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这里有一篇同时被哈佛、耶鲁、MIT看上的essay等你查收~

原创

OfferMachine2017-01-03 责任编辑:Ann

Brenden Rodriquez是一名来自哈佛大学机械工程专业的新生,在被巨大的哈佛光环笼罩之前,他已经得到了众多顶级学校的青睐!

除了哈佛,耶鲁、MIT、哥伦比亚大学、弗吉尼亚大学等都向他抛来了橄榄枝~

原因不是别的,正是他的一篇充满个人风格的essay,寥寥数百字,将自己最爱的音乐和数学交联一体,流畅、精密、在科学的铠甲下充满想象力灵魂与肉体,让人读完只想走进作者的大脑一探究竟!


在文章的开始,他是这样写的:

I think about the converging waves of the notes I play, the standing waves being created by plucking a string, and the physics behind the air pockets being forged that eventually find a listening ear whenever I sit down to play my bass. Thus, my passions of math and music synergistically become more together than they could ever be apart. I started thinking about this when a former math teacher of mine approached me one afternoon and asked me if I was interested in giving the induction speech at the Mu Alpha Theta induction ceremony. Being a member of the honor society and recounting the memorable induction speech given the year prior at my own induction, I wholeheartedly agreed. I decided on the topic of music and math because I play upright bass in the orchestra and electric bass in the jazz ensemble and being a math enthusiast, it is impossible for me not to see the mathematics and physics present in music.

...我决定将音乐和数学作为自己研究的主题是因为我在管弦乐队演奏低音提琴、在爵士乐团演奏电贝司,同时作为一名数学爱好者,我不可能对数学和物理在音乐中的体现视而不见。


紧接着他详细分析了数学之于音乐的体现:

At music’s core, math is present in the tempo and rhythm of a piece, with the time signature being represented as a fraction and the tempo being represented by a numerical value in beats per minute. The relationship between the two gets even more intriguing when applied to actual notes being played. The best sounding music is that which uses flawless mathematics. It is common knowledge that each note has a letter name—A through G—but also has a number value, measured in hertz. An A4 for instance is 440 hertz. In Beethoven’s “Moonlight Sonata,” there exist triads in triplet form. These triads are made up of D, F#, and A. Since sound is a vibrational energy, notes can be graphed as sine functions. When the triad notes are graphed, they intersect at their starting point and at the point 0.042. At this point the D has gone through two full cycles, the F# two and a half, and the A three. This results in consonance, something that sounds naturally pleasant to the ear. Thinking about this opened my eyes to all the aspects of my life with which I utilize math to enhance.

在音乐的核心,数学表现为每一段的速度和节奏,拍子记号被表示为分数,节奏则被表示为每分钟打拍子的数值......最完美的音乐一定是使用了最无瑕疵的音乐。


甚至是运动(足球),他也可以用数学来解释:

There is also an incredible amount of unseen math present in football. At 5 foot 10 inches and 160 pounds with pads on, I fall short of the average player at my position who is usually at least 6 feet tall and well over 200 pounds, so applying math to football is intellectually stimulating, but is more importantly a survival mechanism. When I have to go up against an opponent who is over twice my size and looks like he eats freshmen for lunch, brute force is not on my side and it helps having equations for momentum and attack angle running through my head. Math not only helps me survive, but also thrive. As an opponent running back is darting down the sideline with seemingly cheetah-like speed, I can trust that my angles and velocity will allow me to make the play and possibly save a game-changing touchdown. Or when a ball is sailing through the air caught in the stadium lights, I can picture a projectile motion problem with constant acceleration downward and a near constant velocity in the x-direction, and know that I have a leg up on the player next to me who does not think about it the way I do. When I look at aspects of my life in a math context, they make more sense and make things that I love even better and more enjoyable.

...当一个对手以猎豹般的速度跑回来的时候,我相信我的角度和速度将允许我获得一个能够改变游戏的触地得分...当我从数学的角度查看自己的生活时,他们显然变得更有意义,我也更能享受其中。



爱则专注,专注则精通,精通则能融汇贯通,小哥的文章充分说明了什么叫做“真爱”,难怪这么多顶级大学抛来橄榄枝,如此热忱、专注、加上一定的智慧用功,怎么看来都是大有可为的。











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