Comments on: Discrete math -content– 1. Consider the set ð‘†={(ð‘¥1,ð‘¥2,…,ð‘¥ð‘›)?â„¤ð‘›|ð‘¥ð‘–=0 ð‘Žð‘›ð‘‘ ð‘¥1+ð‘¥2+â‹¯+ð‘¥ð‘›=ð‘˜ð‘š}. Throughout the problem assume that ð‘˜,ð‘š?â„¤ and ð‘˜=2,ð‘š>0. a. Assume ð‘˜=2. Describe a method of counting the number of elements in ð‘† whose entries are all even. (that is, explain how to count the number of ordered non-negative solutions to ð‘¥1+ð‘¥2+â‹¯+ð‘¥ð‘›=2ð‘š in which all the ð‘¥ð‘– are even) b. Assume that ð‘š=ð‘›=3. If you randomly select an element of S, what is the probability that its coordinates are all equivalent ð‘šð‘œð‘‘ ð‘˜? Hint: there are two distinct cases to consider – ð‘˜|ð‘› and ð‘˜âˆ¤ð‘›. 2. Consider the set of vertices, ð‘‰={1,…,ð‘›}. The set ðºð‘›={(ð‘–,ð‘—)?ð‘‰×ð‘‰|ð‘–2 ð‘Žð‘›ð‘‘ ð‘–ð‘“ ð‘=ð‘Žð‘ ð‘¡â„Žð‘’ð‘› ð‘Ž=1 ð‘œð‘Ÿ ð‘=1}. a. Find the equivalence classes of ð‘ƒ under congruence ð‘šð‘œð‘‘ 4. b. If ð‘?ð‘ƒ and ?ð‘¥,ð‘¦?â„¤ such that ð‘=ð‘¥2+ð‘¦2, which of the equivalence classes listed in part a) is ð‘ an element of? Hint: recall that if ð‘Ž=ð‘ ð‘šð‘œð‘‘ ð‘› and ð‘=ð‘‘ ð‘šð‘œð‘‘ ð‘› then ð‘Ž+ð‘=ð‘+ð‘‘ ð‘šð‘œð‘‘ ð‘› and also ð‘Žð‘=ð‘ð‘‘ ð‘šð‘œð‘‘ ð‘›. PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT

Comments on: Discrete math -content– 1. Consider the set ð‘†={(ð‘¥1,ð‘¥2,…,ð‘¥ð‘›)?â„¤ð‘›|ð‘¥ð‘–=0 ð‘Žð‘›ð‘‘ ð‘¥1+ð‘¥2+â‹¯+ð‘¥ð‘›=ð‘˜ð‘š}. Throughout the problem assume that ð‘˜,ð‘š?â„¤ and ð‘˜=2,ð‘š>0. a. Assume ð‘˜=2. Describe a method of counting the number of elements in ð‘† whose entries are all even. (that is, explain how to count the number of ordered non-negative solutions to ð‘¥1+ð‘¥2+â‹¯+ð‘¥ð‘›=2ð‘š in which all the ð‘¥ð‘– are even) b. Assume that ð‘š=ð‘›=3. If you randomly select an element of S, what is the probability that its coordinates are all equivalent ð‘šð‘œð‘‘ ð‘˜? Hint: there are two distinct cases to consider – ð‘˜|ð‘› and ð‘˜âˆ¤ð‘›. 2. Consider the set of vertices, ð‘‰={1,…,ð‘›}. The set ðºð‘›={(ð‘–,ð‘—)?ð‘‰×ð‘‰|ð‘–2 ð‘Žð‘›ð‘‘ ð‘–ð‘“ ð‘=ð‘Žð‘ ð‘¡â„Žð‘’ð‘› ð‘Ž=1 ð‘œð‘Ÿ ð‘=1}. a. Find the equivalence classes of ð‘ƒ under congruence ð‘šð‘œð‘‘ 4. b. If ð‘?ð‘ƒ and ?ð‘¥,ð‘¦?â„¤ such that ð‘=ð‘¥2+ð‘¦2, which of the equivalence classes listed in part a) is ð‘ an element of? Hint: recall that if ð‘Ž=ð‘ ð‘šð‘œð‘‘ ð‘› and ð‘=ð‘‘ ð‘šð‘œð‘‘ ð‘› then ð‘Ž+ð‘=ð‘+ð‘‘ ð‘šð‘œð‘‘ ð‘› and also ð‘Žð‘=ð‘ð‘‘ ð‘šð‘œð‘‘ ð‘›. PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT https://www.rapidessayresearchers.com/uncategorized/discrete-math-content-1-consider-the-set-d%c2%9d%e2%80%a0d%c2%9d%c2%a51d%c2%9d%c2%a52d%c2%9d%c2%a5d%c2%9da/ We offer fast essays with the best content Tue, 26 Jul 2016 09:12:00 +0000 hourly 1 http://wordpress.org/?v=4.2.2