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6 May 2020: Examiner: F Wilkes. 1 Let Ẑ denote the profinite integers and let Zp denote the p-adic integers for pa prime number. Throughout this question you may freely use the Chinese RemainderTheorem. (a)(i) Prove that the ring Zp has no zero-divisors. (ii)

8 Jan 2020: MAT3, MAMA. MATHEMATICAL TRIPOS Part III. Specimen Paper. PAPER 151. PROFINITE GROUPS. Attempt no more than FOUR questions. There are FIVE questions in total. The questions carry equal weight. STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS. Cover

6 Feb 2023: This is an exam-ple of a ‘ruled surface’: one which is locally swept out by a moving Euclidean straight line.) Sketch Σ,and prove that Σ is a smooth surface

29 Jul 2024: The Annals of Statistics. (2011). 39,. 702. (doi: 10.1214/10-aos853). Etanercept, infliximab and adalimumab for the treatment of psoriatic arthritis: a systematic review and economic evaluation. ... Etanercept, infliximab and adalimumab for the treatment

5 Jun 2020: Counting the Primes Using Entropy. Ioannis KontoyiannisAthens U of Economics & Business.

5 Jun 2020: Department of Informatics, Athens University of Economics and Business, Patission 76, 104 34, Athens, Greece$ School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 157 80, Athens, Greece. ... S. T. was supported

18 Sep 2014: sphere bounds a 3-ball. Irreducibility is slightly. stronger than primeness; consider, for exam-.

11 Mar 2024: For exam-ple, in an integration-by-parts, you may choose to write the substitutions inthe right margin.

28 Feb 2019: Show by exam-ple that X and Y need not be independent.

11 Mar 2024: Guide to Mathematical Writing. Writing Guide for new first years. Part III Profinite Groups and Group Cohomology, Lent Term 2021. Lecture notes. Lecture notes (Updated 19th January 2021). Exercise Sheets. Supplementary Material.