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Lecture of Mathematics (absolute value)

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Lecture of Mathematics

absolute value




About absolute value:


In mathematics, the absolute value or modulus |x| of a real number x is the non-negative value of x without regard to its sign. Namely, |x| = xfor a positive x, |x| = x for a negative x (in which case −x is positive), and |0| = 0. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.




Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example, an absolute value is also defined for the complex numbers, the quaternionsordered ringsfields and vector spaces. The absolute value is closely related to the notions of magnitudedistance, and norm in various mathematical and physical contexts.

Read more in Wikipedia


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