降次多項式 的英文怎麼說

中文拼音 [jiàngcìduōxiàngshì]
降次多項式 英文
depressed polynomial
  • 降 : 降動詞1. （投降） surrender; capitulate 2. （降伏） subdue; vanquish; tame
  • 次 : Ⅰ名詞1 （次序; 等第） order; sequence 2 [書面語] （出外遠行時停留的處所） stopping place on a jou...
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  1. 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
  2. First, according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame, the structure of the models is predigested preliminarily ; secondly, according to the quality indexes and the coupling quality between frames, relatively small quantum is neglected. so the complex non - linear coupling models of the sonar array are predigested farther ; lastly, considering the characteristic of the model coefficient matrix, the methods of the low rank polynomial approach and the error simulation are introduced. so the models are predigested again

    首先從聲納基陣框架結構的正交性和工作點的合理選擇出發，使模型的結構得以簡化；其次根據系統性能指標及框架間耦合性強弱，忽略相對小量，對聲納基陣復雜的非線性耦合模型進一步簡化；最後考慮模型系數矩陣的特點，運用低階多項式逼近和誤差模擬的方法，實現了對模型的再次降階簡化處理。
  3. By using the solutions of a new auxiliary elliptic equation, a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations. the main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation. therefore, the derived algebraic equations are greatly simplified. meanwhile, the obtained new solutions contain more parameters to be chosen. for some special cases, they give the previous known solutions. it is shown that some new exact periodic solutions of some nonlinear evolution equations are explicitly obtained with the aid of symbolic computation

    利用一個新的輔助橢圓方程將求解非線性發展方程精確解的問題轉化為一個代數方程組進行求解，與已有的輔助橢圓方程法的主要不同是，應用這一新的輔助橢圓方程后降低了平衡次數，減少了所得的代數方程組的個數和方程的項數，從而大大地簡化了代數方程組的求解.同時，由於輔助橢圓方程的解中包含了更多的可選參數，從而給出了非線性發展方程的更多形式的解.作為應用，藉助于計算機的符號計算，求得了一些非線性發展方程的新的精確周期解
  4. For the power descent mission, two guidance methods are presented based on polynomial planning and sequential quadratic programming

    針對動力下降段任務，給出了基於多項式規劃和二次序列規劃的月球軟著陸制導方法。
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