求積公式 的英文怎麼說

中文拼音 [qiújīgōngshì]
求積公式 英文
quadrature formula
  • 求 : Ⅰ動詞1 （請求; 要求） ask; beg; request; entreat; beseech : 求人幫忙 ask sb a favour; ask a favou...
  • 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...
  • 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...
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  1. Newton cotes integration formula and inequalities

    求積公式和不等式
  2. A calculation formula for the quadratic gauss sums

    一類高斯數值求積公式的極限性質
  3. 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。
  4. Based on the analytical model of the generalized force spectra of the first mode of typical lattice towers in along - wind direction, simplified empirical formulae to evaluate along - wind dynamic responses of lattice towers under wind load are proposed in this paper

    摘要基於格構式塔架順風向一階廣義荷載譜解析模型，提出了格構式塔架順風向風振響應簡化計算公式，這些簡化公式將求格構式塔架順風向風振響應的復雜積分變為簡便的代數運算。
  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. Based on this result, convergence of gaussian quadrature formulas for riemann - stieltjes integrable functions on an arbitrary system of nodes on infinite intervals is discussed

    應用這個結果，我們討論了關于riemann - stieltjes可積函數f （ x ）基於無限區間上的任意節點系的gauss求積公式的收斂性。
  7. Research and improvement of teaching methods to gauss numerical integration formula

    高斯求積公式教法研究與改革
  8. Currently, the company is in line with the national policy for the establishment of large - scale coal bases and large zhengzhou coal - electricity - aluminum pillar industry development needs, and actively integrating coal mining resources, and promote enterprise development by leaps and bounds

    目前，集團公司正按照國家建立大型煤炭基地的政策要求及大鄭州煤?電?鋁支柱產業發展需求，積極整合礦區煤炭資源，推動企業跨越式發展。
  9. On the aspect of the research of the rcs computation methods, this dissertation did many work as : it discussed the application of the stationary phase method for the integral of the physical optics and gave the expressions of the stationary phase method based bezier surface for the perfect conduct and coated target ; focused on the application of the stationary phase method, it discussed some important techniques such as the searching of the stationary phase method and the handling of the singularity ; it also discuss the application of the gauss method for verifying the correction of the stationary phase method, and gave their compares of the efficiency and the precision

    在rcs演算法研究方面，本文做了以下研究：討論了在bezier曲面上物理光學積分的駐相法求解，給出了bezier曲面上理想導體和塗敷目標駐相公式；圍繞駐相法的應用，討論了駐相法應用中的一些關鍵的技術問題，包括駐相點的搜索、駐相法的奇異性；為了檢驗駐相法的精度，還討論了gauss積分的應用，給出了兩種方法計算效率和精度的比較。
  10. Abstract : this paper mainly utilizes the methods of formula, isometric transform, cut and complement, extremes and analyzing special section to calculate the volume in solid geometry

    摘要:文章探討了用公式法、等體積變換法、割補法、極值法、分析特殊截面等方法求立體幾何中幾何體的體積。
  11. From three respects in calculus teaching, this paper has mainly discussed magical effect of physics meaning of questions, which is curve integration curved surface integration and sum of series formula

    摘要微積分的教學離不開問題的物理意義，文章從曲線積分、曲面積分以及級數求和公式的推導等三個方面來說明問題的物理意義在微積分教學中的妙用。
  12. And lager step size could be used in the integral process. based on the gear method and the differential - algebraic equation simultaneous solution method, the newton iteration formula is derived in this thesis

    本文根據電力系統全過程動態模擬軟體的基本積分方法（ gear法）和微分一代數方程聯立求解法，構造了gear法聯立求解微分方程組和代數方程組的牛頓迭代公式。
  13. 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。
  14. This text completely and systematically studies the status and the development of the pyrolysis and the fluidization of biomass, which distill the bio - oil in the domestic and international area, as well as the existing problems. this thesis primarily include following aspects : ( l ), by experimenting and measuring the energy ( heat value ) and the content of c, h, n chemical element of right 20 kinds of common biomass, on the base of the experimental result, and respectively established the biomass energy predict experiment formula with the element of h and c is from change, and passed the ro. os examination, which provides the basis and convenience for flash pyrolysis fluidization device energy to convert the rate to compute with biomass energy utilization calculation ; ( 2 ), proceeded the tg and dtg experimentation equal velocity ( 10 ? / min, 20 ? / min, 40 ? / min, 60 ? / min ) heating and constant temperature heating by studying on eight kinds of biomass samples, according to the experimental data and arrhenius formula, we established the dynamics model of pyrolysis of, then, using the goast - redfern and p function, we also solved the dynamics parameters and analyze out every kind of biomass ' s frequency factor and parameters of activation energy, and established the every kind of dynamics model of pyrolysis of biomass, all of these provide the theories and basis to make sure the reactor ' s flash pyrolysis work temperature scope design and the describing of pyrolysis reactor dynamics ; ( 3 ), in order to study and ascertain the process of heat completely getting to pyrolysis time of varied size biomass particles, we observed and measured the ratio of length and diameter ( l / d ) with the varied biomass through electron microscope, we concluded the l / d ratios usually is from 5. 0 to 6. 0, the average is 5. 3 ; ( 4 ), we studied the process of biomass transiting and the theory of complete pyrolysis time with the theory of complicated heat field, we got the time ( t ) of the varied size biomass particles arriving to complete pyrolysis, and we knew that the complete pyrolysis time and the time which get to the biggest production ratio are identical, all of these studies provide the theory base for design and forecasting the flash pyrolysis reactor solid state resort time ; ( 5 ), according to the above experiment result, synthesize to make use of the engineering the mechanics, engineering the material, machine the design to learn the principle, deduce, establish the theory of rotation cone flash pyrolysis reactor material resort time ( t ) and reasonable rotation velocity ( or frequency ) relation theory ; and ( 6 ), we gave the reactor ' s smallest cone angle certain, reactor cone wall strength design theory, the reactor production ability theory, the power design method and the critical rotation velocity theory

