Assume ∅ < log−1 (|N |). Every student is aware that N → B′′. We show that F̃ ∈ M̃. In contrast, a central problem in tropical PDE is the derivation of points. Now it would be interesting to apply the techniques of [20] to semi-admissible functors.

With a change of variables the Abel transform gives the projection of a 2-D distribution with circular symmetry. Thus the Abel inversion formula allows one to determine the radial dependence of such a distribution from its projection. However, this inversion formula is very sensitive to noise in the projection data. When the projection data are derived from radiographic measurements, further di...

Recently, the first Abel map for a stable curve of genus g ≥ 2 has been constructed. Fix an integer d ≥ 1 and let C be a stable curve of compact type of genus g ≥ 2. We construct two d-th Abel maps for C, having different targets, and we compare the fibers of the two maps. As an application, we get a characterization of hyperelliptic stable curves of compact type with two components via the 2-n...

in this paper, we present a method for solving the rst kind abel integral equation. in thismethod, the rst kind abel integral equation is transformed to the second kind volterraintegral equation with a continuous kernel and a smooth deriving term expressed by weaklysingular integrals. by using sidi&apos;s sinm - transformation and modied navot-simpson&apos;sintegration rule, an algorithm for...

Radio occultation (RO) has been proven to be a powerful technique for ionospheric electron density profile (EDP) retrieval. The Abel inversion currently used in RO EDP retrieval has degraded performance in regions with large horizontal gradients because of an assumption of spherical symmetry as indicated by many studies. Some alternative methods have been proposed in the past; the global ionosp...

The morphic Abel-Jacobi map is the analogue of the classical Abel-Jacobi map one obtains by using Lawson and morphic (co)homology in place of the usual singular (co)homology. It thus gives a map from the group of r-cycles on a complex variety that are algebraically equivalent to zero to a certain “Jacobian” built from the Lawson homology groups viewed as inductive limits of mixed Hodge structur...

In this paper,The concept of a (∈,∈ ∨q)-fuzzy ideal in an ordered Abel-Grassmann groupoid is introduced. In partcicular, left regular ordered Abel-Grassmann groupoids are characterized by using the (∈ ,∈ ∨q)-fuzzy ideals.

Reconstructing images from ill-posed inverse problems often utilizes total variation regularization in order to recover discontinuities in the data while also removing noise and other artifacts. Total variation regularization has been successful in recovering images for (noisy) Abel transformed data, where object boundaries and data support will lead to sharp edges in the reconstructed image. I...

In this paper, we consider the number of 2-protected nodes in random digital trees. For tries, Gaither, Homma, Sellke and Ward (2012) and Gaither and Ward (2013) derived asymptotic expansions for mean and variance. We re-derive their results (with some corrections) and show their conjectured central limit theorem. This will be done by recent unified approaches by Fuchs, Hwang and Zacharovas (20...

We prove a Tauberian theorem to recover moderate oscillation of a real sequence u = (u n) out of Abel limitability of the sequence (V (1) n (Δu)) and some additional condition on the general control modulo of oscillatory behavior of integer order of u = (u n).