115 years of the first russian wall math table

Math 115 HW #8 Solutions

(a) y′ = 1 + xy (b) y′ = −2xy (c) y′ = 1− 2xy Answer: If (b) were correct, then, when x = 0, we would have that y′ = 0. However, the slope of the tangent line is clearly positive when x = 0 in the picture, so (b) cannot be correct. If (a) were correct, then y′ would be positive for all positive values of x. However, the slope of the tangent line is clearly negative for most positive x, so (a) c...

Theor. and Math. Physics (russian)

Minimal surfaces in multidimensional spaces naturally arise as classical trajectories of relativistic strings with Lagrangians suggested by Nambu (see [1]) and by Polyakov (see [2]). From geometric point of view these are surfaces of zero mean curvature. Their immersion into environment space often is given by the equations integrable by means of inverse scattering method (see [3–5]). Minimal s...

Math - Net . Ru All Russian mathematical portal

Math-Net.Ru All Russian mathematical portal

Math - Net . Ru All Russian mathematical portal

The article is devoted to the description of Academician Arkady Kryazhimskiy’s life path. The facts of the scientific biography of Acad. Kryazhimskiy are presented with the emphasis on his outstanding contribution into the theory of dynamic inversion, the theory of differential games, and control theory. His personal talents in different spheres are also marked out.