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shevronBest ResponseYou've already chosen the best response.0
let \[\left( X;d \right)\] be a matric space and \[C_{b}\]\[\left( X,R \right)\] denote the set of all continuous bounded real valued functions defined on X, equipped with the uniform metric. \[ d\left( f,g \right)=sup{ \left f \left( x \right)g \left( x \right) \right: xinX }\] Show that \[C_{b}\]\[\left( X,R \right)\] is a complete matric space
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@Callisto ,@Chlorophyll ,@charliem07 please help
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@Chlorophyll please help
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@UnkleRhaukus please help
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
@JamesJ, @experimentX, @eliassaab, @nbouscal, @beketso
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@TuringTest please help
 one year ago

TuringTestBest ResponseYou've already chosen the best response.0
btw for advanced questions you may have better luck here http://math.stackexchange.com/
 one year ago

satellite73Best ResponseYou've already chosen the best response.3
your job is showing it is "complete" is to show that if \(f_n\to f\) then \(f\in C_b\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.3
that is, if a sequence of continuous functions converges to some function using the sup metric, then the limit function is continuous also
 one year ago

satellite73Best ResponseYou've already chosen the best response.3
this should work because the metric is the supremum over all \(x\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.3
the general idea is that under the sup metric, the convergence is uniform, and the uniform limit of a sequence of continuous functions is uniform gotta run, but if you google what i wrote i bet you will find a worked out solution
 one year ago

shevronBest ResponseYou've already chosen the best response.0
do i have to let the sequence to be a cauchy sequence first?
 one year ago

satellite73Best ResponseYou've already chosen the best response.3
actually what i meant is the uniform limit of a sequence of continuous functions is CONTINUOUS
 one year ago

shevronBest ResponseYou've already chosen the best response.0
my problem we are given f and g and they are different how am i going to proof them simultaneously
 one year ago

phiBest ResponseYou've already chosen the best response.0
I assume you mean "metric space" ? But I tend more to applied math problems. i.e. not this kind of question.
 one year ago

shevronBest ResponseYou've already chosen the best response.0
can u fynd me someone who can do it
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@dmezzullo please help
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@mathslover please help
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
Sorry, am not good at this topic.
 one year ago

shevronBest ResponseYou've already chosen the best response.0
ok can you search for me where i can find something related to ths?
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
Yes! I am best at that field :)
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
https://www.youtube.com/watch?v=04pvLCDbq1c ^ a video tutorial
 one year ago

shevronBest ResponseYou've already chosen the best response.0
eish they blocked youtube here at school
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
That's good decision even :) . http://www.csie.ntnu.edu.tw/~bbailey/metric%20spaces.htm http://www.maths.usyd.edu.au/u/UG/SM/MATH3961/ http://www.wiziq.com/tutorials/metricspace
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
oh forgot this : http://wwwhistory.mcs.stand.ac.uk/~john/analysis/Lectures/L15.html
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
Have a look at the links and let me know whether they helped or not.
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@mathslover they are not helping
 one year ago

mathsloverBest ResponseYou've already chosen the best response.1
http://www.wiziq.com/tutorial/88701ProblemsinMetricSpaces1 Check it out
 one year ago

shevronBest ResponseYou've already chosen the best response.0
@Luis_Rivera please help
 one year ago
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