International Mathematical Forum最新文献_第3页

On unbounded demi Dunford-Pettis operators 关于无界demi Dunford-Pettis算子

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912329

O. Gok, Esra Uluocak

引用次数: 0

80/20 Rule partially explains 7+/-2 law: general system-based analysis 80/20法则部分解释了7+/-2法则:一般基于系统的分析

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9833

Griselda Acosta, Eric Smith, V. Kreinovich

{"title":"80/20 Rule partially explains 7+/-2 law: general system-based analysis","authors":"Griselda Acosta, Eric Smith, V. Kreinovich","doi":"10.12988/imf.2019.9833","DOIUrl":"https://doi.org/10.12988/imf.2019.9833","url":null,"abstract":"The 80/20 rule and the 7 ± 2 law are examples of difficult to explain empirical facts. According to the 80/20 rule, in each activity, 20% of the people contribute to the 80% of the results. The 7± 2 law means that we divide objects into 7 ± 2 groups – i.e., into 5 to 9 groups. In this paper, we show that there is a relation between these two facts: namely, we show that, because of the 80/20 rule, the number of classes cannot be smaller than 5. Thus, the 80/20 rule explains the lower bound (5) on the 7 ± 2 law. 1 Formulation of the Problem Difficult-to-explain empirical facts. There are several difficult-to-explain empirical facts. • For example, there is a ubiquitous 80/20 rule, according to which, in each human activity, 80% of the results come from 20% of the participants. For example, 20% of the people own 80% of all the wealth, 20% of researchers publish 80% of all the papers, etc.; see, e.g., [1, 2] and references therein. • There is a known phenomenon in psychology called a 7 ± 2 law (see, e.g., [4, 5]), according to which each person usually classifies everything into a certain number of classes C; depending on the person, this number ranges from 7 − 2 = 5 to 7 + 2 = 9 classes.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130294827","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

Nonlinear anti-commuting maps of unital algebras with idempotents 幂等一元代数的非线性反交换映射

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9524

Liqin Feng, X. Qi

引用次数: 1

Optimal control of defined contribution pension plan under uncertain optimistic value criterion 不确定乐观值准则下养老金固定缴款计划的最优控制

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912302

Xiantao Wang, Yuanguo Zhu

引用次数: 3

Free final time Stackelberg differential games 免费最后一次斯塔克尔伯格差分游戏

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912312

Chiara Brambilla, L. Grosset

引用次数: 0

H- and H2- cordial labeling of graphs in the context of some graph operations on crown graph 图的H-和H2-亲切标记

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912327

B. Y. Disca, M. G. Domingo

引用次数: 0

A generalization to varieties of a result about curves 关于曲线的一个结果的各种推广

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912383

Rita Vincenti

引用次数: 0

Product cordial graph in the context of some graph operations on crown, helm, and wheel graph 产品亲切图的背景下，一些图形操作的皇冠，舵机，和车轮图

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912316

M. G. Domingo, A. Racca

引用次数: 1

Personal and historical magic squares 个人和历史的魔方

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912301

A. Fässler, Alagu S. Somasundaram

{"title":"Personal and historical magic squares","authors":"A. Fässler, Alagu S. Somasundaram","doi":"10.12988/imf.2022.912301","DOIUrl":"https://doi.org/10.12988/imf.2022.912301","url":null,"abstract":"Parametrizations of 4 × 4 squares which allow to generate individual examples, using birthdays or other personally preferred numbers are developed. This will be done for magic squares that are delightful, perfect, skew symmetric, most perfect and pandiagonal (also called diabolic). Furthermore, the parametrizations explain the construction of famous historical magic squares. Also an idea for an artwork containing mathematics is given, called MathArt. 1 Historical Introduction Magic squares are always of interest to people irrespective of age and their acquaintance with mathematics. Earlier, magic squares appeared often on temples, in paintings and on mythological objects. Magic squares first appeared in ancient China, before they became an active subject westwards. They played a remarkable role in India, later in the Arabic world, in medieval Islam and finally in Europe and America. Legend has it that the first magic square is over 4000 years old. It is said that 12 Albert Fässler and Alagu S. Somasundaram the mystical Emperor Yu in China discovered small black and white circles on the shell of a turtle that had emerged from the Lo river. The arrangement of the circles representing the numbers 1 to 9 were structured in a special 3 × 3 square (see [2]). Here is the modern design of the so-called Lo Shu magic square","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130698321","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

The split feasibility problem and fixed point problem of Bregman totally quasi-asymptotically non-expansive mapping in Banach spaces Banach空间中Bregman完全拟渐近非扩张映射的分裂可行性问题和不动点问题

International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912379

Xuejiao Zi, Zhaoli Ma

引用次数: 0