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9 Cards in this Set

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 _______ is the name given to the error that occurs when one attempts to use a number that is too large (in magnitude) to represent. over flow If p is approximated by p* the formula for relative error is given by _______. |p-p*| ------ p A method is said to be _____ if small changes in the input lead to small changes in the output. stable Suppose {Bn}from n=1 to infinity -> 0 and {an}from n=1 to infinity -> a. If there exists k > 0 where |an - a| =< k|Bn| we say an -> a with rate _________. OBn In the binary representation of a floating opint number, the bits are partitioned into the sign bit, the exponent, and the _________ mantissa In Maple, the function _______ is used to compute the decimal value for a floating point number. evalf{}; By definition, f has a fixed point at x=p provided _______. f(p) = p. If g belongs to C[a,b] and ________ for all x belonging to [a,b] then g has a fixed-point in [a,b]. g(x) belongs to [a,b] Taylor's Theorem states f(x) = Pn(x) + Rn(x), where Pn(x) = f(x0) + __________ + f``(x0)(x-x0)^2 ------ 2! f`(x0)(x-x0)