Although the importance of the nucleus raphe magnus in descending inhibitory control of nociception is clear, it is not known whether these effects are equivalent for different types of nociception. Thus, we examined the differential inhibition of behavioral responses evoked by A or C fiber thermonociceptor activation by electrical stimulation of nucleus raphe magnus neurons as well as the invo...

I. Theory 32 A. What is spin? 32 1. Stern-Gerlach Results . 34 2. Summary of Experimental Evidence for Spin 34 3. Spin 1/2 States 37 4. Vector Spin Operator 37 5. Commutation Relations 39 6. Matrix Representation of Spin 1/2 40 7. Rotation of Spin 1/2 40 8. Density Operator for a Spin 1/2 . . . 41 9. Uncertainty Relations 44 10. Coherence , 45 B. Theories for Calculating Spin Dynamics 45 1. Fey...

The topological solitons, or " skyrmions " , in a planar ferromagnet experience a Magnus force proportional to the product of their velocity and the surrounding magnetization. It has been suggested that the charged quasiparticles near filling factor ν = 1 in the GaAs quantum Hall effect are skyrmions. If so, we might expect this spin-induced Magnus force to act on the quasiparticles in addition...

Magnus integrators are a subset of geometric integration methods for the numerical solution of ordinary differential equations that conserve certain invariants in the numerical solution. This paper explores temporal parallelism of Magnus integrators, particularly in the context of nonlinear problems. The approach combines the concurrent computation of matrix commutators and exponentials within ...

We examine the problem of estimating the linear regression model's coefficients when there are uncertain linear restrictions about these parameters. Theorems are provided that generalize results obtained by Magnus and Durbin (1999) and Danilov and Magnus (2004).

The class of commutator-free Magnus integrators is known to provide a favourable alternative to standard Magnus integrators, in particular for large-scale applications arising in the time integration of non-autonomous linear evolution equations. A high-order commutator-free Magnus integrator is given by a composition of several exponentials that comprise certain linear combinations of the value...

A Table Errata is submitted concerning a formula in terms of a sum of two Gauss hypergeometric functions for the Ferrers function of the second kind (associated Legendre function of the second kind “on the cut”). This error occurs on p. 167 of Magnus, Oberhettinger & Soni (1966) Formulas and Theorems for the Special Functions of Mathematical Physics (third enlarged edition, Springer-Verlag, New...