Ruth Sawtell Wallis, 1895-1978

Generalizing Wallis' Formula

The present note generalizes Wallis’ formula, 2  =  . 7 6 . 5 6 . 5 4 . 3 4 . 3 2 . 1 2 , using the EulerMascheroni constant g and the Glaisher-Kinkelin constant A: 2 ln 2 4 = 3 3 2 . 1 2 . 5 4 3 4

4 June 2001 − Ruth

STYLES OF RATIONALITY Ruth

By whatever general principles and mechanisms animal behavior is governed, human behavior control rides piggyback on top of the same or very similar mechanisms. We have reflexes. We can be conditioned. The movements that make up our smaller actions are mostly caught up in perception-action cycles following perceived Gibsonian affordances. Still, without doubt there are levels of behavior contro...

Wallis-Ramanujan-Schur-Feynman

One of the earliest examples of analytic representations for π is given by an infinite product provided by Wallis in 1655. The modern literature often presents this evaluation based on the integral formula 2 π ∫ ∞ 0 dx (x + 1) = 1 2 (

Gabor Szeg6": 1895-1985

The international mathematics community has recently celebrated the 100th anniversary of Gabor SzegS"s birth. 1 Gabor Szeg6 was 90 years old when he died. He was born in Kunhegyes on January 20,1895, and died in Palo Alto on August 7, 1985. His mother's and father's names were Hermina Neuman and Adolf Szeg6, respectively. His birth was formally recorded at the registry of the Karcag Rabbinical ...