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A Mathematical Love Letter Written by a High School Senior (Impressive)

Translated by DeepSeek V4 Pro. Translations can be inaccurate, please refer to the original post for important stuff.

Slightly modified, purely for parody.

Shuzi:
Are you still mad at me?

I always like to call you Shuzi. Do you know why? Because your name and my favorite subject, Mathematics (Shuxue), share a character with the same pronunciation, and in elementary school, mathematics was called Arithmetic (Suanshu).

Perhaps you really are angry with me. However, do you know why the time I spend with you has become a sequence of decreasing functions within our domain (dingyiyu)? I have my reasons. We are both in our senior year of high school, facing various upcoming new permutations and combinations. How much I wish to continue staying in the same combination as you, infinitely. I how much I hope our love were a ray, with only a starting point and no end, rather than a line segment as short as these three years of high school.

If we both study hard from now on, the above ideal can be realized. This is a true proposition. Everything I am doing is drawing auxiliary lines for our future. \therefore You should not be angry with me, \to I say to you: “Don’t be angry anymore.”

But you still haven’t forgiven me. You said to me: “(1) The distance between the two of us is getting further and further. (2) You’ve fallen for another girl.” It seems I really need to prove that these two corollaries of yours are incorrect.

My relationship with “her” is like two skew lines; no matter how they extend, there will be no intersection.
My relationship with “her” is like the two branches of a hyperbola. Although there is some symmetry, there is no intersection.
Actually, Shuzi, until now, I still haven’t solved for the specific value of that “her” you mentioned. Don’t mention “her” anymore; let “her” disappear forever!

Shuzi, let’s get back together, forget all the unpleasant things, transform sums into products (hecha huaji), and reorganize our train of thought.
Shuzi, please truly forgive me. I will never go behind your back and produce any extraneous roots (zenggen). If you don’t believe me, I am ready to accept your verification at any time.
Shuzi, do you know? In these days when you ignored me, my life has been like a geometric progression \{a_n\}, where the first term a_1 = \text{pain}, the common ratio q = \text{missing you} (q > 1), n = \text{number of days}, and the sum of the first n terms S_n = “I really cannot endure the torment formed by the intersection of this pain and missing you.” Shuzi, give me a correct answer! Can you?

Yesterday, I composed a poem to give to you here.

Shuzi,
You are my axis of symmetry,
Without you,
I cannot find the other half of myself;
Shuzi,
You are my range,
Without you,
I don’t know where I should go;
Shuzi,
You are my axiom,
Without you,
I don’t have a single clue;
Shuzi,
You are my necessary condition,
Perhaps you can exist without me,
But,
I absolutely cannot exist without you!
Alright, Shuzi, let’s stop here. My heart truly, forever and ever, has only one You.
Having written so much, you won’t find it too complex, will you? Finally, I want to write one last sentence.
Answer: I love you.

Maths, requesting your forgiveness