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You're reading from  Scientific Computing with Python - Second Edition

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Published inJul 2021
Reading LevelIntermediate
PublisherPackt
ISBN-139781838822323
Edition2nd Edition
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Authors (3):
Claus Führer
Claus Führer
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Claus Führer

Claus Führer is a professor of scientific computations at Lund University, Sweden. He has an extensive teaching record that includes intensive programming courses in numerical analysis and engineering mathematics across various levels in many different countries and teaching environments. Claus also develops numerical software in research collaboration with industry and received Lund University's Faculty of Engineering Best Teacher Award in 2016.
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Underflow – Machine epsilon

Underflow occurs when an operation results in a rational number that falls into the gap at zero; see Figure 2.1.

The machine epsilonor rounding unit, is the largest number  such that .

Note that  on most of today's computers. The value that applies on the actual machine you are running your code on is accessible using the following command:

import sys 
sys.float_info.epsilon # 2.220446049250313e-16

The variable sys.float_info contains more information on the internal representation of the float type on your machine.

The function float converts other types to a floating-point number, if possible. This function is especially useful when converting an appropriate string to a number:

a = float('1.356')
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Authors (3)

author image
Claus Führer

Claus Führer is a professor of scientific computations at Lund University, Sweden. He has an extensive teaching record that includes intensive programming courses in numerical analysis and engineering mathematics across various levels in many different countries and teaching environments. Claus also develops numerical software in research collaboration with industry and received Lund University's Faculty of Engineering Best Teacher Award in 2016.
Read more about Claus Führer