The Pythagorean theorem (A^2 + B^2 = C^2) has been impacting all types of people and careers since it was first realized during Ancient Greece times. It is one of the most widely recognized theorems in the mathematics community‚ and used much more than the average person knows: whether you need need to know the dimensions of a bag or you need find the distance from location to another‚ the Pythagorean theorem can be used. Everyone who was taught this theorem in their first year of algebra continues
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ancient Greek mathematician and philosopher. Pythagoras was responsible for important developments in the history of mathematics‚ astronomy‚ and the theory of music. The thing that Pythagoras is probably the most famous for is the Pythagorean Theorem. The Pythagorean Theorem is used in the field of mathematics and it states the following: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. This means that if one makes a square (with all sides equal
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Richard C. Carrier‚ Ph.D. “Bayes’ Theorem for Beginners: Formal Logic and Its Relevance to Historical Method — Adjunct Materials and Tutorial” The Jesus Project Inaugural Conference “Sources of the Jesus Tradition: An Inquiry” 5-7 December 2008 (Amherst‚ NY) Table of Contents for Enclosed Document Handout Accompanying Oral Presentation of December 5...................................pp. 2-5 Adjunct Document Expanding on Oral Presentation.............................................pp. 6-26
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Stokes’ theorem In differential geometry‚ Stokes’ theorem (or Stokes’s theorem‚ also called the generalized Stokes’ theorem) is a statement about the integration of differential forms on manifolds‚ which both simplifies and generalizes several theorems from vector calculus. The general formulation reads: If is an (n − 1)-form with compact support on ‚ and denotes the boundary of with its induced orientation‚ and denotes the exterior differential operator‚ then. The modern Stokes’ theorem is a
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BINOMIAL THEOREM : AKSHAY MISHRA XI A ‚ K V 2 ‚ GWALIOR In elementary algebra‚ the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem‚ it is possible to expand the power (x + y)n into a sum involving terms of the form axbyc‚ where the coefficient of each term is a positive integer‚ and the sum of the exponents of x and y in each term is n. For example: The coefficients appearing in the binomial expansion are known as binomial coefficients.
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The binomial theorem is a simplified way of finding the expansion of a binomial to a certain power. We can of course find the expanded form of any binomial to a certain power by writing it and doing each step‚ but this process can be very time consuming when you get into let’s say a binomial to the 10th power. Example: (x+y)^0=1 of course because anything to the power if 0 equal 1 (x+y)^1= x+y anything to a power of 1 is just itself. (x+y)^2= (x+y)(x+y) NOT x^2+y^2. So expand (x+y)(x+y)=x^2+xy+yx+y^2
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period in which Pythagoras graced his presence on Earth happened so long ago that research on Pythagoras and his mathematical concept were not documented. This is important because many researchers argue if Pythagoras really came up with the Pythagorean Theorem or if it was just a legend or Greek story. After researching this topic‚ I have found that Pythagoras was more than just a “Greek story”. Pythagoras was born in the Samos Islands of Samos. Samos is a Greek island that is found beside the
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The four color theorem is a mathematical theorem that states that‚ given a map‚ no more than four colors are required to color the regions of the map‚ so that no 2 regions that are touching (share a common boundary) have the same color. This theorem was proven by Kenneth Appel and Wolfgang Haken in 1976‚ and is unique because it was the first major theorem to be proven using a computer. This proof was first proposed in 1852 by Francis Guthrie when he was coloring the counties of England and realized
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mathematics and philosophy in a deeper way. One of the many names residing from Ancient Greece was Pythagoras a mathematical philosopher‚ who changed our present day apprehension of geometry with his astonishing creation of the theorem named after his name. The Pythagoras Theorem What is Philosophy in Mathematics? Mathematical philosophy is linked with the philosophical foundations and assumptions of mathematics. E.g. was calculus invented or rather discovered‚ how are theories justified. The final goal
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Week 6 Discussion Question Version 8 Week 6 DQ 2 1. Other than those listed in the text‚ how might the Pythagorean theorem be used in everyday life? 2. Provide examples of each. RESPONSE 1. Other than those listed in the text‚ how might the Pythagorean theorem be used in everyday life? Well other than the way its listed in the text the way that the pythagorean theorem can be used any time is when we have a right triangle‚ we know the length of two sides‚ and we want to find
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