The theory of optical activity presented in an earlier paper has been applied to helical structures, obtaining a compact formula for the residue rotation [ m ' ] ^ . In particular, the theory has been applied to the a-helix, and this theory consists of two parts: firstly the calculation of the magnitude and orientation of the polarisability tensor ellipsoid of the peptide residue from the locat...

Yet each in itself – this was the uncanny, the antiorganic, the life-denying character of them all – each of them was absolutely symmetrical, icily regular in form. They were too regular, as substance adapted to life never was to this degree – the living principle shuddered at this perfect precision, found it deathly, the very marrow of death – Hans Castorp felt he understood now the reason why...

We establish a dichotomy for the rate of decay Cesàro averages correlations sufficiently regular functions typical interval exchange transformations (IET) which are not rigid rotations (for weak mixing had been previously established in works Katok–Stepin, Veech, and Avila–Forni). show that is either logarithmic or polynomial, according to whether IET rotation class (i.e., it can be obtained as...

A mathematical model is developed for the steady-state electric current flow through in a homogeneous isotropic conductor whose shape body of rotation. The rotation considered bounded by coordinate surfaces an orthogonal curvilinear system. equations Maxwell’s theory solid are used to formulate corresponding boundary value problem. studied conduction problem axisymmetric. determination steady m...

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

we study the notion of bounded approximate connes-amenability for‎ ‎dual banach algebras and characterize this type of algebras in terms‎ ‎of approximate diagonals‎. ‎we show that bounded approximate‎ ‎connes-amenability of dual banach algebras forces them to be unital‎. ‎for a separable dual banach algebra‎, ‎we prove that bounded‎ ‎approximate connes-amenability implies sequential approximate...