There is a familiar conjugate for integer partitions: transpose the Ferrers diagram, and an analogous conjugate for integer compositions. Here we propose a conjugate for set partitions and exhibit statistics interchanged by the conjugate, both for compositions and set partitions. 0 The Conjugate of an Integer Partition A partition of n is a weakly decreasing list of positive integers, called it...

Like other structures, shallow domes have imperfections from the prescribed values obtained by specifications during the construction process. Specifications define some tolerance values for imperfections. Despite consideration of these values, the critical load of a dome varies for each imperfection pattern. So the reliability plays an important role in domes safety. Theoretical evaluation pro...

............................................................................. ........ 1 Chapter One – Introduction ............................................................ 3 1.1 Motivations ......................................................................... 3 1.2 The problem statement and the thesis organisation .......................... 4 Chapter Two – The block diagram of a simple...

Color-magnitude diagrams of globular clusters often exhibit a prominent horizontal branch (HB) and may also show features such as the red giant branch (RGB) bump and the asymptotic giant branch (AGB) bump. Stellar evolution theory predicts that the luminosities of these features will depend on the metallicity and age of the cluster. We calculate theoretical lines of 2 to 12 Gyr constant age RGB...

This paper presents a case study on how to apply ITIL availability management best practice to assess the end-to-end service availability in a tiered web service delivery environment. It also helps pinpoint the road blocks to the required service level and provide cost-effective solution for improved service delivery. An overview of basic ITIL availability management concept is provided along w...

A sphere moving down the surface of a static sphere and a simple phase diagram. Abstract A small sphere placed on the top of a big static fric-tionless sphere, slips until it leaves the surface at an angle θ l = cos −1 2/3. On the other extreme, if the surface of the big sphere has coefficient of static friction , µ s → ∞, the small sphere starts rolling and continues to do so until it leaves t...

A sphere moving down the surface of a static sphere and a simple phase diagram. Abstract A small sphere placed on the top of a big static fric-tionless sphere, slips until it leaves the surface at an angle θ l = cos −1 2/3. On the other extreme, if the surface of the big sphere has coefficient of static friction , µ s → ∞, the small sphere starts rolling and continues to do so until it leaves t...