, EarlyView.ABSTRACT This paper is concerned with subspace identification from binary measurements for systems whose dynamical behavior can be splited into a deterministic and a stochastic subsystem. An identification algorithm is detailed. The main contribution of the proposed identification algorithm lies in the identification of both the deterministic subsystem
Alex Ali Mestrah +2 more
wiley +1 more source
The Structure of D-Derivations and Their Decomposition in Lie Algebras
MathematicsA D-derivation of a Lie algebra L is a linear map φ for which there exists a derivation D such that φ([x,y])=[φ(x),y]+[x,D(y)] for all x,y∈L. This paper presents explicit structural results concerning D-derivations in Lie algebras over arbitrary fields ...
Keli Zheng +3 more
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Neutrino Oscillation in a Minimal Length Spacetime
Astronomische Nachrichten, EarlyView.ABSTRACT We investigate how neutrino oscillations are modified in a non‐commutative spacetime characterized by a minimal length scale, described by the Quesne–Tkachuk algebra. By incorporating the algebra's deformation parameter β$$ \beta $$ into the effective neutrino mass, we derive the two‐flavor oscillation probability in this non‐commutative ...
Luísa Nadal‐Camargo +3 more
wiley +1 more source
MathematicsMathematical optimization, in both continuous and discrete forms, is well established and widely applied. This work addresses a gap in the literature by focusing on large-number optimization, where integers or fractions with hundreds of digits occur in ...
Josef Kallrath
doaj +1 more source
British Educational Research Journal, EarlyView.Abstract This paper presents an exploratory analysis of contemporary curricular and professional qualification policies in the Scottish education system, focusing on minimum qualification thresholds for mathematics teaching. The study examines how veteran secondary mathematics practitioners perceive the structural and pedagogical implications of using ...
Paul Argyle McDonald
wiley +1 more source
The Linear Algebra Survival Guide Illustrated with Mathematica
, 2015 The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing
Szabo, Fred
core
Automated Data‐Efficient Symbolic Regression for Interpretable Bioprocess Model Development
Biotechnology and Bioengineering, EarlyView.ABSTRACT Bioprocessing is central to the sustainable manufacture of pharmaceuticals, food products, and renewable chemicals. Consequently, developing high‐fidelity kinetic models to facilitate accurate process prediction, optimisation, and scale‐up is a top research priority.
Luca Riezzo +3 more
wiley +1 more source