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On the Brahmagupta–Fermat–Pell Equation x2 dy2 = ±1 - IMJ-PRG
On the Brahmagupta–Fermat–Pell Equation x2 dy2 = ±1 - IMJ-PRG

... The equation x2 dy 2 = ±1, where the unknowns x and y are positive integers while d is a fixed positive integer which is not a square, has been mistakenly called with the name of Pell by Euler. It was investigated by Indian mathematicians since Brahmagupta (628) who solved the case d = 92, next by B ...
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... where the generalized coordinate unit vectors, ek, are given in parenthesis in the second of these equations and are chosen to be orthogonal in most vibration problems, and the hkk are scale factors associated with the generalized coordinate differentials, dqk. For example, the cylindrical coordinat ...
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... The last category is the easiest to think about, so deal with it first. Gravity makes the object fall, so g is on the list. Consider next the characteristics of the object. Its velocity, as the quantity for which we are solving, is already on the list. Its mass m affects the terminal velocity: A fea ...
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... gives us a starting point (our first coordinate point) and the slope provides the second coordinate point to form two points on the line for graphing. Special cases will need to be discussed such as the form of vertical and horizontal lines. Examples: (10 min.) 1. Sketch the graph of the following l ...
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AP Physics Review - stoweschools.com

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Equations of motion

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