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原子操纵 数核取用——悼念杨叔子大先生

Atomic Manipulation, Digital Core Access —in Memory of Mr. Yang Shuzi

  • Authors:
    钱进(兴顺) / Theoretical Mathematics Study / 2023,5(1): 1-83 / 2024-01-15
  • Keywords: Atomic manipulation; Yang Hui table; Hidden chain number core table; ΑαΕε number sum Chart; Squareholes; Partial even lines原子操纵; 杨辉表; 隐链数核表; 甲数戊数和图; 孔方; 偏偶数线
  • Abstract: This article conforms to people’s hearts. During the majorinternational activities, Academician Yang Shuzi, who died on November 4,and proposed advanced manufacturing processes from the historical process ofthe development of the entire scientific and technological system, emphasizingthat he is a strategy as a strategy Scientists and educators. Looking back on theformation process related to him, the author’s “first calculate and then check”,and use the algorithm design for the “dual -e -terms coefficient table”, “uniformdesign table”, ..., to the “prime table” and “factor table” query and application.It is pointed out that Wang Yingxu solves the two major world mathematicsproblems, and can apply “number core” to search for the generation of “mirrorpixels” and simplify the solution of the problem. In 1938, Hua Luog gengproved that “Gothic Bachs conjecture” is true for almost all the even -numbers,and after that, all the research was ‘exceptional’. This article proposes that theexceptional value has not been ruled out so far. If the solution is classified, theexceptional value exist may be determined.本文顺应人心,在有国际重大活动期间,特地悼念2022年11月4日仙逝的杨叔子院士,并从他以整个科学技术体系发展的历史进程、高屋建瓴地提出先进制造工艺,强调他是一个战略科学家、教育家。回顾笔者“先算后查”思想与他相关的形成过程,把算法设计用于“二项式系数表”“均匀设计表”……到“素数表”“因子表”查询、运用。指出王迎旭解决两大世界数学难题,可以应用“数核”检索替代“镜像素数”生成,简化问题的解决。1938年,华罗庚证明了哥德巴赫猜想几乎对所有偶数成立,此后研究的都是“例外值”。本文提出例外值迄今仍未排除。如果把解分类,可能破解例外值存在。

数目从此着色了 ——关于基础数学教学的思考

The Numbers are now Colored — Thinking About the Teaching of Basic Mathematics

  • Authors:
    钱进 / Theoretical Mathematics Study / 2022,4(3): 103-126 / 2022-10-28
  • Keywords: “End of era”; Goldbach’s conjecture; Six-type number plane; Number coloring; Kernel containing two halves; Infinite no leaks“时代终结”; 哥德巴赫猜想; 六类数平面; 数目着色; 核含两半; 无穷无漏
  • Abstract: This article publishes two papers by Chinese Canadian Wang Yingxu proving the “Goldbach conjecture” and “twin prime number” conjectures, the end of an era. The basic fact that “numbers are divided into six categories, and the core contains two halves” simplifies traditional number theory problems, and also has a simplification effect on the above two articles. Continue to prove that “thousands” are “same but not harmonious”, and the subtle differences plus the “infinite and leak-free” characteristics make prime numbers so special. Use color to represent 6 different numbers, printing or display are simple and convenient, will be needed at any time, and the numbers have been colored from then on. So I thought: Immediately use these proofs to supplement the achievements accumulated by “folk mathematicians”, condense, refine, and activate them to replace the current teaching of basic mathematics, innovate, save resources, and save time.本文公布加拿大华人王迎旭的两篇论文证明了“哥德巴赫”和“孪生素数”猜想,一个时代终结。“数分六类,核含两半”的基本事实,令传统的数论问题简化,对上两文亦有精简作用;继续证实“万数”“同而不和”,细微差异加上“无穷无漏”的特性,使得素数如此特别。用彩色表示6 类不同的数字,印刷或显示都简洁便利,将随时需要,从此数目着色了。于是思考:立即把这些证明,补充“民间数学家”积累的成果,加以凝聚、提炼、活化,更换现今基础数学的教学,推陈出新,节约资源,节省时间。

