[{"data":1,"prerenderedAt":214},["ShallowReactive",2],{"blogs-tag-thoughts":3},[4,14,21,28,36,44,52,59,68,75,83,90,97,104,111,120,127,134,141,148,157,164,172,180,187,193,199,207],{"title":5,"summary":6,"image":7,"onday":8,"tags":9,"path":12,"id":13},"The Fréchet Mean Prototype","The Fréchet Mean Prototype is the center point in a metric space that minimizes the sum of the squared distances to all data points. It extends the averaging operation from flat vector spaces to arbitrary curved spaces or complex objects.","","2026-04-25",[10,11],"mathematics","machine-learning","\u002Fblog\u002F2026\u002F2026-04-25-the-frechet-mean-prototype","blog\u002Fblog\u002F2026\u002F2026-04-25-the-frechet-mean-prototype.md",{"title":15,"summary":16,"image":7,"onday":17,"tags":18,"path":19,"id":20},"Dimension Curse on Zero and Positive Curvature Space","The curse of dimensionality is not a specific geometric structure, but a collection of phenomena induced by the intrinsic properties of high-dimensional spaces.","2026-04-10",[10,11],"\u002Fblog\u002F2026\u002F2026-04-10-dimension-curse-on-zero-and-positive-curvature-space","blog\u002Fblog\u002F2026\u002F2026-04-10-dimension-curse-on-zero-and-positive-curvature-space.md",{"title":22,"summary":23,"image":7,"onday":24,"tags":25,"path":26,"id":27},"Introduction of vMF Distribution on Hypersphere","The von Mises–Fisher distribution (vMF) distribution is often regarded as the hyperspherical analogue of the Normal distribution, as it models data concentrated around a mean direction on the unit hypersphere.","2026-04-09",[11,10],"\u002Fblog\u002F2026\u002F2026-04-09-introduction-of-v-mf-distribution-on-hypersphere","blog\u002Fblog\u002F2026\u002F2026-04-09-introduction-of-v-mf-distribution-on-hypersphere.md",{"title":29,"summary":30,"image":31,"onday":32,"tags":33,"path":34,"id":35},"The Stirling Formula","Stirling's formula finds a relationship of n!,nⁿ,eⁿ while n trends to infinity.",null,"2025-09-18",[10],"\u002Fblog\u002F2025\u002F2025-09-18-the-stirling-formula","blog\u002Fblog\u002F2025\u002F2025-09-18-the-stirling-formula.md",{"title":37,"summary":38,"image":31,"onday":39,"tags":40,"path":42,"id":43},"The Lamentable Programmers","Many software engineer and programmers always plumb into a dilemma: they are complacent about technology details they comprehend. And little did they know there are almost nothing have to do with code in life.","2025-08-17",[41],"thoughts","\u002Fblog\u002F2025\u002F2025-08-17-the-lamentable-programmers","blog\u002Fblog\u002F2025\u002F2025-08-17-the-lamentable-programmers.md",{"title":45,"summary":46,"image":47,"onday":48,"tags":49,"path":50,"id":51},"考上了，但似乎也没有那么开心","2025 年研招已经落幕，考上了，但似乎也并没有那么开心。日后，救赎之道仍待探索，毕竟，人生是旷野嘛。","https:\u002F\u002Fimage-assets.dreams.plus\u002F20250507130209622.png","2025-05-07",[41],"\u002Fblog\u002F2025\u002F2025-05-07","blog\u002Fblog\u002F2025\u002F2025-05-07-考上了，但似乎也没有那么开心.md",{"title":53,"summary":54,"image":31,"onday":55,"tags":56,"path":57,"id":58},"Should Students of Computer Science Learn College Physics","China's computer science education is outdated, often including irrelevant subjects like physics, due to historical and systemic inertia.","2025-01-11",[41],"\u002Fblog\u002F2025\u002F2025-01-11-should-computer-science-majors-learn-college-physics","blog\u002Fblog\u002F2025\u002F2025-01-11-should-computer-science-majors-learn-college-physics.md",{"title":60,"summary":61,"image":31,"onday":62,"tags":63,"path":66,"id":67},"Socrates: The Story of Searching for the Largest Ear of Wheat","This article proposes the classic 37% rule in game theory and its mathematical derivation process.","2024-09-21",[64,65],"investment","game-theory","\u002Fblog\u002F2024\u002F2024-09-21-the-37-rules-in-making-choice","blog\u002Fblog\u002F2024\u002F2024-09-21-the-37-rules-in-making-choice.md",{"title":69,"summary":70,"image":31,"onday":71,"tags":72,"path":73,"id":74},"Box-Muller Transformation","The Box-Muller transformation is a method to construct a random