數值積分公式 的英文怎麼說

中文拼音 [shǔzhíjīfēngōngshì]
數值積分公式 英文
numerical integration formula
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 公 : Ⅰ形容詞1 （屬于國家或集體的） state owned; collective; public 2 （共同的;大家承認的） common; gen...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 數值 : numerical value; numerial number; figure; magnitude; value數值表 numerical tabular; 數值天氣預報 ...
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  1. On this foundation the article inducts in detail the method which is based on the relative settlement of calculating unit area end support ( qb ) force at the same time considering the feature of pedestal pile ' s " arch effect " the article introduces conception of pile effective length and finally obtain t he formula of calculating man - made pipe with bulb - shaped axial carrying capacity. the article uses marc program to calculate and analyze foundation soil ' s stress and displacement and gets the change curve chart and the proportion that is shared by king - pipe side soil friction resistance and pipe end counterforce respectively. the article inducts the structure of pedestal in detail on the basis of generalizing pedestal application cases of many countries

    在此基礎上論文詳細歸納了以相對沉降為依據確定單位面積端承力q _ b的計算方法，並考慮擴底樁的「拱效應」特點引入了有效樁長的概念，最後結合公路規范推出了比較實用的人工挖孔擴底樁軸向承載力計算公式。論文運用了marc程序對地基土的應力和位移進行了有限元數值計算分析，得到了地基土的應力和位移場的變化曲線和在加載過程中樁側土摩阻力和樁端反力各自所承擔的比例；本文還在總結各國挖孔擴底樁應用情況的基礎上就擴底樁的構造進行了詳細的歸納。
  2. The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included

    雲中凝結核ccn的數濃度採用超幾何函數表示；雲水向雨水的自動轉換過程採用grabowski （ 1999 ）的公式，考慮了雲滴譜的特徵和發展變化對該過程的影響，而不是採用原方案給定閾值的方法描述該過程；對連續碰並方程不再將粒子落速差作為常量提出積分號外，而是直接作為粒子直徑函數在積分號內求解，這樣處理可以迴避使用粒子群的平均落速帶來的誤差；增加了霰和雪、霰和冰晶的碰並微物理過程。
  3. The theoretic calculating method of the maximum and the minimum water level in the differential surge tank has been derived firstly. also the explicit method of calculating surges in the differential surge tank has been deduced firstly by use of thaler series expansion. the calculating method of section of the well and the effective impedance hole in the surge tank has been gived

    根據差動式調壓室的基本微分方程，首次推導出了差動式調壓室涌浪幅值的理論計算公式；並同樣利用泰勒級數展開方法推導出了差動式調壓室水位波動的顯式計算式；導出了差動式調壓室大井面積和有效阻抗孔面積的計算方法。
  4. Based on historic radiosonde data of changchun city, jilin province and xian city. shanxi province and on the typical model of profiles of cloud liquid water content for stratiformis, the coefficients of retrieval equation are obtained as the functions of height for each month from april to july in the two cities. furthermore, we explore the internal physics signification of retrieval coefficients ' distributing according to every month and have comparisons between the two cities. then the numerical simulation tests of the accuracy of retrieval results are given : the statistical relative deviation of retrieved values of l to the simulated " trues " on the ground is 15 - 25 % and that at altitude of 6km is 5 - 10 %, that means the retrieval method and implementation of the method are applicable to processing measurements of an airborne radiometer made in china recently

    本文介紹機載對空微波輻射計探測雲中路徑積分液態水含量（ l ）的輻射傳輸原理和反演方法；根據吉林省長春市和陜西省西安市的歷史探空資料和典型的層狀雲液水垂直分佈模式，得到這兩個地區4 - 7月各月的隨高度而變的反演公式及其系數的表達式；探索了和反演系數有關系的大氣的影響，並在各個月份之間進行了比較分析；給出了反演誤差的數值模擬檢驗結果：在地面反演值對『真值』的統計相對偏差是15 - 25 ，在6公里高度處為5 - 10 ，表明該方法已具有實用可接受的精度。
  5. The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation. it includes the some important aspects, such as flux formulation, wall and far - field boundary treatment methodology, dissipative term formulation, etc. after the solution of the adjoint equations is obtained, the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation. this can yields a significant saving over the other gradient - based techniques when there are many design variables

