解析函數代數 的英文怎麼說
中文拼音 [jiěxīhánshǔdàishǔ]
解析函數代數
英文
analytic function algebra- 解 : 解動詞(解送) send under guard
- 析 : Ⅰ動詞1. (分開; 散開) divide; separate 2. (分析) analyse; dissect; resolve Ⅱ名詞(姓氏) a surname
- 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
- 代 : Ⅰ動詞1 (代替) take the place of; be in place of 2 (代理) act on behalf of; acting Ⅱ名詞1 (歷...
- 解析 : analysis; resolution; analyzing; resolving解析幾何 [數學] analytic geometry; cartesian geometry; ...
- 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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This course consists of several major parts, such as vectors and analytic geometry, derivatives, integration and series
課程內容包括空間解析幾何與向量代數、多元函數微分學、多元函數積分學和無窮級數等幾大板塊。This course consists of several major parts, such as ordinary differential equation, vectors and analytic geometry, derivatives, integration and series
課程內容包括常微分方程、空間解析幾何與向量代數、多元函數微分學、多元函數積分學和無窮級數等幾大板塊。Analytic function algebra
解析函數代數The following topics are covered in the course : complex algebra and functions ; analyticity ; contour integration, cauchy ' s theorem ; singularities, taylor and laurent series ; residues, evaluation of integrals ; multivalued functions, potential theory in two dimensions ; fourier analysis and laplace transforms
本課程包含下列各項主題:復數代數與函數;可解析性;輪廓積分;柯西定理;奇異性,泰勒與羅倫茲級數,留數,積分的運算;多值函數,二維的勢能理論;傅立葉分析與拉普拉斯轉換。The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle. then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem. the result can be derived by analytical method
在平面彈性問題中,由變量代換及變分原理,方程可導向哈密頓體系,從而通過分離變量法及共軛辛本徵函數向量展開法,以解析的方法來進行求解。In this paper the response surface method ( rsm ) is introduced into the structure optimization of linear fire work departing installation, which make the target fuction explicit, adopt the big finite element procedure to numerically simulate the departing process of the fire work departing installation instead of the expensive substance experiment, establish reasonable optimization model and resolve it, the final result is satisfied, and analyse the question presented during optimization process in detail
本文把響應面方法引入到線性火工分離裝置的結構優化中,使得優化模型中的目標函數顯式化,採用大型有限元軟體對線性火工分離裝置的分離解鎖過程進行數值模擬,代替了代價昂貴的實際試驗,建立了科學合理的優化模型並求解,最終得到令人滿意的優化結果,並對優化過程中出現的問題進行了細致的分析。Also, the author ’ s design strategy and creativity has been given in this paper. specifically, it includes : based on the feasibility analysis of the fit selection of control parameters in the aeration process, the aeration process of wastewater treatment of the joint - constructional complete - mixed activated sludge process has been aimed at in this paper. then, the state equations of the aeration process have been proposed in this paper, which is on the base of dissolved oxygen concentration ( do ) and discharge quantity of sludge ( qw ) as control variables, the concentration of bod and sludge as state variables. based on the present study on optimization control of wastewater treatment, the multivariable optimal control model with restriction factor has been presented in the paper with introducing modern control theory and system analysis into the field of activated sludge wastewater treatment,
具體包括:以完全混合、表面曝氣合建式活性污泥工藝的污水處理曝氣過程為研究對象,在闡述了曝氣過程式控制制參數選取可行性的基礎上,建立了以溶解氧濃度do和活性污泥排放量qw為控制變量,以曝氣池中有機物濃度s和微生物濃度x為狀態變量的活性污泥曝氣過程的基本狀態方程;運用現代控制理論的觀點和污水處理理論,在現有關于污水處理最優控制問題研究的基礎上,建立了有約束條件多變量能耗最小數學模型,該數學模型是以有機物排放總量和狀態變量的末值條件作為約束條件,曝氣過程的能耗最小作為目標泛函;採用增廣拉格朗日乘子法對最優控制問題進行轉化,並對應用極大值原理求解能耗最小這一最優控制問題進行了詳細的解析;引入約束運算元,應用具有控制約束的共軛梯度演算法對能耗最小這一最優控制問題進行求解,並進行模擬實驗驗證。In view of the limitation of the traditional inversion theory and method of the gravity and magnetic field, professional an yulin, etc, worked in china university of geoscience, has come into being the theory system of the all - direction imagery for local gravity and magnetic sources after having researched a few years. the theory system broke through the thinking method of traditional theory system, researched all - direction imagery of the 2d local gravity and magnetic sources by means of complex function theory and researched all - direction imagery of the 3d local gravity and magnetic sources by means of spherical harmonic analysis theory, developed greatly the interpretation theory on the gravity and magnetic field
