Summary: There is a numerical and analytical approach to research of stress-strain state of an anisotropic composite finite element field with different boundary conditions on the surface. The problem is solved using a three-dimensional model of the theory of elasticity. The system of differential equations is reduced to one-dimensional problem through the use of spline-collocation in the two coordinate directions. Boundary value problem for a system of ordinary differential equations of higher order is decided with the stable numerical method of discrete orthogonalization.
Key words: stress-strain state, partial differential equations, method of spline collocation, method of discrete orthogonalization, anisotropic finite element region.
Annotation. An infinitely lifting method for making certain types of three-term equations, which is completely refuted by the ABC conjecture.
Keywords: three-term equation, the method of infinite growth, elementary aspect.
Summary: The methods of generating structural formulas and images offered to describe the shape of the nuclei in the unexcited state over the entire range of mass numbers, including isotopes and isomers.
Keywords: shape of nucleus, structural formula, 3D-graphics.