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On the connection between Nonstandard Analysis and Constructive Analysis [PDF]
, 2013 Constructive Analysis and Nonstandard Analysis are often characterized as completely antipodal approaches to analysis. We discuss the possibility of capturing the central notion of Constructive Analysis (i.e.
Sanders, Sam
core
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Polymer Engineering &Science, EarlyView.Schematic of the in‐line rheometry setup and the evaluation of three distinct modeling frameworks (semiempirical, viscoelastic, and EOS) to predict viscosity reduction in diluted polyethylene melts via time‐concentration superposition (Illustration generated via ChatGPT).
Ernst Georg Viehböck +5 more
wiley +1 more source
Every countable model of set theory embeds into its own constructible universe
, 2014 The main theorem of this article is that every countable model of set theory M, including every well-founded model, is isomorphic to a submodel of its own constructible universe.
Aczel P. +3 more
core +2 more sources
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Large language models (LLMs) have made remarkable advances in natural language processing, demonstrating great potential in modelling structured sequences. However, adapting these capabilities to machine gaming tasks such as Go remains challenging due to limitations in strategy generalisation and optimisation efficiency.
Xiali Li +5 more
wiley +1 more source
The present situation in quantum theory and its merging with general relativity
, 2017 We discuss the problems of quantum theory (QT) complicating its merging with general relativity (GR). QT is treated as a general theory of micro-phenomena - a bunch of models.
Khrennikov, Andrei
core +1 more source
Integrating Merit and Equality to Address Gender Inequality at Work
Gender, Work &Organization, EarlyView.ABSTRACT Although the extant literature provides a comprehensive account of workplace gender inequalities, the mechanisms that produce inequalities, and the underlying assumptions and principles of those mechanisms, remain opaque. The concept of “merit,” although morally persuasive and ubiquitous in organizational contexts, is a significant point of ...
Paula McDonald +2 more
wiley +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
Never, Ever Getting Started: On Prospect Theory Without Commitment
Mathematical Finance, EarlyView.ABSTRACT Prospect theory is arguably the most prominent alternative to expected utility theory. We study the investment or gambling behavior of a prospect theory decision maker who is aware of his time‐inconsistency but lacks commitment. For the empirically relevant prospect theory specifications, we obtain the extreme prediction that such a decision ...
Sebastian Ebert, Philipp Strack
wiley +1 more source