For any given positive masses it is proved that the variational minimization solutions of the 3-body problem in 3 or 2 are precisely the planar equilateral triangle circular solutions found by J. Lagrange in 1772, and...
Project supported by the National Natural Science Foundation of China.
For a real a, let =max(1, |a|). Let s≥1. We use Gs to denote the s-dimensional unit cube, and (x, y ) to denote the scalar product of vectors x and y in Rs. For m=(m1,…, ms...
We call the two surfaces the geometric continual or visual continual and denote them by GC^1 if they are of positional continuity and tangent plane continuity at their joints. A set Δ composed of vertices, segments, ...
Let π_k be a Pontrjagin space, which has a maximal seminegative subspace with k dimensions, and (.,.) be the indefinite inner product on π_k. A linear bounded operator T is called a contraction, if (Tx, Tx)≤(x, x )...
If C is any convex dosed curve in plane and P, Q, R are any three points which divide the perimeter of C into three equal parts, then the perimeter of the triangle PQR is never less than half of the perimeter of the c...
Routh discovered that if the sides BC, CA, AB of a plane triangle ABC are divided at points L, M, N in the respective ratios λ:1, μ: 1, γ: 1, the AL, BM, CN intersect to form a triangle A′B′C′ whose area
Project supported by the National Natural Science Foundation of China
Ⅰ. INTRODUCTIONMonte Carlo renormalization group method (MCRG) has become a powerful technical tool for the study of critical behaviour and continuum limit of discrete systems since 1976. The method is therefore wide...
The shape of pole surfaces of a magnet is directly related to the field distribution in the effective space of the magnet. An effective way to shape the magnetic field is to make necessary shimming on the pole surface...
As one of a series of investigations carried out in our laboratory, the liquidus of the NdCl3-CaCl2-LiCl system which was determined by the DTA method is described here. So far as we know, this p...
Study on H3+, H3 has been an important subject in the field of atoms and molecules. Semiempirical methods and ab initio calculations have been employed in the recent sixty years. The r...