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Commentary: Symonds ’ curious fat fact
, 2010
"... Presentday readers will no doubt be unperturbed by ..."
A curious implication of Spitzers identity
, 1995
"... . Spitzer's identity can be read as follows: Let W n denote the waiting time of the nth customer in a GjGj1queue, and let N be geometrically distributed on (0; 1; :::) and independent of W n ) 1 1 . Then WN+1 is infinitely divisible. 0. Introduction and summary It is well known that random ..."
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, Section 2 contains basic facts on inf div distributions, and in Section 3 the two ingredients are combined. Sec...
A CURIOUS PROPERTY OF A SECOND FRACTION
, 1968
"... becomes a r b i t r a r i l y large a s x approaches infinity and therefore cannot have r 1 a s a limit. This contradicts our assumption that r> 1. That Him r = 2 x ^ 0 x follows immediately from the fact that P0(A) = X 2 2A. ..."
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becomes a r b i t r a r i l y large a s x approaches infinity and therefore cannot have r 1 a s a limit. This contradicts our assumption that r> 1. That Him r = 2 x ^ 0 x follows immediately from the fact that P0(A) = X 2 2A.
A CURIOUS IDENTITY AND THE VOLUME OF THE ROOT SPHERICAL SIMPLEX
, 2006
"... In this note we shall consider a finite root system R spanning an euclidean space E of dimension ℓ (for all the facts about root systems which we are going to use in this note we refer to [1]). ℓ is called the rank of R. We shall choose once and for all a set of positive roots R + and in R + the set ..."
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In this note we shall consider a finite root system R spanning an euclidean space E of dimension ℓ (for all the facts about root systems which we are going to use in this note we refer to [1]). ℓ is called the rank of R. We shall choose once and for all a set of positive roots R + and in R
ONE CURIOUS PROOF OF FERMAT’S LITTLE THEOREM
, 801
"... Fermat’s little theorem states that for p prime and a ∈ Z, p divides a p − a. This result is of huge importance in elementary and algebraic number theory. For instance, let a and b belong to a finite field Fq, q = p k. Then this theorem can be interpreted as (a + b) p = a p + b p. Thus, raising to t ..."
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, in unramified case it is an isomorphism and Fermat’s little theorem provides the canonical generator of the decomposition group. This theorem has many interesting and sometimes unexpected proofs. One classical proof is based upon properties of binomial coefficients. In fact, (d + 1) p − dp − 1 = ∑p−1 ( ) () p
Our ‘Increasingly Mobile Society’? The Curious Persistence of a False Belief.” The Gerontologist
, 2005
"... Purpose: We call attention to the widespread belief that the United States is an ‘‘increasingly mobile society,’ ’ despite the fact that overall mobility has generally declined since about 1950, and interstate mobility has generally not increased during the same period. We review and extend past res ..."
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Purpose: We call attention to the widespread belief that the United States is an ‘‘increasingly mobile society,’ ’ despite the fact that overall mobility has generally declined since about 1950, and interstate mobility has generally not increased during the same period. We review and extend past
Celebrating the International, Disremembering Shanghai: The Curious Case of the Shanghai International Film Festival
"... The statesanctioned Shanghai International Film Festival (SIFF) is the only film festival accredited by the Fédération Internationale des Associations de Producteurs de Films (FIAPF) in the Greater China region. This paper intends to explore the perceived paradoxes of the SIFF by approaching its va ..."
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understanding of guojihua, but also of the fact that the central and the local government often hold conflicting ideas regarding the social engineering of Shanghai’s image.
Weather Note OBSERVATION OF A CURIOUS ELECTRICAL PHENOMENON IN HAWAII
"... Nature follows her own schedule, not ours; and her phenomena are to be seen only by chance, not by appointment. One may simulate in the laboratory the appearance of a tornado or of lightning, but the realities are to be encountered only in the world outside. Thus, neither of the authors has ever obs ..."
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observed ball lightning, although they would appear to share this deficiency with ample company. In fact, according to Schonland [l],“it appears that no professional observers of the weather, such as meteorologists, have ever seen a fireball, though they must have watched, in all, many thousands
Lworlds The curious preference for low quality and its norms 1
, 2009
"... (“I dream of a country in which the preachers preach soso, and the preached act soso”) Abstract. We investigate a phenomenon which we have experienced as common when dealing with an assortment of Italian public and private institutions: people promise to exchange high quality goods and services (H ..."
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(H), but then something goes wrong and the quality delivered is lower than promised (L). While this is perceived as ‘cheating ’ by outsiders, insiders seem not only to adapt but to rely on this outcome. They do not resent low quality exchanges, in fact they seem to resent high quality ones
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