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  • Rotating Lines

    Problem: Given a line of slope m in the Euclidean plane, what is the slope m’ of the line rotated (counterclockwise) by angle θ? Solution: Suppose we have an equation for the line of the form y = mx + b. We can ignore b as it is unrelated to the slope (in effect, we […]

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    Jun 28th, 2010 | Filed under Uncategorized
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  • So Close, Yet So Far Away

    I humbly entreat any analytical intellects of greater constitution than my own (of which, to be sure, there is no dearth) to enlighten me in matters mathematical. First of all, if I have a 5-dimensional space which consists of a 3-dimensional Euclidean space plus direction (defined by inclination and azimuth) — that is, the set […]

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    Jun 15th, 2010 | Filed under Uncategorized
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Archive for June, 2010