JOURNAL OF ADVANCES IN MATHEMATICS https://rajpub.com/index.php/jam en-US <p><a href="http://creativecommons.org/licenses/by/4.0/" rel="license"><img src="https://i.creativecommons.org/l/by/4.0/88x31.png" alt="Creative Commons License" /></a> All articles published in <em>Journal of Advances in Linguistics</em> are licensed under a <a href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>.</p> editor@rajpub.com (Editorial Office) jam@rajpub.comJ (Bavneet Kaur) Tue, 04 Feb 2025 07:27:38 +0000 OJS 3.3.0.7 http://blogs.law.harvard.edu/tech/rss 60 Solving cubic and quartic equations by means of Vieta's formulas https://rajpub.com/index.php/jam/article/view/9697 <p>In this paper, we will prove that with the use of Vieta's formulas, it is possible to apply a unified method in solving equations of the third and fourth degree.</p> Miloš Čojanović Copyright (c) 2025 Miloš Čojanović https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9697 Tue, 04 Feb 2025 00:00:00 +0000 Ordering Unicyclic Graphs with a Fixed Girth by p-Sombor Indices https://rajpub.com/index.php/jam/article/view/9714 <p>The p-Sombor index of a graphs G is deffned as, SOp(G) = X xy∈E(G) (d p (x) + d p (y)) 1 p , where d(x) represents the degree of vertex x in graph G. Our focus centers on exploring the p-Sombor index of unicyclic graphs, speciffcally addressing graphs with a predetermined girth. We determine the ffrst four smallest p-Sombor index and identifying the corresponding graphs that achieve these extremes.</p> Ting Li, Bingjun li Copyright (c) 2025 Ting Li, Bingjun li https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9714 Fri, 28 Mar 2025 00:00:00 +0000 Controlling Chaos in the Lozi Map Using Hidden Variables: A Novel Approach for Stability Enhancement https://rajpub.com/index.php/jam/article/view/9743 <p><span style="font-weight: 400;">In this paper, we provide a novel 3D system that demonstrates the existence of a hidden attractor. Although equilibrium points are present in the system, this hidden attractor cannot be found by examining equilibrium points or their surroundings, in contrast to self-excited attractors. Differential equation theory explains this behavior by showing that the system has intricate dynamics that are not directly dependent on equilibrium points. We added a hidden variable to the system to make it more complex and improve its stability by adding the following equation to the original system: z</span><span style="font-weight: 400;">n+1</span><span style="font-weight: 400;">=wz</span><span style="font-weight: 400;">n</span><span style="font-weight: 400;">+r3x</span><span style="font-weight: 400;">n</span><span style="font-weight: 400;">, where the hidden variable interacts with the original system through control parameters r1, r2, and r3, increasing chaos or improving the system stability. where it appeared us more complex dynamic behaviors.</span></p> Wafaa Hadi Abdul Suhib I Copyright (c) 2025 Wafaa Hadi Abdul Suhib I https://creativecommons.org/licenses/by/4.0 https://rajpub.com/index.php/jam/article/view/9743 Sat, 14 Jun 2025 00:00:00 +0000