This paper presents seven theorems and nine propositions that can be read as deconstructing integrating the continuity postulate under rubric of pioneering work Eilenberg, Wold, von Neumann–Morgenstern, Herstein–Milnor Debreu. Its point departure is fact adjective continuous applied to a function or binary relation does not acknowledge many meanings given concept it names, variety technical mat...

This paper presents four theorems that connect continuity postulates in mathematical economics to solvability axioms psychology, and ranks them under alternative supplementary assumptions. Theorem 1 connects notions of (full, separate, Wold, weak Archimedean, mixture) with those (restricted, unrestricted) the completeness transitivity a binary relation. 2 uses primitive notion separately contin...

Reduced Differental Transform Method (RDTM), which is one of the useful and effective numerical method, is applied to solve nonlinear time-dependent Foam Drainage Equation (FDE) with different initial conditions. We compare our method with the famous Adomian Decomposition and Laplace Decomposition Methods. The obtained results demonstrated that RDTM is a powerful tool for solving nonlinear part...

In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. Then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. More...

Simultaneous thermal analysis (STA) method has been applied to study decomposition reactions of AP under a flowing nitrogen atmosphere and static air. Results obtained indicate that a phase transformation occurs prior to the decomposition reaction. Decomposition takes place exothermally in two stages, first stage of decomposition could be suppressed by the controlled heating programme. Addi...

the byzantine art belogs to the world of christianity. the world of christianity has some characteristics which generally reflect the art works belonging to the christian era. any interpretation, critic and studies of the byzantine era art is possible only if it is done on the basis of knowing the world it belongs to. the core of chritian world is the sacred writ and the divine words. the adven...

in 2005, a. abdollahi and a. rejali, studied the relations betweenparadoxical decomposition and configuration for semigroups. in thepresent paper, we introduce one other concept of amenability typeon semigroups and groups which includes amenability of semigroupsand inner-amenability of groups. we have extend the previous knownresults to semigroups and groups satisfying this concept.