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9 Cards in this Set

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  • Back
_______ 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)