{"title":"Index","authors":"","doi":"10.2307/j.ctv131bw89.29","DOIUrl":"https://doi.org/10.2307/j.ctv131bw89.29","url":null,"abstract":"","PeriodicalId":281730,"journal":{"name":"An Invitation to Modern Number Theory","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117103790","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":"Mod p Arithmetic, Group Theory and Cryptography","authors":"","doi":"10.2307/j.ctv131bw89.6","DOIUrl":"https://doi.org/10.2307/j.ctv131bw89.6","url":null,"abstract":"","PeriodicalId":281730,"journal":{"name":"An Invitation to Modern Number Theory","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122922635","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}
CONTINUOUS FOURIER ANALYSIS. Background. Fourier Series for Periodic Functions. The Fourier Integral. Fourier Transforms of Some Important Functions. The Method of Successive Differentiation. Frequency-Domain Analysis. Time-Domain Analysis. The Properties. The Sampling Theorems. DISCRETE FOURIER ANALYSIS. The Discrete Fourier Transform. Inside the Fast Fourier Transform. The Discrete Fourier Transform as an Estimator. The Errors in Fast Fourier Transform Estimation. The Four Kinds of Convolution. Emulating Dirac Deltas and Differentiation on the Fast Fourier Transform. THE USER'S MANUAL FOR THE ACCOMPANYING DISKS. Appendices. Answers to the Exercises. Index.
{"title":"Introduction to Fourier Analysis","authors":"N. Morrison","doi":"10.2307/j.ctv131bw89.16","DOIUrl":"https://doi.org/10.2307/j.ctv131bw89.16","url":null,"abstract":"CONTINUOUS FOURIER ANALYSIS. Background. Fourier Series for Periodic Functions. The Fourier Integral. Fourier Transforms of Some Important Functions. The Method of Successive Differentiation. Frequency-Domain Analysis. Time-Domain Analysis. The Properties. The Sampling Theorems. DISCRETE FOURIER ANALYSIS. The Discrete Fourier Transform. Inside the Fast Fourier Transform. The Discrete Fourier Transform as an Estimator. The Errors in Fast Fourier Transform Estimation. The Four Kinds of Convolution. Emulating Dirac Deltas and Differentiation on the Fast Fourier Transform. THE USER'S MANUAL FOR THE ACCOMPANYING DISKS. Appendices. Answers to the Exercises. Index.","PeriodicalId":281730,"journal":{"name":"An Invitation to Modern Number Theory","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126445177","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}
Pub Date : 1990-11-01DOI: 10.1080/00401706.1990.10484744
Peter W. Jones
The binomial distribution is as important as any distribution in probability. It is quite simply the description of the outcome of throwing a coin n times. The binomial coefficient graph of Section 15 is reproduced here as Figure 1 with only slight modification. Each node is an intersection. We start at the top node which is on level 0 and proceed to higher levels by making left and right turns at each level. Any intersection on a particular level can be characterized by the number of left turns it takes to get there. For example, the second intersection from the left on level 3 is denoted by the binomial coefficient because it is on
{"title":"Applications of Probability:","authors":"Peter W. Jones","doi":"10.1080/00401706.1990.10484744","DOIUrl":"https://doi.org/10.1080/00401706.1990.10484744","url":null,"abstract":"The binomial distribution is as important as any distribution in probability. It is quite simply the description of the outcome of throwing a coin n times. The binomial coefficient graph of Section 15 is reproduced here as Figure 1 with only slight modification. Each node is an intersection. We start at the top node which is on level 0 and proceed to higher levels by making left and right turns at each level. Any intersection on a particular level can be characterized by the number of left turns it takes to get there. For example, the second intersection from the left on level 3 is denoted by the binomial coefficient because it is on","PeriodicalId":281730,"journal":{"name":"An Invitation to Modern Number Theory","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115129695","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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