線擴散函數 的英文怎麼說
中文拼音 [xiànkuòsǎnhánshǔ]
線擴散函數
英文
line spread function- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 擴 : 動詞(擴大) expand; enlarge; extend
- 散 : 散動詞1. (由聚集而分離) break up; disperse 2. (散布) distribute; disseminate; give out 3. (排除) dispel; let out
- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
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In this paper, some characteristics of flow movement and sediment transport are analyzed by using the flume experiment data. the cross section of compound channel can be divided into four regions : the undisturbed region in main channel, the interactive region between channel and plain, the undisturbed region in flood plain and the boundary region. in the undisturbed regions, the distribution of longitudinal velocity along the depth has the feature of lograithmic. whereas, in the interactive region, the longitudinal velocity does not obey the logarithmic distribution law, but it can expressed as a revised logarithmic function by using a wake function. on the basis of the kinematic equation the velocity distribution of transverse velocity is obtained. in the boundary region, the longitudinal velocity obeys the law of parabolic distribution. furthermore, according to the simplified diffusion equation, the transverse distribution of sediment concentration in the interactive region is deduced. the analysis is in good agreement with the measured data
本文根據漫灘水流的運動特點,將漫灘水流的復式斷面分為主槽平衡區、灘槽交互區、灘地平衡區及邊壁區等4個區,並給出了各區寬度的經驗公式.根據灘槽交互區垂線流速分佈的變化特點,提出了附加尾流函數的對數流速分佈公式.在簡化水流運動方程和泥沙擴散方程的基礎上,對灘槽交互區內垂線平均流速及含沙量沿橫向分佈進行了理論分析,提出了反映灘槽水流動量交換強度的橫向渦量粘性系數及橫向擴散系數的表達式,得到了漫灘水流垂線平均流速及含沙量沿橫向分佈的解析解,並與實測資料吻合較好Line spread function
線擴散函數On the basis of increasing the flaw resolution of the x - ray radiographic system, the study is firstly concerned with the analysis made on the influence of such factors as redial sources energy, system noise, optics radiography and scattering on the radiographic system in theory, and the present dissertation looks at the methods for acquiring the radiographic system point sp read function, line spread function and module transfer function ( mtf ). on the basis of these studies, research the spread properties of the tiny flaw making use of mtf, acquiring the properties of system inspecting sensitivity and resolution, based on the system optimization designing
本文以提高射線成像系統的疵病解析度為前提,首先在理論上對射線源能量、系統噪聲、光學成像、散射等各環節對成像系統的影響進行分析,探討成像系統的點擴展函數、線擴展函數及其調制傳遞函數( moduletransferfunction ,簡稱mtf )獲取方法,在此基礎上,利用mtf研究微小疵病的擴展特點,從而得到系統的檢測靈敏度和解析度給出關系特性,為系統優化設計提供依據。In the light of the weakness of the traditional method, this thesis improves the point spread function ( psf ) of the imaging system. meanwhile, this thesis adds line process as a priori to set up several convex constraint sets
針對傳統凸集投影估計法的缺點,本文提出了改進的點擴散函數,同時利用圖像的先驗知識,提出了加入線過程作為凸約束。The method is firstly applied to solve the linear convection - dominated diffusion problems and the optimal l2 - error estimates of the unknown function c and the vector flux p are gained
此方法首先被用於求解線性對流擴散問題,得到了關于未知函數c及伴隨函數p的最優l ~ 2誤差估計。The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field
重新定義了有限域上邏輯函數的chrestenson線性譜,考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系,並利用一組對偶基給出了有限域上邏輯函數的反演公式;給出了有限域上隨機變量聯合分佈的分解式,並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究;給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系,探討了它們之間密碼性質的聯系,如平衡性,相關免疫性,擴散性,線性結構以及非線性度等;討論了有限域上邏輯函數各類線性結構之間的關系,並給出了任意點都是線性結構的邏輯函數的全部構造,由此引出了有限域上的「泛仿射函數」的概念;考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系;給出了有限域邏輯函數非線性度的定義,利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系,考察了有限域上邏輯函數的非線性度與線性結構的關系;利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系,揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系,以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。In the 3rd section we introduce how to use mathematical model to study financial problems, whose assets running on mixed jump - diffusion process, first we get the famous non - linear feynman - kac formula by fbsde, then let the solution of the bsde be a investor ' s utility function, and it ' s the so - called recurse utility function. second, we can prove that this utility function is a continue viscosity solution of the variation inequality which we get above, and we get the comparison theory. third we can use the result to financial market to study the optimal consumption and portfolio problem or evaluate the american option
