Annual report on the administration of the Missouri Workmen's Compensation Law.

Odd-numbered vols., 1st-15th, for 1927-42 also published in Appendix to House and Senate journals of the Missouri General Assembly.

General state aid recommendations : a report submitted to the Illinois General Assembly /

"The Illinois Education Funding Advisory Board was created by Public Act 90-548 in December of 1997. Pursuant to the requirements in Section 5/18-8.05(M) of the Illinois School Code [105 ILCS 5/18.8.05], the Education Funding Advisory Board, in consultation with the State Board of Education, shall make recommendations to the General Assembly for the foundation level and for the supplemental General State Aid grant level for districts with high concentrations of children from poverty. The Education Funding Advisory Board is to make such recommendations to the General Assembly on January 1 of odd numbered years, beginning January 1, 2001."

The organization and proceedings of the encampment at its sessions held at Boston, March 22d,29th and April 23d,1844. Proceedings and its [annual,semi-annual and special] sessions held 1844-57.

Mode of access: Internet.

Deep things of God; or, Milk and strong meat: containing spiritual and experimental remarks and meditations, suited to the cases of babes, young men, and fathers in Christ; particularly, to such as are under trials and temptations, and who feel the plague of their own hearts ...

Pages 1-8 paged incorrectly, odd numbers on rectos.

Odds and ends,

Introductory.--Boyhood and schoolboy life.--Sunday-schools.--Preaching and preachers.--Parochial "missions" and missioners.--Cathedrals and cathedral life.--A problem in morals.--The relation of disease to crime.--Club life.--Odd people I have met, and odd doings and sayings.

Christian Remick, an early Boston artist;

"One hundred copies of this book have been printed, of which this is no. 49."

Proceedings G. L. of Va., 1837-1859., I. O. O. F.

Mode of access: Internet.

Journal of proceedings.

Mode of access: Internet.

Revue de synthèse

Includes section: "Revues critiques."

Year book /

Title vignette.

Balanced critical sets in Latin squares

In this note we first introduce balanced critical sets and near balanced critical sets in Latin squares. Then we prove that there exist balanced critical sets in the back circulant Latin squares of order 3n for n even. Using this result we decompose the back circulant Latin squares of order 3n, n even, into three isotopic and disjoint balanced critical sets each of size 3n. We also find near balanced critical sets in the back circulant Latin squares of order 3n for n odd. Finally, we examine representatives of each main class of Latin squares of order up to six in order to determine which main classes contain balanced or near balanced critical sets.

Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

0We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify the scaling behaviour of the model and determine the zero temperature expectation value for the coherence and average atomic occupation. The threshold coupling for production of the molecular BEC is identified as the point at which the energy gap is minimum. Our numerical results indicate a parity effect for the energy gap between ground and first excited state depending on whether the total atomic number is odd or even. The numerical calculations for the quantum dynamics reveals a smooth transition from the atomic to the molecular BEC.

Common multiples of complete graphs and a 4-cycle

A graph G is a common multiple of two graphs H-1 and H-2 if there exists a decomposition of G into edge-disjoint copies of H-1 and also a decomposition of G into edge-disjoint copies of H-2. In this paper, we consider the case where H-1 is the 4-cycle C-4 and H-2 is the complete graph with n vertices K-n. We determine, for all positive integers n, the set of integers q for which there exists a common multiple of C-4 and K-n having precisely q edges. (C) 2003 Elsevier B.V. All rights reserved.

Pseudo memory effects, majorization and entropy in quantum random walks

A quantum random walk on the integers exhibits pseudo memory effects, in that its probability distribution after N steps is determined by reshuffling the first N distributions that arise in a classical random walk with the same initial distribution. In a classical walk, entropy increase can be regarded as a consequence of the majorization ordering of successive distributions. The Lorenz curves of successive distributions for a symmetric quantum walk reveal no majorization ordering in general. Nevertheless, entropy can increase, and computer experiments show that it does so on average. Varying the stages at which the quantum coin system is traced out leads to new quantum walks, including a symmetric walk for which majorization ordering is valid but the spreading rate exceeds that of the usual symmetric quantum walk.

On the completion of Latin rectangles to symmetric Latin squares

We find necessary and sufficient conditions for completing an arbitrary 2 by n latin rectangle to an n by n symmetric latin square, for completing an arbitrary 2 by n latin rectangle to an n by n unipotent symmetric latin square, and for completing an arbitrary 1 by n latin rectangle to an n by n idempotent symmetric latin square. Equivalently, we prove necessary and sufficient conditions for the existence of an (n - 1)-edge colouring of K-n (n even), and for an n-edge colouring of K-n (n odd) in which the colours assigned to the edges incident with two vertices are specified in advance.