The analysis into the foundations of measurement involves, for any particular empirical relation structure, the formulation of a set of axioms that is sufficient to establish two types of theorems: an axiomatic representation theorem and a uniqueness theorem. An axiomatic representation theorem asserts ...
That may have given him the confidence that a slightly more “intrinsic” characterization (than Hilbert's) of a two-dimensional manifold was possible. Like Hilbert he characterized the structure of a two-dimensional manifold F by a system of neighbourhoods Up, each of which, U ⊂ F would...
I will focus on the fact that, for these creative mathematicians, the concept of structure is a functional concept, which has always a "strategic" creative function. The "big problem" here is Riemann Hypothesis (RH). Artin, Schmidt, Hasse, and Weil introduced an intermediary third world ...
"the postulational method was applied to geometry"- S.S.Stevens axiomatic同义词 adj. [数]公理的;自明的 self-explanatory axiomatic词源中文解释 "自证不疑的真理的本质",1797年,源自希腊语 axiomatikos,来自 axioma(属格 axiomatos); 参见 axiom。形式 axiomatical 可追溯至1580年代。
1. Introduction Nash's [26, 27] definition of equilibrium is insufficient in some respects; e.g. an equilibrium can use weakly dominated strategies, or yield an outcome different from the one predicted by backward induction in a game with perfect information. The literature on refinements aims ...
Synthetic Affine Space-Time Geometry This work is concerned with the geometrical structure of flat spacetimes, especially Minkowski spacetime. In Part 1 we develop synthetic or axiomatic repre... BH Mundy 被引量: 1发表: 1982年 Generalized axiomatic scale-space theory We have also described how ...
Using geometry as the primary example of the "axio Ulrich,Majer - 《Perspectives on Science Historical Philosophical Social》 被引量: 0发表: 2014年 Research on Function-Structure Mapping Method in Parametric Design Based on Axiomatic Principles Function requirements are mapped into a parametric model ...
of geometric/physical objects, we can construct (effective) Lagrange–Finsler, (dual) Hamilton–Cartan, and/or other type phase space and spacetime models. We cite also some results on Hamilton geometry for generalizations of standard physical theories and general relativity, GR, contained in Part ...
i) Mathematics is objective, its truths are universal, absolutely certain; it is abstract and independent of the human body, and transcends the reality of human beings; ii) Mathematics' efficiency as a scientific tool leads to the assumption that it exists in the physical structure of the unive...
According to CUF the displacement field of a 2D structure can be described as:u=Fτ·uττ=1,2,…,N+1where u is the displacement vector and N is order of the expansion. As already described in the previous section the development of Eq. (3) can follow two different approaches: Equiva...