該理論體系突破了傳統的重、磁場解釋理論體系的思維方式,採用復變函數理論研究二維局部重磁場源全方位成像,採用球諧分析理論研究三維局部重磁場源全方位成像,大大發展了重磁學科解釋理論,可以在起伏地形、有背景疊加和高頻干擾等復雜條件下,直接反演加疊代修改,求解分佈在有限范圍內的二維和三維重磁場源異常場的多種反演問題。This brief note presents an easily conceivable inequality for analytic functions. as an application, a function - theoretic proposition involving the fundamental theorem of algebra ( fta ) is deduced immediately
摘要本文關于解析函數給出了一個可作幾何理解的不等式,由此易得出一個有關解析函數零點的命題,而代數學基本定理成為它的直接推論。This course consists of several major parts, such as derivatives, integration, ordinary differential equation and series
課程內容包括函數、極限與連續、一元函數微分學、一元函數積分學和向量代數與空間解析幾何等幾大板塊。The integral method via a scaling and squaring algorithm with the pade approximation is presented. the three - stage lobatto iii a formula is applied to structural dynamic time history analysis. and the three - stage lobatto a formula to use hermite third order interpolations to solve interpolating middle input between two boundary points is present, which provides more accurate solutions
提出了基於自適應變尺度pad函數逼近的精細積分方法;建立基於lobatto a一階代數微分方程邊界問題數值求解技術求解結構動力學問題的時程分析方法,提出了中間插值點hermite三次插值lobatto a數值逐步積分時程分析方法。Actually, this is to resolve an over - determined nonlinear system including six output values and eight input values. so newton - gauss iterative algorithms is used, set up the target function in the sense of the least squares. it is discussed whether the minimal solution to the function exist and is single one while the astringency of newton - gauss method is analyzed
對于冗餘驅動振動臺,其位姿正解是求解具有八個輸入、六個輸出的超定非線性方程組,因此本文採用了最小二乘法中的牛頓?高斯迭代法,建立最小二乘目標函數,對目標函數極小解的存在性、唯一性以及牛頓?高斯迭代法的收斂性進行了理論證明和分析,將求出的最小值作為位姿正解的最優解。The solution formula of dwell time is deduced by using the pulse iteration method and the smoothing fourier transition method, and the formula can be simplified referring to workpiece shape. according to the anastomotic status of the tool and workpiece surface, we present the new model of the inherent relation among local pressure density, removal rate, convergence ratio and residual errors, and the corresponding formulas are given. the forming cause of the edge effect in the polishing process is analyzed, and the means which reduces the edge effect is put forward
2 、針對計算機控制光學表面成形( ccos )的加工方式、誤差收斂特點,研製了去除函數呈高斯分佈的雙轉子結構研拋模;採用脈沖迭代法、平滑因子傅立葉變換法推導出駐留時間的演算法,求解過程中根據工件面形的特點作了各種形式的簡化;提出了工件表面和研拋模的吻合誤差與局部壓強、材料去除率、收斂比之間內在關系的數學模型,並推導出相應的計算公式;分析了邊緣效應產生的原因,在加工過程中採用相對壓力因子對去除函數進行修正,可以消除邊緣效應的影響。Different results specify that the first kind of cost function is sensitive to the mismatch of ocean depth and receiver location, but is insensitive to sound speed profile ' s % $ jai8x9 @ t $ m & z mismatch and has high accuracy of depth localizaion ; the second kind of cost fimction is insensitive to all three kinds of mismatch, but its resolution of depth is very low ln order to overcome the cost function ' s sensitivity to mismatch, improvemedt of the accuracy of time delay estimation and model calculation may be adopted, when both conditions are reached, the sensitivity wiil be greatly reduced and the resolution of range and depth will be improved at the same time
