Hilbert’s Fourth Problem - Articles - Scientific Research Publishing

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 6,618 Downloads 9,058 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 3,790 Downloads 4,981 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 6,019 Downloads 11,643 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

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

DOI: 10.4236/am.2011.22020 5,686 Downloads 10,995 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

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

DOI: 10.4236/am.2011.23033 6,147 Downloads 11,898 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 8,002 Downloads 10,667 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 940 Downloads 3,090 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 3,128 Downloads 5,799 Views Citations
This article belongs to the Special Issue on Number Theory and Crytography
Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function (Articles)

Alhussein Mohamed

Applied Mathematics Vol.12 No.4，April 22, 2021

DOI: 10.4236/am.2021.124022 199 Downloads 589 Views Citations
Existence and Uniqueness of Positive Solutions for Fourth-Order Nonlinear Singular Sturm-Liouville Problems (Articles)

Ying He

Journal of Applied Mathematics and Physics Vol.2 No.9，August 26, 2014

DOI: 10.4236/jamp.2014.29099 4,871 Downloads 5,476 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 379 Downloads 745 Views Citations
Adomian Decomposition Method for Solving Goursat's Problems (Articles)

Mariam A. Al-Mazmumy

Applied Mathematics Vol.2 No.8，August 8, 2011

DOI: 10.4236/am.2011.28134 5,715 Downloads 11,380 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 1,307 Downloads 1,758 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 58 Downloads 331 Views Citations
An Efficient Technique for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems (Articles)

Mohamed El-Gamel, Mona Sameeh

Applied Mathematics Vol.3 No.8，August 1, 2012

DOI: 10.4236/am.2012.38137 6,444 Downloads 10,156 Views Citations
A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation (Articles)

A. Mareno

Journal of Applied Mathematics and Physics Vol.4 No.8，August 30, 2016

DOI: 10.4236/jamp.2016.48176 1,558 Downloads 2,253 Views Citations
Historical Cohort Study of the Efficacy and Safety of Piperacillin/Tazobactam Versus Fourth-Generation Cephalosporins for Empirical Treatment of Febrile Neutropenia in Patients with Hematological Malignancies (Articles)

Takashi Saito, Tatsuo Ichinohe, Junya Kanda, Miki Nagao, Shunji Takakura, Yutaka Ito, Yoshitsugu Iinuma, Kouhei Yamashita, Tadakazu Kondo, Takayuki Ishikawa, Takashi Uchiyama, Satoshi Ichiyama

International Journal of Clinical Medicine Vol.2 No.1，February 24, 2011

DOI: 10.4236/ijcm.2011.21005 4,699 Downloads 8,621 Views Citations
Spine Surgery Profile in the Fourth Age (Articles)

Mohammad Sami Walid, Priyal Shah, Moataz Abbara, Nadezhda Zaytseva

Open Journal of Modern Neurosurgery Vol.1 No.2，October 31, 2011

DOI: 10.4236/ojmn.2011.12002 3,436 Downloads 8,190 Views Citations
Couette Flow Problem for an Unsteady MHD Fourth-Grade Fluid with Hall Currents (Articles)

Haider Zaman, Tarique Abbas, Arif Sohail, Azhar Ali

Journal of Applied Mathematics and Physics Vol.2 No.4，March 5, 2014

DOI: 10.4236/jamp.2014.24001 4,637 Downloads 7,535 Views Citations
Search for Signatures of New Heavy Top Quark of the Fourth Generation at the Hadron Colliders (Articles)

Nady Bakhet, Maxim Yu Khlopov, Tarek Hussein

Open Journal of Microphysics Vol.4 No.4，October 24, 2014

DOI: 10.4236/ojm.2014.44006 2,814 Downloads 3,411 Views Citations

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