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1. Modeling of synaptic information function: proposal of the multilingual translation approach

Creator:
Votruba, Z.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
synaptic information function, system, homogenisation, translation, identity, and multilingual environment
Language:
English
Description:
The topic of the presented paper is the discussion of possible approaches to the homogenization of synaptic information functions from the system-engineering point of view. Homogenization is a significant step to the construction of effective models that should enable understanding synaptic information functions. An attempt of a pragrnatic language translation within the niultilingual environrnent is proposed and briefly discussed.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. T-semiring pairs

Creator:
Jun, Jaiung, Mincheva, Kalina, and Rowen, Louis
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
pair, semiring, system, triple, shallow, algebraic, integral, affine, Ore, negation map, congruence, and module
Language:
English
Description:
We develop a general axiomatic theory of algebraic pairs, which simultaneously generalizes several algebraic structures, in order to bypass negation as much as feasible. We investigate several classical theorems and notions in this setting including fractions, integral extensions, and Hilbert's Nullstellensatz. Finally, we study a notion of growth in this context.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public