Готові списки джерел за темами / Conceptual morphisms / Статті в журналах
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Статті в журналах з теми "Conceptual morphisms"

Автор: Grafiati
Опубліковано: 7 червня 2025
Оновлено: 2 серпня 2025

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1

Diego Lanzi. "Morphisms and economic modeling." Journal of Management and Science 12, no. 3 (2022): 144–48. http://dx.doi.org/10.26524/jms.12.77.

Повний текст джерела
Анотація:
Morphisms are widely used in several branches of scienti c inquiry, but not so much in economics. Nevertheless, many conceptual advan- tages in the economic modeling from using a categorical setting exist. In this paper, we discuss why morphisms could be successfully injected into economic modeling and, in particular, that allomorphisms, i.e., structure- altering maps that re-shape economic processes, can be useful for letting economics to be part of relational social science.
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2

Diaconescu, Răzvan. "Representing 3/2-Institutions as Stratified Institutions." Mathematics 10, no. 9 (2022): 1507. http://dx.doi.org/10.3390/math10091507.

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Анотація:
On the one hand, the extension of ordinary institution theory, known as the theory of stratified institutions, is a general axiomatic approach to model theories where the satisfaction is parameterized by states of the models. On the other hand, the theory of 3/2-institutions is an extension of ordinary institution theory that accommodates the partiality of the signature morphisms and its syntactic and semantic effects. The latter extension is motivated by applications to conceptual blending and software evolution. In this paper, we develop a general representation theorem of 3/2-institutions a
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3

Candela, Pablo, and Balázs Szegedy. "Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds." Journal für die reine und angewandte Mathematik (Crelles Journal) 2022, no. 789 (2022): 1–42. http://dx.doi.org/10.1515/crelle-2022-0016.

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Анотація:
Abstract We prove a general form of the regularity theorem for uniformity norms, and deduce an inverse theorem for these norms which holds for a class of compact nilspaces including all compact abelian groups, and also nilmanifolds; in particular we thus obtain the first non-abelian versions of such theorems. We derive these results from a general structure theorem for cubic couplings, thereby unifying these results with the Host–Kra Ergodic Structure Theorem. A unification of this kind had been propounded as a conceptual prospect by Host and Kra. Our work also provides new results on nilspace
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4

Konovalov, V. A. "APPROACH TO THE SYNTHESIS OF AN ALGORITHM PROCESSING ARTIFICIAL INTELLIGENCE DISTRIBUTIONS. Part 2." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 245 (November 2024): 54–63. https://doi.org/10.14489/vkit.2024.11.pp.054-063.

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Анотація:
The concept of “mathematical composition” is introduced into scientific circulation and considered as a theoretical-algorithmic abstraction, intended for processing the instructions of the algorithms of Markov networks with abnormal inference and artificial intelligence. In Markov networks with abnormal inference, compositions of сNnet-scheme of the Markov algorithm with indirect that cannot be considered normal are studied. A conceptual model of interaction between objects in the world around us, Markov networks with abnormal inference and artificial intelligence is synthesized. The compositi
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5

Ellerman, David. "Where Do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory." Foundations 5, no. 1 (2025): 10. https://doi.org/10.3390/foundations5010010.

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Анотація:
Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”. The theory is based on object-to-object “chimera morphisms”, “heteromorphisms”, or “hets” between the objects of different categories (e.g., the insertion of generators as a set-to-group map). After showing that heteromorphisms can be treated rigorously using the machinery of category theory (bifunctors), we show that all adjunctions between two c
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6

Konovalov, V. A. "APPROACH TO THE SYNTHESIS OF AN ALGORITHM PROCESSING ARTIFICIAL INTELLIGENCE DISTRIBUTIONS. Part 1." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 244 (October 2024): 50–58. https://doi.org/10.14489/vkit.2024.10.pp.050-058.

Повний текст джерела
Анотація:
An innovative approach to the synthesis of an algorithm that processes artificial intelligence instructions is proposed. This approach hypothesizes that Markov networks with abnormal inference can serve as data sources for artificial intelligence. These networks are considered as a separate type of algorithm specifically for artificial intelligence, because they have a way of transmitting data to it and obtaining knowledge from it. This algorithm specifies a set of instructions that are triggered by the self-cocking mechanism of the Markov network with abnormal inference. These networks themse
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7

MARTÍ -OLIET, NARCISO, and JOSÉ MESEGUER. "FROM PETRI NETS TO LINEAR LOGIC THROUGH CATEGORIES: A SURVEY." International Journal of Foundations of Computer Science 02, no. 04 (1991): 297–399. http://dx.doi.org/10.1142/s0129054191000182.

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Анотація:
Linear logic has been introduced by Girard as a logic of actions that seems well suited for concurrent computation. This paper surveys recent work on the applications of linear logic to concurrency, with special emphasis on Petri nets and on the use of categorical models. In particular, we present a synthesis of our previous work on the systematic correspondence between Petri nets, linear logic theories, and linear categories, and explain its relationships to work by many other authors. Throughout, we discuss the computational interpretation of the linear logic connectives and illustrate the i
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8

Черкашин, А. К. "Представительские функции в системах организационного управления: концептуальная метамодель". Информационные и математические технологии в науке и управлении, № 2(38) (21 травня 2025): 140–57. https://doi.org/10.25729/esi.2025.38.2.012.

