Results 61 to 70 of about 387,303 (294)
The Hybrid Power Mean of Sixth Gauss Sums and the Two-Term Exponential Sums
Journal of Applied MathematicsThe principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two-term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums.
Xuan Wang
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Finite Fields and Their Applications, 1995 This paper along with \textit{J. Angel} [Finite Fields Appl. 2, 62-86 (1996; see the preceding review)] and \textit{R. Evans} [Finite Fields Appl. 1, 376-394 (1995; Zbl 0844.11078)] proves that finite upper half plane graphs are Ramanujan in characteristic 2. Ramanujan graphs were first defined by \textit{A. Lubotzky}, \textit{R.
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MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
FEBS Open Bio, EarlyView.MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
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A translation of N.M. Katz's "Exponential Sums"
, 2023 These notes are devoted to the theory of exponential sums over finite fields. The first chapter recalls some of the number-theoretic interest of such sums.
Nguyen, David T.
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Evaluating the effect of γ‐oryzanol on MASLD pathology using a medaka fish model
FEBS Open Bio, EarlyView.This study explores a liver disease called MASLD, which is increasing worldwide and can lead to serious damage. Researchers used medaka fish instead of rodents to test a food compound, γ‐oryzanol. Fish fed this compound had less liver fat and healthier gut bacteria.
Yukako Ito +7 more
wiley +1 more source
Exponential Lower Bounds via Exponential Sums [PDF]
Valiant’s famous VP vs. VNP conjecture states that the symbolic permanent polynomial does not have polynomial-size algebraic circuits. However, the best upper bound on the size of the circuits computing the permanent is exponential. Informally, VNP is an
Bläser, Markus +3 more
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Exponential lower bound via exponential sums
CoRRValiant's famous VP vs. VNP conjecture states that the symbolic permanent polynomial does not have polynomial-size algebraic circuits. However, the best upper bound on the size of the circuits computing the permanent is exponential. Informally, VNP is an exponential sum of VP-circuits.
Somnath Bhattacharjee +3 more
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Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
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Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
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Delivery of DNA‐encoded vaccines and proteins in mice using cutaneous suction‐mediated transfection
FEBS Open Bio, EarlyView.Cutaneous suction‐mediated transfection in mice for delivery of DNA‐encoded vaccines and proteins. A critical limitation of DNA vaccines and other therapeutics is transfection in vivo to produce the encoded antigens or therapeutic proteins. Cutaneous suction‐based methods have demonstrated effectiveness in many animal models and have been successfully ...
Emran O. Lallow +12 more
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