本文的目的是给出有限非齐次马氏链占据时间的一个强大数定律,其结果是齐次马氏链情形的推广。
The purpose of this paper is to give a strong law of large numbers for occupation time of finite non-homogeneous Markov chains, which is an extension of the one of the homogeneous Markov chains.
如果我们不再自欺欺人的话,科技只是另一种占据我们时间和思想的方式。
If we're honest with ourselves, tech is just another way to occupy our time and minds.
处理犯罪问题占据了他们的其余时间。
我们从一月份开始做广告,而比赛占据了全年的大部分时间。
We start advertising in January and the competition takes up a lot of the year.
200年或更久的时间里,一棵巨大的橡树占据了它的土地,投下浓密的树荫,吸收土壤中所有自由水分,打败了所有其他可能成为树冠的树木。
A massive oak claims its ground for 200 years or more, outcompeting all other would-be canopy trees by casting a dense shade and drawing up any free water in the soil.
占据学生大量学习时间。
孩子们使用电子设备的时间越来越长,占据了他们玩耍的时间。
Increased use of digital devices steals away children's playtime.
它占据了我课外的一点时间。
桑迪周末很少出去,因为阅读占据了她大部分的空闲时间。
Sandy seldom goes out at weekends because reading takes up most of her free time.
我随后发现他们正在讨论的是这次会晤会在当晚地方新闻节目中占据多长时间以及我的照片会不会在第二天的报纸中出现。
I found out later they were discussing how much time the encounter would take up on the local news programs that evening and if my picture would be in the paper the following day.
实际上,它每周仅仅占据我一两个小时的时间。
Actually, it only takes about an hour or two of my time each week.
一些常规工作占据了你比他们原来应该需要的更多的时间。
Some regular tasks are taking up far more of your time than they should.
他们都曾在不同的时间占据了我的注意力。
Both men have fully occupied my attention at different times.
我有重要的工作,它占据了我全部的时间。
在所有测试中,这些操作占用的事务时间占据了总事务时间的大部分。
The transaction times for these operations made up the bulk of total transaction time during all our tests.
爱会占据你:简单地说,在大部分时间里,你想着你的恋人。
Pre-occupied love: Simply stated, you think about the one you love most of the time.
不要让上述行为形成习惯,或者你的客户翻过来期望额外的工作量来你占据全部的时间:这会迅速燃尽自由职业者的生命。
Don’t make it a habit, or your clients will come to expect thatextra workload of you all the time: a quick path to freelance burn-out.
或者他生活里突然有了占据他时间的新“计划”新“兴趣”而你感到他在隐藏什么。
Or if there's suddenly some new 'project' or 'interest' in his life that takes up his time and where you feel he's hiding something.
如果我们在日常生活中闹情绪,不管是因为社会、身体或者精神问题,这必然有害于工作,因为工作占据了我们大部分的时间。
If our personal life - social, physical, or emotional - is suffering, it will invariably poison the workday, since that's where most of us spend the majority of our time.
工作占据了我们大部分的时间。
虽然大部分小孩的父母都不愿意承认,但没什么其他东西像电视这样占据小孩子的时间了。
As most parents of small children will reluctantly admit, nothing can occupy a child quite like television.
分析工具会做很多事情,包括分解应用所花的时间和占据的内存。
Profiling tools do quite a few things, including breaking down where time and memory is being spent in an application.
特别是,同为医生的夫妻更愿意晚要孩子,而且感到工作占据了他们大部分时间,使他们无暇顾及家庭。
Specifically, two-doctor couples were more likely to delay having children and to feel that their work did not leave enough time for a family life.
生意占据了裁缝的大部分时间。
这也有它们自己的问题,比如显示服务器必须是复杂的多任务虚拟机,来阻止程序占据所有的显示时间。
This had its own problems, such as the fact that the display server effectively needed to be a complex multitasking virtual machine to prevent programs from taking over all of the display's time.
并且微软吸收雅虎的一体化进程会占据管理层大量精力与时间。
The integration effort will distract Microsoft's management and take time.
这些都占据了你很多宝贵的时间。问问你自己,我真的需要这些吗?
This takes up more of your valuable times Ask yourself this, do I need all this stuff?
粒子在一个时间占据着两个或者多个地方。直到测量到它们以后,他们才有定义明确的性质。
Particles routinely occupy two or more places at the same time and don't even have well-defined properties until they are measured.
事实上,涉及一次旅行所做的准备工作,占据了出发前80%的时间,剩下的20%才是旅途中所花费的时间。
Work that goes into a trip is, in fact, made up of 80% of the time spent before leaving, and the remaining 20% once on your way.
事实上,涉及一次旅行所做的准备工作,占据了出发前80%的时间,剩下的20%才是旅途中所花费的时间。
Work that goes into a trip is, in fact, made up of 80% of the time spent before leaving, and the remaining 20% once on your way.
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