I saw this on a website. Prove that if r and s are positive integers with
r > s and gcd(r,s)=1, then gcd(rs , r + s)= 1. I can think of two ways to show this. Using the Euclidean algorithm or by showing that 1 can be a linear combination of rs and r + s. Funny thing...I couldn't do either...
I remember when I was taking discrete analysis of data structures and we had to prove certain graph theory properties.
I'll give a specific example, prove that the cycle graph, C_n, is connected for all n.
From what I remember, it was induction we used to prove this...what I want to know...
Ok. I'm currently trying to understand antenna strength in the wireless cards you find for your computer. Let's say that I have a wireless http://www.tigerdirect.ca/applications/SearchTools/item-details.asp?EdpNo=706706&Sku=D700-2286" with a certain "receiver sensitivity". How exactly do I read...
Let f: D \rightarrow \mathbb{R} be continuous.
Is there an easier function that counterexamples;
if D is closed, then f(D) is closed
than D={2n pi + 1/n: n in N}, f(x)=sin(x) ?????
Plus, these counterexamples are very similar ...but are they correct?
If D is not closed, then f(D)...
Let f: D \rightarrow \mathbb{R} be continuous.
Is there an easier function that counterexamples;
if D is closed, then f(D) is closed
than D={2n pi + 1/n: n in N}, f(x)=sin(x) ?????
Plus, these counterexamples are all the same with the domain changed, just correct me if I'm wrong...
I recently saw an episode of mythbusters where they tested the theory that if you run in the rain you get less wet. Their results turned out to be the exact opposite, they found that running in the rain actually made you more wetter. I'm wondering now, taking into account only the "falling" rain...
Ok..tried to help a friend understand some of his homework..I haven't seen symbolic logic since college, but there was this one problem in particular that went something like..."Mr. X got a C on his final." and "Mr. X passed the class"...we say that these are represented by p and q...
Ok..tried to help a friend understand some of his homework..I haven't seen symbolic logic since college, but there was this one problem in particular that went something like..."Mr. X got a C on his final." and "Mr. X passed the class"...we say that these are represented by p and q...
This is the second time I write this post because the first time it got deleted...so I must say that I am not going to go into all the detail that I went into the first time I wrote this..not to mention that I'm a bit p.o.'d.
In back to the future, doc brown says that a lightning bolt can...