Question

Relation Exercise 4. Determine i the folloung are order relations on X = N, and or those that are, designate u hich is a total ordering or a partial ordering. (a) mk ENo, k 0 with n-m +k (b) m-n- k E No, k > 0 with n-m+2k. (c) mnkeN, k20 with mk m-21, n22, k1, k2 E No, t1, l2 EN are odd;1 If11-1, 12-1, and k1 < k2 OR This is called the Sharkovskii ordering, and will feature prominently later in the course Show there ensts n E N with nとmVrn E N. What is this "largest element n? if &1 1 and l2 > 1 with l < , OR (Extra Credit (30))

Answer 1

tuon Cas since nme IN 2kcloes not hall eeno Ctr