{"title":"Hello World","authors":"C. Diekmann, Lars Hupel","doi":"10.4324/9780240819181-8","DOIUrl":"https://doi.org/10.4324/9780240819181-8","url":null,"abstract":"I always thought that adding one PHP file and one template file and putting your code in the PHP and your design in the template was the simplest way to add features to Tiki. Furthermore features can cooperate sharing the database but are completely independent, you remove the code and nothing happens to the rest of Tiki. It is true that the code inside each feature can be not very clear but it is code that is highly cohesive because it does just one thing.","PeriodicalId":280633,"journal":{"name":"Arch. Formal Proofs","volume":"5 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":"123691082","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":"Polynomial Factorization","authors":"René Thiemann, A. Yamada","doi":"10.1201/b11066-19","DOIUrl":"https://doi.org/10.1201/b11066-19","url":null,"abstract":"This invited talk presents some developments in the history of factoring polynomials. We restrict our discussion to univariate polynomials over the integers or the integers modulo a prime, and do not strive for completeness. In the beginning was root-finding. The Babylonians had numerical algorithms for solving quadratic equations, around 1900–1600 BC. Somewhat later, they also solved cubic equations of the form ax + bx = c numerically, and had mastered quadratics symbolically. For example, to solve","PeriodicalId":280633,"journal":{"name":"Arch. Formal Proofs","volume":"25 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":"127955821","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":"Hilbert's Nullstellensatz","authors":"Alexander Maletzky","doi":"10.1017/9781316683002.039","DOIUrl":"https://doi.org/10.1017/9781316683002.039","url":null,"abstract":"Let k be an algebraically closed field. We will employ the following notation. If I ⊂ k[X1, . . . , Xn] is an ideal, we let Z(I) denote the affine algebraic set in An defined by the vanishing of the polynomials in I . Conversely, if X is an affine algebraic set, I(X) denotes the ideal of polynomials in k[X1, . . . , Xn] vanishing on X . We will give a proof of the following result, called the weak Nullstellensatz:","PeriodicalId":280633,"journal":{"name":"Arch. Formal Proofs","volume":"27 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":"122910391","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":"Actuarial Mathematics","authors":"Yosuke Ito","doi":"10.1090/psapm/035","DOIUrl":"https://doi.org/10.1090/psapm/035","url":null,"abstract":"This program offers students an attractive option for those interested in pursuing advanced degrees in mathematical or quantitative finance and master’s degrees in business administration, as well as in securing employment in the banking and insurance industries. This multidisciplinary course of study concentrates on applied mathematics with a focus on financial models. In addition to a core curriculum of mathematics courses, students are required to complete specific courses in statistics, economics, and computer science. The capstone courses in the program, Math 1120 and 1121, follow the most recent syllabi approved by the Society of Actuaries and the Casualty Actuarial Society for the societies’ professional examinations in financial mathematics, financial economics, and life contingencies. The department organizes seminars, led by local actuaries, to prepare students for taking these professional society examinations as well as the examination in probability.","PeriodicalId":280633,"journal":{"name":"Arch. Formal Proofs","volume":"173 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":"124248052","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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