Results 21 to 30 of about 2,305,664 (325)
On the classical Gauss sums and their some new identities
AIMS Mathematics, 2022 In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order 12 modulo an odd prime p, and obtain several new and interesting identities ...
Wenpeng Zhang, Xiaodan Yuan
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On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo p
AIMS Mathematics, 2021 The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol ...
Wenpeng Zhang, Yuanyuan Meng
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Diffusive Transport in Periodic Potentials: Underdamped Dynamics [PDF]
, 2008 In this paper we present a systematic and rigorous method for calculating the diffusion tensor for a Brownian particle moving in a periodic potential which is valid in arbitrary dimensions and for all values of the dissipation.
Pavliotis, G. A., Vogiannou, A.
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Accuracy of Intraocular Lens Calculation Formulas [PDF]
Ophthalmology, 2018 To compare the accuracy of intraocular lens (IOL) calculation formulas (Barrett Universal II, Haigis, Hoffer Q, Holladay 1, Holladay 2, Olsen, and SRK/T) in the prediction of postoperative refraction using a single optical biometry device.Retrospective consecutive case series.A total of 13 301 cataract operations with an AcrySof SN60WF implant and 5200
Ronald B, Melles +2 more
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Quasi-Local Linear Momentum in Black-Hole Binaries [PDF]
, 2007 We propose a quasi-local formula for the linear momentum of black-hole horizons inspired by the formalism of quasi-local horizons. We test this formula using two complementary configurations: (i) by calculating the large orbital linear momentum of the ...
A. Ashtekar +4 more
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Current formula for calculating body mass index is applicable to Asian populations
Nutrition & Diabetes, 2019 Body mass index (BMI, ratio of height and weight, expressed as kg/m) is widely used to define overweight and obesity across many countries, populations, races and ethnicities. It is obvious that weight and height are linked.
Anoop Misra, N. Dhurandhar
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A Simple Accurate Formula for Calculating Saturation Vapor Pressure of Water and Ice
Journal of Applied Meteorology and Climatology, 2018 It is necessary to calculate the saturation vapor pressure of water and of ice for some purposes in many disciplines. A number of formulas are available for this calculation. These formulas either are tedious or are not very accurate.
Jianhua Huang
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A certain two-term exponential sum and its fourth power means
AIMS Mathematics, 2020 The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula ...
Zhang Jin, Zhang Wenpeng
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The Kelvin Formula for Thermopower [PDF]
, 2010 Thermoelectrics are important in physics, engineering, and material science due to their useful applications and inherent theoretical difficulty, especially in strongly correlated materials. Here we reexamine the framework for calculating the thermopower,
A. P. Ramirez +5 more
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A certain new Gauss sum and its fourth power mean
AIMS Mathematics, 2020 The main purpose of this paper is using the elementary methods and the properties of the Legendre symbol to study the computational problem of the fourth power mean of a certain generalized quadratic Gauss sum, and give two exact calculating formulae for
Yan Zhao, Wenpeng Zhang, Xingxing Lv
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