We performed Second Harmonic Generation (SHG) imaging microscopy of endogeneous myosin-rich and collagen-rich tissues in amphibian and mammals. We determined the relative components of the macroscopic susceptibility tensor chi((2)) from polarization dependence of SHG intensity. The effective orientation angle theta(e) of the harmonophores has been determined for each protein. For myosin we foun...

Let V be a system of weights on a completely regular Hausdorff space and let B(E) be the topological vector space of all continuous linear operators on a Hausdorff topological vector space E. Let CV0(X,E) and CVb(X,E) be the nonlocally convex weighted spaces of continuous functions. In the present paper, we characterize compact multiplication operators Mψ on CV0 (X,E) ( or CVb(X,E)) induced by ...

The concept of a (δ, β)-irresolute function in topological spaces is introduced and studied. Some of their characteristic properties are considered. We also investigate the relationships between these classes of functions and other classes of non-continuous functions. AMS subject classifications: 54C10, 54D10

Kinetics of the deposition process of k -mers in the presence of desorption or/and diffusional relaxation of particles is studied by Monte Carlo method on a one-dimensional lattice. For reversible deposition of k-mers, we find that after the initial "jamming," a stretched exponential growth of the coverage theta(t) toward the steady-state value theta(eq) occurs, i.e., theta(eq)-theta(t) is prop...

In 1940, Ulam [1] proposed the famous Ulam stability problem of linear mappings. In 1941, Hyers [2] considered the case of approximately additive mappings f : E→ E′, where E and E′ are Banach spaces and f satisfies Hyers inequality ‖ f (x+ y)− f (x)− f (y)‖ ≤ ε for all x, y ∈ E. It was shown that the limit L(x) = limn→∞ 2−n f (2nx) exists for all x ∈ E and that L : E→ E′ is the unique additive ...

Recently, a novel numerical computation on quantum mechanics by using bootstrap method was proposed Han, Hartnoll, and Kruthoff. We consider whether this works in systems with $\ensuremath{\theta}$-term, where the standard Monte-Carlo may fail due to sign problem. As starting point, we study of charged particle circle which constant gauge potential is counterpart $\ensuremath{\theta}$-term. fin...