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How to measure a classifier's quality. You've just written a new classification algorithm and want to measure how well it performs on a test set, and compare it with other classifiers. What performance measure should you use? There are several standard answers. Let's assume the classifier gives an output y(x), where x is the input, which we won't discuss further, and that the true target value is t. In the simplest discussions of classifiers, both y and t are binary variables, but you might care to consider cases where y and t are more general objects also.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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