Similarities and Differences between Newton Integral and Riemann Integral;
牛頓積分與黎曼積分之異同
A rigorous coupled wave theory for the Bragg diffraction of a Gaussian beam in the uniaxial crystal is derived and a group of rigorous coupled wave equations and diffraction efficiency formula are obtained in terms of the proper coordinate transformation and Riemann method.
利用適當(dāng)?shù)淖鴺?biāo)變換和黎曼方法建立了高斯光束在單軸晶體中布拉格衍射的嚴(yán)格的耦合波理論 ,獲得了一組嚴(yán)格的耦合波方程和衍射效率計(jì)算公式 ,討論了衍射效率隨折射率調(diào)制量的關(guān)系以及波長(zhǎng)選擇性和角度選擇性 ,同時(shí)分析了衍射效率對(duì)再現(xiàn)光寬度的要求。
The Discrete Definition of "ε-N" of Riemann Integral;
黎曼積分的離散型“ε-N”定義
Advantage of Lebesgue over Riemann integral;
勒貝格積分相對(duì)于黎曼積分的優(yōu)越性
Teaching of Mathematics Short but Reasonable Reasoning for the Riemann Integral;
關(guān)于黎曼積分定義教學(xué)的新探索
Based on the Riemannian geometry theory, a novel conformal transformation was proposed and the kernel function was modified by the transformation in a data-dependent way.
以黎曼幾何為理論依據(jù),提出了一種新的保角變換,對(duì)核函數(shù)進(jìn)行數(shù)據(jù)依賴性改進(jìn),進(jìn)一步提高分類器泛化能力。
It can be excluded with data dependent way based on Riemannian geometry for improved SVM.
基于黎曼幾何的SVM數(shù)據(jù)依賴性改進(jìn)方法能夠剔除支持向量攜帶的冗余信息,改進(jìn)SVM的性能。
Two novel conformal transformations were proposed based on the Riemannian geometry theory and S.
以黎曼幾何為理論依據(jù),基于S。
The effect of contact interaction between particles is decreased by the Riemann solver.
通過黎曼解近似粒子間的相互作用,減小接觸間斷附近的震蕩,并給出多介質(zhì)一維激波管問題的算例,驗(yàn)證此方法的有效性。
The HLL approximate Riemann solver for pressure gradient equations is derived by computing the approximate inter-cell numerical flux in the Godunov scheme directly.
計(jì)算發(fā)現(xiàn):此格式對(duì)于計(jì)算壓差方程只包含強(qiáng)簡(jiǎn)單波的黎曼解是適合的,對(duì)于計(jì)算壓差方程的包含弱簡(jiǎn)單波的黎曼解則不適用。
A smoothed particle hydrodynamics(SPH) algorithm based on the Riemann solution has been presented in this paper.
簡(jiǎn)要介紹了基于黎曼解的光滑粒子法,并將改進(jìn)的SPH方法應(yīng)用于超高速碰撞,對(duì)二維軸對(duì)稱條件下的彈丸超高速碰撞薄板問題進(jìn)行了數(shù)值模擬,研究了靶板厚度、彈丸速度、彈丸形狀等因素對(duì)形成碎片云的影響。
In this paper we use contact algorithm which describes contact interaction between SPH particles by means of Riemann solution to simulate the propagation of wave in shock tube and projectile impact problems,and compare the numerical results with the.
采用黎曼解描述粒子間相互作用的接觸算法對(duì)傳統(tǒng)SPH方法進(jìn)行修正,計(jì)算了激波管和飛片碰撞(包含接觸界面)問題中波的傳播,并將計(jì)算結(jié)果與解析解作比較。
According to our numerical experiments,this scheme is good for computing the Riemann solution consist of only strong simple waves,but bad for the Riemann solution which contains weak simple w.
計(jì)算發(fā)現(xiàn):此格式對(duì)于計(jì)算壓差方程只包含強(qiáng)簡(jiǎn)單波的黎曼解是很好的,對(duì)于計(jì)算壓差方程的包含弱簡(jiǎn)單波的數(shù)值解是不適用的。