曲線的階 的英文怎麼說

中文拼音 [qūxiàndejiē]
曲線的階 英文
order of a curve
  • 曲 : 曲名詞1 （一種韻文形式） qu a type of verse for singing which emerged in the southern song and ji...
  • 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...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 階 : 名詞1. （臺階） steps; stairs 2. （等級） rank 3. [醫學] （耳蝸的三個螺旋管的任一個） scala 4. [數學] order 5. [地質學] stage
  • 曲線 : [數學] curve; bight; bought; profile; net曲線板 french curve; irregular curve; curve board; splin...
  1. An analysis of the uniformity between the curve of second order ' s affine nature and the related nature in analytic geometry

    論二階曲線的仿射性質與解析幾何中有關性質的一致性
  2. Presents a new method for fairing of curves which has a small flexibility based on fitting the derivative of second order of curves. we fit the derivative of second order of curves by a polynomial fitting, then find an indefinite integral of this polynomial to get a approach of curves. otherwise, we discuss the analyze of the error and the optimize of fairing to this arithmetic

    提出了一種針對小撓度曲線的逆向曲線光順演算法，該演算法直接擬合曲線型值點列的二階導數曲線，然後通過兩次積分來反求出光順后的曲線，並對該演算法的誤差分析、效果分析、光順優化等問題進行了深入探討。
  3. Quartic ph curves are studied. their contribution of cusps and inflections are discussed in this paper. a first - order hermite interpolation by quartic ph curves is obtained

    文中還研究了四次ph曲線，討論了其尖點和拐點的分佈情況，得出了四次ph曲線的一階hermite插值的解。
  4. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  5. Second order polynomial regression mathematical model treatment of flow capacity - lift head property curve of centrifugal pump

    揚程性能曲線的二階多項式回歸數學模型處理
  6. Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties

    二、利用廣義差商，基於多項式b樣條的deboor - fix遞推定義，給出了任意階非均勻代數雙曲b樣條的遞推定義，由此構造麯線，證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等，重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法，演算法簡單且穩定，便於在計算機上實現
  7. The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal

    首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度，給出了相應的幾何等距逼近演算法，進一步結合法矢方向曲線的升階獲得了高精度逼近
  8. For this regime, the heat transfer is usually predicted by the linear interpolation or extrapolation of the results of turbulent and / or laminar regimes, associated with great uncertainty in the evaluation of the performance of heat transfer

    現階段人們在實際計算中，往往採用線性內插法或延伸湍流區和層流區傳熱曲線的方法，從而使結果存在很大的不確定性。
  9. Two methods are given. one is obtained by using degree reduction of interval rational bezier curves in two parameter directions according to the character of tensor product, which is called " single step method ". by comparison for degree reductions produced by the different order in two parameter directions, the relationships of the approximation results are discussed

    然後討論了矩形域上區間有理bezier曲面的降階問題，給出兩種降階演算法：一個是針對張量積的特點將問題轉變為兩參數方向的區間有理曲線的降階逼近，即「單步法」 ，並討論單步法沿兩參數方向不同次序降階的關系。
  10. Operation layer is the basic core part in elliptic curve encryption system including how to calculate elliptic curve ' s stairs is a large prime or including a large prime gene to ensure elliptic curve to be safe elliptic curve ; in this article safe elliptic curve is chosen by p1363 sae algorithm. besides, how to achieve fast point multiplication will influence the performance efficiency of the whole encryption system ; in this article, for different situations, signed binary method and rolling window method are respectively applied to perform quick operation of elliptic curve ' s point multiplication

    運算層是橢圓曲線密碼體制實現的最基礎、最核心的部分，包括如何來計算橢圓曲線的階為大素數或含有一個大的素因子，以保證所選取的橢圓曲線為安全橢圓曲線，本文根據ieeep1363協議的sea演算法實現了安全橢圓曲線的選取；另外如何實現標量乘的快速運算，將會影響整個密碼系統的實現效率，本文根據不同情況對橢圓曲線的標量乘法分別採用了帶符號的二進製法和滑動窗口法進行快速運算。
  11. And classic pid control method and numerical pid control method have been introduced in the paper. the paper adopt stabilization border method to set the pid parameters and simulates the control system which is based on matlab / simulink. simulation results indicate that pid control ’ s simulation results have a good effect in low - frequency stage, but it is not perfect in mid - frequency and high - frequency stage

    採用穩定邊界法實現對pid參數的整定，並基於matlab / simulink對控制系統進行了模擬，模擬結果表明:低頻段pid控制正弦跟蹤曲線取得了良好的效果，而在中頻和高頻段時的跟蹤效果不是很好， pid控制的階躍響應超調量較大， pid控制三角波曲線的高頻性能也不理想。
  12. The author ' s work gives new way, which is beneficial to real time interaction and can efficiently reduce computing time as well as data storage amount. these algorithms can find good use in numerical machining, robotics, form - position tolerance and computer graphics. ( 3 ) degree reduction for nurbs curves and surfaces by applying the theory of the best uniform approximation of chebyshev polynomials and the explicit matrix representation of nurbs curves, this thesis centers on the research of the explicit nearly best approximation of multi - degree reduction of nurbs curves

