نتایج جستجو برای: 8k
تعداد نتایج: 603 فیلتر نتایج به سال:
We develop a substantial enhancement of the efficient congruencing method to estimate Vinogradov’s integral of degree k for moments of order 2s, thereby obtaining for the first time near-optimal estimates for s > 5 8k . There are numerous applications. In particular, when k is large, the anticipated asymptotic formula in Waring’s problem is established for sums of s kth powers of natural number...
The NOAO Mosaic CCD Camera consists of 8 CCDs producing an 8K x 8K format. The Mosaic Data Handling System (MDHS) receives the data in real time as it is read out of the detector. A data feed client (DFC) receives data packets from the detector system and broadcasts them on a message bus. A data capture agent (DCA) receives the data and writes it to a distributed shared image (DSIM). The images...
We present the results of an HK ′ wide-field survey encompassing the Hubble Deep Field and its Flanking Fields. Our wide-field survey provides uniform coverage of an area 61.8 arcmin to a depth equivalent to K = 20.1 at 5 σ. We have also imaged the Hubble Deep Field in HK , providing uniform coverage of an area 7.8 arcmin to a depth equivalent to K = 21.2 at 5 σ. Using these data in combination...
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For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainbow AP (m); that is, an m-term arithmetic progression, all of whose terms receive different colors. We prove that 17 8 k +O(1) ≤ sr(3, k) ≤ 15 7 k + O(1) and sr(m, 2) > ⌊ 2 2 ⌋, improving the previous bounds of Alon, Caro...
We have investigated the properties of the ultracold neutron converter materials deuterium D2, oxygen O2 and heavy methane CD4 in the temperature range between 8K and room temperature. The experimental program was performed at the FUNSPIN beamline of the Swiss Spallation Neutron Source (SINQ) at Paul Scherrer Institut (PSI). In this paper the measured cold neutron total cross-sections for D2, O...
Using an elementary method, we show that an odd number of Majorana fermions in 8k+1 dimensions suffer from a gauge anomaly that is analogous to the Witten global gauge anomaly. This anomaly cannot be removed without sacrificing the perturbative gauge invariance. Our construction of higher-dimensional examples (k ≥ 1) makes use of the SO(8) instanton on S. ∗) E-mail: [email protected] ∗∗) E-mail: hs...
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