Axioms最新文献_第5页

Remarks on Conjectures in Block Theory of Finite Groups 有限群块理论猜想评述

IF 2 3区数学

Axioms Pub Date : 2023-12-06 DOI: 10.3390/axioms12121103

Manal H. Algreagri, Ahmad M. Alghamdi

引用次数: 0

Chaotic Steady States of the Reinartz Oscillator: Mathematical Evidence and Experimental Confirmation 雷纳茨振荡器的混沌稳定状态：数学证据和实验证实

IF 2 3区数学

Axioms Pub Date : 2023-12-01 DOI: 10.3390/axioms12121101

J. Petrzela

引用次数: 0

Trends in the Use of Proper Methods for Estimating Mutation Rates in Fluctuation Experiments 在波动实验中使用正确方法估算突变率的趋势

IF 2 3区数学

Axioms Pub Date : 2023-12-01 DOI: 10.3390/axioms12121100

Guillem A. Devin, Alejandro Couce

{"title":"Trends in the Use of Proper Methods for Estimating Mutation Rates in Fluctuation Experiments","authors":"Guillem A. Devin, Alejandro Couce","doi":"10.3390/axioms12121100","DOIUrl":"https://doi.org/10.3390/axioms12121100","url":null,"abstract":"The accurate quantification of mutation rates holds significance across diverse fields, including evolution, cancer research, and antimicrobial resistance. Eighty years ago, Luria and Delbrück demonstrated that the proper quantification of mutation rates requires one to account for the non-linear relationship between the number of mutations and the final number of mutants in a cell population. An extensive body of literature has since emerged, offering increasingly efficient methods to account for this phenomenon, with different alternatives balancing accuracy and user-friendliness for experimentalists. Nevertheless, statistically inappropriate approaches, such as using arithmetic averages of mutant frequencies as a proxy for the mutation rate, continue to be commonplace. Here, we conducted a comprehensive re-analysis of 140 publications from the last two decades, revealing general trends in the adoption of proper mutation rate estimation methods. Our findings demonstrate an upward trajectory in the utilization of best statistical practices, likely due to the wider availability of off-the-shelf computational tools. However, the usage of inappropriate statistical approaches varies substantially across specific research areas, and it is still present even in journals with the highest impact factors. These findings aim to inspire both experimentalists and theoreticians to find ways to further promote the adoption of best statistical practices for the reliable estimation of mutation rates in all fields.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":" 40","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138611476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Novel Method for Ranking Generalized Fuzzy Numbers Based on Normalized Height Coefficient and Benefit and Cost Areas 基于归一化高度系数和效益成本面积的广义模糊数排序新方法

3区数学

Axioms Pub Date : 2023-11-13 DOI: 10.3390/axioms12111049

Thi Hong Phuong Le, Ta-Chung Chu

引用次数: 0

Multi-Objective Non-Linear Programming Problems in Linear Diophantine Fuzzy Environment 线性丢番图模糊环境中的多目标非线性规划问题

3区数学

Axioms Pub Date : 2023-11-13 DOI: 10.3390/axioms12111048

Salma Iqbal, Naveed Yaqoob, Muhammad Gulistan

引用次数: 0

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers 杂交超k-Pell、k-Pell - lucas和修正k-Pell数

3区数学

Axioms Pub Date : 2023-11-11 DOI: 10.3390/axioms12111047

Elen Viviani Pereira Spreafico, Paula Catarino, Paulo Vasco

引用次数: 0

Complex Generalized Representation of Gamma Function Leading to the Distributional Solution of a Singular Fractional Integral Equation 函数的复广义表示导致奇异分数阶积分方程的分布解

3区数学

Axioms Pub Date : 2023-11-10 DOI: 10.3390/axioms12111046

Asifa Tassaddiq, Rekha Srivastava, Ruhaila Md Kasmani, Rabab Alharbi

{"title":"Complex Generalized Representation of Gamma Function Leading to the Distributional Solution of a Singular Fractional Integral Equation","authors":"Asifa Tassaddiq, Rekha Srivastava, Ruhaila Md Kasmani, Rabab Alharbi","doi":"10.3390/axioms12111046","DOIUrl":"https://doi.org/10.3390/axioms12111046","url":null,"abstract":"Firstly, a basic question to find the Laplace transform using the classical representation of gamma function makes no sense because the singularity at the origin nurtures so rapidly that Γze−sz cannot be integrated over positive real numbers. Secondly, Dirac delta function is a linear functional under which every function f is mapped to f(0). This article combines both functions to solve the problems that have remained unsolved for many years. For instance, it has been demonstrated that the power law feature is ubiquitous in theory but challenging to observe in practice. Since the fractional derivatives of the delta function are proportional to the power law, we express the gamma function as a complex series of fractional derivatives of the delta function. Therefore, a unified approach is used to obtain a large class of ordinary, fractional derivatives and integral transforms. All kinds of q-derivatives of these transforms are also computed. The most general form of the fractional kinetic integrodifferential equation available in the literature is solved using this particular representation. We extend the models that were valid only for a class of locally integrable functions to a class of singular (generalized) functions. Furthermore, we solve a singular fractional integral equation whose coefficients have infinite number of singularities, being the poles of gamma function. It is interesting to note that new solutions were obtained using generalized functions with complex coefficients.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":" 22","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135187724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Research on Repeated Quantum Games with Public Goods under Strong Reciprocity 强互惠条件下具有公共物品的重复量子博弈研究

