共軛直線 的英文怎麼說
中文拼音 [gòngèzhíxiàn]
共軛直線
英文
conjugate lines-
Based on the geometry characteristics of bertrand surfaces, the complicated surface conjugation issue can be discussed with their directrix line. according to the different generatrix line which can be divided into common plane curve, circular - arc curve and straight line, bertrand conjugation surfaces are parted into three typical types, and the basic equation and differential formula are established, then the conjugation conditions are found. aiming at the inclusive problem, the structure condition is given
論文將白川德共軛按母線為一般平面曲線、圓弧、直線分為三種典型類型，分別建立了共軛的基本方程與微分關系式，據此給出了各種類型的共軛基本條件，發現這是一類更強更嚴的條件，存在有相容問題，進而研究了白川德共軛的結構條件，至此確立了白川德共軛的基本框架。Analytic solution of roll shape curve of bar straightening roll by conjugate surface theory
共軛旋轉曲面法求解線棒材矯直輥型曲線For solving nonlinear optimization problems, newton method is one of the most efficient methods. as modification to newton method, inexact newton methods are popular for solving the middle and large scale noniinear optimization problems. among them, cf - pcg ( newton - pcg ) method is an efficient improvement to newton method
在非線性最優化的研究中，牛頓法是二階演算法，對牛頓法的改進，一直是人們關注的問題，近年來，用共軛梯度法對它進行改進，即研究牛頓- pcg型方法是國內外的一個研究熱點。Adjoint function algorithms and direct collocation and nonlinear programming methods are applied to resolve the non - coplanar optimal orbit transfers problem
分別利用了共軛函數法與直接配置和非線性規劃方法對異面最優變軌問題進行了求解。At last with the prototype of the vertical - axis cycloid turbine, the optimal method and its mathematical model based on conjugate gradient method are presented in order to enhance the energy conversion coefficient. such optimal results as the energy conversion and the relation between attack angle and azimuth angle are given with particular analysis to sum up the reason of the improved performance of the turbine
最後以豎軸直葉擺線式水輪機為優化原型，提出了一種水輪機水動力性能的優化計算方法，建立了數學模型，運用共軛梯度法進行優化設計，以提高水輪機的能量利用率為目標，給出了優化的葉片攻角變化規律、能量利用率結果，探討了能量利用率提高的原因。In the computational methods of tpbvp, in order to reduce some difficulties involved in solving a tpbvp via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically. it makes the initial iterative variable more easy to be determined
在數值解法中，為了減少解決兩點邊值問題共軛變量帶來的困難，主要討論了將狀態變量和控制變量進行參數化的一種直接方法，這種方法採用了近段發展起來的使用分段的多項式來代替狀態和控制變量的直接優化方法，然後最優控制問題就轉化成可以用數值方法解決的非線性規劃問題，使得迭代初值更加容易選取。( 4 ) the special geometric restrictions like parallelism and perpendicularity implicated in vanishing elements are deeply studied. in single - view case, the theory is presented to interpret relationship between two planar lines by applying 3d invariants of vanishing points. in two - view case, the method on extraction vanishing point of an arbitrary sp atial line is described, and moreover, the theory is presented to interpret relationship between two elements in 3d space, such as two lines, two planes, line and plane, and so on
（ 4 ）詳細論述了消失元素（消失點、消失直線、消失平面等）所體現的垂直、平行等特殊幾何約束關系；對單視圖，提出了一種利用消失點列的3d不變量解釋平面直線關系的方法；對雙視圖，提出了利用自共軛三角形和對極幾何約束，提取任意直線的消失點的演算法，並在此基礎了提出了一種利用消失元素的3d不變量解釋直線間、直線與平面間、平面間等多種空間幾何關系的方法。分享友人