Combinatorics

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    who helped find the British school of pure mathematics. He was born August 16, 1821 and died on January 26, 1895. In history around this time slavery was going on. Slavery is the state or condition of being a slave; a civil relationship whereby one person has absolute power over another and controls his life, liberty, and fortune. Slavery ended in December 6, 1865. Also what was going on during Arthur Cayley’s life was the civil war which took place from 1861-1865. The Civil War was a war that was going on between the north and the south over slavery. Even though he wasn’t born in the United States, those events still happened in the same year. Arthur Cayley made many valuable contributions to algebra, graph theories, group theories, combinatorics, and analytical geometry and elliptic functions. He studied geometric curves and surfaces, but also added the theory of invariants to also give it an algebraic way of understanding. His goal was to be able to classify surfaces and curves by their invariants, which proved to be a hard task. His contributions that he made help led to the advancement in geometric dimensions higher than three. Cayley also discovered what we now call the Cayley Hamilton Theorem which consists of the use of matrices. Matrices are the ordered entries of functions in linear algebra and every linear function is represented by a matrix. Arthur Cayley’s contributions are important because we were opened up to new ways of doing harder problems. He came up…

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    is the original goal, the journey to reach it is equally important and fulfilling. During my time in middle school and high school, my passion for mathematics and problem solving was propelled by participating in Math Olympiads. I was first introduced to this competition at the beginning of 7th grade. I fell in love with the type of challenging problems that required great ingenuity and clear thinking. I was so enticed by the experience that I decided to put all my efforts for the upcoming…

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    technological developments in the present world.  I attended another workshop on “Image Processing” conducted by Technophilia Systems in National Institute of Technology (NIT), which taught me basics of processing images using MATLAB coding.  I have taken part in a national level project expo, ANVESHANA 2K15, conducted and organized by Agastya, an international transformative educational foundation. The organizers selected 20 out of 150 applicants, among the selected I was fortunately one. …

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    minds of students who find math hard, tedious, and not useful. The Julia Robinson Mathematics Festival was founded in 2007 by Nancy Blachman to provide intellectual stimulation and to enable students to have fun exploring and making mathematical discoveries. What Happens at at Festival The Julia Robinson Mathematics Festival is a hands-on celebration usually several hours in length with activities, problems, puzzles and games designed to engage and inspire elementary, middle, and/or high…

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    got his certification in teaching, but he did not feel a strong connection to it. George later on went back to school for philosophy and was counseled by Bernat, a philosophy professor, to take additional courses: Math and physics. During this time George found himself interested in Mathematics; he stated, “I thought I am not good enough for physics and I am too good for philosophy. Mathematics is in between” (qt. in Ramirez). With the help of Bernat, Polya was able to gain a doctorate in…

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    Sudoku Research Paper

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    addition to the publishing of Sudoku in the Daily Telegraph in 2005, only added to the considerable stature Sudoku was building in the gaming world (Delahaye, 2006; Hayes, 2006). The popularity of Sudoku continues even until the current day, even in the mathematical world. Researchers have been closing in on the puzzle, making it the "subject of mathematical scrutiny" (Hirst, 2016, para. 2). Sudoku is being shown to have strong connections to areas in logic and graph theory, with particular…

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    In the world of mathematics, there have been many who have come and gone without making any kind of mark. Paul Erdős was mostly known in “number theory” and “combinatorics” and most important “legendary eccentric who was arguably the most prolific mathematician of the 20th century, in terms of both the number of problems he solved and the number of problems he convinced others to tackle” (citation). From the looks of it Erdős seems to have been a well know mathematician. Being born of two high…

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    completed forty-page packet of all the most rigorous second grade math problems to solve in exchange for a third grade textbook. Within the week, I returned the packet to her utter shock. Soon after, I received my green, hardcover textbook, a book that I would study independently– both at home and at school– for the rest of the year. I loved that textbook. This passion for mathematics and independent learning has remained in me ever since, and it has allowed me to transcend the obstacles…

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    Machine Perception Essay

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    (3 semesters) and Electromagnetic Waves (2 semesters). During my teaching, I realized that many senior students were struggling analyzing the data for their theses. So, to give an advanced training in programming to the senior students, I proposed and developed a course on Numerical Methods, which is currently included as an interdisciplinary optional course in the university curriculum. I also taught that course for a semester. I also won the best instructor award, voted by the students, for…

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    Takraw Teamwork Essay

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    Learning Combinations Through “Sepak Takraw Teams” Rarri Bian Ryandi Rarri.bianryandi@gmail.com Department Magister of Mathematics Education, Faculty of Teacher Training and Education, Sriwijaya University, INDONESIA. Somakim somakim_math@yahoo.com Department Magister of Mathematics Education, Faculty of Teacher Training and Education, Sriwijaya University, INDONESIA. Ely Susanti Ely_pasca@yahoo.com Department Magister of Mathematics Education, Faculty of Teacher Training and Education,…

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