PYTHAGORAS

作品数：28被引量：11H指数：2
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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 
A New Proof for Congruent Number’s Problem via Pythagorician Divisors
《Advances in Pure Mathematics》2024年第4期283-302,共20页Léopold Dèkpassi Keuméan François Emmanuel Tanoé 
Considering Pythagorician divisors theory which leads to a new parameterization, for Pythagorician triplets ( a,b,c )∈ ℕ 3∗ , we give a new proof of the well-known problem of these particular squareless numbers n∈ ℕ...
关键词：Prime Numbers-Diophantine Equations of Degree 2 & 4 Factorization Greater Common Divisor Pythagoras Equation Pythagorician Triplets Congruent Numbers Inductive Demonstration Method Infinite Descent BSD Conjecture 
Fermat and Pythagoras Divisors for a New Explicit Proof of Fermat&#8217;s Theorem:a<sup>4</sup> + b<sup>4</sup> = c<sup>4</sup>. Part I
《Advances in Pure Mathematics》2024年第4期303-319,共17页Prosper Kouadio Kimou François Emmanuel Tanoé Kouassi Vincent Kouakou 
In this paper we prove in a new way, the well known result, that Fermat’s equation a4 + b4 = c4, is not solvable in ℕ , when abc≠0 . To show this result, it suffices to prove that: (...
关键词：Factorisation in ℤ Greatest Common Divisor Pythagoras Equation Pythagorician Triplets Fermat's Equations Pythagorician Divisors Fermat's Divisors Diophantine Equations of Degree 2 4-Integral Closure of ℤ in ℚ 
Pythagorician Divisors and Applications to Some Diophantine Equations
《Advances in Pure Mathematics》2023年第2期35-70,共36页François Emmanuel Tanoé Prosper Kouadio Kimou 
We consider the Pythagoras equation X2 +Y2 = Z2, and for any solution of the type (a,b = 2sb1 ≠0,c) ∈ N*3, s ≥ 2, b1odd, (a,b,c) ≡ (±1,...
关键词：Pythagoras Equation Pythagorician Triplets Diophantine Equations of Degree 2 Factorisation-Gcd-Fermat’s Equations 
The Right Triangle as the Simplex in 2D Euclidean Space, Generalized to n Dimensions
《Journal of Applied Mathematics and Physics》2022年第9期2837-2850,共14页István Lénárt 
The purpose of the research is to show that the general triangle can be replaced by the right-angled triangle as the 2D simplex, and this concept can be generalized to any higher dimensions. The main results are that ...
关键词：Cycles of Incidence Quadrirectangular Tetrahedron Rectangular Pentachoron Generalization of Pythagoras Theorem Volume of a Rectangular Simplex Cayley-Menger Determinant 
From Pythagoras Theorem to Fermat’s Last Theorem and the Relationship between the Equation of Degree &lt;i&gt;n&lt;/i&gt;with One Unknown
《Advances in Pure Mathematics》2020年第3期125-154,共30页Yufeng Xia 
The most interesting and famous problem that puzzled the mathematicians all around the world is much likely to be the Fermat’s Last Theorem. However, since the Theorem was proposed, people can’t find a way to solve ...
关键词：PYTHAGORAS THEOREM Fermat’s LAST THEOREM Geometric Method EQUATION of DEGREE n with One UNKNOWN 
在Pythagoras三角形中三等分角
《数学译林》2018年第4期379-383,328,共6页Wen D.Chang Russell A.Gordon 陆柱家(译) 李福安(校) 
假设a^2+b^2=c^2,这里a,b和c是互素的正整数,并考虑以口,b和c为边的直角三角形T.我们证明,用圆规和无刻度直尺可以三等分T的两个锐角当且仅当c是一个完全立方数.
关键词：直角三角形 三等分角 正整数 立方数 互素 锐角 直尺 
Music as Mathematics of Senses
《Advances in Pure Mathematics》2018年第12期845-862,共18页Hailong Li Kalyan Chakraborty Shigeru Kanemitsu 
It is often said that music has reached its supreme and highest level in the 18th and 19th centuries. One of the main reasons for this achievement seems to be the robust structure of compositions of music, somewhat re...
关键词：Pythagorean Scale Just INTONATION TEMPERAMENT Beat Pythagoras’ LAW of Small NUMBERS LAW of Cyclotomic NUMBERS 
Mathematical Structure for Electromagnetic Frequencies that May Reflect Pilot Waves of Bohm’s Implicate Order被引量：3
《Journal of Modern Physics》2018年第5期851-897,共47页Hans J.H.Geesink Dirk K.F.Meijer 
The mathematical basis for the earlier reported spectrum of discrete electromagnetic field (EMF) frequencies that were shown to affect health and disease is substantiated and generalized in the present paper. The part...
关键词：Life Algorithm Quantum Mechanics BOHM Frohlich Philolaus PYTHAGORAS 
A Semi-Harmonic Frequency Pattern Organizes Local and Non-Local States by Quantum Entanglement in both EPR-Studies and Life Systems被引量：1
《Journal of Modern Physics》2018年第5期898-924,共27页Hans J.H.Geesink Dirk K.F.Meijer 
A novel biophysical principle: the GM-model was revealed, describing an algorithm for coherent and non-coherent electromagnetic (EM) frequencies that either sustain or deteriorate life conditions. The particular frequ...
关键词：Life Algorithm Coherent Wave Pattern Number-Scales Harmonics Solitons Quantum Mechanics Einstein-Podolsky-Rosen BOHM Schr?dinger Fr?hlich PYTHAGORAS 
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