variable that follows a Gaussian distribution by using a random variable that follows a uniform distribution.","2024-09-12",[10],"\u002Fblog\u002F2024\u002F2024-09-12-box-muller-transformation","blog\u002Fblog\u002F2024\u002F2024-09-12-box-muller-transformation.md",{"title":76,"summary":77,"image":31,"onday":78,"tags":79,"path":81,"id":82},"Linear Congruential for Pseudorandom Number","Linear congruential method is a pseudo-random number generation method that generates a random number sequence based on a deterministic mathematical algorithm.","2024-09-11",[10,80],"cryptography","\u002Fblog\u002F2024\u002F2024-09-11-linear-congruential-for-psedurandom-number","blog\u002Fblog\u002F2024\u002F2024-09-11-linear-congruential-for-psedurandom-number.md",{"title":84,"summary":85,"image":31,"onday":86,"tags":87,"path":88,"id":89},"The Laplace Theorem for Determinant","Laplace's theorem in determinants and its applications","2024-08-27",[10],"\u002Fblog\u002F2024\u002F2024-08-27-the-laplace-theorem-for-determinant","blog\u002Fblog\u002F2024\u002F2024-08-27-the-laplace-theorem-for-determinant.md",{"title":91,"summary":92,"image":31,"onday":93,"tags":94,"path":95,"id":96},"The Introduction to Bernoulli Number","Introduction, derivation and proof of Bernoulli numbers","2024-04-23",[10],"\u002Fblog\u002F2024\u002F2024-04-23-introduction-to-bernoulli-number","blog\u002Fblog\u002F2024\u002F2024-04-23-introduction-to-bernoulli-number.md",{"title":98,"summary":99,"image":31,"onday":100,"tags":101,"path":102,"id":103},"Taylor Formula, Taylor Theorem, Taylor Series, Taylor Expansion","This article mainly introduces the content and connection between the four concepts of Taylor's formula, Taylor's theorem, Taylor series and Taylor's expansion.","2024-03-06",[10],"\u002Fblog\u002F2024\u002F2024-03-06-taylor-formula-taylor-theorem-taylor-series-taylor-expansion","blog\u002Fblog\u002F2024\u002F2024-03-06-taylor-formula-taylor-theorem-taylor-series-taylor-expansion.md",{"title":105,"summary":106,"image":31,"onday":107,"tags":108,"path":109,"id":110},"Proof of Faulhaber's Formula","Faulhaber's Formula, which provides a method to compute the sum of the p-th powers of the first n positive integers.","2024-03-05",[10],"\u002Fblog\u002F2024\u002F2024-03-05-proof-of-faulhabers-formula","blog\u002Fblog\u002F2024\u002F2024-03-05-proof-of-faulhabers-formula.md",{"title":112,"summary":113,"image":31,"onday":114,"tags":115,"path":118,"id":119},"The Master Theorem For Time Complexity","In this article, we will model the time complexity of divide and conquer using mathematical methods, analyze its asymptotic properties, and provide three methods of calculation.","2023-12-18",[116,10,117],"algorithm","computation","\u002Fblog\u002F2023\u002F2023-12-18-the-master-theroy-for-time-complexity","blog\u002Fblog\u002F2023\u002F2023-12-18-The-Master-Theroy-For-Time-Complexity.md",{"title":121,"summary":122,"image":31,"onday":123,"tags":124,"path":125,"id":126},"The Bash Game","A pile of stones, two people take turns to take at least 1 stone and at most 2 stones. Whoever gets the last stone loses.","2023-12-14",[116,65],"\u002Fblog\u002F2023\u002F2023-12-14-the-bash-game","blog\u002Fblog\u002F2023\u002F2023-12-14-the-bash-game.md",{"title":128,"summary":129,"image":31,"onday":130,"tags":131,"path":132,"id":133},"Fast Inverse Square Root","The article introduces an algorithm called Fast Inverse Square Root, which is used to quickly calculate the inverse square root of a floating point number.","2023-12-08",[10,116],"\u002Fblog\u002F2023\u002F2023-12-08-fast-inverse-square-root","blog\u002Fblog\u002F2023\u002F2023-12-08-Fast-Inverse-Square-Root.md",{"title":135,"summary":136,"image":31,"onday":137,"tags":138,"path":139,"id":140},"How Do Computer Calculate the Log-Function","Analyzing the underlying implementation of the log function in computers from a numerical analysis