Lecture20101104_2

Lecture20101104_2 - Maple can handle a very large number of...

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(1) (2) O O Maple can handle a very large number of digits, the maximum number of digits in our computer. Maple_floats(MAX_DIGITS); 38654705646 The result of the function D_H=evalhf(Digits); D_H = 15. is the number of decimal digits that the corresponding computer hardware & software platform can reliably deliver to Maple. The next larger floating-point number from 1 is z = 1 C b 1 K t , thus the distance between & 1 is b 1 K , which is known as machine epsilon. e m = b 1 K We say that flx overflows if O max x : e F and that underflows if 0 ! ! min : 0 e The number u = e 2 = b 1 K 2 is called the unit roundoff. Floating point arithmetic For an operation "op" which stand for +, -, *, /, for any two floating-point numbers, a and b , fla op = $ 1 C d where d We use , , , to indicate floating-point operations. 4 y = flflx C fly = c d a multiplicative inverse, thus defining division. C
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This note was uploaded on 02/09/2011 for the course MATH 2051 taught by Professor Dr.a.wacher during the Fall '11 term at Durham.

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Lecture20101104_2 - Maple can handle a very large number of...

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