Mathematics Homework Solutions
#187129
Finite proof
Let R ba a partial order on S, and suppose that x is a unique minimal element in S.
a) prove that S is finite, then xRy for all s in S
b) show that the conclusion in (a) need not be true if S is infinite
This is a discrete structures proof regarding a partial order.
What is this?
By OTA - Overall OTA Rating
Yupei Xiong, PhD - 4.8/5
Purchase Cost Now
$2.19 CAD (was ~$7.98)
Included in Download
- Plain text response
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Proving a partial order and total order. - In each of the following say whether or not R is a partial order on A. If so, is it a total order? a) A= {a,b,c,d}, R= {(a,a),(b,a),(b,b),(b,c),(c,c)} b) A is the set of positive divisors of 24, ...
- Working with partial order relations in discrete math. - Let S = {0,1} and consider the partial order relation R defined on S X S X S as follows: for all ordered triples (a, b, c) and (d, e, f) in S X S X S. ( a, b, c ) R ( d, e, f ) <-> a ≤ ...
- Determine the minimal polynomial over Q for the element 1+i. - Determine the minimal polynomial over Q for the element 1+i.
- Let T be an element of L ( complex numbers^3 ) and suppose 0 is the only eigenvalue for T. Show that T^n = 0 for some n. - Let T be an element of L ( complex numbers^3 ) and suppose 0 is the only eigenvalue for T. Show that T^n = 0 for some n.
- Maximal, greatest, minimal, least elements - Given S = {0, 1}, let R be the partial order relation on S X S X S such that for all ordered triples (a, b, c) and (d, e, f) in SXSXS (a, b, c) is related to (d, e, f) a =
