A method has been presented for finding the solution surface of the NPDE: c u   , bounded by a general space curve. The method is based on the geometric characteristics of the surface, and is called the “Cone-Slot Method”. It has been shown that such a surface can be obtained by movement of a cone inside the slot formed by the boundary space curve. An algorithm has been suggested on the basis...

We prove that the Vologodsky integral of a meromorphic one-form on curve over p-adic field with semi-stable reduction restrict to Coleman integrals rigid subdomains reducing components smooth part special fiber and connecting annuli differences these form harmonic cochain edges dual graph fiber. This determines completely. analyze behavior we explain results in case Tate elliptic curve.

The singularities of various liquid-state integral equations derived from the Ornstein-Zernike relation and its temperature derivatives, have been investigated in the liquid-vapor transition region. As a general feature, it has been found that the existence of a nonsolution curve on the vapor side of the phase diagram, on which both the direct and the total correlation functions become complex-...

We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS 5 × S 5. For any solution of the equations of motion we derive a spectral curve of degree 4 + 4. The curve consists purely of conserved quantities, all gauge degrees of freedom have been eliminated in this form. The most relevant quantities of the solution, such as its energy, can be expressed through certa...

This article is concerned with the representation of curves by means of integral invariants. In contrast to the classical differential invariants they have the advantage of being less sensitive with respect to noise. The integral invariant most common in use is the circular integral invariant. A major drawback of this curve descriptor, however, is the absence of any uniqueness result for this r...

In the present work, we have dealt with properties of associated curves a Frenet curve in R14. addition to this, define principal direction curve, B_1 -direction B_2- given by using integral 4-dimensional Minkowski space. Then introduce some characterizations for general helix and slant helix. Finally, new theorems obtained space-like time- like Also, an example is given.

introduction: nowadays,  considerable developments  in  the field  of  radiotherapy have  been  achieved.  they  include  the  advances  made  in  the  equipments  and  treatment  planning  techniques  which  require  highly complex calculations. such achievements have made it possible to treat cancer patients not only  with  higher  radiation  dose  but  also  with  higher  precision  and  con...

Vertical drains and stone columns which have been used in infrastructure construction for highways, ports, coastal regions, etc., provide significant benefits for improving soil characteristics such as reducing the drainage length and accelerating the consolidation process. So the investigation of the radial consolidation is inevitable. Soils may be subjected to cyclic loading such as silos, ta...

Norm-referenced testing is integral to the practice of psychological and educational testing. Originated in the work of modern statistics, this assessment method assumes that human traits and characteristics, such as intelligence, academic achievement, and behavior, are distributed along a normal probability or bell-shaped curve (hereafter, referred to as the normal curve). The normal curve rep...