Recent content by TheyCallMeMini

Homework Statement Suppose f is a function bounded on [a,b], A=GLB(S u,f), and B=LUB(S W,f). Homework Equations 1. For each e>0, there is a subdivision D={Xi}of [a,b] such that |U f,D - W f,D|<e 2. There is a number Q such that if e>0, then there is a subdivision D of [a,b] such...

I didn't see the drop down menu for the element, union, and implication arrows. Where are those?

See I was thinking more along the lines if we had x an element of A then its simple enough to just say X is in A u B? Because it doesn't matter if X is in B since we can just add another set, regardless its still in A. I'm just lost how to incorporate the union into the proof, I guess I'll...

I understand this isn't a homework area but there is always so much more traffic in this forum rather than the homework. All I'm looking for is a clarification that my ideas to prove both parts are in fact accurate. Homework Statement If each of D1 and D2 is a subdivision of [a,b]...

Homework Statement If each of D1 and D2 is a subdivision of [a,b], then... 1. D1 u D2 is a subdivision of [a,b], and 2. D1 u D2 is a refinement of D1.Homework Equations **Definition 1: The statement that D is a subdivision of the interval [a,b] means... 1. D is a finite subset of [a,b], and...