I admire the ancients more and more for speaking the truth: “Time flies like an arrow, and days and months pass like a shuttle.” Indeed, the final exams seem like they were only yesterday, yet today I am going back to school; in the blink of an eye, a month has passed.
Undoubtedly, due to my laziness and lack of persistence, I have wasted a lot of my time. Looking back at the winter break, what have I actually gained? It mainly falls into two aspects: academics and emotions.
In terms of academics, it was mainly content within mathematics and astronomy. In mathematics, I primarily delved deeper into calculus, deepening my understanding of the ideas of calculus a little bit and becoming slightly more familiar with differential equations (systems). I have a very familiar feeling: self-studying higher mathematics now is just like when I was in primary school studying middle school mathematics. Back then I was quite silly; the book said \lim_{\Delta x \to 0} f'(x) = \frac{f(x+\Delta x) - f(x)}{\Delta x}, and I couldn’t understand this formula, feeling depressed all day wondering if f(x) meant f \cdot (x). However, even though I didn’t understand those things then, I still knew how to apply them. I used the most basic definition of a derivative to find extrema, which led to some interesting discoveries and increased my interest manifold. Studying calculus now gives me the same feeling; I feel I have only touched upon it very superficially, and there is still much waiting to be carefully pondered...
In astronomy, I basically read through the foundational knowledge once more. I found that while studying the basics, I often unconsciously went deeper. For example, learning the law of universal gravitation and Kepler’s three laws is an easy task for a high school student, but then I wondered how to derive Kepler’s three laws starting from the law of universal gravitation, which in turn involved the two-body problem and N-body problems, and then I went on to look at “Celestial Mechanics”... In the process, my mathematical ability was also driven forward. During this time, many books from distant places have found their way onto my bookshelf...
Regarding emotions, it wasn’t actually something I experienced personally, but in the process of mediating conflicts for others, I learned a lot: between two people, they must cherish each other, be tolerant and understanding, and give silently without being self-sacrificing to the point of harm. This involved a question of dignity. My personal view is: if it is just a matter between two people, then the concept of dignity no longer exists; even if you possess a lot of dignity, such possession is meaningless... When two people get along, there will always be friction. In fact, as long as one person speaks first, the friction will disappear; if one “sulks” for the sake of dignity, they will lose a lot... Additionally, I found that my writing level has improved a lot, and my persuasion skills are “very strong”... ^_^
Facing the new semester, my heart is full of infinite hope and longing. I will continue to cheer for myself!
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