A contour integration method, used to study the asymptotic of sums coefficients Dirichlet series, is based on Inversion formula. It allows you express sum in terms series. This approach gives effective estimates if abscissa absolute convergence

Given a rather general weight function n0, we derive a new cone beam transform inversion formula. The derivation is explicitly based on Grangeat’s formula (1990) and the classical 3D Radon transform inversion. The new formula is theoretically exact and is represented by a 2D integral. We show that if the source trajectory C is complete in the sense of Tuy (1983) (and satisfies two other very mi...

According to the reverse simulation model of embodied simulation theory, we recognize others' emotions by subtly mimicking their expressions, which allows us to feel the corresponding emotion through facial feedback. Previous studies examining whether facial mimicry is necessary for facial expression recognition were limited by potentially distracting manipulations intended to artificially rest...

We introduce the deformation of the Moebius strip and study its properties.

q-analogs of the Catalan numbers c', = (I/(n + I))($) are studied from the viewpoint of Lagrange inversion. The first, due to Carhtz, corresponds to the Andrews-Gessel-Garsia q-Lagrange inversion theory, satisfies a nice recurrence relation and counts inversions of Catalan words. The second, tracing back to Mac Mahon, arise from Krattenthaler's and Gessel and Stanton's q-Lagrange inversion form...