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CONJECTURE: 作品数：486被引量：295H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：韩国平刘建熙邱青刘瑞元李逸更多>>; 相关机构：华南师范大学大连理工大学浙江大学山东大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划北京市自然科学基金国家教育部博士点基金更多>>

The Coxeter Trisection and the Hadwiger Conjecture in Multidimensional Spaces: 《Journal of Applied Mathematics and Physics》2024年第12期4301-4321,共21页István Lénárt; In this article, I consider the right triangle as the simplex in the Euclidean plane, and extend this definition to higher dimensions. The n-dimensional simplex has one hypotenuse and (n−1)legs (catheti). The (n−1)leg...; 关键词：Generalized Pythagoras Theorem Description of a Pythagorean Simplex Pythagorean Unit Simplex Coxeter Partition of a Simplex in -Dimensional Space Relation to the Hadwiger Conjecture

Natural Numbers and the Strong Goldbach Conjecture: 《Journal of Applied Mathematics and Physics》2024年第9期3208-3236,共29页Ramon Carbó-Dorca; This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the incl...; 关键词：Natural Numbers Prime Numbers Vector Description of Natural Numbers Prime Boolean Vectors Primality of the Natural Unit Strong Goldbach’s Conjecture Vector Reversal Pairing Conjecture Natural Matrix Squeezing

On Prime Numbers between kn and (k + 1) n: 《Journal of Applied Mathematics and Physics》2023年第11期3712-3734,共23页Wing K. Yu; In this paper along with the previous studies on analyzing the binomial coefficients, we will complete the proof of a theorem. The theorem states that for two positive integers n and k, when n ≥ k - 1, there always e...; 关键词：Bertrand’s Postulate-Chebyshev’s Theorem The Prime Number Theorem Landau Problems Legendre’s Conjecture Prime Number Distribution

Collatz Iterative Trajectories of All Odd Numbers Attain Bounded Values: 《Journal of Applied Mathematics and Physics》2023年第10期3030-3041,共12页Jinqing Zhang Xintong Zhang; The aim of this paper is to study the 3x + 1 problem based on the Collatz iterative formula. It can be seen from the iterative formula that the necessary condition for the Collatz iteration convergence is that its slo...; 关键词：Number Theory 3x + 1 Problem Collatz Conjecture Syracuse Problem Statistical Analysis

A Comparative Analysis of the New -3(-n) - 1 Remer Conjecture and a Proof of the 3n + 1 Collatz Conjecture: 《Journal of Applied Mathematics and Physics》2023年第8期2216-2220,共5页Mike Remer; This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An...; 关键词：-3(-n) - 1 Remer Conjecture 3n + 1 Collatz Conjecture Comparative Analysis PROOF Natural Numbers Integer Sequences Factorial Processes Par-tial Differential Equations Bounded Values Collatz Conjecture Collatz Algo-rithm Collatz Operator Collatz Compliance And Mathematical Conjectures

The Proofs of Legendre’s Conjecture and Three Related Conjectures: 《Journal of Applied Mathematics and Physics》2023年第5期1319-1336,共18页Wing K. Yu; In this paper, we prove Legendre’s conjecture: There is a prime number between n² and (n +1)² for every positive integer n. We also prove three related conjectures. The method that we use is to ...; 关键词：Legendre’s Conjecture Bertrand’s Postulate - Chebyshev’s Theorem Oppermann’s Conjecture Brocard’s Conjecture Andrica’s Conjecture

A Map Coloring Method: 《Journal of Applied Mathematics and Physics》2023年第4期1200-1208,共9页Shijun Han; Different vertices are colored in a plan. Adjacent vertices are colored dif-ferently from nonadjacent vertices, which are colored the same color. One color is used for a single point, two colors are used for points wi...; 关键词：MAP Four Colors Four Colors Conjecture Graph Theory

Collatz Conjecture Redefinition on Prime Numbers: 《Journal of Applied Mathematics and Physics》2023年第1期147-157,共11页Ramon Carbó-Dorca; The definition of Collatz Operator, the mathematical avatar of the Collatz Algorithm, permits the transformation of the Collatz conjecture, which is delineated over the whole natural number set, into an equivalent inf...; 关键词：Natural Numbers Prime Numbers Pseudospaces Collatz Conjecture Collatz Algorithm Collatz Operator Collatz Compliance Syracuse Algorithm

On the Change Rule of 3x + 1 Problem: 《Journal of Applied Mathematics and Physics》2022年第3期850-864,共15页Ke Li; This article introduces a change rule of 3x + 1 problem (Collatz conjecture), it’s named LiKe’s Rule. It’s a map of 3x + 1 problem, and details the path of each step of the change: For any positive integer, change ...; 关键词：3x +1 Problem Collatz-Problem Collatz Conjecture LiKe’s Rule Number Theory

4-Staining of “Staining Dilemma Configuration” in Four-Color Conjecture: 《Journal of Applied Mathematics and Physics》2022年第3期915-929,共15页Yudian Zhang Lichong Zhang; This article attempts to successfully fill Kempe proof loophole, namely 4-staining of “staining dilemma configuration”. Our method is as follows: 1) Discovered and proved the existence theorem of the quadrilateral w...; 关键词：Four-Color Conjecture Kempe Proof Staining Dilemma Configuration Four-Color Vertex Quadrilateral Non-10 Fold Symmetric Transformation

CONJECTURE