{"title":"A strong law of large numbers for positive random variables","authors":"I. Karatzas, W. Schachermayer","doi":"10.1215/00192082-10817817","DOIUrl":"https://doi.org/10.1215/00192082-10817817","url":null,"abstract":"In the spirit of the famous KOML'OS (1967) theorem, every sequence of nonnegative, measurable functions ${ f_n }_{n in N}$ on a probability space, contains a subsequence which - along with all its subsequences - converges a.e. in CES`ARO mean to some measurable $f_* : Omega to [0, infty]$. This result of VON WEIZS\"ACKER (2004) is proved here using a new methodology and elementary tools; these sharpen also a theorem of DELBAEN&SCHACHERMAYER (1994), replacing general convex combinations by CES`ARO means.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45691916","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}
{"title":"Children of God and the Golden Age of Mormon Literature","authors":"Michael J. Austin","doi":"10.5622/illinois/9780252044090.003.0003","DOIUrl":"https://doi.org/10.5622/illinois/9780252044090.003.0003","url":null,"abstract":"This chapter focuses on <italic>Children of God</italic>, Fisher’s 1939 epic novel of the Mormon migration that won the Harper Prize and reached #2 on the New York Times best seller list behind John Steinback’s <italic>Grapes of Wrath</italic>. <italic>Children of God</italic> used both Joseph Smith and Brigham Young as characters in a novel that neither sensationalized nor sanitized the Mormon story. The Church of Jesus Christ of Latter-day Saints was very upset about the book’s publication, but they chose to ignore it publicly while working behind the scenes to make sure that it did not influence the script of the 1940 20th Century Fox movie, <italic>Brigham Young</italic>. The chapter argues that <italic>Children of God</italic> had a profound influence on Americans’ understanding of Mormonism and created an important market space for other works of Mormon-themed literature.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"1 1","pages":"40-59"},"PeriodicalIF":0.0,"publicationDate":"2021-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147883711","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}
{"title":"The Birth of the Angelic Choir","authors":"Robert M. Marovich","doi":"10.5622/illinois/9780252044113.003.0004","DOIUrl":"https://doi.org/10.5622/illinois/9780252044113.003.0004","url":null,"abstract":"Chapter 3 opens with Reverend Lawrence Roberts being named pastor of the First Baptist Church of Nutley. Church membership having dwindled to almost nothing, Lawrence and Bootsy set about turning the ship around. They recharged the church’s music ministry by inviting Lawrence’s Voices of Faith community choir to sing periodically for Sunday services. The Voices of Faith soon became First Baptist’s main choir. A brief explanation of the significance of a gospel choir in African American Baptist churches is presented for readers unfamiliar with the practice. When in 1961 the Voices of Faith cut their first album for Savoy Records, the ensemble was rechristened the Angelic Choir.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"1 1","pages":"33-42"},"PeriodicalIF":0.0,"publicationDate":"2021-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147907338","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}
{"title":"Minerals and Energy","authors":"A. Horsley, Ruquiyah Islam, D. Irwin","doi":"10.4324/9780429049538-8","DOIUrl":"https://doi.org/10.4324/9780429049538-8","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82448492","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}
{"title":"Chicago: The Heart of the Urban Plain","authors":"A. Horsley, Ruquiyah Islam, D. Irwin","doi":"10.4324/9780429049538-10","DOIUrl":"https://doi.org/10.4324/9780429049538-10","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"48 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79097090","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}
{"title":"Understanding the State","authors":"A. Horsley, Ruquiyah Islam, D. Irwin","doi":"10.4324/9780429049538-3","DOIUrl":"https://doi.org/10.4324/9780429049538-3","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88923881","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}
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