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- Math 241, Section 002, Vector Calculus, Fall 2002 Meeting Time: MWF 10:10 am -11:00 am, LeConte 405.
- Math 241, Fall 2002 Worksheet 1 Test 1 will be on Friday, September 20 at the usual time and place. The
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- 11594. (a) For any integer n > 1, n(n -1) . . . (n -k + 1)
- 11598. Let s1 < s2 < . . . be the elements of S listed in increasing order. Define T := {sk : sk S, sk is not generated by {s1, s2, . . . , sk-1}}.
- Remark. To remove any ambiguity in the formulation of the problem, it must be noted that the fragment "between -a0/a1 and -a2" should not be
- 11595. Throughout this proof, all indices are to be understood modulo n and all sums are with respect to i from 1 to n.
- 11591. A bit more revealing definition of Ik n is given by
- 11593. To prove the claim it suffices to show that a suitable linear combina-tion of the first k + 2 columns of the matrix equals a column of zeros. In the
- 11599. In this proof, AC stands for the Axiom of Choice, and AGK stands for the following statement proposed by Galvin and Komjath