Browsing by Tema "Axiom"

Now showing 1 - 5 of 5

Closed Coupling Structure of Tensor Field Dynamics Complete Solution of Task 1 within the Phoenix Axiom
(European Organization for Nuclear Research, 2026) Karl Heinz Wipfler
This work provides the complete model-internal solution of the closed coupling structure of Tensor Field Dynamics within the current Phoenix Axiom. Its objective is to show that orbital dynamics, rotational dynamics, light deflection, Shapiro delay, and gravitational redshift do not arise from separate recipe blocks, but follow from the same canonical source structure. The document demonstrates that the static exterior solution is determined by exactly one effective exterior source strength and that field-optical effects do not introduce a second independent source, but appear as the canonical projection of the same TFD source. The coupling structure of the theory in the static exterior region is therefore mathematically closed, formulated as TFD-internal and audit-proof, and explicitly separated from later external comparison tasks with measurement data.
Closed Coupling Structure of Tensor Field Dynamics Complete Solution of Task 1 within the Phoenix Axiom
(European Organization for Nuclear Research, 2026) Karl Heinz Wipfler
This work provides the complete model-internal solution of the closed coupling structure of Tensor Field Dynamics within the current Phoenix Axiom. Its objective is to show that orbital dynamics, rotational dynamics, light deflection, Shapiro delay, and gravitational redshift do not arise from separate recipe blocks, but follow from the same canonical source structure. The document demonstrates that the static exterior solution is determined by exactly one effective exterior source strength and that field-optical effects do not introduce a second independent source, but appear as the canonical projection of the same TFD source. The coupling structure of the theory in the static exterior region is therefore mathematically closed, formulated as TFD-internal and audit-proof, and explicitly separated from later external comparison tasks with measurement data.
Low separation axioms via the diagonal
(Technical University of Valencia, 2008) María Luisa Colasante; Carlos Uzcátegui; Jorge Vielma
In the context of a generalized topology g on a set X, we give in this article characterizations of some separation axioms between T0 and T2 in terms of properties of the diagonal in X X.
Missing data and multidimensional analysis with the Alkire-Foster method: A literature review
(2026) Daniel Alejandro Revilla Cabrera
This article addresses the problem of missing data in measuring multidimensional poverty, with particular attention to its impact on the axiomatic validity of the Alkire-Foster method, regularly used to measure this broad concept of poverty. It argues that the absence of data is not purely a technical problem prone to generating bias, but can also compromise the identification of deprivation and violate some of the fundamental axioms of the method: monotonicity, decomposition by subgroups, and dimensional decomposition. Based on a critical review of the literature, four imputation approaches are compared: complete case analysis, multiple imputation by chained equations (MICE), matrix decomposition techniques (such as Soft-Impute), and Bayesian neural networks. Their strengths and limitations in relation to the preservation of the aforementioned axiomatic properties are discussed. In addition, arguments are presented in favor of a hybrid methodology that combines imputation algorithms with normative validation criteria to ensure ethical consistency and inferential robustness. The article concludes that the choice of imputation methods in social contexts should consider not only statistical efficiency but also structural compatibility with the theoretical model underlying the poverty measurement exercise. Future lines of research are proposed for the development of integrative frameworks that articulate imputation methods, respect for axioms, and use in public policy.
QUANTUM MECHANICS WITH DENSITY OPERATORS
(Elsevier BV, 1978) S. M. Moore