The Kline 2-sphere characterization―by definition

ROC analysis of Kline & Kline data

Notes from Kline, Rex

Notes that many statistics have more complex sampling distributions than do means, for example, , the standardized difference between means. Briefly discusses ways to construct confidence intervals about such statistics. Mentions confidence interval transformation (Steiger & Fouladi, 1997) – the statistic is transformed into normally distributed units, lower/upper limits of the interval are ob...

Diffeomorphisms of the 2-sphere

The analogue of Theorem A for the topological case was proved by H. Kneser [2]. The problem in his case seems to be of a different nature from the differentiable case. J. Munkres [3] has proved that fi is arcwise connected. Conversations with R. Palais have been helpful in the preparation of this paper. Let I2 be the square in the Euclidean plane E2 with coordinate (t,x) such that (t, x)EI2 ii ...

2 Definition of the amplitudes

The pp polarization data confirm the presence of a diffractive-like (Pomeron) contribution in the spin flip amplitude. The extrapolation to RHIC energies does not appear very promising.

Construction of Designs on the 2-Sphere

Spherical r-designs are Chebyshev-type averaging sets on the d-dimensional unit sphere Sd-l that are exact for all polynomials of degree at most t. The concept of such designs was introduced by Delsarte , Goethals and Seidel in 1977. The existence of spherical designs for every t and d was proved by Seymour and Zaslavsky in 1984. Although some sporadic examples are known, no general constructio...