81 research outputs found
Generalized Euler constants
We define a family {} of generalized Euler constants indexed by
finite sets of primes and study their distribution. These arise from
partial sums of reciprocals of integers not divisible by any prime in . An
apparent monotonicity is investigated. We also prove that a certain property of
these numbers is equivalent to the Riemann Hypothesis.Comment: v2. 13 pages. Minor changes suggested by the referee. To appear in
Math. Proc. Cambridge Phil. So
Large-Nc QCD, Harmonic Sums and the Riemann Zeros
It is shown that in Large-Nc QCD, two--point functions of local operators
become Harmonic Sums. We comment on the properties which follow from this fact.
This has led us to an aside observation concerning the zeros of the Riemann
zeta--function seen from the point of view of Dispersion Relations in Quantum
Theory.Comment: Invited talk at the Montpellier QCD 2010 Conferenc
Sharp bounds for harmonic numbers
In the paper, we first survey some results on inequalities for bounding
harmonic numbers or Euler-Mascheroni constant, and then we establish a new
sharp double inequality for bounding harmonic numbers as follows: For
, the double inequality
-\frac{1}{12n^2+{2(7-12\gamma)}/{(2\gamma-1)}}\le H(n)-\ln
n-\frac1{2n}-\gamma<-\frac{1}{12n^2+6/5} is valid, with equality in the
left-hand side only when , where the scalars
and are the best possible.Comment: 7 page
Pengaruh Penambahan Onggok Difermentasi Acremonium charticola dan Antibiotik dalam Ransum terhadap Kualitas Litter dan Footpad Dermatitis Ayam Broiler
Penelitian ini bertujuan untuk mengkaji pengaruh pemberian pakan onggok
differmentasi Acremonium charticola dan antibiotik terhadap kualitas litter dan
footpad dermatitis (FPD). Penelitian dilaksanakan pada bulan April sampai
dengan Juni 2016 di Kandang Unggas A Fakultas Peternakan dan Pertanian,
Universitas Diponegoro, Semarang.
Materi yang digunakan pada penelitian ini adalah 160 ekor day old chick
broiler jantan strain Lohman dengan bobot awal rata â rata 41,30 ± 2,68 g yang
dipelihara selama 28 hari. Kandang yang digunakan adalah kandang koloni
berukuran 1 Ă 1 Ă 1,5 m dengan 20 unit petak percobaan. Pakan yang digunakan
merupakan pakan yang disusun berdasarkan kebutuhan serta kandungan nutrisi
ransum dengan penambahan onggok yang diferementasi dengan A. charticola dan
antibiotik neomycin, dengan perlakuan sebagai berikut : T0 (kontrol), T1 (kontrol
+ antibiotik), T2 (kontrol + onggok yang terfementasi dengan A. charticola +
antibiotik) dan T3 (kontrol + onggok yang terfementasi dengan A. charticola).
Rancangan yang digunakan adalah rancangan acak lengkap dengan 4 perlakuan
dan 5 ulangan. Parameter yang diukur meliputi kualitas litter (kadar air, pH dan
NH3) serta footpad dermatitis, selanjutnya data dianalisis keragamannya pada
taraf ketelitian 5% dilanjutkan dengan uji duncan dan non parametrik digunakan
uji Kruskal Wallis.
Hasil penelitian menunjukkan bahwa tidak ada pengaruh nyata (P>0,05) pada
NH3 litter yaitu T0 = 9,00±2,24 T1 = 8,40±1,52 T2 =13,00±6,71 T3 = 12,00±4,47,
(P>0,05) pada pH litter T0 = 8,18±0,08 T1 = 8,12±0,08 T2 = 8,04±0,25 T3 =
8,00±0,20 dan (P>0,05) pada Kadar Air litter T0 = 13,71±3,82 T1 = 1,40±0,89 T2
= 1,00±4,27 T3 = 1,40±0,89; tetapi berpengaruh nyata (P<0,05) pada scoring
footpad dermatitis yaitu T0 = 0,00; T1 = 1,40; T2 = 1,00; T3 = 1,40.
Simpulan yang diperoleh yaitu penambahan onggok difermentasi A.
charticola dan antibiotik tidak menyebabkan penurunan kualitas litter tapi
berpengaruh terhadap footpad dermatitis
Impossible?: Surprising solutions to counterintuitive conundrums
Princeton, New Jerseyxii, 235 p.: index; 24 c
Influence du vieillissement thermique sur les proprietes physico-chimiques et la reactivite des catalyseurs mono et bimetalliques a base de platine et/ou rhodium sur alumine ou sur cerine
SIGLECNRS T Bordereau / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
John Napier: life, logarithms, and legacy
John Napier (1550â1617) is celebrated today as the man who invented logarithmsâan enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule: the two would serve humanity as the principal means of calculation until the mid-1970s. Yet, despite Napierâs pioneering efforts, his life and work have not attracted detailed modern scrutiny. John Napier is the first contemporary biography to take an in-depth look at the multiple facets of Napierâs story: his privileged position as the eighth Laird of Merchiston and the son of influential Scottish landowners; his reputation as a magician who dabbled in alchemy; his interest in agriculture; his involvement with a notorious outlaw; his staunch anti-Catholic beliefs; his interactions with such peers as Henry Briggs, Johannes Kepler, and Tycho Brahe; and, most notably, his estimable mathematical legacy. Julian Havil explores Napierâs original development of logarithms, the motivations for his approach, and the reasons behind certain adjustments to them. Napierâs inventive mathematical ideas also include formulas for solving spherical triangles, âNapierâs Bonesâ (a more basic but extremely popular alternative device for calculation), and the use of decimal notation for fractions and binary arithmetic. Havil also considers Napierâs study of the Book of Revelation, which led to his prediction of the Apocalypse in his first book, A Plaine Discovery of the Whole Revelation of St. Johnâthe work for which Napier believed he would be most remembered
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