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Journal of Failed Attempts - Colgate

, Z+hasthepropertythatevery2-coloringofZ+a dmitsarbitrarilylongmonochromaticarithme ticprogressionswithcommondi ; :(1)achronicleofmybattlewithwhatIconside raparticularlydi cultconjecture;(2)topresentmyprogressont hisconjecture;and(3) , , ,somuchsothatI ,ifwearetotakeawayonemessagefromSteinbec k sOfMiceandMen,it sthatsometimestherabbitdoesn sUp,Doc?Ramseytheorymaybestbesummedupas thestudyofthepreservationofstructuresund ersetpartitions ,arithmeticprogressions, [grantnumberH98230-10-1-0204].12 AARONROBERTSON[17].Forthisarticle,wewill restrictourattentiontothepositiveinteger s,andourinvestigationtothesetofarithmeti cprogressions(ourstructure).

DOWN THE LARGE RABBIT HOLE 3 The proof of equivalence of Theorem 1 and Theorem 2 (at least the nontrivial direction) is given by The Compactness Principle, which, in

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Math 312 Lecture Notes Markov Chains - Colgate University

math.colgate.edu

Math 312 Lecture Notes Markov Chains Warren Weckesser Department of Mathematics Colgate University Updated, 30 April 2005 Markov Chains A ( nite) Markov chain is a process with a nite number of states (or outcomes, or events) in which

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Notes on the Periodically Forced Harmonic Oscillator

math.colgate.edu

3. In the undamped case, resonance occurs when the forcing frequency is the same as the natural frequency of the oscillator. 4. In the damped case (b > 0), the homogeneous solution decays to zero as t increases, so the steady state behavior …

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a rabbit with either a waistcoat-pocket, or a watch to take out of it, and, burning with curiosity, she ran across the field after it, and was just in time to see it pop down a large rabbit-hole under the hedge.

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libraries.vermont.gov

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