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Balderdash β’ A game of trivia (knowledge) and bluffing (creativity) β’ π teams. β’ Each round has a word or phrase: β Guess the definition of the word or phrase. β Collect the definitions and mix in the correct definition. β Read all the definitions, guess the correct one. Points β’ Construct the correct definition β 3 points β’ Choose the correct definition β 2 points β’ Somebody chooses your definition β 1 point each Prime Number Group 1: A number that is greater than 0 but less than 17. Group 2: A number that ends with the digit β1β. Group 3: A number that has exactly two factors. Group 4: A number satisfying π ππ β (π π or π π . Group 1: A number that is greater than 0 but less than 17. Group 2: A number that ends with the digit β1β. has exactly Group 3: C: A number that divisible by only two itselffactors. and 1. Group 4: A number satisfying π ππ β (π π or π π . 3 points for each of groups 3 and 4! Group ?: A number that is greater than 0 but less than 17. Group ?: A number that ends with the digit β1β. Group ?: A number divisible by only itself and 1. Group C: A number divisible by only itself and 1. 1 2 3 Group 1: A number that is greater than 0 but less than 17. Group 2: A number that ends with the digit β1β. 4 1 point for group 2 2 points for each of groups 1, 2, and 3 Parity Parity β’ If two integers are both even or both odd, they are said to have the same parity. β’ 26 and 18 have the same parity. β’ 3 and 1349837 have the same parity. β’ 3 and 26 have a different parity. Abundant Number Abundant Number β’ An integer which is less than the sum of all its proper divisors. β’ 12 is abundant: 1 + 2 + 3 + 4 + 6 > 12 β’ 14 is not abundant: 1 + 7 < 14 β’ 6 is not abundant: 1 + 2 + 3 = 6 Scalene Triangle Scalene Triangle β’ A triangle whose side lengths are all different. Zero Divisor Zero Divisor β’ A nonzero object which can be multiplied by another nonzero object with zero resulting. β’ In β€6 both 2 and 3 are zero divisors: 2 β 3 β‘ 6 β‘ 0 (mod 6) β’ Hyperbolic Paraboloid β’ This is the classic βsaddle pointβ shape. β’ π§ π = π¦2 π2 β π₯2 π2 Perpetuity Perpetuity β’ An annuity that continues forever such as: β $100 every week forever (not just the rest of your life, but rather until the end of time) β’ The British government once offered these (do they still?). β’ Due to the time value of money, the present value is still finite. Inversor Inversor β’ A mechanical device which simultaneously traces out a curve and its inverse. Jerk Jerk β’ The third derivative of position with respect to time. β’ π3π ππ‘ 3 π₯ when π give position. Jounce Jounce β’ The fourth derivative of position with respect to time. β’ π4π ππ‘ 4 π₯ when π give position. β’ Logistic function β’ Two horizontal asymptotes β’ Come from differential equations β’ Ex: π π ππ₯ π₯ =π π₯ 1βπ π₯ with π 0 = 1 2 β’ Used to model many things, in particular something that is capable of spreading quickly but has a limiting factor: diseases, population, etc. Ξ π§ ,π§ >0 Ξ π§ ,π§>0 β’ β π§β1 βπ‘ π‘ π ππ‘ 0 β’ The gamma function. β’ Generalizes the factorial function. β (Well, itβs off by one, but close enough) (It really is quite an important function; to compare it to a factorial is like comparing a Corvette to a bicycle) Module Module β’ An abelian group which can be acted upon by a ring in a fully distributive and associative manner. Triangular System Triangular System β’ A system of linear equations in which each equation has a different leading variable. π₯1 + π₯2 + π₯3 = 5 π₯2 + π₯3 = 6 π₯3 = 7 π π π π β’ A complexity class containing functions whose asymptotic growth rate is at most linear. Oil and Vingear Oil and Vingear β’ A method of using a quadratic polynomials with no cross terms. β’ π₯12 + π₯22 + 3π₯32 β’ Alice and separate the functions, but can Oscar? β€/6β€ β€/6β€ β’ The group of integers modulo 6. β’ 0,1,2,3,4,5 with addition appropriately defined. The End Reference Information β’ Created in 2013 by Dr. Jeffrey Beyerl for use in the math club at the University of Central Arkansas β’ This is just a vanilla PowerPoint, but of course like anything you download from the internet: use at your own risk. β’ I started with the version on the MAA website for math clubs and expanded it.
