In the preceding paper, we derived a kind of kinematical holographic relation (KHR) in the Lorentzcovariant Yang’s quantized space-time algebra (YSTA). It essentially reflects the fundamental nature of the noncommutative geometry of YSTA and its representation, that is, a definite kinematical reduction of spatial degrees of freedom in comparison with the ordinary lattice space. On the basis of ...

We consider the fundamental relation on a semihypergroup to interpret the lower and upper approximations as subsets of the fundamental semigroup / and we give some results in this connection. Also, we introduce the notion of a bi-hyperideal to study the relationship between approximations and bi-hyperideals.

We here explicitly write down the Feynman rules following the work of Dijkgraaf, Vafa and collaborators for N = 1 super Yang-Mills having products of SU groups as the gauge group and matter chiral superfields in adjoint, fundamental, and bi-fundamental representations without baryonic perturbations. As an application of this, we show expectation values calculated by these methods satisfy the Ko...

We propose a fundamental relation for a classical ideal gas that is valid at all temperatures with remarkable accuracy. All thermodynamical properties of classical ideal gases can be deduced from this relation at arbitrary temperature. The famous equation of state for an ideal classical gas is PV = NkBT . (1) Interestingly, a classical gas obeys this relation at all temperatures as long as it i...

In this article the notion of relation work will be put forward to describe efforts of connecting people and artefacts in a multitude of ways as part of facilitating global interaction and coordination in an engineering firm. Relation work can be seen as a parallel to the concept of articulation work. Articulation work describes efforts of coordination necessary in cooperative work, but, arguab...

In this paper, we defined the congruence relation and proved its fundamental properties on the base of some useful theorems. Then we proved the existence of solution and the number of incongruent solution to a linear congruence and the linear congruent equation class, in particular, we proved the Chinese Remainder Theorem. Finally, we defined the complete residue system and proved its fundament...

The laws of conservation of mass, momentum, and energy are applied to the compressible flow through a two-dimensional cascade of airfoils. A fundamental relation between the ultimate upstream and downstream flow angles, the inlet Mach number, and the pressure ratio across the cascade is derived. Comparison with the corresponding relation for incompressible flow shows large differences. The fund...