This research paper disproves the long-held belief that the domination number of a cubic graph is ⌈n/3⌉ and explores two conjectures related to the domination number in cubic graphs, providing evidence for a tighter bound of γ(G) ≤ 1/3n under specific girth conditions.
이 논문에서는 일반 비균일 그리드에서 양측 공간-분수 확산 방정식을 위한 빠르고 효율적인 수치적 방법인 빠른 분수 블록 중심 유한 차분(BCFD) 방법을 제안합니다.
本論文では、非一様グリッド上の両側空間分数拡散方程式に対して、メモリ要件と計算コストを大幅に削減する高速分数ブロック中心有限差分法を提案しています。
This paper proposes a novel fast fractional block-centered finite difference method to efficiently and accurately solve two-sided space-fractional diffusion equations on general nonuniform grids, addressing the computational bottleneck of traditional methods by employing a sum-of-exponentials approximation technique for fast matrix-vector multiplications.
This paper introduces an Ensemble Kalman Filter (EnKF) based method to improve the estimation accuracy of Koopman modes and eigenvalues from noisy measurement data, applicable to both autonomous and non-autonomous dynamical systems.
2010年の憲法改正以降、トルコでは司法の独立が著しく低下しており、その影響は深刻かつ恒久的なものである。
This paper introduces GIST (Gibbs self-tuning), a novel framework for locally adaptive Hamiltonian Monte Carlo (HMC) sampling, which expands the state space to include tuning parameters as auxiliary variables, enabling their adaptive sampling based on position and momentum.
本文利用分析組合學方法,推導出隨機對稱矩陣、維格納矩陣和厄米特矩陣行列式二階矩的精確表達式,並將先前關於對稱矩陣和維格納矩陣行列式二階矩的研究結果推廣到更一般的分佈情況。
본 논문에서는 해석적 조합론 기법을 사용하여 랜덤 대칭, 위그너 및 에르미트 행렬의 행렬식의 두 번째 모멘트를 분석하고, 특히 에르미트 행렬의 행렬식의 두 번째 모멘트에 대한 새로운 결과를 제시합니다.
本稿では、ランダムな対称行列、ウィグナー行列、エルミート行列の行列式の2次モーメントを解析し、組合せ論的手法を用いて、対角成分が独立同分布に従い、対角より上の成分が独立同分布に従い、かつ実数の期待値を持つエルミート行列の行列式の2次モーメントを決定します。