β-AMINOCROTONONITRILE: I. GEOMETRICAL ISOMERISM AND SOME REACTIONS

Some geometrical properties of the oscillator group

‎We consider the oscillator group equipped with‎ ‎a biinvariant Lorentzian metric‎. ‎Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional‎ ‎restricted to vector fields‎. ‎Left-invariant vector fields defining harmonic maps are...

On the Geometrical Thermodynamics of Chemical Reactions

Abstract. The formal structure of geometrical thermodynamics is reviewed with particular emphasis on the geometry of equilibria submanifolds. On these submanifolds thermodynamic metrics are defined as the Hessian of thermodynamic potentials. Links between geometry and thermodynamics are explored for single and multiple component, closed and open systems. For single component, closed thermodynam...

Electromagnetic Scintillation I. Geometrical Optics

Coset codes-I: Introduction and geometrical classification

Practically all known good constructive coding techniques for band-limited channels, including lattice codes and various recently proposed trellis-coded modulation schemes, can be characterized as coset codes. A coset code is defined by a lattice partition A / A and by a binary encoder C that selects a sequence of cosets of the lattice A'. The fundamental coding gain of a coset code, as well as...

Some new results in multiphase geometrical optics

In order to accommodate solutions with multiple phases, corresponding to crossing rays, we formulate geometrical opties for the scalar wave équation as a kinetic transport équation set in phase space. If the maximum number of phases is finite and known a priori we can recover the exact multiphase solution from an associated System of moment équations, closed by an assumption on the form of the ...