Results 221 to 230 of about 644,844 (268)

Marginality and Triangle Inequality

International Journal of Theoretical Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nánásiová, Oľga, Valášková, Ľubica   +1 more
openaire   +1 more source

The Proofs of Triangle Inequality Using Binomial Inequalities

European Journal of Pure and Applied Mathematics, 2018
In this paper, we introduce the different ways of proving the triangle inequality ku − vk ≤ kuk + kvk, in the Hilbert space. Thus, we prove this triangle inequality through the binomial inequality and also, prove it through the Euclidean norm. The first generalized procedure for proving the triangle inequality is feasible for any even positive ...
Benedict Barnes
exaly   +4 more sources

A Triangle Inequality for Measurement

Applied Categorical Structures, 2003
A measurement is an upper semicontinuous function \(\mu\) from a continuous domain \(D\) equipped with the Scott topology into the nonnegative reals which takes the value 0 on the set \(X\) of maximal elements and induces the restricted Scott topology on this maximal set.
openaire   +2 more sources

Inequalities Associated with the Triangle

Canadian Mathematical Bulletin, 1965
Let R, r, s represent respectively the circumradius, the inradius and the semiperimeter of a triangle with sides a, b, c. Let f(R, r) and F(R, r) be homogeneous real functions. Let q(R, r) and Q(R, r) be real quadratic forms. The latter functions are thus a special case of the former.
openaire   +2 more sources

Some Inequalities for a Triangle

The Mathematical Gazette, 1964
Let O be an interior point of a triangle ABC . Let x, y, z denote the distances from O to the vertices of ABC and
openaire   +1 more source

“Some Inequalities for a Triangle”

The Mathematical Gazette, 1969
In a paper with the same title, Carlitz [1] proves two inequalities about a triangle ABC and an internal point O :
openaire   +1 more source

The Erdös Inequality and Other Inequalities for a Triangle

The American Mathematical Monthly, 1961
(1961). The Erdos Inequality and Other Inequalities for a Triangle. The American Mathematical Monthly: Vol. 68, No. 3, pp. 226-230.
openaire   +1 more source

A Two-Triangle Inequality: 11022

The American Mathematical Monthly, 2005
Solution by Walther Janous, Ursulinengymnasium, Innsbruck, Austria. Write Fi for the area of triangle Ti. For the lower bound, we use ala2 + blb2 + c1c2 > 4/3/ F1F2 from the book Recent Advances in Geometric Inequalities (Kluwer, 1989) by D. S. Mitrinovic et al. (p.
Razvan A. Satnoianu, Walther Janous
openaire   +2 more sources

The Triangle Inequality

The American Mathematical Monthly, 1978
(1978). The Triangle Inequality. The American Mathematical Monthly: Vol. 85, No. 2, pp. 105-106.
openaire   +1 more source

Similarity, kernels, and the triangle inequality

Journal of Mathematical Psychology, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jäkel, F., Schölkopf, B., Wichmann, F.
openaire   +2 more sources