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Persistent link: https://www.econbiz.de/10012718431
I discuss my efforts concerning 3 crucial issues in the foundations of mathematics that are deeply connected with the …
Persistent link: https://www.econbiz.de/10012925402
In mathematics, singularity signifies a point at which a given mathematical function or its derivatives is not defined …. Omnipotent mathematics (OM) is an approach to analyze singularity in a mathematical framework. In this approach “zero” is a non … omnipotent mathematics. Here the economic input-output model has been used to showcase an economic singularity problem that can …
Persistent link: https://www.econbiz.de/10013018987
It is shown directions of biomechanics substantiation of implementation acrobatic rock-and-roll Fus-salto element taking into account concrete physical data of sportsmen. Mathematical model is developed for determination the influence on a quality of implementation of technical element of such...
Persistent link: https://www.econbiz.de/10013033457
article is devoted to Kant's theory of the construction of mathematical concepts and his understanding (substantiation) of … mathematics as cognition "through construction of concepts in intuition" [KrV, B 752] (see also: "to construct a concept means to … exhibit a priori the intuition corresponding to it"; [KrV, В 741]). Unlike the natural sciences the mathematics is an abstract …
Persistent link: https://www.econbiz.de/10013013403
We present some formal systems in the language of linearly ordered rings with finite sets whose nonlogical axioms are strictly mathematical, which correspond to polynomially bounded arithmetic. With an additional strictly mathematical axiom, the systems correspond to exponentially bounded arithmetic
Persistent link: https://www.econbiz.de/10012923090
The visco-elastic fluids in computational fluid mechanics (CFM) is an important problem to study. The simulation of the process of shear and elongation material has been successfully carried out in our previous reports (reference [1]). A mixed computational and mathematical approach in...
Persistent link: https://www.econbiz.de/10012923143
mathematics thoroughly, to derive some surprisingly new understanding of traffic-flow and capacity, which then help economize road …
Persistent link: https://www.econbiz.de/10013290668
The identification of bias in election results due to partisan gerrymandering and redistricting manipulation is important to preserve functioning democracy. Many methods have been proposed but none have been proven superior. After an overview of existing methods, the paper looks at the...
Persistent link: https://www.econbiz.de/10013293339
This work presents the rationale of multidimensional coordinate systems as the most effective visual tool to understand the behavior of any natural phenomenon from a multidimensional perspective. The main motivation behind the creation of multidimensional coordinate systems is to propose an...
Persistent link: https://www.econbiz.de/10014090820