منابع مشابه
Integer Powers of Arcsin
New simple nested sum representations for powers of the arcsin function are given. This generalization of Ramanujan’s work makes connections to finite binomial sums and polylogarithms. AMS Subject Classification: 33B10 (30B99, 40B05)
متن کاملa corpus-hased study of units of translation in english-persian literary translation
چکیده ندارد.
15 صفحه اولPowers of Wholes and of Parts
That i s just the practice, however. The problem has always b een how i t works in theory, and how i t does so without w reaking havoc upon a fairly successful way of understanding the world. There i s an idea that a l l other sciences rest on, and are ul timately expla ined in terms of, fundamental phys ics . Emergentism is at odds with this because i t tell s us th at th e bottom level isn’t ...
متن کاملComplete sequences of sets of integer powers
Call S complete if Σ(S) contains all sufficiently large integers. It has been known for some time (see [B]) that if gcd(a, b) = 1 then the (nondecreasing) sequence formed from the values ab with s0 ≤ s, t0 ≤ t ≤ f(s0, t0) is complete, where s0 and t0 are arbitrary, and f(s0, t0) is sufficiently large. In this note we consider the analogous question for sequences formed from pure powers of integ...
متن کاملHooks and Powers of Parts in Partitions
Many textbooks contain material on partitions. Two standard references are [A] and [S]. A partition of a natural integer n with parts λ1, . . . , λk is a finite decreasing sequence λ = (λ1 ≥ λ2 ≥ · · · ≥ λk > 0) of natural integers λ1, . . . , λk > 0 such that n = ∑k i=1 λi. We denote by |λ| the content n of λ. Partitions are also written as sums: n = λ1 + · · ·+ λk and one uses also the (abusi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1987
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1987-0911018-8