This article provides further generalized Weierstrass relations for a spin manifold S immersed in a higher dimensional spin manifold M ; we show that kernel of a certain Dirac operator defined over S, which we called submanifold Dirac operator, gives the data of the immersion. In the derivation, we use a relation between the generalized Weierstrass relations and the Frobenious reciprocity of Cl...

The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with
 involution second kind. Some well-known results
 characterizing commutativity rings by have
 been using derivation.

I have argued that the assumption of incremental left-to-right syntactic structure-building can explain a number of otherwise puzzling contrasts in the results of syntactic constituency tests, such as coordination, binding, movement and deletion (Phillips, 1996, 2003). Briefly, non-root merger in a left-to-right derivation leads to systematic changes in constituency over the course of the deriv...

This paper considers the global synchronization of a stochastic version of coupled map lattices networks through an innovative stochastic adaptive linear quadratic pinning control methodology. In a stochastic network, each state receives only noisy measurement of its neighbors states. For such networks we derive a generalized Riccati solution that quantifies and incorporates uncertainty of the ...

A nomogram has been devised for the rapid derivation of left ventricular volumes from single-plane angiograms obtained in the 30 degrees right anterior oblique projection. The left ventricular volumes are derived from the use of the area-length formula of Dodge. The computed left ventricular volumes may then be adjusted to correspond to the actual volumes by an appropriate conversion chart.