Neper Epsilon vicinity to Integral

The square ABCD with side of 2 units here is "arbitrary figure" on the Ulam spiral with center the origin Oxy. This figure is characterized by a double integral down her face Natural surroundings is (Epsilon) painted triangle - it consists of three scan points of Lagrangian point on the Ulam spiral. Center coincides with the beginning of the coordinate system of the drawing falls and center of gravity of the square ABCD (intersection of diagonals). On this drawing with figure so constructed triangle area Epsilon is the smallest and the largest such area of ABCD.

In three-dimensional convex polyhedron D, will have six two-dimensional view, and its surface will be characterized by a triple integral. Six views will be orthogonal projections, which may be given on the spiral Ulamov analogous to ABCD ...

Characteristic equations of the Chess game

The points-centres of the chess board must be projected on the pyramid...

Point 1: 5/6 from the foundation on the height of the pyramid

Point 2: 1/3 from the foundation on theheight of the pyramid

Explanation:

The inner squares of the board are situated on the upper wall of the half-cube, and the rest on the side walls. The down wall is without squares !

I1( Integral debute ) = А

I2 ( Integral mittelspiel ) = B – А

I3 ( Integral endspiel ) = C – B

А



B



C