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# Mathematics Research Paper

The Concept of the Universality of Mathematics
Mathematics, according to Dehaene is not a rigid body of knowledge where its forms and concepts “and even its modes of reasoning have evolved over the course of many generations”. A similar belief was maintained by Steiner (1998) who claimed that evolution encompasses not only the biological sphere but the entire universe
Pages: 10 (2500 words), Research Paper
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Mathematics Meaning in World Wide Education

It has been observed that students who are able to learn well in situations which involve some level of conceptual understanding can adjust to other situations as well. Reportedly, rather than memorizing the formulae, a student should be given more liberty to experiment and devise his/her own method.

Pages: 12 (3000 words), Research Paper
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Application of linear algebra to Electrical engineering ( ex: Kirchhoffs Law)
As we know the Ohm’s law states that V = IR (Shamieh & McComb 67-98), it is the simplest estimation to calculate the voltage or current into the circuit if the third variable is known.Kirchhoff’s voltage law states, “The algebraic sum of the voltages around any closed path in a circuit is identically zero for all time” (Drof & Svoboda 69). In this way, if we consider a mesh in which, there only a single loop, the method that represent the mesh current is used to the determine the
Pages: 4 (1000 words), Research Paper
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The Evolution of Six Sigma
To understand the complete evolution process of Six Sigma, it is important to understand each stage. The different stages of evolution are:In the early 1970s, numerous US companies faced extensive loss of business and markets. These losses resulted in motivation for the use of statistical methods to improve quality and business procedure in general. The adoption and use of statistical methods helped US industries to regain their competitiveness in regards of quality.This all resulted in the
Pages: 5 (1250 words), Research Paper
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FINITE MATHEMATICS - Number Theory
Thus for any prime number there is a larger prime number, so there are infinity number of primes.The figure above represents a 12-hour clock. Clockwise movement increases number from 1 to 12. The number 12 can also be expressed as number 0. Using this clock we can do addition, subtraction, multiplication of integers. An integer is a whole number. There is no decimal. An integer can be a positive number or a negative number. Thus, we can use a 12-hour clock for arithmetic calculation with
Pages: 5 (1250 words), Research Paper
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Water Rocket Design
Water rockets present a simplified method of delivering physics and mathematics to students. However, water rockets also present a number of dangers during their construction, use and their return to the ground. This paper will look into the construction of water rockets to teach students mathematical principles while looking into learning styles, safety and other pedagogical considerations.Water rockets are a direct application of Newton’s third law of motion describing action and reaction.
Pages: 8 (2000 words), Research Paper
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Upstream and Downstream Peaks of Wastewater Run in the Sewer
Run 1 predicts the daily variation in expected flow at the monitored site using the basic default values and shows the peak flow is predicted by 21% and the mean daily flow by 3% The average occupancy value was adjusted to 2.43, and the pipe roughness was increased to ks= 6mm. The morning peak error is reduced to 7.9%.
Pages: 10 (2500 words), Research Paper
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The world of Sports matematics
Baseball for instance derives its popularity from statistics which was used to keep records and tracks from home runs. The major operations such as subtraction, division, addition and multiplication have been used to bring fourth analysis and rational judgments in matters of sports. In football for example, there must be designated teams according to each pool and all these have to battle it out in order to secure a place on top of the pool. This in essence calls for counting of the number of
Pages: 4 (1000 words), Research Paper
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Term structure of interest rates
In an attempt to understand the term structure of interest rates, this paper shall explore three common theories that have long been used to explain the term structure. These theories include the Expectations Hypothesis, the Segmented Markets Theory, and the Preferred Habitat or Liquidity Premium Theory.The expectations hypothesis has several variations. However, they all place a predominant focus on holding-period returns or the expected values of future spot rates. In its most basic form, the
Pages: 7 (1750 words), Research Paper
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Matrix Factorization Techniques for Recommendation Systems (Netflix Prize)
Quite a huge number of users will check a similar movie while each and every one of the users views various dissimilar movies. These users have shown the will to indicate their satisfaction levels with specific movies and thus a massive volume of data is available about what particular movies charm which users. Various known corporations analyze the available information to provide a recommendation on movies particular to a given set of customers. The Netflix prize has greatly rejuvenated
Pages: 16 (4000 words), Research Paper
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The Growth of Student Loan Debt in the US
