Numerical Simulation of Marangoni-Driven Boundary Layer Flow Over a Flat Plate with an Imposed Temperature Distribution Abstract: A numerical algorithm is presented for studying Marangoni convection flow over a flat plate with an imposed temperature distribution. Plate temperature varies with x in the following prescribed manner: where A and k are constants. By means of similarity transformation‚ the original nonlinear partial differential equations of flow are transformed to a pair of nonlinear
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Perfect numbers Mathematicians have been fascinated for millenniums by the properties and patterns of numbers. They have noticed that some numbers are equal to the sum of all of their factors (not including the number itself). Such numbers are called perfect numbers. A perfect number is a whole number‚ an integer greater than zero and is the sum of its proper positive devisors‚ that is‚ the sum of the positive divisors excluding the number itself. Equivalently‚ a perfect number is a number that is
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geometric shapes‚ which lead to special numbers. The simplest example of these are square numbers‚ such as 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3‚ and 4. Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero‚ if the following number is always added to the previous as shown below‚ a triangular number will always be the outcome: 1 = 1
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Pi has always been an interesting concept to me. A number that is infinitely being calculated seems almost unbelievable. This number has perplexed many for years and years‚ yet it is such an essential part of many peoples lives. It has become such a popular phenomenon that there is even a day named after it‚ March 14th (3/14) of every year! It is used to find the area or perimeter of circles‚ and used in our every day lives. Pi is used in things such as engineering and physics‚ to the ripples created
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How does society affect our society then and today? Homelessness affects society in multiple ways. Everywhere you go there is always a homeless one in need. Homeless children suffer depression and anxiety from abandonment and other issues. There are ways that homelessness affects us that we do not know about. Let homelessness capture a meaning in every way. The government is also affected by homelessness paying for insurances‚ financial aid etc… The homeless should not be held with a label as
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A rational number is a number that can be written as a ratio of two integers. The decimal of a rational number will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rational numbers and their decimals‚ it is best to start with a list. A random list of rational numbers and their decimal values was made in order to find a pattern. The list included ½‚ 5/6
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Find The nth Term Of The Bell Numbers Abstract A pattern was discovered when elements in a set were rearranged as many ways as possible without repeating. This pattern is a sequence of numbers called Bell Numbers. In combinatorial mathematics‚ which is said to be the mathematics of the finite‚ the nth Bell number is the number of partitions of a set with n members. This find the number of different ways an element or
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month from the second month on. The puzzle that Fibonacci posed was how many pairs will there be in one year? When attempting to solve this problem‚ a pattern is detected: Figure 1: Recognizing the pattern of the "rabbit problem". If we were to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this
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How Facebook Affects One Academic Performance How Facebook affects one’s academic performance I. INTRODUCTION Facebook are currently being used regularly by millions of people. The use of these networking sites has been widespread that they have not only caught the attention of academic researchers worldwide but also us‚ in particular. Social networking sites are now being investigated by numerous social science researchers and an increasing number of academic commentators are becoming more and
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Purpose Sentence The purpose of this speech is to inform my listeners on how to do laundry. Introduction Forty-five percent of children don’t learn how to do laundry until leaving for college. Most children feel that it’s not a necessary tool they need to know until they are on their own. Having freshly cleaned pants and blouses each day in your closet seems normal to many kids‚ but before you know it‚ those wonderful days will in fact be over. After today‚ most of you
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