Euler’s partition theorem states that the number of partitions of an integer N into odd parts is equal to the number of partitions of N in which the ratio of successive parts is greater than 1. It was shown by Bousquet-Mélou and Eriksson in [9] that a similar result holds when “odd parts” is replaced by “parts that are sums of successive terms of an `-sequence” and the ratio “1” is replaced by ...

Background: Cholecystitis is one of the major digestive diseases. Its prevalence is particularly high in some populations. Significant risk factors associated with cholecystitis include age, sex, obesity, diet, parity and type 2 diabetes. Objective: To determine the association between HLA-DRB1 and cholecystitis. Methods: This casecontrol study included forty Iraqi Arab patients who had cholecy...

Branch mispredictions is an important factor affecting the running time in practice. In this paper we consider tradeoffs between the number of branch mispredictions and the number of comparisons for sorting algorithms in the comparison model. We prove that a sorting algorithm using O(dn log n) comparisons performs Ω(n log d n) branch mispredictions. We show that Multiway MergeSort achieves this...

Submit Manuscript | http://medcraveonline.com Abbreviations: BMI: Body Mass Index; CM: Centimeter; χ2: Chi Square; KG: Kilogram; M: Meter; MAC: Mid-Arm Circumference; MLS: Milliliters; NTDS: Neglected Tropical Diseases; OR: Odd Ratio; RPM: Revolutions Per Minute; SPSS: Statistical Package for Social Sciences; UNICEF: United Nations International Children’s Emergency Fund; US CIA: United States ...

By application of the Markov-WZ method, we prove a more general form of a bivariate generating function identity containing, as particular cases, Koecher’s and Almkvist-Granville’s Apéry-like formulae for odd zeta values. As a consequence, we get a new identity producing Apéry-like series for all ζ(2n+ 4m+ 3), n,m ≥ 0, convergent at the geometric rate with ratio 2−10.

The use of a high-finesse Fabry-Perot ring cavity with an odd number of reflections as a high-extinction-ratio resonant polarizer is shown. Experimental results from quantum-noise measurements using resonant cavities as spatial and spectral filters and precision polarizers are presented.