1) generalized projection operator
广义投影映射
3) generalized mapping
广义映射
1.
Methods of generalized mapping are used to realize the transformation from function model to modular structure model.
文中用广义映射的方法实现了从功能域到结构域的映射过程。
4) generalized projection
广义投影
1.
A generalized projection of strongly sub-feasible direction method with strong convergence for nonlinear constrained optimization
非线性约束优化一个强收敛的广义投影强次可行方向法
2.
Optimization problems with general constrains are discussed,a new algorithm with arbitrary initial point is presented by using the generalized projection technique and the idea of strongly subfeasible direction methods.
讨论一般约束最优化 ,利用广义投影技术和强次可行方向法思想 ,建立一个初始点任意的新算法 。
3.
Under mild conditions,a new feasible descent algorithm is presented and its global and superlinear convergence are proved by using the technique of combining generalized projection method with sequential systems of linear equations.
在较温和的条件下，采用广义投影和序列线性方程组相结合的技术，建立一个新的可行下降算法，证明了算法的全局收敛性和超线性收敛性。
5) projection
[英][prə'dʒekʃn] [美][prə'dʒɛkʃən]
投影(映);射影(映)
6) Minkowski projecting mapping
Minkowski投影映射
1.
In this paper a two-variable Minkowski projecting mapping in R~3 will be generalized to n-variable Minkowski projecting smooth immersion as :M→R~(n+1) basing on a fixed point p and n-dimension hypersurface smooth M in R~(n+1)(n≥2).
将R3中2元Minkowski投影映射推广为Rn+1(n≥2)中定点p关于n维光滑超曲面M到Rn+1的Minkowski投影浸入:M→Rn+1,得到n元Minkowski支撑函数φ(u1,u2,…,un)=‖P(u1,u2,…,un)+y0αPα-p‖,并证明当φ(u1,u2,…,un)在M和p(M)的共同临界点x0处不为零,且(bαβ)x0非奇异时,M和p(M)在x0处有共同的切空间Tx0M。
2.
Minkowski projecting mapping Φ:M~2R~3 is confirmed as a mapping smoothly and continuously based on the expression.
由Minkowski投影映射Φ:M2R3的表达式知Φ是连续且光滑的映射;进一步推证得出当M2是R3中2维紧致凸流形和每一点x处rankxΦ=2时,(Φ,M2)是M2到R3中的2维光滑浸入,而且Φ(M2)是R3中的嵌入紧子流形。
补充资料：广义
范围较宽的定义（跟‘狭义’相对）：～的杂文也可以包括小品文在内。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条