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Mathematics, 23.09.2019 18:30, 200251
One way to compute the exponential function ex is to truncate its taylor series expansion around x =0, ex =1+x+ 1 2! x2+ 1 3! x3+···. unfortunately, many terms are required for accuracy if |x| is large. but a special property of the exponential is that e2x =(ex)2. this leads to a scalingandsquaring method: dividex by2repeatedlyuntil|x|< 1/2,use the taylor series (16 terms should be more than enough), and square the result repeatedly. write a function expss(x) that performs these three steps. (the functions cumprod and polyval can with
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One way to compute the exponential function ex is to truncate its taylor series expansion around x =...
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