1) narrow-sense multiple optimal solutions
狭义多重最优解
1.
Firstly,some interrelated conceptions of transportation problem are proposed,in which,the multiple optimal solutions is expanded to broad-sense category,the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions are proposed and differentiated.
首先给出了运输问题最优解的相关概念,将最优解扩展到广义范畴,提出狭义多重最优解和广义多重最优解的概念及其区别。
2.
Based on dissertating the study of transportation problem,some concepts were proposed such as the multiple optimal solutions,the numbered multiple optimal solutions,the unnumbered multiple optimal solutions, the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions etc.
在对运输问题研究成果综述的基础之上,归纳出了多重最优解、有限多重最优解、无限多重最优解、狭义多重最优解以及广义多重最优解等概念。
2) broad-sense multiple optimal solutions
广义多重最优解
1.
Firstly,some interrelated conceptions of transportation problem are proposed,in which,the multiple optimal solutions is expanded to broad-sense category,the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions are proposed and differentiated.
首先给出了运输问题最优解的相关概念,将最优解扩展到广义范畴,提出狭义多重最优解和广义多重最优解的概念及其区别。
2.
Based on dissertating the study of transportation problem,some concepts were proposed such as the multiple optimal solutions,the numbered multiple optimal solutions,the unnumbered multiple optimal solutions, the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions etc.
在对运输问题研究成果综述的基础之上,归纳出了多重最优解、有限多重最优解、无限多重最优解、狭义多重最优解以及广义多重最优解等概念。
3) multiple optimal solutions
多重最优解
1.
Firstly,some interrelated conceptions of transportation problem are proposed,in which,the multiple optimal solutions is expanded to broad-sense category,the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions are proposed and differentiated.
首先给出了运输问题最优解的相关概念,将最优解扩展到广义范畴,提出狭义多重最优解和广义多重最优解的概念及其区别。
2.
Based on dissertating the study of transportation problem,some concepts were proposed such as the multiple optimal solutions,the numbered multiple optimal solutions,the unnumbered multiple optimal solutions, the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions etc.
在对运输问题研究成果综述的基础之上,归纳出了多重最优解、有限多重最优解、无限多重最优解、狭义多重最优解以及广义多重最优解等概念。
4) numbered multiple optimal solutions
有限多重最优解
1.
Then some judgment theorem are given and proved,such as the judgment theorem on exclusive optimal solutions,multiple optimal solutions,broad-sense numbered multiple optimal solutions,broad-sense unnumbered multiple optimal solutions.
然后给出了惟一最优解、多重最优解、广义有限多重最优解、广义无限多重最优解的判定定理及其证明过程。
2.
Based on dissertating the study of transportation problem,some concepts were proposed such as the multiple optimal solutions,the numbered multiple optimal solutions,the unnumbered multiple optimal solutions, the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions etc.
在对运输问题研究成果综述的基础之上,归纳出了多重最优解、有限多重最优解、无限多重最优解、狭义多重最优解以及广义多重最优解等概念。
5) unnumbered multiple optimal solutions
无限多重最优解
1.
Then some judgment theorem are given and proved,such as the judgment theorem on exclusive optimal solutions,multiple optimal solutions,broad-sense numbered multiple optimal solutions,broad-sense unnumbered multiple optimal solutions.
然后给出了惟一最优解、多重最优解、广义有限多重最优解、广义无限多重最优解的判定定理及其证明过程。
2.
Based on dissertating the study of transportation problem,some concepts were proposed such as the multiple optimal solutions,the numbered multiple optimal solutions,the unnumbered multiple optimal solutions, the narrow-sense multiple optimal solutions and the broad-sense multiple optimal solutions etc.
