Recent content by AZW

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    Can Equations Be Purely Aesthetic?

    Generalized Stokes Equation I love this because it neatly summarizes things you learn in introductory calculus such as FTC, classical Stokes theorem, divergence theorem. It's also really aesthetically beautiful- the latin d signifying the exterior derivative turns into the greek ∂ signifying...
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    Graduate Weird idea (gradients and potentials)

    I believe 0 curl implies conservative if and only if your domain is simply connected. In your case the field has a singularity at 0. http://en.wikipedia.org/wiki/Conservative_vector_field
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    High School I am new to Calculus. rate of change

    Well to find the derivative of f(x) you find the the slope of the tangent line at every point x. To do this imagine a secant line intersecting the function at 2 points, (x,f(x)), and (x+h, f(x+h)). Finding the slope of the secant line, which is [f(x+h) - f(x)]/h, will approximately give you how...