diffusion n. 1.散布,發(fā)散。 2.傳播,普及。 3.冗長。 4.【化學】滲濾。 5.【物理學】擴散,漫射。 the diffusion of knowledge 知識的傳播。 diffusion of speech 演說的冗長。 diffusion of light 光線的漫射。
Diffusion approximation for a re - entrant network under the priority service discipline 一類重入型網(wǎng)絡在優(yōu)先服務原則下的擴散近似
Validity of the diffusion approximation in determining the optical properties of biological 漫射近似在測量生物組織光學性質中的適用范圍
Using the method of stochastic analysis , we demonstrate c - tightness of the scaled queue length processes and derive a sufficient condition for the existence of the diffusion approximation under a general priority service discipline 在優(yōu)先服務原則下,給出了這類網(wǎng)絡的標準化隊長過程擴散近似存在的充分條件。
In the section 2 , firstly based on the diffusion approximation theory , the temporal characteristics of the reflectance and the transmittance were theoretically analyzed in turbid tissues ; secondly , the curves were simulated that the intensity and the pulse shape of the time resolved reflectance and transmittance versus the absorption a , the scattering s and the anisotropy coefficient g in two different boundary conditions : semi - infinite turbid media and homogeneous slab ; at last , the optical properties can be derived from the curves ; in the section 3 , the conditions of ultra short laser pulses of different pulse - width and shapes has been theoretical analyzed and calculated , besides , the simulated the curves of the intensity and pulse shapes of the reflectance and transmittance in a homogeneous slab are obtained for use and future studying 第二章中首先根據(jù)漫射近似理論對超短脈沖在以生物組織為典型的混濁介質中傳輸進行了理論分析,然后對兩種邊界條件下產(chǎn)生的漫反射、漫透射光脈沖強度和形狀隨各光學特性參數(shù)的變化情況進行了數(shù)值模擬,最后得到了混濁介質的光學特性參數(shù)與漫反射、透射脈沖強度與形狀的關系曲線。第三章對不同形狀和脈寬的脈沖光源入射到混濁介質中產(chǎn)生的漫反射、漫透射脈沖的強度和形狀進行了理論分析和數(shù)值模擬,并將高斯脈沖與方波脈沖情況進行了對比,得到了各種情況的漫反射、漫透射脈沖強度、形狀與各光學特性參數(shù)的關系曲線,這對從分析脈沖形狀中提取介質的光學特性參數(shù)的信息有重要的意義。
Then the model is simplified , the theory of martingale , simulation , and diffusion approximations are discussed firstly . these methods are applied in the model . then get some useful results , so we can estimate the upper bound for the ruin probability and the approximation of the finite time ruin probability 并詳細的討論了模型有限時間內(nèi)破產(chǎn)概率和最終破產(chǎn)概率的估計,應用隨機過程序列弱收斂,鞅以及隨機模擬等理論,得出一些有意義的結果? ?在有限時間內(nèi)破產(chǎn)概率的逼近表達式;最終破產(chǎn)概率的上界和有限時間內(nèi)破產(chǎn)概率上界;有限時間內(nèi)破產(chǎn)概率的隨機模擬算法;并得到最終破產(chǎn)概率滿足的泛函方程。
The various medium parameters have different influence on the reflection of the laser pulse . based on the diffusion approximation theory , the boundary condition of semi - infinite homogeneous media , the influence of the absorption a , the scattering s and the anisotropy coefficient g on the ultra short laser pulse of different pulse - width and shapes has been researched 論文對超短脈沖在混濁介質中的傳輸進行了理論分析和數(shù)值模擬,并在不同脈寬的高斯脈沖和方波脈沖入射到混濁介質的漫反射、漫透射脈沖強度和形狀進行了理論分析和數(shù)值模擬,得到了它們與各光學特性參數(shù)的關系曲線。