Therefore, considering these statements and reports, it is quite clear that the issue of students’ loan is going to be a serious drag to the economy taking into consideration the fact that most of these young people who have debts are not going to be able to constructively participate in the enhancement of the economy like the former generations when they are faced with a loan debt burden that would require them to make extremely large payments out of their incomes every month instead of
Pages: 10 (2500 words), Research Paper
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Expected Frequency even in dessert
This influence of gender on how a person eats their ice cream has not been well researched and this is the motivation for this research. The paper aims to investigate whether gender and ways of eating ice cream and other frozen foods are related, or whether the choice is independent of gender.For this study, data will be collected from students on how they eat their ice cream. Accordingly, data was collected from a sample of 40 students. To ensure that the data is not biased, efforts were be
Pages: 6 (1500 words), Research Paper
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Magic number 1089
Subtraction of the biggest number from the smallest (in this case we can use any of the numbers since we are not certain which letters represents the largest number). (100a+10b+c) – (100c + 10b + a) yields 99 (a-c). The logic here is that (a-c) must always be greater than two and definitely not greater than 9. The trick is usually in the predictable numbers that are obtained after the process gets to this level. It is a must that the values of 99 (a-c) should be either 198, 297, 396,495, 594,
Pages: 4 (1000 words), Research Paper
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In this specific example, we will consider a case when c will be equal to zero, c=0. This example dwells on the condition that all the optimization problems are viewed in two different ways, which are either the dual problem or the optimization problem, which is referred to as the duality principle.This theory is most applicable while being used as an interior point in quality programming. The lagrange multiplier is also very efficient in this optimization since it leads to identification of
Pages: 8 (2000 words), Research Paper
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Logistic regression applied on small samples
In correspondence to the above, the essay elaborates on the different methods used for logistic regression for large samples. Furthermore, the paper provides a detailed outline on the other methods that could be successfully used for the development of statistical tools for the computation of small sample. Additionally, it explains the biased approaches that could be projected with the implementation of logistic regression on the small sample. Strategies for implying logistic on small samples
Pages: 4 (1000 words), Research Paper
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History of splines
The thin strip of wood offered an interpolation of the main points into smooth desired curves. Then, the strip is held in place at the main points and between these points assuming the shapes of least strain energy. In the History of Spines, Epperson (1998) describes "lofting", a method that was employed in the British aviation industry during the Second World War to develop templates for aircrafts through passing thin wooden strips, referred to as "splines" through key points displayed on the
Pages: 4 (1000 words), Research Paper
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Markov Chain
Is to build Markov forecasting model that predicts the state of an object in a certain period of time in the future by virtue of probability vector of the initial state and state transition probability matrix, Deju Zhang, Study on Forecasting the Stock Market Trend Based on Stochastic Analysis MethodThe average transition process of Markov chain only depends on the system’s initial state and the transfer matrix, where the system’s initial state is a line matrix posed by the probability
Pages: 6 (1500 words), Research Paper
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Research paper
Since my parents love fishing, if they come to visit me, we shall go to the riverside. If my parents come, I have reached a plan for the weekend. However, I also need to have an alternative plan in case my parents do not come. In that case, I shall follow the ‘no’ branch in the decision tree and would be left by myself to plan for the weekend. One thing that would have a remarkable impact on my weekend plans would be weather, so the next box contains ‘weather’. As it is spring season,
Pages: 4 (1000 words), Research Paper
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Mathematical Game Theory
Every node has a degree at most two which means that g will have not more than N edges.In that regard, a graph with k edges is denoted as gk.All the nodes are isolated in the base case g0. An edge is randomly picked and removed (called u,v) if the graph has n+1 edges. The degrees for nodes u and v are at most 1 because they had a degree at most two prior to removal of edge u and v. This implies that u and v are not on any cycle. Gn is assumed to be the combination of disjoint simple paths,
Pages: 8 (2000 words), Research Paper
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Game theory research paper
The complexity of the situation will automatically result in unpredictable behaviour in the game. Regardless of this, there are several available approaches which can be employed to deal with such situations just as it is effectively done in other games which lack a dominant strategy. One of the main ways through which such situations can be dealt with is the use and the applications of the Vickery auction approach.Vickery mechanism is a very common approach which is used to deal with various
Pages: 5 (1250 words), Research Paper
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