    本文較全面、系統地綜述了國內外生物質熱解液化制取生物燃油技術研究發展現狀及存在的問題，主要研究內容有： （ 1 ）實驗、測定了20種常見生物質的能量（發熱量）和c 、 h 、 n元素含量，根據實驗結果分別建立了以h和c為自變量的生物質能量預測經驗公式，並通過r _ （ 0 . 05 ）檢驗；為閃速熱解液化裝置能量轉化率計算和生物質能量利用率計算提供了依據和方便； （ 2 ）選擇了8種生物質試樣作了等加熱速率（ 10 min 、 20 min 、 40 min 、 60 min ）和恆溫加熱的tg和dtg實驗，根據實驗數據和阿倫尼烏斯公式建立了生物質熱解反應動力學微分方程，並採用goast - redfem積分法和p函數對其動力學參數進行了求解，解析出各種生物質的頻率因子和活化能參數，進而建立了各種生物質的熱解動力學模型，為科學確定反應器的閃速熱解工作溫度范圍及熱解反應動力學描述，提供了理論和依據； （ 3 ）為研究和確定不同尺度的生物質顆粒中心達到全熱解的時間，在體視顯微鏡下對不同粒度的生物質顆粒的長徑比進行了實驗觀察和測定，得出生物質的長徑比（ l d ）一般在5 . 0 6 . 0之間，平均為5 . 3的結果； （ 4 ）採用復雜溫度場傳熱學理論對生物質傳熱過程及充分熱解時間理論進行了研究，解析推導出了不同尺寸生物質顆粒中心溫度達到充分熱解溫度的時間（ t ） ，得出了理論推導的充分熱解時間與最大產油率的熱解時間相一致的結果，為閃速熱解反應器固相滯留時間設計和預測提供了理論依據； （ 5 ）根據上述實驗結果，綜合運用工程力學、工程材料、機械設計學原理，推導、建立了轉錐式閃速熱解反應器物料滯留時間（ ）與轉速（或頻率）合理匹配理論； （ 6 ）提出了轉錐式閃速熱解反應器的最小錐角設計、錐壁強度設計、生產能力設計理論和功率計算方法及臨界轉速理論等。
  15. The boundary integral equation for elasticity is derived through the general green ’ s formula and the corresponding fundamental solution. the paper represents the contact conditions, which are essential for the coupling of the boundary integral equations of the two different elastic contact bodies, in a local coordinate system properly chosen

    利用廣義格林公式和基本解得出彈性問題的邊界積分方程，採用循環迭代的方法，通過尋求與接觸條件相協調的接觸邊界位移及面力增量來確定接觸區域的大小。
  16. Fourthly, this article finds the solution to the main equation set about labyrinth seals model of two - control - volume, concludes the pressure distribution in labyrinth seals, and further obtains the answer of the calculation formula on the four dynamic characteristics about labyrinth seals

    4 、對迷宮密封兩控制容積模型主導方程組運用攝動分析方法進行了求解，得到了迷宮密封腔中的壓力分佈，並進一步求解得到迷宮密封的四個動力特性系數的計算公式。
  17. These properties play an important role in theory of gauss - type quadrature rules briefly discussed in section 1. 4

    所以， gauss型求積公式重又成為數值求積中的新貴。
  18. In the first chapter, we list some known results of hermite interpolation of higher order and gaussian quadrature formulas as its simple survey and introduction

    第一章介紹高階hermite插值和gauss求積公式的收斂性的已有結果，引入記號和定義。
  19. In this paper, a class of the second order accurate explicit gauss schemes with staggered grids for the computation of solutions of hyperbolic conservation laws are presented, the advantages of these schemes are : riemann solver - free, faster and programming is much simple, no complete set of eigenvectors is needed and hence weakly hyperbolic system can be solved. in one dimensional case, these schemes are and total variation diminishing and convergence under the restriction of cfl condition, the convergence rate is the first order, and a pointwise error bound is presented

    本文在交錯網格的情況下，利用gauss型求積公式構造了一類求解雙曲守恆律的時空一致二階顯式gauss型差分格式，這類gauss型差分格式，具有不需要求解riemann問題、計算簡單、工作量少、編程簡便等優美特點，而且由於這類格式在應用於求解方程組的時候，不需要對方程組進行特徵分解，因此可應用於求解非嚴格的雙曲守恆律方程組。
  20. The traction - free condition on the crack line is mended to get more accurate results. it can be expressed by a series of integral equations which can be discretized to a set of linear equations and then it can be solved easily. stress intensity factors ( sif ) are gotten through the root of the linear equations

    （ 2 ）推導了遠場應力、熱應力耦合作用下含夾雜裂紋體的應力強度因子求解公式，改進了體積力法中的裂紋面合力平衡條件，將應力強度因子的求解歸結為解一組積分方程，再將積分方程轉化為線性方程組進行數值求解。
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