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A Stronger Triangle Inequality, Herb Bailey
A Stronger Triangle Inequality, Herb Bailey
Mathematical Sciences Technical Reports (MSTR)
The triangle inequality is basic for many results in real and complex analysis. The geometric form states that the sum of any two sides of a triangle is greater than the third. This was included as Proposition XX in the first book of Euclid's Elements. Many geometric triangle inequalities involving sides, angles, altitudes, inscribed circles and circumscribed circles have been found. Hundreds of these inequalities are summarized in [l] and [2]. A nice geometric proof of the triangle inequality is given in [3].
Cwatsets: Weights, Cardinalities, And Generalizations, Richard Mohr
Cwatsets: Weights, Cardinalities, And Generalizations, Richard Mohr
Mathematical Sciences Technical Reports (MSTR)
This report provides an upper bound on the average weight of an element in a cwatset and discusses the ratio of the cardinality of a cwatset to the cardinality of the group containing the cwatset. The concept of a generalized cwatset is also introduced.
Divergence Diagrams: More Than Cantor Dust Lies At The Edge Of Feigenbaum Diagrams, John H. Rickert, Aaron Klebanoff
Divergence Diagrams: More Than Cantor Dust Lies At The Edge Of Feigenbaum Diagrams, John H. Rickert, Aaron Klebanoff
Mathematical Sciences Technical Reports (MSTR)
The dynamical system analysis of the logistic map f(x)=ax(1-x) is studied for values of a greater than 4.