Application There are some applications of Thevenin’s Theorem in our daily lives. Thevenin’s Theorem is very useful to reduce a network with several voltage sources and resistors to an equivalent circuit composed a single voltage source and a single resistance connected to a load only. It is used in simplifying and analysing complex linear networks power systems and circuits where one particular where a particular load resistor‚ RL in the circuit is subject to change‚ and recalculation of the circuit
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Fermat’s last theorem Currently holding the world record for longest standing math problem ever‚ Fermat’s last theorem went unsolved for 365 years. Fermat’s last theorem was one of the largest white whales in the study of math. Over the centuries‚ thousands were puzzled by the impossible problem. From its conception to its solution‚ Fermat’s last theorem was one of the most difficult to solve yet easy to understand problems in mathematics. First‚ I will discuss the theorem and how it was introduced
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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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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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Chebyshev’s Theorem and The Empirical Rule Suppose we ask 1000 people what their age is. If this is a representative sample then there will be very few people of 1-2 years old just as there will not be many 95 year olds. Most will have an age somewhere in their 30’s or 40’s. A list of the number of people of a certain age may look like this: |Age |Number of people | |0 |1 | |1 |2 | |2 |3
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Research Class Group B Research Paper on Central Park Introduction Central Park‚ located in Manhattan‚ New York is the first landscaped public park in the United States and has been a very huge figure in our modern day. More than 30 million people come to visit Central Park per year‚ and has attracted a great load of people who tour it’s phenomenal landscape. In fact‚ according to Sara Cedar Miller book “Central Park‚ An American Masterpiece”‚ the park won the title of
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HYDROLOGY & HYDRAULIC ENGINEERING I LABORATORY REPORT 3 TITLE : BERNOULLI’S THEOREM APPARATUS NAME : ID. NO. : SECTION : 02 EXPERIMENT DATE : 10th December 2009 SUBMISSION DATE : 17th December 2009 GROUP NO. : 2 GROUP MEMBERS : LECTURER : LAB INSTRUCTOR : TABLE OF CONTENT Content | Page | Summary | 2 | Objective | 2 | Theory | 3 - 5 | Equipment/ description of experimental apparatus | 6 | Procedure | 6 | Data and observation | 6a | Analysis | 7‚8
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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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