    （ 3 ）進行了應用控制理論和三維歐拉方程的機翼氣動反設計研究，以及有升力約束情形下機翼跨音速減阻問題研究，分別推導了相應的共軛方程及邊界條件數學表達形式，研究與發展了三維共軛方程的有限體積數值求解方法，及相應梯度公式的數值求解方法，通過對計算網格生成、流場計算、共軛方程數值求解、梯度求解和優化演算法等多方面的有效結合，成功發展了三維機翼的氣動反設計和跨音速減阻優化設計程序，成功地進行了多個設計算例研究。
  6. And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces

    於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。
  7. A simply and analytical formula of the axial light intensity distribution behind a circular aperture is derived by using the helmhotz - kirchhoff integral theorem and the kirchhoff ' s boundary conditions. it is studied the nonparaxial on - axis intensity distribution throughout the whole space behind a circular aperture. an accurate formula to calculate the fresnel number of circular aperture is presented and the validity of usual fresnel number formula is reexamined. by using the analytical formula and diffraction integral formula, some numerical simulation comparisons are done, and it is shown that the results of the two methods are completely coincident

    用亥姆霍茲-基爾霍夫積分定理和基爾霍夫邊界條件，推導出了平面波經小圓孔非傍軸衍射時軸上強度的簡單解析表達式，研究了平面波經小圓孔后整個衍射空間非傍軸的軸上光強分佈.給出了計算圓孔菲涅爾數的精確公式，重新檢查了通常的菲涅爾數公式的有效性.數值計算顯示，應用解析表達式所得的結果與應用衍射積分公式所得的結果完全一致
  8. On the basis of theory analysis, the average transmitted light intensity ( correspond to dc value ) was determined as characteristic parameter of raw water using photoelectric method for monitoring the fluctuation of transmitted light and photometric dispersion analyzer ( pda ). the dc value was closely related to both particle concentration and surface area of sand clay simultaneously. the experimental results shows that there is an exponential function relation between dc and surface area of sand clay in unit volume water ( sp ) : dc = asbp in which a and b are empirical coefficients. then the formula of macromolecule flocculant dosage is found to be d = f ( dc ) = e ( dc ) f in which e and / are empirical coefficients and the average correlation coefficient equal to 0. 981. so the model of automatical control system of water treatment plant was established using the formula

    應用透光率脈動檢測技術和光散射顆粒粒度分析儀（ pda ） ，通過理論分析，將pda的輸出信號之一? ?平均透光強度（對應于dc值）作為原水的特性表徵參數， dc值可以同時反映顆粒濃度和比表面積因素的影響，試驗結果證明， dc值與單位體積水中泥沙顆粒總表面積s _ p之間具有很好的冪函數關系： dc = cs _ p ~ d ，式中c 、 d為經驗系數，進而得到了以dc值為參數的高分子絮凝劑投藥量公式： d = f （ dc ） = e （ dc ） ~ f ，式中： e 、 f為經驗系數，平均相關系數達0 . 981 ，利用所建立的公式，建立了前饋? ?后饋聯合控制的在線自動投藥模型。
  9. Inequality to estimate calculus and approximate computation

    一類函數積分的估值公式與近似計算
  10. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  11. Through the bonding tests and the theory analysis between the advanced composite glass sheets and the concrete under the general load - carrying condition, the iterative load - carrying condition, the freeze - thaw action, and the defective bonding, the calculative model has been established, and the numerical value of fibre sheet strain under different load - carrying has been confirmed. the bond strength calculative expressions for the concrete bonded with glass fibre sheet under the pull - shear and the bend load - carrying conditions have been established. the author put forward the decreasing coefficient and the calculative expressions for the influence of reinforce effect by the non - effective area and the calculative expressions for the influence of the freeze - thaw action on the carrying capacity of the concrete beams