perspective","2023-12-07",[116,10],"\u002Fblog\u002F2023\u002F2023-12-07-how-do-computer-calculate-the-log-function","blog\u002Fblog\u002F2023\u002F2023-12-07-How-do-computer-calculate-the-log-function.md",{"title":142,"summary":143,"image":31,"onday":144,"tags":145,"path":146,"id":147},"Conduct the Fibonacci General Formula with Differential Equation Method and Matrix Method","This article gives two methods to derive Fibonacci sequence: matrix method and difference equation method","2023-11-20",[10],"\u002Fblog\u002F2023\u002F2023-11-20-conduct-the-fibonacci","blog\u002Fblog\u002F2023\u002F2023-11-20-conduct-the-fibonacci.md",{"title":149,"summary":150,"image":31,"onday":151,"tags":152,"path":155,"id":156},"C\u002FC++ Cross-Platform Compile-Macros","When we compile some cross -platform programs, we will inevitably encounter _win32 __linux__ what is the macro of the compiler or the compiler environment.It indicates some information of the current platform environment to the compiler.","2023-11-05",[153,154],"C","C++","\u002Fblog\u002F2023\u002F2023-11-05-platform-macros","blog\u002Fblog\u002F2023\u002F2023-11-05-platform-macros.md",{"title":158,"summary":159,"image":31,"onday":160,"tags":161,"path":162,"id":163},"Should I Do Open Source Selflessly?","Remember that when doing open source, the important thing is for yourself, not for others, so don't wrong yourself.","2023-02-27",[41],"\u002Fblog\u002F2022\u002F2022-02-27-how-to-do-open-source-for-a-long-time","blog\u002Fblog\u002F2022\u002F2022-02-27-how-to-do-open-source-for-a-long-time.md",{"title":165,"summary":166,"image":31,"onday":167,"tags":168,"path":170,"id":171},"送東陽馬生序","余朝京師，生以鄉人子謁余，譔長書以為贄，辭甚暢達；與之論辯，言和而色夷。自謂少時用心於學甚勞，是可謂善學者矣。其將歸見其親也，余故道為學之難以告之。謂余勉鄉人以學者，余之志也；詆我夸際遇之盛而驕鄉人者，豈知予者哉。","2022-12-07",[169],"LHPA","\u002Fblog\u002F2022\u002F2022-12-07-a-farewell-to-ma-junze-of-dongyang","blog\u002Fblog\u002F2022\u002F2022-12-07-A-Farewell-to-Ma-Junze-of-Dongyang.md",{"title":173,"summary":174,"image":31,"onday":175,"tags":176,"path":178,"id":179},"Operating System Notes: Two Methods of Multiprocessor Scheduling","An introduction to two methods of multiprocessor scheduling is given: symmetric multiprocessing and asymmetric multiprocessing.","2022-12-05",[177],"OS","\u002Fblog\u002F2022\u002F2022-12-05-multi-cpu-process-scheduling","blog\u002Fblog\u002F2022\u002F2022-12-05-multi-cpu-process-scheduling.md",{"title":181,"summary":182,"image":31,"onday":183,"tags":184,"path":185,"id":186},"顏真卿傳 - 新唐書","顏真卿，字清臣，秘書監師古五世從孫。少孤，母殷躬加訓導。既長，博學工辭章，事親孝。","2022-09-16",[169],"\u002Fblog\u002F2022\u002F2022-09-14-yanzhenqing-bibiography","blog\u002Fblog\u002F2022\u002F2022-09-14-yanzhenqing-bibiography.md",{"title":188,"summary":189,"image":31,"onday":183,"tags":190,"path":191,"id":192},"蘭亭集序","永和九年，歲在癸丑，暮春之初，會於會稽山陰之蘭亭，修禊事也。群賢畢至，少長咸集。此地有崇山峻嶺，茂林修竹；又有清流激湍，映帶左右，引以為流觴曲水，列坐其次。雖無絲竹管弦之盛，一觴一詠，亦足以暢敘幽情。",[169],"\u002Fblog\u002F2022\u002F2022-09-15-lanting-prelude","blog\u002Fblog\u002F2022\u002F2022-09-15-lanting-prelude.md",{"title":194,"summary":195,"image":31,"onday":183,"tags":196,"path":197,"id":198},"沈煉 楊繼盛傳 - 明史","煉爲人剛直，嫉惡如仇，然頗疎狂。毎飲酒輒箕踞笑傲，旁若無人。錦衣帥陸炳善遇之。炳與嚴嵩父子交至深，以故煉亦數從世蕃飲。世蕃以酒虐客，煉心不平，輒爲反之，世蕃憚不敢較。",[169],"\u002Fblog\u002F2022\u002F2022-09-16-biology-of-shen-lian-and-yang-jisheng","blog\u002Fblog\u002F2022\u002F2022-09-16-biology-of-shen-lian-and-yang-jisheng.md",{"title":200,"summary":201,"image":31,"onday":202,"tags":203,"path":205,"id":206},"Closure in JavaScript","Give the definition of closure in JavaScript and understand it by examples.","2022-04-18",[204],"frontend","\u002Fblog\u002F2022\u002F2022-04-18-closure-in-javascript","blog\u002Fblog\u002F2022\u002F2022-04-18-Closure-in-javascript.md",{"title":208,"summary":209,"image":31,"onday":210,"tags":211,"path":212,"id":213},"Resource Lock in Concurrency","Analysis and usage scenarios of spin lock, optimistic lock, pessimistic lock, read-write lock, mutex lock and other concepts.","2022-04-15",[177],"\u002Fblog\u002F2022\u002F2022-04-15-resource-lock-in-concurrency","blog\u002Fblog\u002F2022\u002F2022-04-15-Resource-Lock-in-Concurrency.md",1777090294516]