Cases of Note - Horton hears a ...?

A Note on the Horton-Strahler Number for Random Trees

We consider the Horton-Strahler number S, for random equiprobable binary trees with n nodes. We give a simple probabilistic proof of the well-known result that ES, = log,n + O(1) and show that for every x > 0, P{ 1 S, log,n ( > x} Q D/4x, for some constant D > 0.

Response to Horton and Dewdney

There are some points in the reply of Horton et al. [3] to my comment [2] on their paper [1] which I cannot let stand without a response. I provide here some clarification of how much I proved about the set of points where their law of motion is ill-defined. In a recent article in J. Phys. A [1], Horton et al. present what they claim is a Bohm-type law of motion for point particles, based on a ...

Technical Correspondence: A Note On A Study Of Cases

is the constant of the pumping lemma, the pumped substring cannot be longer than k, and therefore the only other place we might be able to pump would be in the middle as and the middle cs, But this would result in violating the condit ion that l may not be greater than i. Thus, z cannot be pumped without violating the pumping lemma, and hence (7) is not context free. Since context f ree languag...

CSTA Group Hears Binns Speak / On Student A ffairs

By John M stts M aybe tea leaves, a c rysta l ball or horoscope could have done th e trick I No hum an fo resig h t was skillful enough to determ ine th e re would be a downfall of Cal Poly 's Rally com­ m ittee . I ts 10 o r 12 m em bers have alm ost stopped try ing.' H ere is w hat a week-long investiga tion revealed. W hat has happened to Cal Poly's rally com -t m litas could happen to any o...

Note on Two Cases of Cerebral Hæmorrhage