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Asynchronous communicating cellular automata: Formalization, robustness and equivalence

Information Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei, Qin   +4 more
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On Vasyliunas's equivalent conductivity formalism

Journal of Geophysical Research: Space Physics, 1992
The coupling of the ionosphere and magnetosphere can be understood by examining the field‐aligned currents passing between the two. In his treatment of the shielding of the inner magnetosphere, Vasyliunas [1972] developed a mathematical formalism for representing this coupling by a pseudo Ohm's law.
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A criterion for the equivalence of formal singularities

American Journal of Mathematics, 2002
We prove a generalization of the finite determinacy theorem for isolated singularities. The maximal ideal occuring in the finite determinacy theorem is replaced by any ideal annihilating the first cotangent cohomology of a formal singularity over a Noetherian ring. An analogous result holds for finitely generated modules.
Möhring, Konrad, van Straten, Duco
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Formal Correspondence vs. Translation Equivalence Revisited

Poetics Today, 1981
The two concepts which feature in the title of the present paper belong to two different, though (as will be shown) by no means unrelated, activities. Formal correspondence is a term used in contrastive analysis, while translation equivalence belongs to the metalanguage of translation.
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Equivalence between Lagrangian and Hamiltonian BRST formalisms

Journal of Mathematical Physics, 1993
For a wide class of gauge invariant systems, the equivalence between Lagrangian and Hamiltonian BRST formalisms is proven.
Nirov, Kh. S., Razumov, A. V.
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Group selection and kin selection: formally equivalent approaches

Trends in Ecology & Evolution, 2011
Inclusive fitness theory, summarised in Hamilton's rule, is a dominant explanation for the evolution of social behaviour. A parallel thread of evolutionary theory holds that selection between groups is also a candidate explanation for social evolution. The mathematical equivalence of these two approaches has long been known.
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On the Convergence of Formal Equivalence between Embeddings

The Annals of Mathematics, 1981
Let j: X --* W denote the morphism embedding the compact complex manifold X into the manifold W. The formal principle holds (for j) if, given any other embedding j': X'-W' together with a formal isomorphism between j and j', there is an actual isomorphism between j and j' (for definitions see ? 2.1).
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On Formal Equivalence Verification of Hardware

2008
When modeling the logic functionality, hardware can be viewed as a Finite State Machine (FSM) [7]. The power-up state of hardware cannot be determined uniquely, therefore the FSM modeling the hardware does not have an initial state (or a set of initial states).
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High-Level Formal Equivalence

2023
Theo Drane, M. V. Achutha Kiran Kumar
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Formalization of equivalence of recursively defined functions

Information Sciences, 1978
Abstract In this paper we use the fixpoint approach in formalizing the equivalence of recursively defined functions within the framework of predicate calculus. The results suggest some general mathematical techniques useful in proving equivalence of recursive programs.
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