V. Shapiro, On the derivatives of quaternionic functions along two-dimensional planes. To appear in Adv. Appl. Clifford Algebr.M.E. Luna-Elizarrarás, M.A. Macías-Cedeño, M. V. Shapiro, On the derivatives of quaternionic functions along two-dimensional planes. To appear in Adv. Appl...
227-8). The early 20th century with its disputes on set theory and logic was the great age for paradoxes. Amongst the antinomies discovered then were those of BURALI-FORTI, RUSSELL and RICHARD.Logical and semantic paradoxes. F. P. Ramsey pointed out that the "contradictions fall into two ...
z − z0 = r exp(iϑ) the derivatives Pr and Qr of the real and imaginary parts of f exist at r = 0 . Cor.: 2 A function f of quaternion variable h=a+ib... z − z0 = r exp(iϑ) the derivatives Pr and Qr of the real and imaginary parts of f exist at r = 0 ...
In: Field theory and non-equilibriumstatistical mechanics” lectures given by John Cardy at the LMS/EPSRC “methods of non-equilibrium statistical mechanics in turbulence” school, University of Warwick from 10-14 July (2006) Anderson, P.W.: Plasmons, Gauge Invariance, and Mass. Phys. Rev. ...
A Toeplitz-like matrix has naturally occurred in the construction of iteration functions for finding zeroes of an analytic function. In this note, we study the properties of a Toeplitz-like matrix, and its relationship to the well known Toeplitz matrix involving normalized derivatives of an analytic...
In this appendix we avoid these complexities and sketch the derivation of the dynamical system for the case with a discrete number of burners using multiple scales theory. We begin by considering the wave equation:(A.1)∂2p′∂t2+α∂p′∂t−c¯2R2∂2p′∂θ2=(γ−1)∑m...
Scattering Study of Fermions due to Double Dirac Delta Potential in Quaternionic Relativistic Quantum Mechanics where f is a function of the position vector x and [delta] (x - x') is the Dirac delta function. Also, n is the volume of the integral that contains x. Impact Behavior of a ...
This short paper considers the general Riccati matrix differential equation. It reviews and extends results on the characterization and existence of equili... J Medanic - 《IEEE Transactions on Automatic Control》 被引量: 102发表: 1982年 Geometric theory of singularities of solutions of nonlinear di...
This can be seen as dual to the above mentioned generalisation of the Weierstrass-Enneper representation. Harmonic morphisms are the much studied horizontally conformal harmonic maps. For an introduction to the theory we recommend the book [2], by Baird and Wood, and the regularly updated online...
The central events of this period in analytical number theory are the creation of the sieves of Yu.V. Linnik and A. Selberg, a new method of evaluating character sums invented by D.A. Burgess, the proof of the α+β-conjecture by...