Each irreducible representation [λ] of the symmetric group Sn may be identified by a partition
[λ] of n into non-negative integral parts λ1 ≥ λ2 ≥ … λn ≥ 0, of which the first λ'j parts are ≥…

In this paper the character table of GL(3, q) (U(3, q2)), the group of all nonsingular n × n (unitary)
matrices over GF(q) (GF(q2)), is used to obtain the character tables for the related …

1. Introduction. The closest rational approximation P/Q (P, Q integers) to a given positive real
number x, subject to the condition that the denominator Q shall not exceed a given positive …

… axes fastened in a rigid frame. Each plate contains … of a frame. For positive terms the
templates are slid in right side up, and for negative terms up side down. A sliding vertical frame in a …

1. Introduction. It is the purpose of this paper to study some of the properties of the double
cosets of a finite group and to prove two main theorems which generalize the results of two …

Background: Cancer screening frequency should be based on the rate of progression of the
disease and the sensitivity of the screening test. A common misconception is that a person's …

… When all a/eigen values of A are distinct, the corresponding η eigenvectors X constitute
the columns S,j of a matrix 5, and the eigenvalues are diagonal entries of a matrix Λ such …

… ideal by Sutherland (2006) and has been used in this study. … we wished to know the time
frame required for the restoration … impacts and predict the time frame for recovery based on both …

1. Introduction. We are concerned in this paper with a study of some important properties of
the matrices V of the commuting ring of a finite intransitive group of permutation matrices R …

Here we define the group vector y to be a gXl column vector whose entries are the elements
of G, arranged so that the identity element 71 is first, and so that the hff elements of a class …