第三章介紹了利用金融資產價格運行基於復合跳躍? ?擴散過程的數理模型來研究金融經濟問題,通過結合運用正倒向隨機微分方程,推導得到著名的非線性feynman - - kac公式,並且將相應的倒向隨機微分方程的解記為投資者的值函數,這也就是通常所說的效用值函數;接著我們可以證明此效用值函數為某一偏微積分變差不等式的連續粘性解,並且得到了比較原則;這些結果可以應用到金融領域用於消費投資組合的選擇或是美式期權的估值。Life time of mn2 + in nano - zns was measured and was found to be close to that of the bulk materials. therefore the quenching centers quench the exciton but not the mn2 + ion self. 2. the increasing curves are different in film and ethanol colloids because there is diffusion process of quenching centers in colloids
對薄膜樣品的熒光增強曲線的擬合表明,顆粒表面猝滅中心數目隨輻照時間的衰減函數是非e指數形式;同時考慮溶液中猝滅中心通過向顆粒表面的擴散而逐漸耗盡,很好地解釋了溶膠的增強曲線與固體薄膜的增強曲線的不同。In chapter one, we propose a new mixed method called characteristics mixed finite element method for a convection - dominated diffusion problems with small parameter e : we handle the convection part whth backward difference scheme along the characteristics, obtain much smaller time - trunction errors and avoid numerical dispersion on the front of the peak curve of the flow : we use a lowest order mixed finite element method to deal with the diffusion part, so this scheme can approximate the unknow function and its following vector with high accuracy at the same time
第一章中我們對小參數對流占優擴散問題提出了新的數值方法? ?特徵混合有限元方法,即對方程的對流部分採用沿特徵線的後退差分格式求解,以保證較小的截斷誤差限並避免了在流動的鋒線前沿數值彌散現象的出現;對流動的擴散部分採用最低次混合元方法求解,以保證格式對未知函數及伴隨向量的同時高精度逼近。由於該方法中檢驗函數可取分片常數,此格式在某種意義上具有局部守恆性質。In this paper, we consider mixed finit element methods for the initial - boundary value problems of two order hyperbolic equations and linear integro - differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems. in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux
本文討論了二階雙曲方程和線性拋物型積分微分方程方程初邊值問題的混合有限元方法,得到了這兩類問題混合有限元離散格式的誤差估計。第一章討論二階雙曲初邊值問題的擴展混合元方法。該方法能同時逼近未知函數、未知函數的梯度和流體的流量,較好的模擬了帶有混合型邊界條件的二階雙曲問題。The characteristic approximation is used to handle the convection part along the direc - tion of fluid namely characteristic direction to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion ; the mixed finite element spatial approximation is employed to deal with diffusion part and approximate the scalar unknown and the adjoint vector function optimally and simultaneously ; in order to preserve the integral conservation of the method, we introduce the modified characteristic method
該方法對方程的對流部分沿流體流動的方向即特徵方向離散以保證格式在流動的鋒線前沿逼近的高穩定性,消除數值彌散現象;對方程的擴散部分採用最低次混合有限元方法離散、同時以高精度逼近未知函數及未知函數的梯度;為保證方法的整體守恆性,在格式中引入修正項The new method is a combination of characteristic approximation to handle the convection part, to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion, a smaller time truncation is gained at the same time, and a mixed finite element spatial approximation to deal with the diffusion part, the sealer unknown and the adjoint vector function are approximated optimally and simultaneously
此方法即為對方程的對流項沿流體流動的方向即特徵方向進行離散,從而保證格式在流動鋒線前沿逼近的高穩定性,消除了數值彌散現象,並得到了較小的時間截斷誤差;另一方面,對方程的擴散項採用混合元離散,可同時高精度逼近未知函數及其伴隨向量函數,理論分析表明,此方法是穩定的,具有最優的l ~ 2逼近精度。At the same temperature ( 25 ), soil bulk density ( 1. 3g / cm3 ) and concentration of applied ions ( 0. 014g / cm ), the value of chlorine diffusion coefficient ( dei ) increased linearly with water content, and that of potassium ( dk ) increased exponentially or power - lawly
25c 、非飽和條件下,四種土壤o一、義的擴散系數均隨含水量的增加而增大,前者隨含水量呈線性增加,後者呈指數函數增加或冪函數增加。In chapter two, the security measure indexes on cryptographic functions are researched by the numbers, which include the slowness and balance of both the static state information leakage ( such as balance and correlation immunity and so on ) and dynamic information leakage ( such as the diffusion and high order autocorrelations and so on ) on cryptographic functions
第二章系統研究了密碼函數的各種安全性度量指標,包括密碼函數靜態信息泄漏的緩慢性和均勻性(如相關免疫性、非線性性、均衡性等等)和動態信息泄漏的緩慢性和均勻性(如擴散性、高階互相關性等等) 。分享友人