3区数学

Axioms Pub Date : 2023-11-10 DOI: 10.3390/axioms12111044

Simo Sun, Yadong Shu, Jinxiu Pi, Die Zhou

{"title":"Research on Repeated Quantum Games with Public Goods under Strong Reciprocity","authors":"Simo Sun, Yadong Shu, Jinxiu Pi, Die Zhou","doi":"10.3390/axioms12111044","DOIUrl":"https://doi.org/10.3390/axioms12111044","url":null,"abstract":"We developed a repeated quantum game of public goods by using quantum entanglement and strong reciprocity mechanisms. Utilizing the framework of quantum game analysis, a comparative investigation incorporating both entangled and non-entangled states reveals that the player will choose a fully cooperative strategy when the expected cooperation strategy of the competitor exceeds a certain threshold. When the entanglement of states is not considered, the prisoner’s dilemma still exists, and the cooperating party must bear the cost of defactoring the quantum strategy themselves; when considering the entanglement of states, the benefits of both parties in the game are closely related, forming a community of benefits. By signing a strong reciprocity contract, the degree of cooperation between the game parties can be considered using the strong reciprocity entanglement contract mechanism. The party striving to cooperate does not have to bear the risk of the other party’s defector, and to some extent, it can solve the prisoner’s dilemma problem. Finally, taking the public goods green planting industry project as an example, by jointly entrusting a third party to determine and sign a strong reciprocity entanglement contract, both parties can ensure a complete quantum strategy to maximize cooperation and achieve Pareto optimality, ultimately enabling the long-term and stable development of the public goods industry project.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":"102 25","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135136533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Homotopes of Quasi-Jordan Algebras 拟约当代数的同伦

3区数学

Axioms Pub Date : 2023-11-10 DOI: 10.3390/axioms12111045

Reem K. Alhefthi, Akhlaq A. Siddiqui, Fatmah B. Jamjoom

引用次数: 0

Conversion of Unweighted Graphs to Weighted Graphs Satisfying Properties R and −SR 非加权图到满足属性R和- SR的加权图的转换

3区数学

Axioms Pub Date : 2023-11-09 DOI: 10.3390/axioms12111043

Xiaolong Shi, Saira Hameed, Sadia Akhter, Aysha Khan, Maryam Akhoundi

{"title":"Conversion of Unweighted Graphs to Weighted Graphs Satisfying Properties R and −SR","authors":"Xiaolong Shi, Saira Hameed, Sadia Akhter, Aysha Khan, Maryam Akhoundi","doi":"10.3390/axioms12111043","DOIUrl":"https://doi.org/10.3390/axioms12111043","url":null,"abstract":"Spectral graph theory is like a special tool for understanding graphs. It helps us find patterns and connections in complex networks, using the magic of eigenvalues. Let G be the graph and A(G) be its adjacency matrix, then G is singular if the determinant of the adjacency matrix A(G) is 0, otherwise it is nonsingular. Within the realm of nonsingular graphs, there is the concept of property R, where each eigenvalue’s reciprocal is also an eigenvalue of G. By introducing multiplicity constraints on both eigenvalues and their reciprocals, it becomes property SR. Similarly, the world of nonsingular graphs reveals property −R, where the negative reciprocal of each eigenvalue also finds a place within the spectrum of G. Moreover, when the multiplicity of each eigenvalue and its negative reciprocal is equal, this results in a graph with a property of −SR. Some classes of unweighted nonbipartite graphs are already constructed in the literature with the help of the complete graph Kn and a copy of the path graph P4 satisfying property R but not SR. This article takes this a step further. The main aim is to construct several weighted classes of graphs which satisfy property R but not SR. For this purpose, the weight functions are determined that enable these nonbipartite graph classes to satisfy the −SR and R properties, even if the unweighted graph does not satisfy these properties. Some examples are presented to support the investigated results. These examples explain how certain weight functions make these special types of graphs meet the properties R or −SR, even when the original graphs without weights do not meet these properties.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":" 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135240983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0