(0,1) is uncountable | Proof using definition of Countable Set | Algebra
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- čas přidán 2. 08. 2018
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Very good explanation sir... Thanks 😊😊
Very good explaination sir.thanks
Very nice explanation Sir.
your explanation cleared the concept properly! thank you so much!!!
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Great sir ,love u 💕💕
Thank u so much sir... great video🤩🤩👌👌👌
Excellent!
Nice explaination....... Helpful for me
Well explained! Sir
Sir very good 👍 explanation
Thank you so much sir
Please sir, Cartesian products of countable sets is also countable. Ka proof karwa dijiye
[0,1] is uncountably infinite nice concept
too good explained
Hello sir ,was u ever student of du??
Sir g which element not exist in list??
Best explanation 👍
Thanks for your appreciation.
sir agr general result lyi kive krna oh v proove krdo tht every opn interval is uncountable
Sir tusi great ho
Thank you sir
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Thanks
Your welcome 😊
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Sir how can we write decimal representation of 1/100 without using 0 and 9 digits
0.01000000...
Sir Cantor's theorem ka proof per ek video banao please
Super explanation 👏🎉🎉🙏🏻🙏🏻🙏🏻sir
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Sir mujhe enumerable or denumerable smjh nhi aata ..bhut confuse hu..dono same h kya?..sir plzz reply me
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Very well explained,thank you!!
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Nice explain
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I couldn't understand this video totally. Dear Sir. I couldn't understand the meaning of suffix of a 11, a 12, and so on.
Sir value of b1 only taken from 1 to 8 not take 0 and 9 why?
Here, we are taking bi different from aii, you can take any value of bi instead of 2 but not equal to 1.
sir can you say about the writing tool..... it's very nice as like as your explanation
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Sir for closed interval how to prove
We know that every subset of a countable set is countable.
Let if possible [0,1] is countable it's subset i.e. (0,1) is also countable. Now show above proof. So we arrive at a contradiction it means our supposition is wrong.
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Sir How to prove [0 , 1] uncountable
Paper me yahi question aata ha jo aapne likha ha par sir ne dusra karba diya
sir i have doubt at b=0.b1b2... and how bi is different from aii plz explain in english sir
This is by the definition of bi see 3:35 onwards.
Is uncountable =non enumerable?
Sir (a,b) ko kaise proof krege ki yeh uncountable hai is
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Why (0,1) is not countable finite set
Because given any function from natural numbers to an interval of reals, there is some real number in the interval which the function does not cover. (And that can be proven - for example - using the diagonal proof presented in this video.)
Sir, will you explain this vedio in english
Sorry, it is not possible for us to provide videos in English.
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Yes sir😔my wish also
Show that [0,1] is not countable?
Sir ye kaise show karainge
We know that every subset of a countable set is countable.
Let if possible [0,1] is countable it's subset i.e. (0,1) is also countable. Now show above proof. So we arrive at a contradiction it means our supposition is wrong.
We hope it clears your doubt. If you still have any doubt feel free to contact us.
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yeh merko bhi doubt h yaar. anyone got answer please tell me too
@@SkiferYT
We know that every subset of a countable set is countable.
Let if possible [0,1] is countable it's subset i.e. (0,1) is also countable. Now show above proof. So we arrive at a contradiction it means our supposition is wrong.
We hope it clears your doubt. If you still have any doubt feel free to contact us.
Regards
Team AllyLearn
OK I solved this question very well thanks for guiding.
is this english or indian or what ? , stick to one language please
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English?
We understand your confusion regarding the language of the lecture.
Please note that these lectures are primarily targeted at Indian audience who uses a mixture of English and Hindi for studying Mathematics.
You may have a look at our Partial Differential Equations (PDE) and later videos of Theory of Real Functions. They are primarily in English.
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So in the last we are assuming that decimal representation is unique for any number from (0,1)
But 0.5=0.49999999...........
So how to justify???
So what I'm asking is finally we got 0.b1b2.... Such that we didn't get any corresponding a1. But 0.b1b2.. May equivalent to some 0.ak1ak2....???
That's just a technical detail. If you are careful in the construction of the diagonal number, you can also take care of the alternate decimal expansions of the numbers in the sequence. One way is by simply not using the digits 0 or 9 (change every digit n to n+1, except digit 9 which is changed to 8). Another - my favorite - way is to increase the digit by 5, wrapping around zero if necessary; that ensures not just that the diagonal number differs from every number in the sequence, but also by how much.
Writing to kr lo sir bdiya pta hi nhi chl ra,