Power of a point

In mathematics, a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane. In this paper "Some new identities on the conic sections", we construct some new identities and proposed the concept of the power of a point with respect to a conic.

12p runordie3 27-06-2022 9 4   Download

The automobile industry is a fast developing industry. From the later 18th century, when the first automobile was put on road, this industry has developed tremendously. Now there are thousands of factories all over the world manufacturing numerous type of automobile. The automobile engines are also being used in engine powered machines for agriculture, construction and manufacturing processes. Various types of small engines are also being used in lawn movers, power saws, snow removers and similar equipments.

22p dien545 24-01-2013 117 23   Download

The interface between thec-subunit oligomer and the asubunit in the F0sector of the ATP synthase is believed to formthe core of the rotatingmotor powered by the protonic ¯ow. Besides the essential cAsp61 and aArg210 residues (Escherichia colinumbering), a few other residues at this interface, although nonessential, show a high degree of conservation, among these aGlu219.

9p research12 23-04-2013 23 2   Download

We prove that the Birkhoff normal form of hamiltonian flows at a nonresonant singular point with given quadratic part is always convergent or generically divergent. The same result is proved for the normalization mapping and any formal first integral. Introduction In this article we study analytic (R or C-analytic) hamiltonian flows xk ˙ yk ˙ ∂H , ∂yk ∂H = − , ∂xk = + where xk , yk ∈ C (resp. R), k = 1, 2, . . . n, and H is an analytic hamiltonian with power series expansion at 0 beginning with quadratic terms (so that 0...

19p tuanloccuoi 04-01-2013 55 6   Download