对偶规划的英文

• dual program

• "对偶"英文翻译    antithesis; antithetical par ...
• "规划"英文翻译    programme; plan draw; mark; ...
• "对偶线性规划" 英文翻译 :    dual linear programming
• "对偶非线性规划" 英文翻译 :    dual nonlinear programming
• "对偶线性规划问题" 英文翻译 :    dual linear programming problem
• "对偶" 英文翻译 :    1.[语言学] (用字数相等、句法相似的语句表现相反或相关的意思的修辞格, 用以加强语言的效果) antithesis; antithetical parallelism2.[数学] (二元的; 二象的; 配对的) dual; pairing
• "奇偶规则" 英文翻译 :    even odd rules
• "规划" 英文翻译 :    1.(比较全面的长远的发展计划) planning; programming; project; schematization; programme; plan 长远规划 long-term programme; 城市建设规划 the city's construction plan; 订规划 draw up a plan; 作出全面规划 make a comprehensive programme; scavenging scheme2.(做规划; 筹划) plan; programme 把今后五年的科学研究工作规划一下 make a plan for scientific research for the coming five years
• "对偶t检验" 英文翻译 :    paired t test; paired t-test
• "对偶词" 英文翻译 :    alliterating word
• "对偶的" 英文翻译 :    antithetic; dual
• "对偶法" 英文翻译 :    paired method
• "对偶格" 英文翻译 :    dual lattice
• "对偶管" 英文翻译 :    pair-to-pair tube
• "对偶基" 英文翻译 :    dual base; duale basis dual basis; reciprocal basis
• "对偶积" 英文翻译 :    co-product
• "对偶件" 英文翻译 :    mating plate
• "对偶解" 英文翻译 :    dual solution
• "对偶律" 英文翻译 :    duality law
• "对偶码" 英文翻译 :    dual code
• "对偶面" 英文翻译 :    dual face
• "对偶模" 英文翻译 :    dualer modul dual module
• "对偶群" 英文翻译 :    dual group
• "对偶式" 英文翻译 :    dual type
• "对偶数" 英文翻译 :    dual numbers; dualzahl dual number

• At the beginning of their research , they could transform some nonlinear programming into relevant dual , such transformation made some outcome almost similar to linear programming . but if they wanted meaningful results , they had to consider convex programming
  在初期，他们发现可以将某些非线性规划表述为一个相应的对偶规划，且有少量相似于线性规划的结果，但如果希望得到有意义的结果，只能考虑凸规划。
• In the progress of deducing the dual of these two problems using the knowledge of convex programming and generalized fenchel theory , you can find lagrange dual of the two programming by lagrange dual in nonlinear programming in this article
  基于凸规划知识和广义的fenchel定理，作者推导出这两类问题的凸对偶规划。同时，发现由非线性规划中lagrange对偶可以获得这两类问题的lagrange对偶规划，且推导过程中没有涉及很深的数学知识，使得应用更为广泛。
• The stress and local stability constraints are transformed into movable lower bounds of sizes . an inverse variable xt = ? is inducted , and the objective function is expanded as second order taylor approximation while the displacement constriction is expanded as first order taylor approximation . the lemke algorithm is used to get the final design result
  把复杂的应力约束和局部稳定约束转化为动态尺寸约束，引入倒变量x _ i 1 / a _ i将目标函数展开为二阶近似，将位移约束用莫尔积分化为一阶近似，用对偶规划方法将原问题化为等价的二次规划问题，调用lemke算法，求得最优设计结果。
• According to the dual theory , a simple geometric programming was proposed to derive a corresponding geometric dual problem instead of cross - entropy optimization problem with cross - entropy constrains , which is a concave programming one with linear constrains , leading to a simpler calculation
  根据对偶理论，提出了一个简单的几何规划，该方法把一个带有叉熵约束的叉熵优化问题转化成了一个对偶规划，而对偶规划是一个只需要解决一个带有线性约束的凸规划问题，比较容易计算。
• 2 . for the problem with size , stress and displacement constraints , the stress constraint is transformed into movable lower bounds of sizes , the displacement constraint is transformed into an approximate function which explicitly includes design variables by using mohr integral theory . a mathematical programming model of the optimization problem is set up . the dual programming of the model is approached into a quadratic programming model
  2 .对于尺寸、应力和位移约束的问题，将应力约束化为动态下限，用单位虚荷载方法将位移约束近似显式化，构造优化问题的数学规划模型，将其对偶规划处理为二次规划问题，采用lemke算法进行求解，得到满足尺寸、应力和位移约束条件的截面最优解。
• It is well known that wolfe type and mond - weir type duals are important duals in mathematical programming . professor xu ( ref . 35 ) firstly introduced a mixed type dual in multiobjective programming , which is more general and flexible than the above two duals . recently , it was pointed out that if a function is invex , then it is f - convex by ref . 37 and vice versa
  我们知道，在所有的对偶规划中， wolf型和mond - weir型对偶是两类重要的对偶，而徐教授在文献[ 35 ]中，又针对多目标规划首次提出了混合型对偶的概念，它比以上提及的两类重要对偶，更具一般性和灵活性。