equivalent mapping 中文意思是什麼

equivalent mapping 解釋
保面積映射
  • equivalent : adj 1 相當的，相同的，同等的。2 【化學】等價的，當量的；【數學】等價的；等量的；等勢的；【物理學...
  • mapping : n. 【數學】映像，映射。
  1. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  2. The explicit finite element method ( fem ) based on the varying time - step was selected to analyse the dynamic roll - pass process ; the nodes on the leading face of the steady - state elements set was extracted and projected onto a plane to give the required mesh, also called the origin mesh ; the implicit fem was selected to analyses the inter - pass transient thermal process ; a geometric part from the mesh was generated and meshed by using the quadrilateral elements, a heat transfer analysis was selected to transfer the node temperature data ; a new model was created by using hexahedral elements, mapping the node temperature and the equivalent plastic strain on the integration points

    利用基於變步長中心差分格式的顯式積分方法分析瞬態軋制過程；提取穩態單元集節點形成截面網格；利用隱式積分方法分析軋制道次間隙瞬態溫度場；對型鋼斷面進行平面四邊形網格劃分並映射節點溫度數據；利用六面體單元構建有限元分析模型，映射單元節點的溫度、積分點的等效塑性應變，進行數值分析。
  3. By means of equivalent transformation of conjugate condition, the conjugate mapping proc ess is separated from the concrete forms of generator and conjugate movement th us achieved intellecturalization and automatization of synthesis of conjugate cu rves

    通過共軛條件的等價變換，將共軛映射過程與母曲線及共軛運動的具體型式隔離開來，從而達到共軛曲線綜合的智能化、自動化。
  4. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
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