我希望这个系列的文章能启发其他开发人员出于乐趣、技术或学习挑战的目的而用php来实现数学例程。
I hope that this series of articles inspires other developers to implement math routines in PHP for the pleasure, technical, or learning challenges involved.
我最大的挑战是学习如何在餐桌上举止得体。
My biggest challenge is learning how to behave at the dinner table.
我真的很喜欢比赛，所以，你知道，我在大学时踢足球，我最大的挑战以及我并不能每次都成功的事情是在足球赛季里学习。
I really love competing, so you know I played soccer in college and my biggest challenge, and I didn't always succeed, was getting my studying in during soccer season.
学习的便捷性和迅速的技术变革给传统的教育模式带来了挑战。
The easy access to learning and rapid technological changes have brought the traditional model of education under challenge.
上进心强的学生觉得学习是愉快且有益的，因此保持着强烈的欲望去获取新的知识和技能，并有足够的勇气去迎接新的挑战。
Highly motivated students find learning pleasant and rewarding, and therefore maintain a strong desire to acquire new knowledge and skills, and enough courage to meet new challenges.
通过这个清晰透镜，问题变为挑战，挑战变为学习的机会。
Through this clear lens, problems become challenges, and challenges become opportunities for learning.
如果大学决定采用这种学习模式，它们将不得不应对许多组织上的挑战，而这些挑战可能会动摇其统一的地位和行动。
If universities decide to engage in this learning model, they will have to cope with many organisational challenges that might shake their unity of place and action.
这对于大学来讲可能解决了组织上面临的主要挑战，但对于学习者而言，由于缺乏时间、家庭义务或资金，挑战仍然存在。
This could fix the main organisational challenges for the university, but not for the learners, due to lack of time, family obligations or funds.
参加更具挑战性的课程和花更多时间学习的学生确实会学到更多。
Students who take more challenging classes and spend more time studying do learn more.
我亲爱的英语老师陈老师，经常鼓励我面对学习上的挑战。
Miss Chen, my dear English teacher, often encourages me to face the challenges in my study.
当你遇到挑战时，你可以从中学习，并且把它当作一个机会来克服它。
When there's a challenge presented to you, you can learn from it and use it as a chance to overcome it.
青少年总有一天会长大，离开父母，独自面对生活的挑战，所以他们应该学习基本的生活技能，并养成良好的工作习惯。
Teens will finally grow up some day, leaving their parents and facing the challenges in life alone, so they should learn basic life skills and form good working habits.
你在那里学习时，将不得不面对日常生活中从未经历过的挑战，但经过一年的国外生活，你将会以新的面貌、新的自我回归。
When you study there, you will have to face challenges in everyday life that you have never experienced before, but after a year abroad, you will return with a new look at life—and at yourself.
他说，当你 a）对你正在学习的东西感兴趣并且喜欢它，b）你能控制你所学的东西，c）你接受有挑战性、让你努力思考的任务时，大脑的变化是最剧烈的。
He says that brain change is strongest when a) you are interested in and like what you are learning, b) you are in control of what you learn and c) you get challenging tasks that make you think hard.
颇具挑战的快乐恰恰舞曲激发了他们对英语学习的兴趣。
The challenging Chilly Cha Cha spurs their interests in English.
我喜欢挑战，学习更多有关如何操作系统和社区是如何从技术上和社会上结合到一起的。
I enjoy the challenges and learning more about how an operating system and community fit together technically, and also socially.
相反地，他们会成为要面对要克服甚至要从中学习的挑战。
Rather, they are challenges to be faced, to be overcome, and to be learned from.
挑战自己的心智，学习新技能。
首先，不要把退步当做失败，而是当做挑战和学习的机会。
First, don't treat setbacks as failures, but rather as challenges and learning opportunities.
所以，接受惊喜并视其为一种挑战，从变化中学习。
So, accept surprises as a challenge and learn from every moment of change.
最近几年里，我一直都在做出一些个人挑战——去学习这个世界，扩展自己的兴趣，教导自己更加伟大的规则。
Every year in recent memory, I've taken on a personal challenge — something to learn about the world, expand my interests and teach myself greater discipline.
通过这种挑战，要学习的不仅是把内容归结为上述的主题类型（概念、任务或参考），还要考虑整个学习目标的上下文。
The challenge here is to learn how not only to assign content to one of the agreed-upon topic types (concept, task, or reference), but also to mind the context of the overall learning objective.
喜欢学习和脑力挑战。
喜欢学习和脑力挑战。
如果你面对挑战，感谢有机会从中学习。
If you're facing a challenge, be grateful for the opportunity to learn from it.
对于任何新的经验，您可以通过在完成任务的过程中所碰到的挑战来学习，有时可能煞费周折。
With any new experience, you learn through the challenge — sometimes struggle — to get the task completed.
然后要继续挑战自我，因为学习不是到毕业就终止了。
And then keep on challenging yourself, because learning doesn't end with graduation.
然后要继续挑战自我，因为学习不是到毕业就终止了。
And then keep on challenging yourself, because learning doesn't end with graduation.
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