CC25468471
... but mostly for small flow deflections. The piston theory of Lighthill [2] neglects the effects of secondary wave reflection. Appleton [3] and McInthosh [4] have included these effects. Hui’s [5] theory is valid for wedges of arbitrary thickness oscillating with small amplitude provided the bow shock ...
... but mostly for small flow deflections. The piston theory of Lighthill [2] neglects the effects of secondary wave reflection. Appleton [3] and McInthosh [4] have included these effects. Hui’s [5] theory is valid for wedges of arbitrary thickness oscillating with small amplitude provided the bow shock ...
All is Number
... as their physical counterparts. It is, for instance, an undisputed fact that the sophistication of cosmological models faithfully follows developments in number theory. While the concept of infinity remains mathematically unresolved the cosmos remains infinite. However, whether number theories are i ...
... as their physical counterparts. It is, for instance, an undisputed fact that the sophistication of cosmological models faithfully follows developments in number theory. While the concept of infinity remains mathematically unresolved the cosmos remains infinite. However, whether number theories are i ...
Full text
... Proof of (ii): Note that /? > 2 and g(m) > 4 so Proof of (Hi): If m is even and /(m) > g(#f), then film) > f(m) > g(m) = g(2m). If m is odd and f(m) > 2g(m), then f(2m) = f(m) > 2g(m) = g(2m). Proof of Lemma 2.5: We call m "good" if f(m)> 2g(m) or if m is even and /(m) > ^(^i). Note that, by (ii) an ...
... Proof of (ii): Note that /? > 2 and g(m) > 4 so Proof of (Hi): If m is even and /(m) > g(#f), then film) > f(m) > g(m) = g(2m). If m is odd and f(m) > 2g(m), then f(2m) = f(m) > 2g(m) = g(2m). Proof of Lemma 2.5: We call m "good" if f(m)> 2g(m) or if m is even and /(m) > ^(^i). Note that, by (ii) an ...
POWER SUM IDENTITIES WITH GENERALIZED STIRLING
... k! j=1 j for all complex numbers α 6= 0 and all positive integers k. This definition is consistent with the definition given by Flajolet and Prodinger [5]. When α = n is a positive integer, S(n, k) are the classical Stirling numbers of the second kind [3]. The purpose of this note is to prove the fi ...
... k! j=1 j for all complex numbers α 6= 0 and all positive integers k. This definition is consistent with the definition given by Flajolet and Prodinger [5]. When α = n is a positive integer, S(n, k) are the classical Stirling numbers of the second kind [3]. The purpose of this note is to prove the fi ...
List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.