Notes 89.01 Perfect, and almost perfect, Pythagorean triangles Introduction In this article we are interested in integer-sided Pythagorean triangles which have the property that, numerically, the perimeter is an exact divisor of the area. For x = 1, it is known there are just two solutions (see, for example, [1]), which are called perfect Pythagorean triangles. These are (6, 8, 10) and (5, 12, 13). For x > 2, the solutions are called almost perfect Pythagorean triangles. We will find the number, Px, of perfect, and almost perfect, triangles for each x and the number, P£, of primitive Pythagorean triangles, for each x.

89.01 Perfect, and almost perfect, Pythagorean triangles

In search of perfect triangles

Three rats were trained to barpress for food on a multiple schedule. One component of the multiple schedule was a FI 2-min schedule. The other component of the multiple schedule was a concurrent FI 2-min FRX schedule. X was constant for each rat, but different between rats. Free shocks were dispensed on a VT 30-sec schedule during the concurrent component. The shocks were “felt” by the rats, but had no effect on behavioral contrast. The data favor emotionality theories over preference theories of behavioral contrast.

https://link.springer.com/content/pdf/10.3758%2FBF03333467.pdf

Gerald E. Gannon

Papers

In search of perfect triangles

Performance and emotionality in the development of behavioral contrast