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The odd moments of ranks and cranks
Andrews, G.E.,Chan, S.H.,Kim, B. Academic Press 2013 Journal of combinatorial theory. Series A Vol.120 No.1
In this paper, we modify the standard definition of moments of ranks and cranks such that odd moments no longer trivially vanish. Denoting the new k-th rank (resp. crank) moments by N@?<SUB>k</SUB>(n) (resp. M@?<SUB>k</SUB>(n)), we prove the following inequality between the first rank and crank moments:M@?<SUB>1</SUB>(n)>N@?<SUB>1</SUB>(n). This inequality motivates us to study a new counting function, ospt(n), which is equal to M@?<SUB>1</SUB>(n)-N@?<SUB>1</SUB>(n). We also discuss higher order moments of ranks and cranks. Surprisingly, for every higher order moments of ranks and cranks, the following inequality holds:M@?<SUB>k</SUB>(n)>N@?<SUB>k</SUB>(n). This extends F.G. Garvan@?s result on the ordinary moments of ranks and cranks.
Andrews, Allen H,Scofield, Taylor R. The Korean Society of Fisheries and Aquatic Scienc 2021 Fisheries and Aquatic Sciences Vol.24 No.1
Gindai (Pristipomoides zonatus) is one of six snappers in a management complex called the Deep 7 of the Hawaiian Islands. Little is known about its life history and a preliminary analysis of otolith thin sections indicated the species may exhibit moderate growth with a lifespan approaching 40 years. Preliminary age estimates from the previous study were reinvestigated using the same otolith sections in an attempt to validate those ages with bomb radiocarbon (<sup>14</sup>C) dating. From the misalignment of birth years for the otolith <sup>14</sup>C measurements with regional references - the post-peak bomb <sup>14</sup>C decline period - it was concluded that previous ages were inflated from overcounting of the earliest growth zone structure in otolith sections. The oldest gindai was re-aged to 26 years once the age reading was adjusted for early overcounting, 13 years younger than the original estimate of 39 years for this fish. In general, the earliest otolith growth of gindai was massive and complicated by numerous subannual checks. The approach of lumping the early growth structures was supported by the alignment of <sup>14</sup>C measurements from otolith core material (first year of growth). The result was greater consistency of calculated birthdates with the <sup>14</sup>C decline reference, along with minor offsets that may indicate age estimation was imprecise by a few years for some individuals. The revised von Bertalanffy growth function applied to the validated age-at-length estimates revealed more rapid growth (k = 0.378 cf. 0.113) and a lifespan of approximately 30 years. The findings presented here are a case study of how the bomb <sup>14</sup>C decline period can be used as a tool in the refinement of age reading protocols.
Andrews, Jeffrey G.,Buzzi, Stefano,Choi, Wan,Hanly, Stephen V.,Lozano, Angel,Soong, Anthony C. K.,Zhang, Jianzhong Charlie IEEE 2014 IEEE journal on selected areas in communications Vol.32 No.6
<P>What will 5G be? What it will <I>not</I> be is an incremental advance on 4G. The previous four generations of cellular technology have each been a major paradigm shift that has broken backward compatibility. Indeed, 5G will need to be a paradigm shift that includes very high carrier frequencies with massive bandwidths, extreme base station and device densities, and unprecedented numbers of antennas. However, unlike the previous four generations, it will also be highly integrative: tying any new 5G air interface and spectrum together with LTE and WiFi to provide universal high-rate coverage and a seamless user experience. To support this, the core network will also have to reach unprecedented levels of flexibility and intelligence, spectrum regulation will need to be rethought and improved, and energy and cost efficiencies will become even more critical considerations. This paper discusses all of these topics, identifying key challenges for future research and preliminary 5G standardization activities, while providing a comprehensive overview of the current literature, and in particular of the papers appearing in this special issue.</P>
Threshold voltage drifts in silicon nitride chemfets
Andrews, M.K.,S Ko 경북대학교 센서기술연구소 1995 센서技術學術大會論文集 Vol.6 No.1
Much has been written about the response times and hysteresis effects of chemfets, but there is less information on long term drift performance, which is an aspect which will significantly affect their general acceptance. To investigate this, CV measurements were done on model gate systems comprising buffer/nitride-oxide/silicon over times of hundreds of hours. We show that the flat-band voltage of this system drifts systematically positive at 1-2 mv/day for both p and n-silicon, due to a build-up of negative charge at the liquid interface. SIMS analysis shows that the initial drift, particularly at high pH, is probably due to charged metal complexes forming on the surface. The longer term drift is electrochemical in origin. It occurs for both p and n silicon, and is related to the electric field across the gate dielectric.
Andrews Nsiah Ashong,Mokyoung Lee,Sung‑Tae Hong,Youn Seoung Lee,Jeoung Han Kim 대한금속·재료학회 2021 METALS AND MATERIALS International Vol.27 No.4
Both Al and carbon-fiber-reinforced polymer (CFRP) are being investigated as lightweight materials for automobile applications. To form effective hybrid materials from Al and CFRP, strong bonding between these two dissimilar materials is critical. Here, we analyzed the microstructure and tensile shear strength of joints between an Al alloy (AA 6014) and CFRP fabricatedusing refill friction stir spot welding (RFSSW). A maximum tensile shear load of 1.6 kN was measured for untreated AA6014/CFRP specimens. Microscopy images of the Al–CFRP joints exhibited tight bonding along the joint interface withoutany noticeable defects. Moreover, Al–O–C, C–C, and C=O chemical bonds were detected on the tensile–shear fracturesurfaces of both the Al alloy and CFRP sheets using X-ray photoelectron spectroscopy. Micro-mechanical interlocking andchemical bond formation were the key factors contributing to the tensile shear strength of the RFSSW joint. This studydemonstrated that the RFSSW technique is a suitable bonding method for manufacturing metal–polymer hybrid structures.
Andrews, Lester,Cho, Han-Gook ACS AMERICAN CHEMICAL SOCIETY 2016 Inorganic Chemistry Vol.55 No.17
<P>Laser ablated Ti, Zr, and Hf atoms react with phosphine during condensation in excess argon or neon at 4 K to form metal hydride insertion phosphides (H2P-MH) and metal dihydride phosphinidenes (HP=MH2) with metal phosphorus double bonds, which are characterized by their intense metal-hydride stretching frequencies. Both products are formed spontaneously on annealing the solid matrix samples, which suggests that both products are relaxed from the initial higher energy M-PH3 intermediate complex, which is not observed. B3LYP (DFT) calculations show that these phosphinidenes are strongly agostic with acute H-P=M angles in the 60 degrees range, even smaller than those for the analogous methylidenes (carbenes) (CH2=MH2) and in contrast to the almost linear H-N=Ti subunit in the imines (H-N=TiH2). Comparison of calculated agostic and terminal bond lengths and covalent bond radii for HP=TiH2 with computed bond lengths for Al2H6 finds that these strong agostic Ti-H bonds are 18% longer than single covalent bonds, and the bridged bonds in dialane are 10% longer than the terminal Al-H single bonds, which show that these agostic bonds can also be considered as bridged bonds. The analogous arsinidenes (HAs=MH2) have 4 smaller agostic angles and almost the same metal-hydride stretching frequencies and double bond orders. Calculations with fixed H-P-Ti and H-As-Ti angles (170.0 degrees) and C-s symmetry find that electronic energies increased by 36 and 44 kJ/mol, respectively, which provide estimates for the agostic/bridged bonding energies.</P>