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Music Bayreuth Festival without Katharina Wagner. This season having already been cancelled, now festival director Katharina Wagner is forced to stay away from work – for health reasons.

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parabola and the graph will open upward (U-shaped). If is a negative number, then the vertex will be the maximum point of the parabola and the graph will open downward (upside down U-shaped). 5. Plot the points and connect with a smooth U-shaped curve. Example 2. Graph the parabola yx2 43x Find the key points y yc3 y-intercept is , point (0,3 ...

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If the second derivative of a function f(x) is defined on an interval (a,b) and f ''(x) > 0 on this interval, then the derivative of the derivative is positive. Thus the derivative is increasing! In other words, the graph of f is concave up. Similarly, if f ''(x) < 0 on (a,b), then the graph is concave down.

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Equity Derivative Strategy European Equities Multi-Strategy A Jargon-Busting Guide to Volatility Surfaces and Changes in Implied Volatility April 23, 2008 3 ! However, we may see other shapes as well – a perfect volatility “smile” is a symmetrical concave-up parabola

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Derivatives can help! The derivative of a function gives the slope. When the slope continually increases, the function is concave upward. When the slope continually decreases, the function is concave downward. Taking the second derivative actually tells us if the slope continually increases or decreases.

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Be kind, it was a rush job. It is based on the same plans this instructible is. The noise floor around here is about -96dB, so the -73dB indicates a 23dB S/N ratio, which is respectable for a distance link. Without the parabola, the reading was in the mid to high 80s, so single digit S/N and very unreliable.