Abelian Groups; Cubic Equations; Examples; Free Abelian; Geometric Constructions; Group Theory; Integral Triangles; Law of Cosines; Primitive; Pythagorean Angles; Pythagorean Triangles; Pythagorean Triples; Rational Squares - Articles

Torsion in Groups of Integral Triangles (Articles)

Will Murray

Advances in Pure Mathematics Vol.3 No.1，January 29, 2013

DOI: 10.4236/apm.2013.31015 3,392 Downloads 5,535 Views Citations
Three- and Four-Dimensional Generalized Pythagorean Numbers (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.14 No.1，January 4, 2024

DOI: 10.4236/apm.2024.141001 186 Downloads 672 Views Citations
The Tarski Problems and Their Solutions (Articles)

Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, Dennis Spellman

Advances in Pure Mathematics Vol.5 No.4，March 31, 2015

DOI: 10.4236/apm.2015.54023 3,205 Downloads 4,830 Views Citations
This article belongs to the Special Issue on Group Theory
An Elementary Proof of the Mean Inequalities (Articles)

Ilhan M. Izmirli

Advances in Pure Mathematics Vol.3 No.3，May 13, 2013

DOI: 10.4236/apm.2013.33047 6,148 Downloads 9,820 Views Citations
Geometric Characteristics and Constructions of Cubic Indirect-PH Curves (Articles)

Yang Shen, Xingxuan Peng

Open Access Library Journal Vol.9 No.11，November 2, 2022

DOI: 10.4236/oalib.1109439 64 Downloads 439 Views Citations
Music as Mathematics of Senses (Articles)

Hailong Li, Kalyan Chakraborty, Shigeru Kanemitsu

Advances in Pure Mathematics Vol.8 No.12，December 21, 2018

DOI: 10.4236/apm.2018.812052 1,257 Downloads 3,463 Views Citations
A New Look at Generalized Means (Articles)

Sarah M. Tooth, John A. Dobelman

Applied Mathematics Vol.7 No.6，March 24, 2016

DOI: 10.4236/am.2016.76042 2,767 Downloads 4,179 Views Citations
This article belongs to the Special Issue on Computer-Aided Geometric Design
Monotileable Amenable Groups: An Application (Articles)

Amal Mohammed Ahmed Gaweash, Hayat Yousuf Ismail Bakur, Mariam Almahdi Mohammed Mulla

Open Access Library Journal Vol.8 No.1，January 29, 2021

DOI: 10.4236/oalib.1107012 270 Downloads 914 Views Citations
Hajós-Property for Direct Product of Groups (Articles)

Khalid Amin

Advances in Linear Algebra & Matrix Theory Vol.5 No.4，November 19, 2015

DOI: 10.4236/alamt.2015.54013 5,531 Downloads 6,361 Views Citations
An Application of Cyclotomic Polynomial to Factorization of Abelian Groups (Articles)

Khalid Amin

Open Journal of Discrete Mathematics Vol.1 No.3，October 17, 2011

DOI: 10.4236/ojdm.2011.13017 4,958 Downloads 9,273 Views Citations
Non-Full Rank Factorization of Finite Abelian Groups (Articles)

Khalid Amin

Open Journal of Discrete Mathematics Vol.7 No.2，April 17, 2017

DOI: 10.4236/ojdm.2017.72005 1,186 Downloads 2,088 Views Citations
Global Optimization Method to Comprise Rotation-Minimizing Euler-Rodrigues Frames of Pythagorean-Hodograph Curve (Articles)

Fengfu Peng, Jinrong Pang, Yuting Pan

Journal of Applied Mathematics and Physics Vol.11 No.5，May 10, 2023

DOI: 10.4236/jamp.2023.115081 127 Downloads 494 Views Citations
The Coxeter Trisection and the Hadwiger Conjecture in Multidimensional Spaces (Articles)

István Lénárt

Journal of Applied Mathematics and Physics Vol.12 No.12，December 31, 2024

DOI: 10.4236/jamp.2024.1212264 41 Downloads 260 Views Citations
A Novel Stochastic Algorithm Using Pythagorean Means for Minimization (Articles)

Mona Subramaniam, Manju Senthil, Madhav Nigam

Intelligent Control and Automation Vol.1 No.2，November 26, 2010

DOI: 10.4236/ica.2010.12009 5,358 Downloads 7,864 Views Citations
Usage of Pythagorean Triple Sequence in OSPF (Articles)

Simon Tembo, Ken-ichi Yukimatsu, Shohei Kamamura, Takashi Miyamura, Kohei Shiomoto, Atsushi Hiramatsu

Communications and Network Vol.4 No.1，February 27, 2012

DOI: 10.4236/cn.2012.41010 4,843 Downloads 8,240 Views Citations
Primality Testing Using Complex Integers and Pythagorean Triplets (Articles)

Boris Verkhovsky

Int'l J. of Communications, Network and System Sciences Vol.5 No.9，September 18, 2012

DOI: 10.4236/ijcns.2012.59062 4,547 Downloads 6,788 Views Citations
On the Generalization of Hilbert’s 17th Problem and Pythagorean Fields (Articles)

Yuji Shimizuike

Advances in Pure Mathematics Vol.3 No.7A，October 24, 2013

DOI: 10.4236/apm.2013.37A001 3,319 Downloads 6,331 Views Citations
This article belongs to the Special Issue on Number Theory and Crytography
Archimedes’ Psammites and the Tradition of Italic Thought of Science (Articles)

Giuseppe Boscarino

Advances in Historical Studies Vol.4 No.1，March 30, 2015

DOI: 10.4236/ahs.2015.41002 4,553 Downloads 5,671 Views Citations
Pythagorean Self-Awareness Serves Successfully as a New Cognitive Behavioral-Based Technique in Multiple Sclerosis Physical and Psychosocial Well-Being and Quality of Life (Articles)

Christina Darviri, Chrysa Zavitsanou, Aikaterini Delikou, Aikaterini Giotaki, Artemios Artemiadis, Maria Anagnostouli, Liza Varvogli, Spyros Vasdekis, George P. Chrousos

Psychology Vol.7 No.4，April 22, 2016

DOI: 10.4236/psych.2016.74059 2,348 Downloads 4,480 Views Citations
The Generalized Pythagorean Comma Harmonic Powers of a Fundamental Frequency Are Equivalent the Standing Wave Harmonic Fraction System (Articles)

Donald Chakeres

Advances in Pure Mathematics Vol.8 No.7，July 19, 2018

DOI: 10.4236/apm.2018.87038 844 Downloads 2,021 Views Citations

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