模擬結果表明,第一類代價函數對海底深度和基陣傾斜失配是敏感的,對聲速失配卻不敏感,並且能夠獲得較高的深度定位精度;第二類代價函數對三種失配都不敏感,只是深度解析度較低。為了克服代價函數對失配的敏感性,可採用提高時延估計精度和模型計算精度的方法。當兩個條件滿足時,敏感性得到極大的抑制並獲得了較高的距離和深度估計精度。We detailed toeplitz operator with unomodular symbol, and generated the theorem proved by michael sand in [ 2 ] from h to h + c ( t ). in the second part of this paper, the author discussed simply when multipliction of two toeplitz operators with symbol in h + c ( t ) or in l. we got two conclusions by analyzing symbol of toeplitz operators. the last, we investigated whether multiplication of two toeplitz operators, which range included all non - cyclic vectors of backward shift, is surjective, and partly answered the question about surjective toeplitz algebra posed by michael sand in [ 2 ]
對于單個的toeplitz運算元,考慮其符號的內外分解,得到了它的滿射只與其幺模部分有關的結論,詳細地討論了符號為幺摸函數的toeplitz運算元的各種情況,在討論符號在h ~的特殊情形時,推廣michaelsand [ 2 ]中的定理2到h ~ + c ( t ) ,第二部分簡單地討論了符號在h ~ + c ( t )以及l ~中的兩個toeplitz運算元的乘積的滿射情況,先對toeplitz運算元的符號進行分析得到兩個結論,最後考察了toeplitz運算元的乘積的值域包含后移運算元的所有非循環向量的滿射情況,部分地回答了michaelsand在[ 2 ]中提出的toeplitz代數滿射問題。And programs for cross dipoles, ring aperture and y aperture are given because they are used widely in application. as for other typical and regular types, full domain basis functions are given and can be used to solve their frequency response by spectral method
本文給出了工程中應用較廣的十字形單元, 「 y 」形、 「環」形孔徑單元的分析程序;對于其它典型、規則的單元形式,則給出了其未知量的整域基函數表示形式,只需代入譜域方法求解即可。The nonlinear exponent is a function of the radial distance from the pumping well. the two - regime well flow problems being in the steady state. in the fourth chapter, the problems of two - regime well flow have been discussed concentrating on a kind of special seepage law
第四章對一種特殊的非線性滲流規律即充分紊流的情況,進行了全面、詳細地討論,推導出了該情況下井流問題的滲流速度、水頭降深和井流函數的解析表達式,作出了些具有代表性的標準曲線。The text in the base of unscrambling concept of private economy particularly, adopting the developing datum about yangtze river delta from 1978 to 2004, the penman analyses private economy ’ s developing course of yangtze river delta, demonstrats its new developing characteristics and direction. however, although it ’ s always in the former rank in the national economy, still exists many problems. at present, financing is one of all - important problems, industrial organization is new way of its competition and amalgamation, and swelling independent technology innovation is a basic point of technology development. the penman believes that analysing and discussing this three problems at present is meanful. this text uses produce - funcion to analysing puzzledom of financing, uses the theory of be independent of manufacturer ’ s scale to analysing the internal forming mechanism, uses cost - benefit model to analyzing the mechanism of innovative impetus, finally, elicits improving countermeasure of its practical situation to putting forward powerful opinion
融資歷來是長三角民營經濟發展的首要制約因素之一;產業集群是其競爭與融合的新走向;技術創新則是其發展的動力源。因此,在現階段對這三個問題的分析討論更具有時代性與必要性。本文運用「柯布? ?道格拉斯」生產函數解析長三角民營經濟的融資困境,分析其融資難成因;運用廠商規模無關論對長三角民營經濟產業集群的內在形成機制進行分析;從長三角民營經濟技術創新的現實模式出發,分析其制約因素,力圖給出幾點可行的對策建議,促進長三角民營經濟在新階段的可持續發展。As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. for technical reasons, in previous works an indeterminate constant a, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the diophantine condition
已有的許多關于迭代方程的解析解結果都是運用優級數法得到的,並要求一個作為未知函數在其不動點處的線性部分的特徵值的常數不在單位圓周上或者在單位圓周上但滿足diophantine條件。In the fifth chapter, we use the the methods of function theory establised a class of analytic reproducing kernel space, we call it a generalized arveson space. we study the relationship of these space, and obtain some intersting results, we also defined toeplitz c * - algebra on the generalized areveson space, obtain some results of toeplitz c * - algebra on the generalized areveson space
在第五章中,我們利用函數論的方法建立了更廣泛的一類解析的再生核空間,稱之為廣義arveson空間,討論了它的一些關系,並得到了一些有趣的結果。還定義了廣義arveson空間上的toeplitzc * -代數,建立了廣義arveson空間上的toeplitzc * -代數的一些性質。分享友人