在对运输问题研究成果综述的基础之上,归纳出了多重最优解、有限多重最优解、无限多重最优解、狭义多重最优解以及广义多重最优解等概念。
6) generalized α-majorly optimal solution
广义α-较多最优解
补充资料：四祖优波鞠多传法提多迦《佛祖纲目》
【四祖优波鞠多传法提多迦《佛祖纲目》】
优波鞠多。叱利国人。(一名优波崛多。一名邬波鞠多)姓首陀。父善意。十七出家。二十证果。随方行化。至摩突罗国。得度者甚众。繇是魔宫震动。波旬愁怖。遂竭其魔力。以害正法。鞠多即入三昧。观其所繇。波旬复何便。密持璎珞。縻鞠多颈。及鞠多出定。取人狗蛇三尸。化为华鬘。软言谕波旬曰。汝与我璎珞。甚是珍妙。吾此华鬘。以相酬奉。波旬大喜。引颈受之。即变为三种臭尸。虫蛆坏烂。波旬厌恶。大生忧恼。尽其神力。莫能移动。乃升六欲天。告诸天主。又诣梵王。求其解免。彼各告言。十力弟子所作神变。我辈凡陋。何能去之。波旬曰。然则柰何。梵王曰。汝可归心尊者。即能除断。乃为说偈。令其回向曰。若因地倒。还因地起。离地求起。终无其理。波旬受教已。即下天宫。至鞠多所。礼足哀忏。鞠多曰。汝自今去。于如来正法。更作娆害否。波旬曰。我誓回向佛道。永断不善。鞠多曰。若然者。汝可口自唱言。皈依三宝。波旬合掌三唱。华鬘悉除。乃欢喜踊跃。而说偈曰。稽首三界尊。十力圣弟子。我今愿回向。勿令有劣弱。说是偈已。作礼而去。鞠多一日。因访一老比丘尼。才入门。便触撒钵盂。比丘尼曰。佛在日。六群比丘甚是粗行。数来我舍。尚不如是。尊者绍祖位人。得与么粗行。鞠多乃休去。鞠多在世化导。证果最多。每度一人。以一筹置于石室。其室纵十八肘。广十二肘。充满其间。最后有一长者子。名曰香众。来礼鞠多。求出家鞠多问曰。汝身出家。心出家。答曰。我来出家。非为身心。鞠多曰。不为身心。复谁出家。答曰。夫出家者。无我我故。无我我故。即心不生灭。心不生灭。即是常道。诸佛亦常心无形相。其体亦然。鞠多曰。汝当大悟。心自通达。宜依佛法僧。绍隆圣种。即为剃发。授具足戒。仍告之曰。汝父尝梦金日而生。汝可名提多迦。复谓曰。如来以大法眼藏。次第传授。以至于我。今复付汝。听吾偈曰。心自本来心。本心非有法。有法有本心。非心非本法。付法已。乃踊身虚空。呈十八变。却复本座。跏趺而逝。时号无相好佛。提多迦以室内筹。用焚其躯。收舍利建塔。当此土周平王三十年庚子岁也
○有著身见者。求度于鞠多。鞠多曰。求度之法。要信吾言。不违吾教。其人曰。既来投。师固当闻命。鞠多乃化一险崖山耸乔木。令其上树。又于树下。化作大坑。深广千肘。又令放脚。其人受教。即放二脚。令放一手。便放一手。令复放手。其人答言。若复放手。便堕坑死。鞠多曰。先约受教。云何违我。是时其人。身爱即灭。放手而堕。不见树坑。即证道果。
优波鞠多。叱利国人。(一名优波崛多。一名邬波鞠多)姓首陀。父善意。十七出家。二十证果。随方行化。至摩突罗国。得度者甚众。繇是魔宫震动。波旬愁怖。遂竭其魔力。以害正法。鞠多即入三昧。观其所繇。波旬复何便。密持璎珞。縻鞠多颈。及鞠多出定。取人狗蛇三尸。化为华鬘。软言谕波旬曰。汝与我璎珞。甚是珍妙。吾此华鬘。以相酬奉。波旬大喜。引颈受之。即变为三种臭尸。虫蛆坏烂。波旬厌恶。大生忧恼。尽其神力。莫能移动。乃升六欲天。告诸天主。又诣梵王。求其解免。彼各告言。十力弟子所作神变。我辈凡陋。何能去之。波旬曰。然则柰何。梵王曰。汝可归心尊者。即能除断。乃为说偈。令其回向曰。若因地倒。还因地起。离地求起。终无其理。波旬受教已。即下天宫。至鞠多所。礼足哀忏。鞠多曰。汝自今去。于如来正法。更作娆害否。波旬曰。我誓回向佛道。永断不善。鞠多曰。若然者。汝可口自唱言。皈依三宝。波旬合掌三唱。华鬘悉除。乃欢喜踊跃。而说偈曰。稽首三界尊。十力圣弟子。我今愿回向。勿令有劣弱。说是偈已。作礼而去。鞠多一日。因访一老比丘尼。才入门。便触撒钵盂。比丘尼曰。佛在日。六群比丘甚是粗行。数来我舍。尚不如是。尊者绍祖位人。得与么粗行。鞠多乃休去。鞠多在世化导。证果最多。每度一人。以一筹置于石室。其室纵十八肘。广十二肘。充满其间。最后有一长者子。名曰香众。来礼鞠多。求出家鞠多问曰。汝身出家。心出家。答曰。我来出家。非为身心。鞠多曰。不为身心。复谁出家。答曰。夫出家者。无我我故。无我我故。即心不生灭。心不生灭。即是常道。诸佛亦常心无形相。其体亦然。鞠多曰。汝当大悟。心自通达。宜依佛法僧。绍隆圣种。即为剃发。授具足戒。仍告之曰。汝父尝梦金日而生。汝可名提多迦。复谓曰。如来以大法眼藏。次第传授。以至于我。今复付汝。听吾偈曰。心自本来心。本心非有法。有法有本心。非心非本法。付法已。乃踊身虚空。呈十八变。却复本座。跏趺而逝。时号无相好佛。提多迦以室内筹。用焚其躯。收舍利建塔。当此土周平王三十年庚子岁也
○有著身见者。求度于鞠多。鞠多曰。求度之法。要信吾言。不违吾教。其人曰。既来投。师固当闻命。鞠多乃化一险崖山耸乔木。令其上树。又于树下。化作大坑。深广千肘。又令放脚。其人受教。即放二脚。令放一手。便放一手。令复放手。其人答言。若复放手。便堕坑死。鞠多曰。先约受教。云何违我。是时其人。身爱即灭。放手而堕。不见树坑。即证道果。
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