    以上關于等距曲線的幾何逼近與代數逼近的演算法改革了當前國際圖形界只能對基曲線沿法矢方向平移定距離的點作近似逼近的固定模式，創造了利於交互操作，能有效地減少計算量及數據存儲量的新方法，可在數控加工、浙江大學碩士學位論文機器人、形位公差學、計算機圖形學中獲得很好的應用（ 3 ） nurbs曲線曲面降階應用nurbs曲線的顯式矩陣表示及chebyshev多項式逼近理論，以實現nurbs曲線顯式一次性降多階的近似最佳逼近為目標進行了研究
  13. But compared with the present experimental data, our results show fair agreement with them, ( ii ) the correlation energy of charged excitons versus the quantum well width is also basically conformed to the previous results

    （ 2 ）帶電激於體系的相關能隨階寬的變化與前人的結果大致相符，其絕對值略低於前人的理論數值，但是曲線的變化趨勢保持一致。
  14. In the use of the recurrence definition and the matrix presentation of nurbs curve, the algorithm of curve is outlined from the correspondent algorithm of b - spline, concerning on the evaluating, derivative, integral, knots inserting and degree elevating

    利用nurbs曲線基函數的定義和nurbs曲線的矩陣表示，從b樣條的相關演算法出發，可解決nurbs曲線的求值、求導、求積演算法和nurbs曲線的節點、升階演算法等問題。
  15. This research is based on a group of countries in deferent developing phase in the same period. then, by using spss statistic software, from the regressive model, we made a conclusion that a cubic curve is found to describe the law of the housing ratio that change with economic development. we hereby divide the cubic curve into three phases : rising, falling, and re - rising, then we analysis the character of each phase

    本文採用橫向數據分析法，研究了同一時期處于不同經濟發展水平的一系列國家住宅產業增加值在gdp中所佔的比率，然後藉助spss統計軟體進行回歸分析，得出了住宅比率隨經濟發展呈現三次曲線的變化規律的結論，並據此劃分了住宅產業發展軌跡的三個階段，即上升階段、下降階段、再上升階段，分析了每個階段的基本特徵。
  16. This algorithmcarries on two values pictures processing in the differencefoundation, according to the human body statistical characteristic, proposed through the judgement projection curve second time derivativesize, determines the person face boundary the method

    該演算法在差分的基礎上進行二值圖像處理，根據人體的統計特徵，提出通過判斷投影曲線的二階導數大小，來確定人臉邊界的方法。
  17. In the second chapter some problems for degree reduction of bezier curves and surfaces are studied. in this chapter, degree reduction of bezier curves with points constraints is proposed and the new approach of constrained optimization is brought in light. the stepwise method for degree reduction of rectangular bezier surfaces is further discussed

    第二章研究b zier曲線曲面的降階逼近問題，在這一章中，提出了b zier曲線的點約束降階逼近新問題，並給出了約束優化方法；討論了張量積b zier曲面的逐步降階逼近新方法，此方法的優點是直接利用b zier曲線的降階逼近方法解決張量積b zier曲面的降階逼近問題。
  18. At present, it is still in the middle stage of kuznets curve ; the differences of income in the interior of the east and the west are bigger than the middle, and they have been in the scope of income inequality which is regarded to be bigger by the international ; the phenomenon of " the club convergence " of income growth of the fanner between the east and the middle is obvious, but this can not appear between the east and the west, the west and the middle ; the differences in the interior of the high income area and the low income area are smaller than in the interior of the other areas in which the differences are increasing, this conforms to " the u " theory. by adopting theil model to analysis the general farmers incomes differences based on various regions, it is showed clearly that the farmers income inequality among different areas is the main reason to result to rural income differences. this part contents chapter 1, chapter 2 and chapter 3

    結果表明，無論從那個角度來看，改革以來，我國地區間農民收入均呈現差異擴大的態勢，而且擴大的速度快，幅度大，且目前仍處在庫茲涅茲所提出的「 u型」曲線的中期階段；東部與西部地區內部各省之間收入差異較大，目前已進入國際上公認的較大不平等的范圍，而中部內部差異較小，目前仍處于合理范圍之內；同時農民收入增長在東部與中部之間出現了新經濟增長理論所揭示的「俱樂部收斂」現象，而這一現象在東部與西部、中部與西部之間卻沒有發生；高收入與低收入水平區內部差異小，而介於中間收入水平的區域內部差異較大，且保持著較強的擴大趨勢，這一點基本上與「 u型」理論的結論相符。
  19. By analysis of frequency spectrum based on matlab platform, wavelet method in the application of cutting out a section of inputting earthquake wave was presented. in the process of pseudo dynamic test results, the method of non - dimensional representation and analytic representation of hysteretic curve was provided. the above two methods will help to compare dissipation energy capacity of this structure at the different acceleration peak value stage of pseudo dynamic test more precisely and comparably

    通過基於matlab的地震波頻譜分析，說明了小波分析方法在擬動力試西安建築科技大學博士學位論文驗中地震波截取方面的應用；在擬動力分段試驗數據的處理方面，本文將試驗結果的無綱量表示方法以及曲線的多項式擬合法引入滯回曲線的數據處理，這將有助於擬動力試驗不同加速度峰值條件下，各階段結構耗能能力的客觀比較。
  20. After this work, the paper discusses the property of uniform curve. when the multiplies of end knots equal the order of the basis, the inner knots are also the simple knots, the rational b - splines are translated to the rational b zier - like basis. studies show that these basis have the similar properties with the b zier basis, and satisfied the new recurrence relation

    其次，在低階情況，研究了形狀參數對曲線的影響，並且討論了均勻情況下曲線獨有的特性，當k階有理b樣條端節點重復度達到k時，而內節點重復度為零時，這種有理b樣條轉化為一種有理b zier基函數，它們的很多性質和b zier基有驚人的相同點，滿足新的遞推關系
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