Results 41 to 50 of about 5,333 (218)
Local Search and the Evolution of World Models
Topics in Cognitive Science, EarlyView., 2023 Abstract An open question regarding how people develop their models of the world is how new candidates are generated for consideration out of infinitely many possibilities. We discuss the role that evolutionary mechanisms play in this process. Specifically, we argue that when it comes to developing a global world model, innovation is necessarily ...
Neil R. Bramley +3 more
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Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series
MathematicsWe consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
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A Mean Value Theorem for General Dirichlet Series
The Quarterly Journal of MathematicsABSTRACT In this paper we obtain a mean value theorem for a general Dirichlet series $f(s)= \sum_{j=1}^\infty a_j n_j^{-s}$ with positive coefficients for which the counting function $A(x) = \sum_{n_{j}\le x}a_{j}$ satisfies $A(x)=\rho x + O(x^\beta)$ for some ρ > 0 and β < 1. We prove that $\frac1T\int_0^T |\,f(\sigma+it)|^
Frederik Broucke, Titus Hilberdink
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Generalized coefficients of the Dirichlet series
, 2021 The paper considers a method for converting a divergent Dirichlet series into a convergent Dirichlet series by directly converting the coefficients of the original series $1\rightarrowδ_{n}(s)$ for the Riemann Zeta function. In the first part of the paper, we study the properties of the coefficients $δ^*_n$ of a finite Dirichlet series for ...
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Business Strategy and the Environment, EarlyView.ABSTRACT Corporate environmental communication has become an essential aspect of modern business practices, as stakeholders increasingly demand transparency and accountability regarding sustainability efforts. Within this context, we examine whether firms use environmental communication on X/Twitter to offset weaker relative environmental performance ...
Ivan Russo +3 more
wiley +1 more source
An Introduction to Predictive Processing Models of Perception and Decision‐Making
Topics in Cognitive Science, EarlyView., 2023 Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
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Iteration of Composition Operators on small Bergman spaces of Dirichlet series
Concrete Operators, 2018 The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
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Business Strategy and the Environment, EarlyView.ABSTRACT Social media platforms today have become essential for consumer‐brand interactions, with visual content playing a pivotal role in shaping engagement and brand perception. Although text‐based user‐generated content (UGC) has been widely studied, the potential of visual UGC, particularly in the travel, tourism and hospitality (TTH) sector ...
Chinchu Abraham +2 more
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On Generalized Mean Values of An Entire Dirichlet Series
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1982 Let \(f(s)=\sum^{\infty}_{n=1}a_ ne^{s\lambda_ n}\), \((s=\sigma +it\), \(\lambda_{n+1}>\lambda_ n\), \(\lambda_ n\to \infty\) as \(n\to \infty)\), be an entire Dirichlet series whose exponents are subject to the condition \(\lim_{n\to \infty}\frac{\log n}{\lambda_ n ...
Srivastava, G. S., Kumar, N.
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Business Strategy and the Environment, EarlyView.ABSTRACT This study theorises and empirically tests performative purpose alignment theory (PPAT), which conceptualises corporate purpose as a performative artefact materialised through discursive and multimodal signals. To operationalise this, we introduced the SDG–Purpose Alignment Index (SPAI), a computational construct that quantifies the thematic ...
Augustine Okeke, Ifeanyi Ugbebor
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