Ads
related to: triangle inequalities exampleskutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
Three examples of the triangle inequality for triangles with sides of lengths x, y, z.The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
The parameters most commonly appearing in triangle inequalities are: the side lengths a, b, and c;; the semiperimeter s = (a + b + c) / 2 (half the perimeter p);; the angle measures A, B, and C of the angles of the vertices opposite the respective sides a, b, and c (with the vertices denoted with the same symbols as their angle measures);
Triangle inequality: If a, b, and c are the lengths of the sides of a triangle then the triangle inequality states that +, with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about vectors and vector lengths :
Pages in category "Triangle inequalities" The following 8 pages are in this category, out of 8 total. This list may not reflect recent changes. *
The Minkowski inequality is the triangle inequality in (). In fact, it is a special case of the more general fact ... are non-negative, as we can see from the example ...
Euler's inequality, in the form stating that, for all triangles inscribed in a given circle, the maximum of the radius of the inscribed circle is reached for the equilateral triangle and only for it, is valid in absolute geometry. [7]
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
d(x, z) ≤ max {d(x, y), d(y, z)} (strong triangle inequality or ultrametric inequality). An ultrametric space is a pair ( M , d ) consisting of a set M together with an ultrametric d on M , which is called the space's associated distance function (also called a metric ).
Ads
related to: triangle inequalities exampleskutasoftware.com has been visited by 10K+ users in the past month