01301nam 2200361Ia 450 99638860910331620200824132118.0(CKB)1000000000635023(EEBO)2240860620(OCoLC)ocm11781896e(OCoLC)11781896(EXLCZ)99100000000063502319850308d1676 uy |engurbn||||a|bb|Two short discourses against the Romanists[electronic resource] /by Henry Dodwell ..London Printed for Benj. Tooke ...1676[88], 31, 21, 120 [1] pEach part has special title page.Reproduction of original in Cambridge University Library.I. An account of the fundamental principle of popery, and of the insufficiency of the proofs which they have for it -- II. An answer to six queries proposed to a gentle women of the Church of England, by an emissary of the church of Rome.eebo-0021PapacyPapacy.Dodwell Henry1641-1711.744120EAAEAAm/cWaOLNBOOK996388609103316Two short discourses against the Romanists .2373708UNISA02544nam 2200589 450 99646686440331620220303141156.03-540-69677-610.1007/BFb0095985(CKB)1000000000437332(SSID)ssj0000322751(PQKBManifestationID)12099110(PQKBTitleCode)TC0000322751(PQKBWorkID)10289903(PQKB)10004845(DE-He213)978-3-540-69677-3(MiAaPQ)EBC5595389(Au-PeEL)EBL5595389(OCoLC)1076258602(MiAaPQ)EBC6842781(Au-PeEL)EBL6842781(OCoLC)1113609871(PPN)15521764X(EXLCZ)99100000000043733220220303d1998 uy 0engurnn|008mamaatxtccrThe dynamical system generated by the 3n + 1 function /Günther J Wirsching1st ed. 1998.Berlin :Springer-Verlag,[1998]©19981 online resource (VIII, 164 p.) Lecture notes in mathematics ;1681Bibliographic Level Mode of Issuance: Monograph3-540-63970-5 Some ideas around 3n+1 iterations -- Analysis of the Collatz graph -- 3-adic averages of counting functions -- An asymptotically homogeneous Markov chain -- Mixing and predecessor density.The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.Lecture notes in mathematics (Springer-Verlag) ;1681.Combinatorial probabilitiesCombinatorial probabilities.519.2Wirsching Günther J.1960-351066MiAaPQMiAaPQMiAaPQBOOK996466864403316The dynamical system generated by the 3n + 1 function2787162UNISA