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The author has obtained a formula for the evaluation of hardness flat externally, statically indeterminate girders. To obtain the General solution the researcher uses the method of induction and the operators of the computer algebra system Maple. The forces in the rods was found by using cut nodes method, deflection – using Maxwell – Mohr integral. The article has also derived the formula for the horizontal displacement of the support. Some asymptotic properties of the solution are found.

The article describes the specifics of quantum-mechanical knowledge, which is spoken by the criterion of mathematization of conditions of any quantum-mechanical material point, the specific quantum-mechanical sign of dualism of the description of an object. The achievements of quantum mechanics are estimated by results of antichaos essence of science.

It was noted in the article, that initially the problem of interpolation of the simple plane curve arose in the problem of simulation of subsonic flow around a body with the subsequent calculation of the velocity potential using the vortex panel method. However, as it turned out, the practical importance of this method is much wider. This algorithm can be successfully applied in any task that requires a discrete set of points which describe an arbitrary curve: potential function method, flow around an airfoil with the trailing edge (airfoil, liquid drop, etc.), analytic expression, which is very difficult to obtain, creation of the font and logo and in some tasks of architecture and garment industry.

The article researches the equation with infinite degrees of stairs (tetration). Tetration is not an elementary function, so the application to the solution of the arguments, that are suitable for algebraic and transcendental functions, leads to erroneous and paradoxical conclusion. The work presents the numerical analysis of the set of solutions of the equation with titration and makes some conclusions of the solvability of the problem for different values of the right-hand side of the equation.