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shevron
 2 years ago
please help with complete matric
shevron
 2 years ago
please help with complete matric

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shevron
 2 years ago
Best ResponseYou've already chosen the best response.0let \[\left( X;d \right)\] 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

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@Callisto ,@Chlorophyll ,@charliem07 please help

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@Chlorophyll please help

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@UnkleRhaukus please help

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0@JamesJ, @experimentX, @eliassaab, @nbouscal, @beketso

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@TuringTest please help

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0btw for advanced questions you may have better luck here http://math.stackexchange.com/

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.3your job is showing it is "complete" is to show that if \(f_n\to f\) then \(f\in C_b\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.3that is, if a sequence of continuous functions converges to some function using the sup metric, then the limit function is continuous also

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.3this should work because the metric is the supremum over all \(x\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.3the 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

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0do i have to let the sequence to be a cauchy sequence first?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.3actually what i meant is the uniform limit of a sequence of continuous functions is CONTINUOUS

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

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

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0can u fynd me someone who can do it

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@mathslover please help

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry, am not good at this topic.

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0ok can you search for me where i can find something related to ths?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1Yes! I am best at that field :)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1https://www.youtube.com/watch?v=04pvLCDbq1c ^ a video tutorial

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0eish they blocked youtube here at school

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1That'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

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

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1Have a look at the links and let me know whether they helped or not.

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@mathslover they are not helping

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1http://www.wiziq.com/tutorial/88701ProblemsinMetricSpaces1 Check it out

shevron
 2 years ago
Best ResponseYou've already chosen the best response.0@Luis_Rivera please help
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