The first part of this writeup gives Riemann’s argument that the closely related function Z(s) = π−s/2Γ(s/2)ζ(s), Re(s) > 1 has a meromorphic continuation to the full s-plane, analytic except for simple poles at s = 0 and s = 1, and the continuation satisfies the functional equation Z(s) = Z(1− s), s ∈ C. The continuation is no longer defined by the sum. Essentially the same ideas apply to Diri...

Early diagnosis and management of strabismus is needed to avoid complications such as amblyopia. In this retrospective cohort study we reviewed the profile and surgical outcome of vertical strabismus patients attending a clinic in Yazd city in the Islamic Republic of Iran. From the medical files of 265 patients, 19.2% were found to have pure vertical deviation and 80.8% had combined horizontal ...

Thirty-one patients presented for surgical correction of unilateral hypotropia of the globe and blepharoptosis. The hypotropia and pseudoptosis were corrected by Knapp procedures. The Bell's phenomenon was thereby improved, allowing safe correction of the true ptosis, generally by an anterior levator resection whose magnitude depended on measured levator function.

We present the spherical harmonic equation for the gravitational potential inside the Earth. The equation satisfies Poisson's equation and converges uniformly. It obviates the need for downward continuation of the exterior potential with its attendant convergence difficulties but of course requires some knowledge of the Earth's density distribution. Equipped with the equation, we derive the gen...

Wave-equation migration velocity analysis is based on the linear relation that can be established between a perturbation in the migrated image and the corresponding perturbation in the slowness function. Our method formulates an objective function in the image space, in contrast with other wave-equation tomography techniques which formulate objective functions in the data space. We iteratively ...