歐拉曲線 的英文怎麼說

中文拼音 [ōulāqūxiàn]
歐拉曲線 英文
euler's curve
  • 歐 : 名詞1. （姓氏） a surname 2. （歐洲的簡稱） short for europe
  • 拉 : 拉構詞成分。
  • 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...
  • 曲線 : [數學] curve; bight; bought; profile; net曲線板 french curve; irregular curve; curve board; splin...
  1. 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。
  2. In a three - dimensional ocean model with curvilinear coordinates horizontally and a coordinate vertically, the adapted grids at a layer for interpolation in the eulerian - lagrangian method ( elm ) is unreasonable over steep topography, because the vertical distance between the adjacent grids in the same a layer is too large

    摘要在水平曲線坐標和垂向坐標的三維海洋模式下，歐拉拉格朗日方法的插值如果在-面相鄰網格之間進行，那麼在水深變化劇烈處，由於-面相鄰網格之間的垂向距離較大，插值依據會顯得較不合理。
  3. At last, a better idea is presented : in fact, the problem of computing the shape distance between two open curves can be changed to the problem of a functional extremum, therefore, we can get the shape distance through solving an euler equation

    本文在最後還證明了這樣一個結論，兩條平面開曲線的形狀距離的計算問題可以轉化為一個泛函的極值問題，於是通過解一個歐拉方程就可以求出兩條開曲線的形狀距離。
  4. Then, only a given curve satisfied by the conditions of import and outlet of vane wheel as its modular curve will neglect the middle varying processes of in vane wheel, which reflect microscope properties in some degree - flow properties in boundary layer. leading into the velocity - coefficient unifies the boundary layer and eular theory in the design process of vane, which extends the area of selection of vane ' s curves and provides a valuable object function for the optimization design of vane

    那麼，僅憑一條預先給定的滿足葉輪出入口條件的曲線去來作為葉輪的型線，它必將忽略了這種除了葉輪出入口之外的中間變化過程，而這種中間變化在某種程度來說又反映出微觀特性? ?邊界層流動特性；速度系數的引入，它使邊界層理論和歐拉理論在泵的葉輪設計過程中得到統一；它使選擇葉片曲線的域圍拓寬；它也為葉輪的優化設計提供了一個很有參考價值的目標函數。
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