proved
- proved的基本解释
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[变形] prove的动词过去式
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[变形] prove的过去分词
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prove的过去式和过去分词, =prove
- 相似词
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In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.
首先,第二章在非Lipschitz条件下,研究了第二类方程的解的存在唯一性问题,在此基础上,又证明了解的稳定性;第三章在非Lipschitz条件下,证明了第二类BSDE解的比较定理,并在此基础上,利用单调迭代的方法,构造性证明了最大、最小解的存在性;第四章在以上的一些理论基础之上,得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果,主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的,得到了最优控制和动态规划的一些结果,在这一章的最后还讨论了相应的效用函数的性质,如,效用函数的单调性、凹性以及风险规避性等;第五章,针对第一类倒向随机微分方程,运用单调迭代方法,证明了最大和最小解的存在性,并研究了解的其它性质及在效用函数上的应用。
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There are series of papers studying the solvability of an incompressible, viscous, instationary fluid contained in a domian bounded entirely by a free surface. In 1977, Solonnikov proved its local solvability in a Holder space for any initial date but without surface tension. In 1984, he considered the same problem in a Sobolev space with surface tension being taken into account. In I992, Mogilevskii and Solonnikov treated the same problem in a Holder space, where the coefficient of surface tension is not a constant. There are also short-time existence results for the solvability of an incompressible, vicous, unsteady fluid bounded above by a free surface and below by a fixed bottom which approach horizontal planes at infinity. In 1981, Beale proved its local solvability in a Sobolev space for any initial date but without surface tension. In 1983, Allain were concerned with the same problem in R〓 with surface tension but under the assumption that the initial fluid domain was near a horizontal strip. In 1987, he obtained the same result without the preceding assumption. In 1996, Tani solved the same problem in R with surface tension. For the solvability of an incompressible viscous instationary fluid in Ω R bounded inside by a free surface S and outside by a rotating boundary S, in 1995 Ciuperca proved its local existence in a Sobolev space for any initial date but without surface tension. In this paper, we consider the same problem with surface tension.
对于边界完全是由自由边界组成的有界区域中粘性不可压流体的非定常运动问题,Solonnikcv于1977年在忽略表面张力情况下证明了初值问题小时间解在Holder空间的存在性,于1984年在有表面张力情况下证明了初值问题问题小时间解在Sobolev空间的存在性,Mogilevskii和Solonnikov于1992年在表面张力系数可以不是常数情况下证明了初值问题小时间解在Holder空间的存在性;对于上面是自由边界、下面是固定边界且两边界在无限处趋于水平的无限区域中粘性不可压流体的非定常运动问题,Beale于1981年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性,Allain于1983年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性,但其中假定初始区域近似是个水平条,他于1987年去掉了这个假定得到同样的结果,Tani于1996年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性;对于R中内面是自由边界、外面是旋转边界S的有界区域中粘性不可压流体的非定常运动问题,Ciuperca于1995年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性,本文考虑了在有表面张力情况下初值问题可解性问题。
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To the problem of unbiasedness of L 1 estimation,basing on uniqueness of solution,Zhou Shijiang proved it according to dual theorem of linear programming; and Wang Zhizhong proved it according to probability statistics theorem by using the method from special to general; also,basing on error distribution theorem and probability statistics theorem,the authors proved it.
对于L1 估计的无偏性问题,周世健基于解法的惟一性,根据线性规划的对偶理论,证明了L1 估计的无偏性[5] ;王志忠根据数理统计理论,采用由特殊情形推广到一般情形的方法,证明了L1 估计的无偏性[6] 。
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proved:证实的
关于第二层次块段资源储量级别的对比,百年以前,当1909年胡佛把矿石储量分为证实的(proved)、概实的(Probable)和远景的(Prospective)3 类,而1910年第11届国际地质大会(瑞典)把储量分成ABC等级别的时候,所表现的都是一种意思,
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proved:证明
一个定理并证明之后就不能被推翻. 这里谢教授是否混淆了证实(confirmed)和证明(proved)两个概念呢?我对这组概念的理解来自于我对汪丁丁教授>这篇文章的理解.
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proved:被证实的
18. take off v.拿掉, 取消, 脱衣, 起飞, 减弱, 离开, 岔开, 复制 | 19. proved 被证实的 | 20. thrilling adj.毛骨悚然的, 颤动的, 发抖的
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proved:事实
examined检查, | proved事实 | oxide氧化氮
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proved recipe:验方
相关短语 Related Phrases | proved recipe 验方 | secret recipe 秘方
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