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On special days, she will repeatedly dial me at work, unrelenting until I pick up, whether I’m teaching a class or not, long past the days of caring about anyone else’s schedule or needs. Queen of the blue Lazy Boy recliner, Empress of All to tell me, You’re never going to bel...
Although the distance formula may be introduced as part of the Geometry curriculum, it also has applications in Algebra and even Pre-calculus. This allows for many possible applications, as it can be used in various ways. One project that students could be assigned to is by modeling something ...
Using the product-to-sum formula and expanding in power series yield 2 g 1 t = t 2 − 1 t 2 cosh 2 t − 2 t sinh 2 t + 3 t 2 = t 2 − 1 ∑ n = 1 ∞ 2 2 n − 2 2 n − 2 ! t 2 n − ∑ n = 1 ∞ 2 2 n 2 n − 1 ! t 2 n + 3 t ...
The proof of this would take roughly the same amount of time as the first proof, but there’s often little pedagogical value in doing all the steps over again in class. So here’s the line I’ll use: “At this point, I invoke the second-most powerful word in mathematics…” and the...
The RLS algorithm is a primary performer in the class of recursive algorithms, which are based on the theory of Kalman filtration, time averaging, and the least squares method. In contrast to the LMS algorithm, the RLS algorithm has its own statistic conception. It works with average values ...