I. The Complex Number System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 II. Elementary Properties and Examples of Analytic Fns. . . . . . . . . . . . . . . . 3 Differentiability and analyticity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 The Logarithm . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Volumetric registration of brains is required for inter-subject studies of functional and anatomical data. Intensity-driven registration typically results in some degree of misalignment of cortical and gyral folds. Increased statistical power in group studies may be achieved through improved alignment of cortical areas by using sulcal landmarks. In this paper we describe a new volumetric regist...

The irreducible representations (IRs) of the double cover of the Euclidean group with parity in three dimensions are subduced to the corresponding cubic space group. The reduction of these representations gives the mapping of continuum angular momentum states to the lattice in the case of non-zero linear momentum. The continuous states correspond to lattice states with the same momentum and con...

This paper contains two main results. The first is the existence of an equivariant Weil-Petersson geodesic in Teichmüller space for any choice of pseudo-Anosov mapping class. As a consequence one obtains a classification of the elements of the mapping class group as WeilPetersson isometries which is parallel to the Thurston classification. The second result concerns the asymptotic behavior of t...

A finite element method with an adaptive mesh redistribution technique is presented for solving the Kohn-Sham equation. The mesh redistribution strategy is based on the harmonic mapping, and the movement of grid points is partially controlled by the monitor function that depends on the gradient of the electron density. Compared with fixed meshes, both efficiency and accuracy of the solution are...

We use experimental search space mapping to examine the problem of selective nonlinear excitation with binary phase shaped femtosecond laser pulses. The search space maps represent a graphical view of all the possible solutions to the selective nonlinear excitation problem along with their experimental degrees of success. Using the information learned from these maps, we generate narrow lines w...

We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre–processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin approximations of advection–diffusion problems. Numerical experiments indicate that the resulting adaptive strategy can efficiently reduce the computed dis...

We use boson-fermion mapping to show that the single-particle momentum distribution in a one-dimensional gas of hard point-like bosons (Tonks gas) inside a harmonic trap decays as p at large momentum p. The relevant integrals expressing the one-body density matrix are evaluated for small numbers of particles in a simple Monte Carlo approach to test the extent of the asymptotic law and to illust...

Communicated by XXX Abstract. A mapping between stationary solutions of nonlinear Schödinger equations with real and complex potentials is constructed and a set of exact solutions with real energies are obtained for a large class of complex potentials. As specific examples we consider the case of the damped dynamics of a quantum harmonic oscillator and the case of dissipative periodic soliton s...