Vorticity equation

| INFINITE SURDS | Ria Garg | | The purpose of my investigation is to find the general statement that represents all values of k in an infinite surd for which the expression is an integer. I was able to achieve this goal through the process of going through various infinite surds and trying to find a relationship between each sequence. In the beginning stages of my investigation I came across the sequence of ` a1= 1+1 a2= 1+1+1 a3 = 1+1+1+1 While looking at the sequence

frame behaviour in stable states. A number of factors which affect structural performance in fire are outlined. Among these, the degradation of steel properties at elevated temperature is a main contributor in loss of structural resistance in fire. The characteristic of behaviour of steel at elevated temperatures from test findings are evaluated. These are compared with the simplified constitutive models of structural steel provided in EN-1993-1-2 and EN-1994-1-2. The review of the literature works

jumping jelly bean which demonstrates how to use the number line to add. After the video is complete the teacher will draw a number line and an equation. The teacher will tell students that a number line had arrows at each end, and dashes along it to show where each number goes. The number line will go to 20. The teacher will explain that 4+8= is an addition equation and that each number is called an addend, the + and = are signs and the answer is the sum. The teacher will then demonstrate how to use the

despite many of these discoveries being forgotten or lost, their advancements in mathematics have been kept for centuries, and have brought modern ideas of angles, quadratic equations and even knowledge about the Pythagoras theorem, before Pythagoras himself existed. One modern-day use of mathematics and quadratic equations, created by Babylonians, was the collection of taxes. Mesopotamia was a very fertile land; therefore there were a high number of farmers in the Babylonian Empire. Because of

model that will be studied in this investigation is mainly the cubic function. Cubic functions are equations that are expressed in the form of f(x)=ax3+bx2+cx+d where a≠0 and a,b,c and d are constants. There are usually two stationary points and an inflection point in cubic functions. This inflection point can either be a stationary inflection point or a non-stationary inflection point. Cubic equations were known to the ancient Babylonians, Chinese, Greeks, Egyptians and Indians. Physicians and mathematicians

(MTSF), the steady state availability and busy period for system are derived using linear first order differential equations. A particular case for the proposed system is discussed in which substitute system was not considered. Also comparison is performed graphically to observe the effect of the proposed system on Availability. Keywords: Availability, Linear first order differential equation, Mean Time to System Failure, Reliability, Steady State Availability. 1) INTRODUCTION Competition exists in

(MTSF), the steady state availability and busy period for system are derived using linear first order differential equations. A particular case for the proposed system is discussed in which substitute system was not considered. Also comparison is performed graphically to observe the effect of the proposed system on Availability. Keywords: Availability, Linear first order differential equation, Mean Time to System Failure, Reliability, Steady State Availability. 1) INTRODUCTION Competition exists in

SOLUTION OF 2-D INCOMPRESSIBLE NAVIER STOKES EQUATIONS WITH ARTIFICIAL COMRESSIBILITY METHOD USING FTCS SCHEME IMRAN AZIZ Department of Mechanical Engineering College of EME National University of Science and Technology Islamabad, Pakistan Imran_9697@hotmail.com Abstract— The paper deals with the 2-D lid-driven cavity flow governed by the non dimensional incompressible Navier-Stokes theorem in the rectangular domain. Specific boundary conditions for this case study have been defined and

an idea by algebra. Most of the book is told in chronological order from the early Egyptians and Babylonians discovery of the quadratic equation and leading up to the impossibility to solve the quintic equation. Through each chapter we see how mathematicians get one step closer to solving the quintic, and their struggles they faced along the way. Early Equations The earliest record of the quadratic that we know of dates back to the Babylonians, solved on a tablet. Historians and Mathematicians

The equation for the linear function used was Ax-By=A_1-B_1. A and B are represented in the form A/B after finding the slope using the formula (y_2-y_1)/x_(2-x_1 ) . Once the slope has been found these are substituted into the equation as well a known coordinate on the line segment (A_1,B_1). This process can be seen in figure 3 Aim To use mathematical modelling techniques