Fermat’s Last Theorem Fermat’s Last Theorem states that no three positive integers‚ for example (x‚y‚z)‚ can satisfy the equation x^n+y^n=z^n if the integer value of n is greater than 2. Fermat’s Last Theorem is an example a Diophantine
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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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CENTRAL LIMIT THEOREM There are many situations in business where populations are distributed normally; however‚ this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the Central Limit Theorem. The Central Limit Theorem states that
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mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics‚ such as Fermat’s Last Theorem and the theory of Hilbert space. The Pythagorean Theorem asserts that for a right triangle‚ the square of the hypotenuse is equal to the sum of the squares of the other two sides. There are many ways to prove the Pythagorean Theorem. A particularly simple one is the scaling relationship
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In mathematics‚ the Pythagorean Theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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4.14 TRIANGLES Triangles are three-sided shapes that lie in one plane. Triangles are a type of polygons. The sum of all the angles in any triangle is 180º. Triangles can be classified according to the size of its angles. Some examples are : Acute Triangles An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below‚ a‚ b and c are all acute angles. Sample Problem 1: A triangle has angles 46º‚ 63º and 71º. What type of triangle is this? Answer:
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Woolsthorpe‚ England‚ January 4‚ 1643‚ Hannah Newton became the proud mother of a small baby boy. The boy’s father had died three months prior to his son’s birth. So to honor him‚ Mrs. Newton named her son Isaac in remembrance of his father‚ Isaac Newton Sr. However‚ she never dreamed her son‚ descended from the humble farmer‚ would one day become one of the greatest scientific minds in history. After raising young Isaac for three years‚ Mrs. Newton decided to marry Barnebous Smith‚ a wealthy
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The Life and Times of Issac Newton In 1642 on Christmas Day an English mathematician‚ astronomer‚ and natural philosopher was born in Woolsthorpe‚ Lincolnshire‚ England. Baby Isaac was born so premature that is was said he could fit into a quart pot. Newton’s father who was a yeoman farmer died a few moths before Isaac was born. It was said that Isaac was to carry on the paternal farm when old enough. When Isaac was three his mother‚ Hannah Ayscough‚ married a clergyman from North Witham‚ the
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extension of the Poisson distribution that generalizes some well-known discrete distributions (Poisson‚ Bernoulli and geometric). It also leads to the generalization of distributions derived from these discrete distributions (i.e. the binomial and negative binomial distributions). We describe three methods for estimating the parameters of the Conway–Maxwell–Poisson distribution. The first is a fast simple weighted least squares method‚ which leads to estimates that are sufficiently accurate for
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Newton ’s laws of motion Newton ’s laws of motion are three physical laws that form the basis for classical mechanics. They describe the relationship between the forces acting on a body and its motion due to those forces. They have been expressed in several different ways over nearly three centuries and can be summarized as follows: 1. First law: The velocity of a body (a state of rest or of uniform motion in a straight line) remains constant unless the body is compelled to change that state
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