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Numbers

How to add fractions easilly

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My Pre-Cal teacher taught us this. When you are trying to add fractions during a sine or cosine problem, or something that has to do with a unit circle or a triangle, use this: Ex: 1/4 + 3/5 Multiply 5*1, multiply 4*3 and add them for the numberator, and multiply 4*5 for the denominator. So it would be 5+12/20. 17/20. You multiply the denominator of one and numerator of other by the denominator of other and numerator of one.Then add. That will give you the numerator. Then the denomnator you multiply both denominators and add.

Limits to infinity

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If a limit is approaching infinity, the highest exponent on the numerator or denominator determines whether its zero, or infinity

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Simple, Introductory Version for Solving Laplace’s Equation

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This version handles objects in a D=2 universe in rectangular coordinates. Alas many people are unfamiliar with the laws of physics in flatland (D=2). Therefore it might be better to think of this as a D=3 universe in which all D=3 objects are infinitely tall and translationally invariant along the Z axis. This is not the same as considering a thin “D=2” object embedded in the D=3 universe. Rather, each cell represents an area dx∧dy in the XY plane. The spreadsheet to handle this case can be found in reference 1.
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