Results 211 to 220 of about 134,188,628 (239)

On Meta-Geometric Gravity, Emergent Holography and Naturalness. [PDF]

Entropy (Basel)
Addazi A.
europepmc   +1 more source

Lévy Formulation of the Stochastic Theory of Chromatography and Extension to Phase-Type Markov Renewal Process. [PDF]

Anal Chem
Mirzahosseini A, Sepsey A, Tóth G, Felinger A.   +3 more
europepmc   +1 more source

A novel two-parameter discrete exponentiated exponential distribution with its neutrosophic extension: mathematical characterization and real-world count data modeling. [PDF]

Front Big Data
P FA, V S.
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Single-Chain Conformational Fluctuation Regulates Phase Separation of Intrinsically Disordered Proteins. [PDF]

JACS Au
Feng C, Xu S, Su H, Chu X.
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Genome-wide dynamic nascent transcript profiles reveal that most paused RNA polymerases terminate. [PDF]

Nucleic Acids Res
Mukherjee R, Guertin MJ.
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Emulation of Synaptic Functions with Poly(Ionic Liquid) Heterojunction for Visual Pattern Recognition. [PDF]

ACS Nano
Balqis F, Lee JP, Xing Z, Wang H, Chen T, Ji R, Lee PS.   +6 more
europepmc   +1 more source

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On the Sixth Power Mean of the Two-Term Exponential Sums

Acta Mathematica Sinica, English Series, 2022
The article is devoted to the calculation problem of the sixth power mean of the two-term exponential sums. The main result is the following theorem. Let \(p>3\) be a prime and \(n\) be an integer. Then we have the identity \[ \sum_{m=1}^{p-1}\left|\sum_{a=0}^{p-1} e\left(\frac{m a^3+n a}{p}\right)\right|^6= \begin{cases}5 p^3 \cdot(p-1), & \text { if }
Wen Peng Zhang
exaly   +3 more sources

On the Character Sum of Polynomials and the Two-Term Exponential Sums

Acta Mathematica Sinica, English Series, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Peng Zhang
exaly   +3 more sources

On Mixed Two-Term Exponential Sums [PDF]

Journal of the Korean Mathematical Society, 2010
In this paper, we shall use analytic methods to study the hybrid mean value involving the mixed two-term exponential sums C(m, n, r, chi; q), and give several sharp asymptotic formulae.
Tianping Zhang
exaly   +2 more sources

One Kind Sixth Power Mean of the Three-Term Exponential Sums

Open Mathematics, 2017
In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums.
Xiaoxue Li
exaly   +3 more sources