Actually the answer is probably a bit overkill considering the fast-track option of a clever change of variables. I maintained it as may be useful to those who would need tools when a≠−1a≠−1. As for the last conjecture, it may be harder to reduce than previously...
Therefore, I would like to ask for some book recommendations or sources on how to learn and improve mental arithmetic and mental math skills. What are some books, websites, courses, or other resources that can help me? calculus integration soft-question book-recommendation...
we have to kind of adapt to this new world of technology because in a sense, I look back to high school and, like, I would get fed up with calculus and classes that I just, like you mentioned, I was bored by them and I was like, “When am I ever gonna need to know this?”...
nb.int64), fastmath=True,nopython=True) def moving_average( array, window ): ret = np.cumsum(array) ret[window:] = ret[window:] - ret[:-window] ma = ret[window - 1:] / window n = np.empty(window-1); n.fill(np.nan) return np.concatenate((n.ravel(), ma.ravel())) ...
calculus courses, for instance, all center around the concept of a derivative, with everything being taught merely being different extensions and applications of that core idea. If you really understand what a derivative is and how it works, those other pieces will be much easier to learn....
Here’s a story from years ago, when the Wolfram Language—in the form ofMathematica—was first being used to teach calculus. It’s pretty common for calculus students to have trouble understanding the concept of a function. But professors told me that they started noticing that when they wer...
calculus word problem solvers prealgebra,combining like terms how to work algebra equations convert a whole number to decimal ti-83 calculator factorer holt mathematic One Step Equation Practice Worksheet multiplying and dividing decimal in order of operation application of algebra download ...
Whether you're studying the flight of birds that beat their wings to rise into the sky or the rising of gas from a chimney into the atmosphere, you can study how objects lift themselves against the force of gravity to better learn about these methods of "flight." ...
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In the standard S U ( 2 ) graphical calculus, this is usually indicated with a sign next to the node [56,57,58]. For our calculations, this is unnecessary, and we avoid adding this extra layer of complexity. Similarly to (A11) we have . (A20) The ( 3 j m ) satisfy the ...