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Tree of Fermat-Pramanik Series and Solution of
A
M
+
B
2
=
C
2
with Integers Produces a New Series of (
C
1
2
-
B
1
2
)=(
C
2
2
-
B
2
2
)=(
C
3
2
-
B
3
2
)=Others
(Articles)
Panchanan Pramanik
,
Susmita Pramanik
,
Sabyasachi Sen
Advances in Pure Mathematics
Vol.14 No.3
, March 21, 2024
DOI:
10.4236/apm.2024.143008
242
Downloads
747
Views
Citations
Products of Odd Numbers or Prime Number Can Generate the Three Members’ Families of Fermat Last Theorem and the Theorem Is Valid for Summation of Squares of More Than Two Natural Numbers
(Articles)
Susmita Pramanik
,
Deepak Kumar Das
,
Panchanan Pramanik
Advances in Pure Mathematics
Vol.13 No.10
, October 10, 2023
DOI:
10.4236/apm.2023.1310043
257
Downloads
1,002
Views
Citations
Using the Markov Chain for the Generation of Monthly Rainfall Series in a Semi-Arid Zone
(Articles)
Mouelhi Safouane
,
Nemri Saida
,
Jebari Sihem
,
Slimani Mohamed
Open Journal of Modern Hydrology
Vol.6 No.2
, April 6, 2016
DOI:
10.4236/ojmh.2016.62006
2,701
Downloads
4,726
Views
Citations
Very Short-Term Generating Power Forecasting for Wind Power Generators Based on Time Series Analysis
(Articles)
Atsushi Yona
,
Tomonobu Senjyu
,
Funabashi Toshihisa
,
Chul-Hwan Kim
Smart Grid and Renewable Energy
Vol.4 No.2
, May 29, 2013
DOI:
10.4236/sgre.2013.42022
4,420
Downloads
7,892
Views
Citations
A Control Strategy for Smoothing Active Power Fluctuation of Wind Farm with Flywheel Energy Storage System Based on Improved Wind Power Prediction Algorithm
(Articles)
J. C. Wang
,
X. R. Wang
Energy and Power Engineering
Vol.5 No.4B
, October 16, 2013
DOI:
10.4236/epe.2013.54B075
7,203
Downloads
10,117
Views
Citations
Important Issues and Results When Considering the Stochastic Representation of Wind Power Plants in a Generation Optimization Model: An Application to the Large Brazilian Interconnected Power System
(Articles)
Juliana F. Chade Mummey
,
Ildo L. Sauer
,
Dorel S. Ramos
,
William W.-G. Yeh
Energy and Power Engineering
Vol.11 No.8
, August 16, 2019
DOI:
10.4236/epe.2019.118020
914
Downloads
2,154
Views
Citations
Probabilistic Assessment of PV-DG for Optimal Multi-Locations and Sizing Using Genetic Algorithm and Sequential-Time Power Flow
(Articles)
A. Elkholy
Journal of Power and Energy Engineering
Vol.13 No.2
, February 27, 2025
DOI:
10.4236/jpee.2025.132002
106
Downloads
563
Views
Citations
Synthetic Data Generation of Surgical Drills Using Physics-Constrained GAN
(Articles)
Tessa E. Livingston
,
Joshua A. Blaney
,
Suresh S. Muknahallipatna
Journal of Intelligent Learning Systems and Applications
Vol.18 No.3
, July 16, 2026
DOI:
10.4236/jilsa.2026.183015
0
Downloads
21
Views
Citations
A Sufficient Condition for the Primality of the Sum of Two Squares
(Articles)
Han-Lin Li
,
Shu-Cherng Fang
,
Way Kuo
Advances in Pure Mathematics
Vol.16 No.6
, June 11, 2026
DOI:
10.4236/apm.2026.166022
37
Downloads
186
Views
Citations
On Fermat’s Last Theorem and Galaxies of Sequences of Positive Integers
(Articles)
Joachim Moussounda Mouanda
American Journal of Computational Mathematics
Vol.12 No.1
, March 22, 2022
DOI:
10.4236/ajcm.2022.121009
410
Downloads
1,882
Views
Citations
On the Meromorphic Solutions of Fermat-Type Differential Equations
(Articles)
Dengfeng Liu
,
Biao Pan
Journal of Applied Mathematics and Physics
Vol.10 No.9
, September 30, 2022
DOI:
10.4236/jamp.2022.109188
258
Downloads
1,074
Views
Citations
This article belongs to the Special Issue on
Ordinary Differential Equations and Its Applications
Fermat Polynomials and Extended Fermat’s Theorem
(Articles)
Huda Alsaud
,
Ramon Carbó-Dorca
Journal of Applied Mathematics and Physics
Vol.14 No.4
, April 28, 2026
DOI:
10.4236/jamp.2026.144080
27
Downloads
179
Views
Citations
An Elementary Proof of Fermat’s Last Theorem for Epsilons
(Articles)
Bibek Baran Nag
Advances in Pure Mathematics
Vol.11 No.8
, August 24, 2021
DOI:
10.4236/apm.2021.118048
6,351
Downloads
14,034
Views
Citations
On Fermat Last Theorem: The New Efficient Expression of a Hypothetical Solution as a Function of Its Fermat Divisors
(Articles)
Prosper Kouadio Kimou
American Journal of Computational Mathematics
Vol.13 No.1
, February 15, 2023
DOI:
10.4236/ajcm.2023.131002
251
Downloads
1,119
Views
Citations
Whole Perfect Vectors and Fermat’s Last Theorem
(Articles)
Ramon Carbó-Dorca
Journal of Applied Mathematics and Physics
Vol.12 No.1
, January 15, 2024
DOI:
10.4236/jamp.2024.121004
241
Downloads
885
Views
Citations
A Lightweight Multimodal Transformer for Predicting Imminent Mood State Transitions in Synthetic Bipolar Trajectories
(Articles)
Rocco de Filippis
,
Abdullah Al Foysal
Open Access Library Journal
Vol.13 No.3
, March 18, 2026
DOI:
10.4236/oalib.1114917
27
Downloads
255
Views
Citations
A Brief New Proof to Fermat’s Last Theorem and Its Generalization
(Articles)
Demetrius Chr. Poulkas
Journal of Applied Mathematics and Physics
Vol.8 No.4
, April 15, 2020
DOI:
10.4236/jamp.2020.84053
1,242
Downloads
5,090
Views
Citations
Gauss’ Problem, Negative Pell’s Equation and Odd Graphs
(Articles)
Aleksander Grytczuk
Advances in Pure Mathematics
Vol.1 No.4
, July 26, 2011
DOI:
10.4236/apm.2011.14026
4,870
Downloads
10,657
Views
Citations
A Simple and General Proof of Beal’s Conjecture (I)
(Articles)
Golden Gadzirayi Nyambuya
Advances in Pure Mathematics
Vol.4 No.9
, September 22, 2014
DOI:
10.4236/apm.2014.49059
7,232
Downloads
15,528
Views
Citations
On a Simpler, Much More General and Truly Marvellous Proof of Fermat’s Last Theorem (I)
(Articles)
Golden Gadzirayi Nyambuya
Advances in Pure Mathematics
Vol.6 No.1
, January 15, 2016
DOI:
10.4236/apm.2016.61001
5,648
Downloads
9,614
Views
Citations
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