Binomial coefficient

The Admiralty coefficient, which is commonly used in shipbuilding, illustrates the relationship of fuel consumption and vessel speed. The formula was initially used to determine the relationship between the force and displacement speed vessel. But it may also be used to compare values inter related with the power, for example, resistance to the hull or fuel consumption. Therefore, the formula described in the literature as the coefficient of fuel can be written: [Equation:…

air, the initial conditions, as well as the important system parameters are then outlined. Solution algorithm of the model equations is then explained. The effect of the intra-particle diffusion is examined by means of effective mass transfer coefficient. It can be obtained by similarity with heat transfer by conduction. Finally, the criterion for choosing the optimum switching time is set. 4.1. Fluidized Bed Model 4.1.1. Model Assumptions 1- The bed is perfectly mixed hence; all particles have…

The sampling method was also used to collect data from the various health records such as referral letters and doctors recommendations. The collected data was analyzed using various tests. First 95% confidence was calculated using Clopper-Pearson binomial distributions assumptions. Binary logistic regression with the help of step-wise approach was used to identify the risk factors that lead to inappropriate prescribing as a result of hospitalization. The benefits that go along with correlation…

Hardy­Weinberg Law Given the mathematical and statistical methods used already, this law also uses probability, however is represented in a graphical manner. Through this graph I will determine if the class data set has significant variation on an allele by genotype graph by comparing their points to the collection of data sets from Census at School that will represent in this paper as the Canadian average. The Hardy­Weinberg Law, developed by G.H Hardy and Wilhelm Weinberg in 1908, states that…

in a nutshell, it is the universal language. Mathematics is also a way of thinking. It’s having the ability to open your mind up to endless possibilities. For example, Pascal’s Triangle is an amazing and efficient way to figure out the coefficients of a binomial series. Mathematics knows different ways to solve one problem. What is so fascinating to me is that there are a lot of problems in mathematics that have a long way and a short way to solve the problem. The long way teaches you the…

1. INTRODUCTION ESTIMATING AUTO INSURANCE PREMIUM USING GENERALISED LINEAR MODELS 1.1 BACKGROUND INFORMATION AND PROBLEM STATEMEENT The basic role of insurance is to pool fortuitous losses together, provide financial protection, offering a means of transferring the risk of losses in exchange of an insurance premium. Insured’s pose varying level of risks to an insurer. It is rational that the rates charged correspond to individual risk levels. The non-uniform rates charged…

Niccolò Fontana Tartaglia Niccolò Fontana Tartaglia was an Italian mathematician who lived from 1499/1500 to 1557. When he was 12, a French army attacked his town and home, and a soldier cut his face and throat. Left with a speech impediment, he became known by the name “Tartaglia,” which means “the stammerer” in Italian. Tartaglia made many great contributions to the world and specifically to mathematics. He is responsible for finding a solution for cubic equations, writing important…

The world we know today would be extremely different if Sir Isaac Newton had never been alive or had never published his genius theories. Even today, Newton is still praised for his incredible studies and workings in the area of physics of the universe and calculus. During the time Newton was alive, it seemed as if no human mind could ever begin to detangle and determine any of his findings. He lived in a small village as a child with his mother and stepfather. In his youth, Newton supposedly…

ANALYSIS OF THE DETERMINANTS OF BRAND SWITCHING OF SELECTED MILK PRODUCTS IN ABIA STATE, NIGERIA Abstract The study analysed the Determinants of brand switching of selected milk products in Abia State, Nigeria. Specifically, determine the most preferred milk brand in Abia State, ascertain the likeliness of switching brand, among others. A multi-stage sampling technique was used for selecting location while a simple random sampling was used for selecting respondents. A structured…