Hilbert’s 16th Problem - Articles - Scientific Research Publishing

Structural Stability in 4-Dimensional Canards (Articles)

Shuya Kanagawa, Kiyoyuki Tchizawa

Advances in Pure Mathematics Vol.12 No.11，November 4, 2022

DOI: 10.4236/apm.2022.1211046 193 Downloads 1,046 Views Citations
This article belongs to the Special Issue on Approximation Theory and Applications
Canards Flying on Bifurcation (Articles)

Shuya Kanagawa, Kiyoyuki Tchizawa

Advances in Pure Mathematics Vol.13 No.6，June 29, 2023

DOI: 10.4236/apm.2023.136026 194 Downloads 1,082 Views Citations
Cosmic Continuum Theory: A New Idea on Hilbert’s Sixth Problem (Articles)

Xijia Wang

Journal of Modern Physics Vol.9 No.6，May 24, 2018

DOI: 10.4236/jmp.2018.96074 1,237 Downloads 6,183 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 3,369 Downloads 6,503 Views Citations
This article belongs to the Special Issue on Number Theory and Crytography
Hilbert’s First Problem and the New Progress of Infinity Theory (Articles)

Xijia Wang

Journal of Applied Mathematics and Physics Vol.11 No.4，April 18, 2023

DOI: 10.4236/jamp.2023.114060 215 Downloads 1,247 Views Citations
This article belongs to the Special Issue on Algebra
Hilbert’s Fourth Problem: Searching for Harmonic Hyperbolic Worlds of Nature (Articles)

A. P. Stakhov

Journal of Applied Mathematics and Physics Vol.1 No.3，September 24, 2013

DOI: 10.4236/jamp.2013.13010 7,052 Downloads 9,923 Views Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World (Articles)

Alexey Stakhov, Samuil Aranson

Journal of Applied Mathematics and Physics Vol.2 No.7，June 13, 2014

DOI: 10.4236/jamp.2014.27056 4,019 Downloads 5,734 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.1，January 30, 2011

DOI: 10.4236/am.2011.21009 6,667 Downloads 12,654 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.2，February 25, 2011

DOI: 10.4236/am.2011.22020 6,365 Downloads 12,095 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.3，March 24, 2011

DOI: 10.4236/am.2011.23033 6,569 Downloads 12,776 Views Citations
A History, the Main Mathematical Results and Applications for the Mathematics of Harmony (Articles)

A. P. Stakhov

Applied Mathematics Vol.5 No.3，February 11, 2014

DOI: 10.4236/am.2014.53039 8,563 Downloads 12,185 Views Citations
The Ordinal Interpretation of the Integers and Its Use in Number Theory (Articles)

Nathan Thomas Hamlin

Open Journal of Discrete Mathematics Vol.9 No.4，October 28, 2019

DOI: 10.4236/ojdm.2019.94013 596 Downloads 1,457 Views Citations
The Proof of Hilbert’s Seventh Problem about Transcendence of e＋π (Articles)

Jiaming Zhu

Open Access Library Journal Vol.3 No.8，August 23, 2016

DOI: 10.4236/oalib.1102893 1,470 Downloads 2,535 Views Citations
The Historical Logic on the Basic Theory of Physics—A Summary on the Cosmic Continuum Theory (Articles)

Xijia Wang

Journal of Applied Mathematics and Physics Vol.11 No.3，March 31, 2023

DOI: 10.4236/jamp.2023.113055 181 Downloads 956 Views Citations
Negative Answer of Hilbert’s Sixth Mathematical Conjecture
—Mathematical Reasoning of Philosophical Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Philosophy (I) (Articles)

Ziqing Zhang, Yingshan Zhang

Open Journal of Philosophy Vol.11 No.4，November 30, 2021

DOI: 10.4236/ojpp.2021.114037 301 Downloads 1,329 Views Citations
Milestones for Computing Future (Articles)

Teodor Rus

Journal of Software Engineering and Applications Vol.9 No.2，February 18, 2016

DOI: 10.4236/jsea.2016.92003 4,453 Downloads 5,870 Views Citations
Cross Entropy Method for Solving Generalized Orienteering Problem (Articles)

Budi Santosa, Nur Hardiansyah

iBusiness Vol.2 No.4，December 30, 2010

DOI: 10.4236/ib.2010.24044 5,698 Downloads 9,960 Views Citations
Using Manipulatives in Solving and Posing Mathematical Problems (Articles)

Roslinda Rosli, Dianne Goldsby, Mary Margaret Capraro

Creative Education Vol.6 No.16，September 16, 2015

DOI: 10.4236/ce.2015.616173 7,032 Downloads 12,706 Views Citations
Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier-Stokes (Articles)

Asset Durmagambetov

Natural Science Vol.2 No.4，May 7, 2010

DOI: 10.4236/ns.2010.24042 4,213 Downloads 8,649 Views Citations
Granular Space and the Problem of Large Numbers (Articles)

Vladimir Konushko

Journal of Modern Physics Vol.2 No.5，May 17, 2011

DOI: 10.4236/jmp.2011.25038 7,037 Downloads 12,315 Views Citations

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