Повний текст джерела
Анотація:
Проанализированы виды представительских функций управления общественной деятельностью в разных организационных масштабах, выделены их основные характеристики. Особенностью функционирования агентов в каналах взаимодействия автономных систем является относительная независимость их посреднической деятельности, высокая профессиональная подготовка и специализация. Представительские функции выражаются в представлении и защите прав и интересов доверителя преимущественно в форме координации действий, контроля и оперативного информирования. Имеет место заметное отчуждение прав и полномочий в пользу пре
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9

ESCARDÓ, MARTÍN, and PAULO OLIVA. "Selection functions, bar recursion and backward induction." Mathematical Structures in Computer Science 20, no. 2 (2010): 127–68. http://dx.doi.org/10.1017/s0960129509990351.

Повний текст джерела
Анотація:
Bar recursion arises in constructive mathematics, logic, proof theory and higher-type computability theory. We explain bar recursion in terms of sequential games, and show how it can be naturally understood as a generalisation of the principle of backward induction that arises in game theory. In summary, bar recursion calculates optimal plays and optimal strategies, which, for particular games of interest, amount to equilibria. We consider finite games and continuous countably infinite games, and relate the two. The above development is followed by a conceptual explanation of how the finite ve
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10

NICOLAIDIS, A. "CATEGORICAL FOUNDATION OF QUANTUM MECHANICS AND STRING THEORY." International Journal of Modern Physics A 24, no. 06 (2009): 1175–83. http://dx.doi.org/10.1142/s0217751x09043079.

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Анотація:
The unification of quantum mechanics and general relativity remains the primary goal of theoretical physics, with string theory appearing as the only plausible unifying scheme. In the present work, in a search of the conceptual foundations of string theory, we analyze the relational logic developed by C. S. Peirce in the late 19th century. The Peircean logic has the mathematical structure of a category with the relation Rij among two individual terms Si and Sj, serving as an arrow (or morphism). We introduce a realization of the corresponding categorical algebra of compositions, which naturall
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11

Ahrens, Benedikt, and Peter LeFanu Lumsdaine. "Displayed Categories." Logical Methods in Computer Science Volume 15, Issue 1 (March 5, 2019). https://doi.org/10.23638/lmcs-15(1:20)2019.

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Анотація:
We introduce and develop the notion of *displayed categories*. A displayed category over a category C is equivalent to "a category D and functor F : D --> C", but instead of having a single collection of "objects of D" with a map to the objects of C, the objects are given as a family indexed by objects of C, and similarly for the morphisms. This encapsulates a common way of building categories in practice, by starting with an existing category and adding extra data/properties to the objects and morphisms. The interest of this seemingly trivial reformu
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12

MOSS, SEAN, and PAOLO PERRONE. "A category-theoretic proof of the ergodic decomposition theorem." Ergodic Theory and Dynamical Systems, February 15, 2023, 1–27. http://dx.doi.org/10.1017/etds.2023.6.

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Анотація:
Abstract The ergodic decomposition theorem is a cornerstone result of dynamical systems and ergodic theory. It states that every invariant measure on a dynamical system is a mixture of ergodic ones. Here, we formulate and prove the theorem in terms of string diagrams, using the formalism of Markov categories. We recover the usual measure-theoretic statement by instantiating our result in the category of stochastic kernels. Along the way, we give a conceptual treatment of several concepts in the theory of deterministic and stochastic dynamical systems. In particular, ergodic measures appear ver
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13

Yeshuason. "Hom Morphism for Phenomenological Velocity." December 11, 2024. https://doi.org/10.5281/zenodo.14371825.

Повний текст джерела
Анотація:
Performing this assignment requires systematically addressing the tasks in your outlined "idea." Here's a detailed step-by-step execution of the problem with mathematical rigor, abstraction, and conceptual clarity: --- ## 1. Concept: Infinity Meanings \( A \) and \( B \) Let \( A \) and \( B \) represent abstract "infinity meanings." These could represent distinct infinite-dimensional spaces (e.g., Hilbert spaces, function spaces, cardinalities, or abstract invariants). Establish the basis for differentiating between \( A \) and \( B \) based on **"oneness meanings"** like **union** (\( A \cup
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14

Oconne, Poullo. "Естетика на концепта". Philosophical Alternatives XXXII, № 4 (2023). http://dx.doi.org/10.58945/cpce5903.

Повний текст джерела
Анотація:
The article analyzes Plato's theory of form, set forth in The Republic and critically developed in Parmenides, through the idea of conceptual morphism, the study of relations between incompatible categories and the articulation of existing coherent connections between them. Man’s fluid ability to create a common synthetic image, a picture of everything, even incompatible from a linguistic and categorical point of view, is a starting point for considering the concepts of hyperdynamics (according to Aristotle’s formulation of essence set forth in Categories) and virtuality; and accordingly to th
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15

Emmerson, Parker Yehushuason, and J. Buchanan Buchanan Ryan. "Potentiation vs. Permission: Formalizing Implicit Associations in Mathematical Structures." May 6, 2025. https://doi.org/10.5281/zenodo.15347483.

Повний текст джерела
Анотація:
This paper investigates the formalization of implicit associations within mathematical structures through the contrasting lenses of&nbsp;<em>potentiation</em>&nbsp;and&nbsp;<em>permission</em>. While implicit associations&mdash;underlying, often non-definitional relationships between structural elements&mdash;play a critical role in shaping mathematical behavior, their abstract nature has hindered systematic analysis. We propose a dual framework where&nbsp;<em>potentiation</em>&nbsp;characterizes the inherent capacity of elements to enable or amplify specific properties or operations, while&nb
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