Mathematics

An Introduction to the Application of Statistics in Big Data

Abstract Statistics, in its modern sense, is a field of study that aims to analyze natural phenomena through mathematical means. As a highly diverse and versatile discipline, statistics has been developed not only in the areas of STEM subjects, but also in the spheres of social science, economics, and humanities. More recently, the use of …

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Evaluation the Gaussian Integral through the use of Power Series and Master Theorem

Abstract The Gaussian Integral is an important tool, imperative to the study of probability and statistics.It and similar integrals are computed usually through the method of double integrals and spherical coordinates. This paper sets forward an avenue of exploration highlighting the versatility and applications of the Ramanujan Master Theorem, a method to find the value …

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What Are Fractals and Could They Be the Key to Creating an Automated Cancer Diagnosis System?

Abstract Cancerous cells can be detected in many ways, one of which uses fractal dimension (a number that describes the complexity of a shape). We analyse the “box counting” method of finding the fractal dimension of an object and the application that this has in finding the fractal dimension of an animal cell. We review …

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The science of interaction and decision-making: Game Theory

From the very beginning, we have tried to predict the future. Prediction is a messy business, and astrologers are seldom genuine. However, scientifically speaking, prediction is absolutely essential. From weather to strategic interactions, prediction is present everywhere. It is often impossible to predict complex, real-life phenomena using simple mathematical equations. We need a new concept …

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