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Happy Numbers, Happy Functions, and Their Variations: A Survey 快乐数、快乐函数及其变异：一项调查
La matematica Pub Date : 2022-06-01 DOI: 10.1007/s44007-021-00010-x
H. Grundman, Laura L. Hall-Seelig
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引用次数: 0
Asymptotic Normality of the Deconvolution Kernel Density Estimator based on Independent Right Censored Data 基于独立右截尾数据的反卷积核密度估计的渐近正态性
La matematica Pub Date : 2022-06-01 DOI: 10.1007/s44007-022-00019-w
Wenqing Zhu, Shan Sun, Pei Wang, Hrishabh Khakurel
{"title":"Asymptotic Normality of the Deconvolution Kernel Density Estimator based on Independent Right Censored Data","authors":"Wenqing Zhu, Shan Sun, Pei Wang, Hrishabh Khakurel","doi":"10.1007/s44007-022-00019-w","DOIUrl":"https://doi.org/10.1007/s44007-022-00019-w","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"1 1","pages":"531-550"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42080901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Undergraduate and Instructor Perspectives on Learning in First-Year Mathematics Courses in the United States: A Case Study in Calculus 美国本科生和教师对一年级数学课程学习的看法:以微积分为例
La matematica Pub Date : 2022-05-16 DOI: 10.1007/s44007-022-00022-1
Shandy Hauk, P. Hsu
{"title":"Undergraduate and Instructor Perspectives on Learning in First-Year Mathematics Courses in the United States: A Case Study in Calculus","authors":"Shandy Hauk, P. Hsu","doi":"10.1007/s44007-022-00022-1","DOIUrl":"https://doi.org/10.1007/s44007-022-00022-1","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"1 1","pages":"583-617"},"PeriodicalIF":0.0,"publicationDate":"2022-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42284959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lattice Points Close to the Heisenberg Spheres 海森堡球面附近的格点
La matematica Pub Date : 2022-05-04 DOI: 10.1007/s44007-022-00040-z
Elizabeth Campolongo, K. Taylor
{"title":"Lattice Points Close to the Heisenberg Spheres","authors":"Elizabeth Campolongo, K. Taylor","doi":"10.1007/s44007-022-00040-z","DOIUrl":"https://doi.org/10.1007/s44007-022-00040-z","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"2 1","pages":"156-196"},"PeriodicalIF":0.0,"publicationDate":"2022-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42236856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Advances in Noise Modeling for Stochastic Systems in Optimal Control 随机系统最优控制噪声建模研究进展
La matematica Pub Date : 2022-04-26 DOI: 10.1007/s44007-022-00025-y
T. Duncan, B. Pasik-Duncan
{"title":"Advances in Noise Modeling for Stochastic Systems in Optimal Control","authors":"T. Duncan, B. Pasik-Duncan","doi":"10.1007/s44007-022-00025-y","DOIUrl":"https://doi.org/10.1007/s44007-022-00025-y","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"1 1","pages":"685-695"},"PeriodicalIF":0.0,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46314155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Fujita Exponent for a Hardy–Hénon Equation with a Spatial–Temporal Forcing Term 具有时空强迫项的Hardy–Hénon方程的Fujita指数
La matematica Pub Date : 2022-04-01 DOI: 10.1007/s44007-023-00049-y
M. Majdoub
{"title":"On the Fujita Exponent for a Hardy–Hénon Equation with a Spatial–Temporal Forcing Term","authors":"M. Majdoub","doi":"10.1007/s44007-023-00049-y","DOIUrl":"https://doi.org/10.1007/s44007-023-00049-y","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"2 1","pages":"340 - 361"},"PeriodicalIF":0.0,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44786256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Long-time Existence for Systems of Quasilinear Wave Equations 拟线性波动方程组的长时间存在性
La matematica Pub Date : 2022-03-16 DOI: 10.1007/s44007-022-00036-9
Jason Metcalfe, Taylor Rhoads
{"title":"Long-time Existence for Systems of Quasilinear Wave Equations","authors":"Jason Metcalfe, Taylor Rhoads","doi":"10.1007/s44007-022-00036-9","DOIUrl":"https://doi.org/10.1007/s44007-022-00036-9","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"2 1","pages":"37-84"},"PeriodicalIF":0.0,"publicationDate":"2022-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42278903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Optimal $$L^2$$ L 2 A Priori Error Estimates for the Biot System 生物系统最优$$L^2$$ l2先验误差估计
La matematica Pub Date : 2022-03-01 DOI: 10.1007/s44007-022-00020-3
M. Wheeler, V. Girault, Xueying Lu
{"title":"Optimal \u0000 \u0000 \u0000 \u0000 $$L^2$$\u0000 \u0000 \u0000 L\u0000 2\u0000 \u0000 \u0000 A Priori Error Estimates for the Biot System","authors":"M. Wheeler, V. Girault, Xueying Lu","doi":"10.1007/s44007-022-00020-3","DOIUrl":"https://doi.org/10.1007/s44007-022-00020-3","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"1 1","pages":"317-341"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41664411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Spectra of Variants of Distance Matrices of Graphs and Digraphs: A Survey 图与有向图的距离矩阵变体谱:综述
La matematica Pub Date : 2022-03-01 DOI: 10.1007/s44007-021-00012-9
L. Hogben, Carolyn Reinhart
{"title":"Spectra of Variants of Distance Matrices of Graphs and Digraphs: A Survey","authors":"L. Hogben, Carolyn Reinhart","doi":"10.1007/s44007-021-00012-9","DOIUrl":"https://doi.org/10.1007/s44007-021-00012-9","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"1 1","pages":"186-224"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52857411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Conjectures of Sun About Sums of Polygonal Numbers. Sun关于多边形数和的猜想。
La matematica Pub Date : 2022-01-01 DOI: 10.1007/s44007-022-00030-1
Kathrin Bringmann, Ben Kane
{"title":"Conjectures of Sun About Sums of Polygonal Numbers.","authors":"Kathrin Bringmann,&nbsp;Ben Kane","doi":"10.1007/s44007-022-00030-1","DOIUrl":"https://doi.org/10.1007/s44007-022-00030-1","url":null,"abstract":"<p><p>In this paper, we consider representations of positive integers as sums of generalized <i>m</i>-gonal numbers, which extend the formula for the number of dots needed to make up a regular <i>m</i>-gon. We mainly restrict to the case where the sums contain at most four distinct generalized <i>m</i>-gonal numbers, with the second <i>m</i>-gonal number repeated twice, the third repeated four times, and the last is repeated eight times. For a number of small choices of <i>m</i>, Sun conjectured that every positive integer may be written in this form. By obtaining explicit quantitative bounds for Fourier coefficients related to theta functions which encode the number of such representations, we verify that Sun's conjecture is true for sufficiently large positive integers. Since there are only finitely many choices of <i>m</i> appearing in Sun's conjecture, this reduces Sun's conjecture to a verification of finitely many cases. Moreover, the bound beyond which we prove that Sun's conjecture holds is explicit.</p>","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"1 4","pages":"809-828"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9767307/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10430351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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