Remark on the preceding Paper

Remarks on the Preceding Paper Of

It is obvious that lp (/> 2:1) or any Hubert space satisfies (A). In §3 it is shown that Lp (p>l) does likewise. The method of proof is entirely different from that of Clarkson. In §4 it is shown that if X is any Banach space having the property that every function on a linear interval to X, which satisfies a Lipschitz condition, is differentiable almost everywhere, then also every function of ...

Remark on a Recent Paper by Hollcroft

The method in mathematical logic invented by Schönfinkelf and developed in detail by Curry | is important in that it completely eliminates the variable from the formal presuppositions of logic and mathematics. Constructed according to Schönfinkel's scheme the primitive language of mathematical logic consists only of a few constants; variables, if wanted as a convenience, are introduced afterwar...

A remark on the means of the number of divisors

‎We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$‎, ‎where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$‎, ‎with $d(n)$ denoting the number of positive divisors of $n$‎. ‎Also‎, ‎we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.

A remark on a paper by Evans and Harris on the point spectra of Dirac operators

The Epr Paper and Its Preceding and Succeeding Perspectives

When Einstein’s revolutionary interpretation of Planck’s and other experimental results related to microscopic phenomena came out in the early years of the 20 century, the ideas he put forward were not accepted by the physics community at large due to the fact that he challenged the accepted wave theory. The wave-particle duality of light was nothing less than scientific blasphemy! However, as ...