Two-scale convergence is an important tool in homogenization theory. The contribution deals with its alternative definition based on two-scale mapping and transform. It removes the problems with choice of the space of admissible test functions and simplifies the proofs.

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings respect to simulation function in complete metric space. An illustrative example is furnished validate our main result. Our result extends the M. S. Khan et al. [15]. As application, provide existence soluti...

We propose a type of admissible-region analysis for track initiation in multisatellite problems when angles are the primary observable. For a specified rectangular partition in the space of orbital elements, we present explicit upper and lower bounds, and other constraints, for the values of range and range rate that will lead to initial orbit hypotheses (data association hypotheses) associated...

In the Mott insulating phase of the transition metal oxides, the effective orbital-orbital interaction is directional both in orbital space and in real space. We discuss a classical realization of directional coupling in two dimensions. Despite extensive degeneracy of the ground state, the model exhibits partial orbital ordering in the form of directional ordering of fluctuations at low tempera...

We demonstrate the existence of an orbital Coulomb phase as the exact ground state of a p-orbital exchange Hamiltonian on the diamond lattice. The Coulomb phase is an emergent state characterized by algebraic dipolar correlations and a gauge structure resulting from local constraints (ice rules) of the underlying lattice models. For most ice models on the pyrochlore lattice, these local constra...

The existence of admissible vectors for a locally compact group is closely related to the group's profile. In the compact groups, according to Peter-weyl theorem, every irreducible representation has admissible vector. In this paper, the conditions under which the inverse of this case is being investigated has been investigated. Conditions such as views that are admissible and stable will get c...

In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finall...

The present mini-review aims first at an introduction to two thermodynamic essentials of the binding between the influenza A virus hemagglutinin (HA) and the cell surface receptor sialoside, (1) the equilibrium 1:1 binding of the HA with the sialoside, (2) the polyvalent effect of the HA binding to the polyvalent sialoside. Second, the review introduces the fragment molecular orbital (FMO) stud...

purpose : to report a patient with orbital pseudotumor masquerading as orbital cellulitis case report : a 42-year-old woman was referred to orbit and oculoplastic clinic with 6 days history of left orbital pain, proptosis, lid edema and fever. clinical finding included severe lid edema, chemosis, conjunctival injection and severe restriction in extraocular motility. she was diagnosed as orbital...