Part I. Outcome at 1 Year

Part I Psychotherapy and Counselling Outcome Research

Submetric Spaces — Part I 1

(1) For all elements x, y of R such that 0≤ x and 0≤ y holds max(x,y)≤ x+ y. (2) For every metric space M and for all elements x, y of M such that x 6= y holds 0 < ρ(x,y). (4)1 For all elements x, y of { / 0} such that x = y holds ({[ / 0, / 0]} 7→ 0)(x, y) = 0. (5) For all elements x, y of { / 0} such that x 6= y holds 0 < ({[ / 0, / 0]} 7→ 0)(x, y). (6) For all elements x, y of { / 0} holds (...

– 1 – Supersymmetry , Part I ( Theory )

I.

A Glance at Graph Theory—part I

This survey (to be published in two parts in successive issues of the Bulletin) is based on lectures given at the St. Andrews Mathematical Colloquium in 1980. It attempts, as did the lectures, to indicate some of the achievements and problems of graph theory to mathematicians specializing in other subjects. It is therefore not aimed at experienced specialists in graph theory, although it might ...

Balanced 0, ±1 Matrices Part I. Decomposition

A 0; 1 matrix is balanced if, in every square submatrix with two nonzero entries per row and column, the sum of the entries is a multiple of four. This paper extends the decomposition of balanced 0; 1 matrices obtained by Conforti, Cornu ejols and Rao to the class of balanced 0; 1 matrices. As a consequence, we obtain a polynomial time algorithm for recognizing balanced 0; 1 matrices.