replaces approximate real numbers in expr that are close to zero by the exact integer 0.
- Chop[expr,delta] replaces numbers smaller in absolute magnitude than delta by 0.
- Chop uses a default tolerance of 10-10.
- Chop works on both Real and Complex numbers.
Examplesopen allclose all
Basic Examples (1)
Zero out elements that are very close to 0:
Drop small imaginary parts:
Convert from approximate zeros to exact zeros:
Test if two numbers are the same to a certain tolerance:
They are the same to the default tolerance of :
They are not the same to the tolerance of :
Eliminate very small terms before comparing with Equal:
They are not equal because a small number is not equal to zero:
Once the small terms are eliminated, equality holds:
Properties & Relations (1)
A functional implementation of Chop:
Chop is much faster for large expressions:
Possible Issues (1)
Machine complex numbers have machine reals for both real and imaginary parts:
Consequently, Chop does not make the real part of machine complex numbers an exact zero:
Small imaginary parts from machine complex numbers are eliminated to make a machine real: