دࣱخُاْ ۋاًخُوَاتࣨ
ۋَ زَى دࣱخُاْ ڤࣱخُا ىُوِ ىِشۇ قِْکوَ جاًش، باَ iPad داَ ج خوتوْ. ۋَ شٍکِ لِ، HTML خا موَ دِىُو. کِش زوْس خُۇَاباً دَى ىُوًبَو زدࣨقِ. نًکً س نًکً، ىٍوِ ۋَ خۇلُوً ش دِ. بۇجً لِ، لوْش شَه: نِمۇ بوخوِ بۇجً، مًدِخٍ.
Childhood
This series is taken from Lú Chānghǎi’s Retrospection. Only after being reminded by a classmate did I come to understand that Chānghǎi’s account of his unique experiences with his contemporaries was not accidental. I did not lament, for they at least had once been the chosen ones, whereas I was far from being someone at the forefront of the present age. No matter how difficult or arduous, or even how resentful, I was merely a country bumpkin, watching the spectacle from afar, unable to take part.
Though our choices varied greatly, my nostalgia was in many ways similar to Chānghǎi. My self-perception in high school was even based on the concept like ‘Muqliongism,’ but the distant past merely existed like still water in an old well, a phantom lodging in the present. The later misfortunes could not be blamed on the hometown; they were equally due to the limits of my nature and mistaken decisions.…
个人视觉识别系统(辛丑)
((报告 书) = (书 (报告 书))
此处曾经有个矫情的声明,说是本文为提交改变语体。现在看来变与不变都无所谓了,当年的不成熟仅没必要地用术语就可见一斑,但这便区别于同样好攀附的 DeepSeek 语风。我自己思想的剧变是次年才开始的。虽然尴尬到难以卒读,为保持原貌尽量只作最小编辑。我记得原文是在有道云笔记,最终在旅馆完成。
高中看到该书的原因是灵均 2016 年短命的「为你读书」项目。我其他报告虽言语不夸张,无用则有甚这篇。近年回看,我对灵均的系列也不抱太多好感,即令毕飞宇的《我读〈时间简史〉》也不免令人不适,我的步武之作只要不显得 ego 极重就烧高香了。
侯世达也不是叛逆者,只是被公正地边缘化的背景板,因为研究方向是不公平的。
最初接触《哥德尔、艾舍尔、巴赫——集异璧之大成》(以下简称《集》)是在我高一因故赋闲之时。彼时我对计算机的理解,至多不过能用 C 语言输出菱形;加之在高中时期,即便不在校园也偏离不了主航道太远,遑论打开这部装帧古旧的厚书「冒充」学习。因此,《集》一向被我束之高阁,时至今日才真正与之共鸣。…
第 34 届山西科创记
我不是科创生。参加省级科技创新大赛用的是课堂项目,应该算普及性质。赛事级别不高,甚至十分潦草。但我能参与其中却绝非易事,个中历程反倒充满了意外。
科技创新大赛是我高中的传统项目。每个同学都要在高一下学期的研究性学习课程自发组合,在大半个学期内完成一项设计制作。全年级分为 150 多组,每组一个项目,其中能被校方青睐送去参赛的,每年也不过十余个。戏剧的是我遇到灾年,由于同级课题质量普遍下降,老师勉强选出7个课题,只能将我们混乱的课题加进来凑数。当然,8个比十余个也少了太多。
其中一个小组放弃,剩余6个参与一年一度的校内展示,不含我们。往年这项展示是十余个选8个的。
Speech before final examination
All of us will attend the Final Examination tomorrow. For some of you, this time might be distinct from the usual ones, determining more than them — for example, whether you will have the right to pay video games or basketball, and how well you will be expected to behave in June next year. Or you just worry that your diligence all over the term will abort.
从容斥到反演
迩来做题接触了些 Möbius 反演、最值反演、二项反演等,总觉其「飘在天上」。在查阅相关离散数学概念后,我决定亲自作一推导,冀能厘清部分缘由。
离散傅里叶变换
考虑傅里叶级数
Lucas 定理补记
前日记于 QQ 空间,Lucas 定理竟就是原系数写为 p 进制,各位计算后相乘。百代莘疑,涣尔冰释,当然这是一个推论。ProofWiki 一证明羚羊挂角,或有请为优质证明者十年。
「一周精选」残稿
本文为「一周精选」周记㝻存的两期,原标题为《#1:过河凿分式,这是唯一的出路!》《一周精选 #2:一个比例一个圆》。这是我在沝(准)高一时计划的。最早或发布于草料二维码,故第一期有「补发于空间」字样。两期在 QQ 空间均发布于 2017 年 9 月 9 日,原发布时间不详。存档时区分数学版块与馀部,数学版块有 Apollonius 圆、法向量、简谐振动、圆锥曲线公式。部分自一位作者读到,此外尚有一些无聊的等价命题变形。
