Results 71 to 80 of about 19,492 (245)

Multiple Dirichlet series associated to additive and Dirichlet characters

, 2017
This paper grew out of Chapter 5 of my Ph.D. thesis (2016). My thesis can be found in https://www.imsc.res.in/xmlui/bitstream/handle/123456789/390/HBNI%20Th103.pdf?sequence ...
openaire   +2 more sources

Dirichlet expression for L(1, χ) with general Dirichlet character

Proceedings - Mathematical Sciences, 2010
In the famous work of Dirichlet on class number formula, L(s, χ) at s = 1 has been expressed as a finite sum, where L(s, χ) is the Dirichlet L-series of a real Dirichlet character. We show that this expression with obvious modification is valid for the general primitive Dirichlet character χ.
openaire   +1 more source

Quantifying Model Selection Uncertainty in Structural Analysis: Methodology and Application

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT With increasing focus on complex engineering systems under rare events, computational models are critical for predictions due to the scarcity or absence of data. However, selecting an appropriate model can be challenging. Using a single model without available test calibration could result in significant bias in performance predictions. A case
Ya‐Heng Yang, Tracy C. Becker
wiley   +1 more source

Stability Evaluation and Parametric Optimization of Coal‐Concrete Composite Bearing Systems Under Mine‐Water‐Induced Deterioration: Experiments and FEINN Analysis

Energy Science &Engineering, EarlyView.
Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen, Hongchuan Dai, Guixin Zhang, Pengzhe Li, Tong Yang, Cang Gong, Renbo Gao   +6 more
wiley   +1 more source

Reflective Pathways: Integrating Empathy Into the STEM Student Experiences

Future in Educational Research, EarlyView.
ABSTRACT The growing demand for a globally competent STEM workforce showcases the importance of embedding empathy into undergraduate education. As a core dimension of global competence, empathy enables individuals to engage diverse perspectives and navigate collaborative challenges.
Aparajita Jaiswal, Nathan S. Bitner, Gaurav Nanda, Muna Sapkota   +3 more
wiley   +1 more source

Fekete polynomials of principal Dirichlet characters

Journal of Experimental Mathematics
Fekete polynomials associated to quadratic Dirichlet characters have interesting arithmetic properties, and have been studied in many works. In this paper, we study a seemingly simpler yet rich variant: the Fekete polynomial F_n(x) = ∑_a=1^n χ_n(a) x^a associated to a principal Dirichlet character χ_n of modulus n. We investigate the cyclotomic factors
Shiva Chidambaram, Ján Mináč, Tung Nguyen, Nguyen Duy Tân   +3 more
openaire   +2 more sources

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

CM newforms with rational coefficients

, 2008
We classify newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. Under the extended Riemann hypothesis for odd real Dirichlet characters, these newforms are finite in number.
Schuett, Matthias
core   +2 more sources

Stratification of chronic rhinosinusitis with nasal polyps by distinct sinonasal microbial communities and their clinical and pathological correlations

iMetaOmics, EarlyView.
Chronic rhinosinusitis with nasal polyps (CRSwNP) is a heterogeneous inflammatory condition. Dysbiosis is commonly observed. This study identified distinct sinonasal microbial communities in CRSwNP patients and explored their clinical and pathological associations. Two distinct microbial communities were identified: community type 1 (CT1), dominated by
Bixing Fang, Yanmin Liu, Qing Bao, Lin Sun, Hexin Chen, Qingxiang Meng, Linyi Jiao, Xiaoyan Ye, Jian Li, Tao Ding, Chunwei Li   +10 more
wiley   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source