无限星空,夺最亮眼——SJTU-125 全球“科学”问第一题之三思

The Stars Twinkle, Win the Most Dazzling —Three Thoughts on the First Question of SJTU-125 Global “Science”

  • Authors:
    钱进 / Theoretical Mathematics Study / 2022,4(2): 52-78 / 2022-07-15
  • Keywords: “Parity-to-even” problem; Δδ number; Εε number; Infinite matrix; Constellation pattern; Astronomical map; Infinite no leakage“奇偶归一”问题; Δδ 数; Εε 数; 无穷矩阵; 星座模式; 天象图; 无穷无漏
  • Abstract: This article announces that two papers have proved that the “parity returns to one” conjecture is true, and condenses the content of the proof published later to compare with the first published one to prove that its basic context is correct. Since the problem arises in the handling of “infinity”, the author’s thinking is expounded in combination with Yang Zhe and Romo’s papers proving Goldbach’s conjecture. Under the basic fact that “numbers are divided into six categories, and the core contains two halves”, the traditional number theory problem is simplified. In the astrology diagram to assist understanding and proof, the total entrance 16 is the most dazzling star. Once again, it is confirmed that “ten thousand numbers” are “same but not harmonious”, and the subtle differences plus the “infinite and leak-free” characteristics make prime numbers so special.本文宣布有两篇论文已经证明“奇偶归一”猜想成真,并把稍后发表这篇的证明内容凝聚,来对照先前发表的一篇旁证其基本脉络正确。因问题出现在对“无穷”的处理上,结合杨哲和罗莫证明哥德巴赫猜想的论文,阐述笔者的思考。在“数分六类,核含两半”的基本事实下,传统的数论问题简化了,辅助理解证明的 星象图中,总入口16 是最亮眼的一颗星。再一次证实“万数”“同而不和”,细微差异加上“无穷无漏”的特性,使得素数如此特别。

难题破解,群星闪烁 ——SJTU-125 全球“科学”问第一题再思考

Solving Difficult Problems and Twinkling Stars —Rethinking of Global “Science” Asks № 1 in Question SJTU-125

  • Authors:
    钱进 / Theoretical Mathematics Study / 2022,4(1): 1-17 / 2022-03-31
  • Keywords: Number kernel; Parity normalization operation Γαβ; “parity normalization” problem; Δδ number; Εε number; Constellation pattern; Astronomical map数核; 奇偶归一运算Γαβ; “奇偶归一”问题; Δδ 数; Εε 数; 星座模式; 天象图
  • Abstract: This paper now uses the “number core” structure that was found in the “prime number divided into two halves”, will make traditional number theory problems, for example, the “3n+1 conjecture” question to become simple. To pays attention to the changes in the “number of rows” corresponding to all kinds of positive integers, especially the E number, in the “parity normalization” operation, and successfully finds out the “unification” path, Different stars and colors are used to mark numbers, revealing the beauty of mathematics, and once again confirming “the source of thousands of numbers, testing thousands of numbers”, “same but not harmonious”, subtle differences make prime numbers so special.本文用曾发现的“素数分两半”筛选出的“数核”结构,简化了传统的数论问题。留心“奇偶归一”运算中,各类正整数、特别是Ε 数对应“行数”的变化,成功找出“归一”的路径。用不同星形、色彩标注数类,揭示数学之美,再一次证实“万数之源、检验万数”“同而不和”,细微差异使得素数如此特别。

素数分两半 ——SJTU-125 全球“科学”问第一题的思考

Prime Numbers are Divided Into Two Parts —Thoughts on the First Question of SJTU-125 Global “Science” Question

  • Authors:
    钱进 / Theoretical Mathematics Study / 2021,3(4): 55-70 / 2021-12-30
  • Keywords: Prime number; Number of hostel; Numerucleus素数; 宿集数; 数核; 甲素数; 戊素数
  • Abstract: This article independently discovered the objective existence of “Prime number set is divided into two halves”, and used famous mathematicians mathematics conclusions worthy of discussion, it is impossible to neglect. Whether the miniatur differences from half in the nucleus of number, make the prime so special ?本文独立发现了“素数分两半”客观存在,并用数学名家数学结论尚值得商榷的案例,印证不容忽视。是否数核内细节的微小差异,使得素数如此特别?
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