边界条件对生物组织漫射光时域模拟计算的影响

采用蒙特卡洛方法与漫射近似相结合的杂合算法,在不同的边界条件下(零边界条件、外延边界条件、部分流边界条件),对板状生物组织模型的漫射光的时域分布进行了计算,计算结果表明:采用外延边界条件,在保证计算精度的基础上,和单纯的蒙特卡洛方法相比,较大地提高了运算速度.     

线性算子方程广义解的存在性

本文中我们研究并得到了线性算子方程的Moore-Penrose广义解的稳定性性质。     

正弦电磁场中铁磁材料数学模型

将电磁场理论与弹性力学理论相结合,建立了描述铁磁材料在正弦电磁场中的数学模型,并对该模型一类的4阶非线性偏微分方程的解进行了讨论．给出其一阶近似后得到的线性偏微分方程的解析表达式和数值计算方法．计算结果表明,本方法是有效的．     

Waldhausen范畴的陈映射

本文讨论了关于 Ｗａｌｄｈａｕｓｅｎ范畴的Ｋ理论与循环同调理论的联系．主要是推广了 Ｄｅｎｎｉｓ迹映射和Ｊｏｎｅｓ－Ｇｏｏｄｗｉｌｌｉｅ Ｃｈｅｒｎ映射．证明了迹映射保持各自的乘法结构．最后讨论了双变量的情形．     

Precise absolute positioning for a single-frequency user

A new strategy to realize precise absolute positioning for a single-frequency user is presented. In the presented strategy, the receiver clock and ambiguities are removed using the satelliteand epoch-differenced (SDED) algorithm. As a further development of the SDED algorithm, a regional augmentation network is used to generate the SDED atmospheric delays at the user. The weakened mathematic property due to the epoch-differenced operation is improved by adding the generated atmospheric delays and applying the robust estimation. To test the new approach, the 24-h data at 5 Continuous Operation Reference Station (CORS) stations in Shanghai is processed. The results show a more than 96% success rate, defined as the case where three directions achieve the desired positioning accuracy of 10 cm, when the observation is longer than 20 min. The 20-min static results show that the new method can reach an accuracy of 3.42, 4.76 and 9.26 cm in the North, East and Up directions, respectively. An experiment was carried out to assess the kinematic positioning. The results show that the kinematic positioning accuracy is 4.11, 5.31 and 4.05 cm in the north-south, east-west and height directions,respectively.     

一类全纯函数的正规性

研究了具有一定性质的全纯函数．设F是平面上区域D内的全纯函数族．如果对于任意的f∈F 都有 其中C为常数且f(0)≠0,则F正规．     

Local Existence of the Shock Front Solution to the Axi-symmetrical Piston Problem in Compressible Flow

In this paper,we study a kind of 2-dimensional axi-symmetrical piston problem in com-pressible flow.The corresponding mathematical model is the well-known Euler system.With theNewton iteration procedure and energy estimate,we give the local existence of the shock front solutionto this problem.     

Atemoyacin A: A new bis-tetrahydrofuranyl annonaceous acetogenin from Annona atemoya H.

Atemoyacin A, a new annonaceous acetogenin was isolated from the alcoholic extract of the seeds of Annona atemoya Hort (Annonaceae). Its structure and relative configuration were elucidated on the basis of the spectral analysis.     

Two New Dihydroflavanoids from Patrinia vittosa Juss (II)

Two new dihydroflavonoids named villosin A and villosin B were obtained from the traditional Chinese medicinal herb Patrinia villosa Juss. Their structures were elucidated as (2S)-5, 2', 6'-trihydroxy-2", 2"-dimethylpyrano [5", 6": 6, 7]flavanone 1 and (2S, 3"S)-5, 2', 6'-trihydroxy-3"-γ, γ-dimethylallyl-2", 2"-dimethyl-3", 4"-dihydropyrano [5", 6": 6, 7] flavanone 2 by spectroscopic methods including UV, IR, HR-TOF- MS, 1D NMR and 2D NMR techniques.     

Nb^30＋,Na—like离子自电离速率和自电离分支比

用组态相互作用方法，研究了Ｎｂ３０＋，Ｎａ－ｌｉｋｅ２ｐ５３ｌ３ｌ′（ｌ，ｌ′＝０，１，２）内壳层电子激发跃迁的自电离速率和自电离分支比，结果表明自电离速率对自电离分支比的贡献最大。