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Squared From Wikipedia

In algebra, the square of a number is that number multiplied by itself. To square a quantity is to multiply it by itself. Its notation is a superscript "2"; a number x squared is written as x2. Thus: If x is a positive real number, the value of x2 is equal to the area of a square of edge length x. A positive integer that is the square of some other integer, for example 25 which is 52, is known as a square number, or more simply a square. The square of any nonnegative integer n can be represented as the sum 1 + 1 + 2 + 2 + ... + (n − 1) + (n − 1) + n. For instance, the square of 4 or 42 is equal to 1 + 1 + 2 + 2 + 3 + 3 + 4 = 16. This is the result of adding a column and row of thickness 1 to the square graph of three (like a tic tac toe board). You add three to the side and four to the top to get four squared. This can also be useful for finding the square of a large number quickly. For instance, 522 = 502 + 50 + 51 + 51 + 52 = 2500 + 204 = 2704. This can be written as a series in the following way: , or equivalently using recursion, (ends at N=1, does not work for negative numbers). In addition, it can be seen that another equivalent sum may be used to represent the square of a number. The square of a number N is the sum of the first N odd numbers. The square of 1 is 1; the square of 2 is 1 + 3 = 4; the square of 7 is 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49. and so on. This, of course is the same as the previous sum method but with every two numbers following the initial number added to each other: 1 + ( 1 + 2 ) + ( 2 + 3 ) + ( 3 + 4 ) + ... = 1 + 3 + 5 + 7 + ... The sum of the series is The first terms of this series (the square pyramidal numbers) are : 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201... (sequence A000330 in OEIS) [edit] Uses Since the product of real negative numbers is positive, and the product of two real positive numbers is also positive, it follows that no sq · Read more about Squared

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Google Squared - Google Squared takes a category and creates a starter 'square' of information, automatically fetching and organizing facts from across the web.
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Square D: Information from Answers.com - Company Perspectives Square D is a market leading, global brand of Schneider Electric for NEMA type industrial controls, electrical distribution,
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R-Squared Definition - R-Squared Definition - Definition of R-Squared Definition on Investopedia - A statistical measure that represents the percentage of a fund or security's  ...
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E-Squared Engineering Home - Welcome to the E-Squared Engineering website! E-Squared Engineering ... (ITS) Commercial Vehicle Operations, Electronic Payment Systems, Transit Systems, ...
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Square D - Wikipedia, the free encyclopedia - Square D is an American manufacturer of equipment used to control and ... Square D was founded in 1903 in Detroit, Michigan by Bryson Dexter Horton who is ...
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ai squared - making accessibility simple - Ai Squared is here to help – for over twenty years, we've been helping people use their computers with greater comfort and ease. We offer a range of magnification ...
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Square D Online Catalog : A-to-Z Product Index - Solutions. Services. Support. About Us. Square D > Online Catalog > A-to-Z Product Index ... Type KX Square Multi-Function 17-87. Type KY, KZC Security Station 17 ...
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Q-Squared - Wikipedia, the free encyclopedia - Although the novel was primarily based on and around the characters of Star Trek: ... notable for bringing together the characters of Q from Star Trek: The ...
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Zed | Mobile Media Solutions - Zed, formerly 9 Squared, is a mobile media solutions company based out of Denver, Colorado. They are the #1 independent mobile content distributor in the United States.
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Schneider Electric is the Global Specialist in Energy ... - A global specialist in energy management providing solutions, products, services, and support in Electrical Distribution and Automation and Control
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"Z-Squared - Your Way Beyound the Square" - Z-Squared - Your way beyound the square
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