Two isomorphic graphs can have inequivalent spatial embeddings in 3-space. In this way, an isomorphism class of graphs contains many spatial graph types. A common way to measure the complexity of a...
{"title":"Planar Stick Indices of Some Knotted Graphs","authors":"Tirasan Khandhawit, Puttipong Pongtanapaisan, Athibadee Wasun","doi":"10.1080/10586458.2024.2381681","DOIUrl":"https://doi.org/10.1080/10586458.2024.2381681","url":null,"abstract":"Two isomorphic graphs can have inequivalent spatial embeddings in 3-space. In this way, an isomorphism class of graphs contains many spatial graph types. A common way to measure the complexity of a...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"21 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-31DOI: 10.1080/10586458.2024.2379777
Thomas Mettler, Lukas Poerschke
Using the Schwarzian derivative we construct a sequence (Pl)l⩾2 of meromorphic differentials on every non-flat oriented minimal surface in Euclidean 3-space. The differentials (Pl)l⩾2 are invaria...
{"title":"The Schwarzian Derivative and the Degree of a Classical Minimal Surface","authors":"Thomas Mettler, Lukas Poerschke","doi":"10.1080/10586458.2024.2379777","DOIUrl":"https://doi.org/10.1080/10586458.2024.2379777","url":null,"abstract":"Using the Schwarzian derivative we construct a sequence (Pl)l⩾2 of meromorphic differentials on every non-flat oriented minimal surface in Euclidean 3-space. The differentials (Pl)l⩾2 are invaria...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"22 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-22DOI: 10.1080/10586458.2024.2362354
Gloire Grâce Bockondas, Basile Guy Richard Bossoto
In this paper we survey Eckardt points on a smooth complex cubic threefold with an approach aimed at computing all Eckardt points of a cubic threefold. In addition, we construct cubic threefolds wi...
{"title":"Eckardt Points on a Cubic Threefold","authors":"Gloire Grâce Bockondas, Basile Guy Richard Bossoto","doi":"10.1080/10586458.2024.2362354","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362354","url":null,"abstract":"In this paper we survey Eckardt points on a smooth complex cubic threefold with an approach aimed at computing all Eckardt points of a cubic threefold. In addition, we construct cubic threefolds wi...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"71 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141738332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-24DOI: 10.1080/10586458.2024.2362351
Dimitris Vartziotis, George Dasoulas, Florian Pausinger
This paper addresses the challenge of extending general finite sequences of real numbers within a subinterval of the real line, maintaining their inherent statistical properties by employing machin...
本文探讨了在实线的子区间内扩展一般有限实数序列的难题，并通过使用机械方法保持其固有的统计特性。
{"title":"Learn2Extend: Extending Sequences by Retaining their Statistical Properties with Mixture Models","authors":"Dimitris Vartziotis, George Dasoulas, Florian Pausinger","doi":"10.1080/10586458.2024.2362351","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362351","url":null,"abstract":"This paper addresses the challenge of extending general finite sequences of real numbers within a subinterval of the real line, maintaining their inherent statistical properties by employing machin...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"171 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-24DOI: 10.1080/10586458.2024.2362953
Heidi Goodson
The term degenerate is used to describe abelian varieties whose Hodge rings contain exceptional cycles – Hodge cycles that are not generated by divisor classes. We can see the effect of the excepti...
{"title":"An Exploration of Degeneracy in Abelian Varieties of Fermat Type","authors":"Heidi Goodson","doi":"10.1080/10586458.2024.2362953","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362953","url":null,"abstract":"The term degenerate is used to describe abelian varieties whose Hodge rings contain exceptional cycles – Hodge cycles that are not generated by divisor classes. We can see the effect of the excepti...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"53 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-22DOI: 10.1080/10586458.2024.2362348
Joel E. Cohen
Based on the primes less than 4×1018, Oliveira e Silva et al. (Math. Comp., 83(288):2033–2060, 2014) conjectured an asymptotic formula for the sum of the kth power of the gaps between consecutive p...
基于小于 4×1018 的素数，Oliveira e Silva 等人（Math.Comp., 83(288):2033-2060, 2014）猜想了连续素数之间间隙的第 k 次幂之和的渐近公式。
{"title":"Gaps Between Consecutive Primes and the Exponential Distribution","authors":"Joel E. Cohen","doi":"10.1080/10586458.2024.2362348","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362348","url":null,"abstract":"Based on the primes less than 4×1018, Oliveira e Silva et al. (Math. Comp., 83(288):2033–2060, 2014) conjectured an asymptotic formula for the sum of the kth power of the gaps between consecutive p...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"174 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-22DOI: 10.1080/10586458.2024.2361608
Vincent Delecroix, Julian Rüth
We provide numerical evidence that the GL2(R)-orbit closure of the unfolding of the (3, 4, 13)-triangle in the moduli space of Abelian differentials is a previously unknown 4-dimensional variety. F...
{"title":"A New Orbit Closure in Genus 8?","authors":"Vincent Delecroix, Julian Rüth","doi":"10.1080/10586458.2024.2361608","DOIUrl":"https://doi.org/10.1080/10586458.2024.2361608","url":null,"abstract":"We provide numerical evidence that the GL2(R)-orbit closure of the unfolding of the (3, 4, 13)-triangle in the moduli space of Abelian differentials is a previously unknown 4-dimensional variety. F...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"23 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-22DOI: 10.1080/10586458.2024.2363510
Jing Jin, Liu Xin Jin, Olivia X. M. Yao
In 1919, Ramanujan proved red three congruences for the partition function p(n) which denotes the number of partitions of n. The partition function p(n) can be understood as the number of irreducib...
1919 年，拉马努扬证明了表示 n 的分治数的分治函数 p(n) 的红三同余式。分治函数 p(n) 可以理解为不可还原...
{"title":"Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups","authors":"Jing Jin, Liu Xin Jin, Olivia X. M. Yao","doi":"10.1080/10586458.2024.2363510","DOIUrl":"https://doi.org/10.1080/10586458.2024.2363510","url":null,"abstract":"In 1919, Ramanujan proved red three congruences for the partition function p(n) which denotes the number of partitions of n. The partition function p(n) can be understood as the number of irreducib...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"158 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-19DOI: 10.1080/10586458.2024.2364264
Guoce Xin, Xinyu Xu
We solve an open problem proposed in the book “Computing the continuous discretely” written by Matthias Beck and Sinai Robins. That is, we provide a practical polynomial time algorithm for calculat...
{"title":"A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums","authors":"Guoce Xin, Xinyu Xu","doi":"10.1080/10586458.2024.2364264","DOIUrl":"https://doi.org/10.1080/10586458.2024.2364264","url":null,"abstract":"We solve an open problem proposed in the book “Computing the continuous discretely” written by Matthias Beck and Sinai Robins. That is, we provide a practical polynomial time algorithm for calculat...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-14DOI: 10.1080/10586458.2024.2363508
Maciej Bocheński, Willem A. de Graaf, Piotr Jastrzȩbski, Aleksy Tralle
We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new examples of non-vir...
{"title":"Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL(2,ℝ) -Actions on Homogeneous Spaces","authors":"Maciej Bocheński, Willem A. de Graaf, Piotr Jastrzȩbski, Aleksy Tralle","doi":"10.1080/10586458.2024.2363508","DOIUrl":"https://doi.org/10.1080/10586458.2024.2363508","url":null,"abstract":"We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new examples of non-vir...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141518678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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