    本文採用美國泰扶高強復合玻璃纖維布以及與之性能相當、由南京玻璃纖維研究院自行研製開發的egfw430型玻璃纖維布兩種材料，通過在靜載、重復荷載、凍融及有缺陷粘結條件下的高強玻璃纖維布與混凝土粘結性能的試驗研究與理論分析，建立了玻璃纖維布-混凝土的粘結計算模型，明確了不同受力狀態下纖維布應變的設計取值，提出了玻璃纖維布-混凝土抗剪粘結強度的計算公式;確定了考慮非有效粘貼面積對加固效果影響的折減系數;給出了凍融循環次數引起承載力下降的插值計算方法;並驗證了重復荷載作用下玻璃纖維布與混凝土良好的粘結性能。
  12. 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。
  13. By resorting to the integral identity and the residue method, asymptotic estimations of the dirac operator eigenvalue are considered and eigenvalue ' s trace identities are obtained

    藉助於一個積分恆等式，採用留數方法，對dirac運算元的特徵值進行了估計，得到了在各種情形下的特徵值的漸近跡公式。
  14. The invariant factors of orthogonal polynomial for two variables and numerical integration formulas

    二元直交多項式的不變因子與數值積分公式
  15. Firstly, based on the classical theorem of limit analysis, the von mises yielding condition and finite element method technique, two common mathematical programs for the determination of the lower and upper bounds are built and solved by an iteration algorithm directly

    首先，基於塑性極限載荷分析中的上下限定理和有限元離散技術，推導和給出了一般結構極限載荷上下限計算的數學規劃的普遍格式和相應的積分數值計算公式。
  16. Based on the asymptotic properties for numerical integral formulas, this paper obtains a class of finite difference methods for solving initial value problems of odinary differential equations, and studies the consistency and stability of new methods

    摘要基於數值積分公式中間點的漸近性質，獲得了一類求解常微分方程初值問題有限差分方法，研究了新方法的相容性和穩定性。
  17. By driving expressions and using the method in numerical integration, the results of numerical calculations are analyzed, discussed and contrasted with different conditions, and they showed that there are evident differences in the mean attenuation, scattering, and back scattering cross sections of oblate spheroid particles when the variance is so small that it is near to zero namely it is the same as the rotatory axes are parallel with one direction and when h - polarized and v - polarized incident waves happened. these differences are depended on the relative differences in the average orientation of rotatory axes and the polarized directions of incident wave

    通過公式推導和數值積分計算並對結果做了討論和分析，對比各種情況表明：扁橢球粒子群在方差很小接近為0時，與粒子群旋轉軸一致取向的情況相同，入射波水平極化和垂直極化時的平均衰減截面、平均散射截面、平均後向散射截面有明顯的不同，這決定於旋轉軸平均取向和入射波極化方向的相對差異。
  18. ( 3 ) by means of expanding the aperture function into a finite sum of complex gaussian functions, the propagation of fgbs through a paraxial optical abcd system with hard - edged aperture is studied, and the approximate closed - form equations of apertured fgbs are obtained for the first time. the results obtained by using the approximate closed - form equation and collins formula are compared, and the condition under which the approximate closed - form equation is applicable is analyzed

    （ 3 ）利用光闌函數的復高斯函數展開法對截斷平頂高斯光束的傳輸作了研究，首次得到了截斷平頂高斯光束在近軸abcd光學系統中傳輸時的近似解析傳輸公式，通過比較用近似傳物公式和colhns公式直接數值積分所得的結果，得出了近似公式的適用范圍。
  19. This paper uses complex simpson numerical integration, trapezium area formula and optimization theory to precisely compute according. to mathematical model. it provides data and reference to help check turning conditions of platform lorry, and realizes real time, dynamic inquiry of platform lorry design

    利用復合simpson數值積分方法、梯形面積型心公式和最優化理論對數學模型進行了精確求解，為平板車轉彎工況的校核提供數值和理論依據，實現了平板車設計過程的實時、動態查詢。
  20. The calculating formula are given and the method of determining the initial value of integral is discussed

    文章給出了特徵函數的計算公式，並討論了確定積分初始值的方法。
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