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Weakening a theorem on divided powers [PDF]
Transactions of the American Mathematical Society, 1971 We show that if a Hopf algebra has finite dimensional primitives and a primitive lies in arbitrarily long finite sequences of divided powers then it lies in an infinite sequence of divided powers. Introduction. K. Newman has shown us a counter-example to [3, Theorem 2, p. 521]. The theorem states that if H is a cocommutative Hopf algebra over a perfect
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IEEE Access, 2020 Broadband current-mode logic static divide-by-2 and divide-by-4 circuits fabricated in 65-nm CMOS are presented. The low-power frequency dividers are analyzed in a geometric way.
Mingyu Zhu, Dixian Zhao
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Constructing Sequences of Divided Powers [PDF]
Proceedings of the American Mathematical Society, 1972 In my Sequences of divided powers in irreducible, cocommutative Hopf algebras, I demonstrated the existence of extensions of sequences of divided powers over arbitrary fields, if certain coheight conditions are met. Here, I show that if the characteristic of the field does not divide n, every sequence of divided powers of length n 1, in a cocommutative
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Hybrid Analog-Digital Precoding Revisited under Realistic RF Modeling [PDF]
, 2016 In this paper we revisit hybrid analog-digital precoding systems with emphasis on their modelling and radio-frequency (RF) losses, to realistically evaluate their benefits in 5G system implementations.
Garcia-Rodriguez, Adrian +3 more
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Compact Unequal Power Divider with Filtering Response
International Journal of Antennas and Propagation, 2015 We present a novel unequal power divider with bandpass responses. The proposed power divider consists of five resonators and a resistor. The power division ratio is controlled by altering the coupling strength among the resonators.
Wei-Qiang Pan +3 more
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Journal of Radio Electronics, 2021 This article describes a range of compact power dividers - quarter-wave directional couplers, ring divider and Wilkinson coupler. Power dividers in their standard design can take up a significant area at low frequencies. This can adversely affect their use in some applications.
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International Journal for Research in Applied Science and Engineering Technology, 2023 Abstract: The basic design of a power divider with two symmetrical quarter-wavelength branches that provide matching conditions at all of its ports is the focus of the research. Fr4 was chosen as the design's substrate, and 2.9 GHz is the operating frequency for the circuit.
Pragya Pant +3 more
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Jordanian Journal of Computers and Information Technology, 2020 In this article, compact N-way Ultra Wide Band (UWB) equal and unequal split Wilkinson Power Dividers (WPDs) using exponentially λ/4 Tapered Transmission Line Transformers (TTLTs) are designed.
Sahar Saleh +5 more
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Excavation at Aguas Buenas, Robinson Crusoe Island, Chile, of a gunpowder magazine and the supposed campsite of Alexander Selkirk, together with an account of early navigational dividers [PDF]
, 2007 Excavations were undertaken of a ruined building at Aguas Buenas, identified as an 18th-century Spanish gunpowder magazine. Evidence was also found for the campsite of an early European occupant of the island.
Anderson R.G.W. +17 more
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Harnessing the power of dividing cardiomyocytes
Global Cardiology Science and Practice, 2013 Lower vertebrates, such as newt and zebrafish, retain a robust cardiac regenerative capacity following injury. Recently, our group demonstrated that neonatal mammalian hearts have a remarkable regenerative potential in the first few days after birth.
Muralidhar, Shalini A. +4 more
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