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Quadratic Formula ... Difference of Squares ... sum of squares and cubes of first 'N' natural no`s.
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library.thinkquest.org/20991/gather/formula/index.html
library.thinkquest.org/20991/gather/formula/index.html
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In Reply to: Better formula posted by Joel on June 17, 2002 at 23:21:45: ... it should be 1 + (n-1)/sqrt(2) as you said, but whereja get that formula for the number of bearings in the pyramid? It gives 1.33, 6, 16, 33.33 as the number of bearings for stacks 1, 2, 3 and 4 high. Should be 1, 5, 14, 30, shouldn't it?
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library.thinkquest.org/20991/gather/main/messages/12734...
library.thinkquest.org/20991/gather/main/messages/12734.html
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Estermann, T. "On the Representation of a Number as a Sum of Squares." Acta Arith. ... "Proof of the Formula for r(n) ," "The Generating Function of r(n) ...
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mathworld.wolfram.com/SumofSquaresFunction.html
mathworld.wolfram.com/SumofSquaresFunction.html
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26-Aug-03: Corrected Sum of Squares: Definition Formula ... Using the definition formula, the corrected sum of squares is ... corrected sum of squares, and that is the sum of squared...
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web.utk.edu/~sknowe/FWF313%20web/Review%20of%20Basic%20...
web.utk.edu/~sknowe/FWF313%20web/Review%20of%20Basic%20Statistical%20Formulas_files/slide0006.htm
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First moment, Sum of squares ... Sum of squares, variance of means ... Laboratorians tend to calculate the SD from a memorized formula, without making much note of the terms.
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www.westgard.com/lesson35.htm
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Haydee Gelpi Broward Community College Florida -----Original Message----- From: Russell T. Hurlburt [mailto:[EMAIL PROTECTED]] Sent: Monday, August 06, 2001 3:35 AM To: [EMAIL PROTECTED] Subject: Re: computational formula - sum of squares Judith-- Here 'tis. ... computational formula - sum of squares Judith A. Roberts...
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www.mail-archive.com/tips@fre.fsu.umd.edu/msg12379.html
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Applet that finds the decomposition of a number into squares. ... Notice that it does not find the prime factorization of the number entered by the user, so some cases where two squares would be enough will be represented as a sum of three squares. For example, 10000998089 = 953172 + 302602.
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www.alpertron.com.ar/FSQUARES.HTM
www.alpertron.com.ar/FSQUARES.HTM
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A Short Proof Of Jacobi's Formula For The Number Of Representations Of An Integer As A Sum Of Four Squares (1993) [4 citations — 1 self]
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citeseer.ist.psu.edu/andrews93short.html
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Remark. It is clear that the third formula and the fourth are identical (use the property to see it). ... The above formulas are important whenever need rises to transform the product of sine and cosine into a sum. This is a very useful idea in techniques of integration.
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www.sosmath.com/trig/prodform/prodform.html
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