Ads
related to: absolute value inequality number linekutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
As noted above, the absolute value of a real or complex number is the distance from that number to the origin, along the real number line, for real numbers, or in the complex plane, for complex numbers, and more generally, the absolute value of the difference of two real or complex numbers is the distance between them.
A number line is a picture of a straight line ... An inequality between numbers corresponds to a ... or equivalently the absolute value of the second number minus the ...
The absolute difference of two real numbers and is given by | |, the absolute value of their difference. It describes the distance on the real line between the points corresponding to x {\displaystyle x} and y {\displaystyle y} .
The standard absolute value on the integers. The standard absolute value on the complex numbers.; The p-adic absolute value on the rational numbers.; If R is the field of rational functions over a field F and () is a fixed irreducible polynomial over F, then the following defines an absolute value on R: for () in R define | | to be , where () = () and ((), ()) = = ((), ()).
The Euclidean norm of a complex number is the absolute value (also called the modulus) of it, if the complex plane is identified with the Euclidean plane. This identification of the complex number x + i y {\displaystyle x+iy} as a vector in the Euclidean plane, makes the quantity x 2 + y 2 {\textstyle {\sqrt {x^{2}+y^{2}}}} (as first suggested ...
(Note that the directions of the inequalities are reversed from those in the additive notation.) If Γ is a subgroup of the positive real numbers under multiplication, the last condition is the ultrametric inequality, a stronger form of the triangle inequality |a+b| v ≤ |a| v + |b| v, and | ⋅ | v is an absolute value.
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size. The main types of inequality are less than (<) and greater than (>).
In mathematics the estimation lemma, also known as the ML inequality, gives an upper bound for a contour integral. If f is a complex -valued, continuous function on the contour Γ and if its absolute value | f ( z ) | is bounded by a constant M for all z on Γ , then
Ads
related to: absolute value inequality number linekutasoftware.com has been visited by 10K+ users in the past month