gorica
  • gorica
Cardinal number
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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gorica
  • gorica
\[D_n=\{\langle d_k\rangle \in Q^N:d_k=0, k>n\}\] what is cardinality of this set?
gorica
  • gorica
Is it n+1 (first n coordinates from N and 0)?
anonymous
  • anonymous
a number denoting quantity (one, two, three, etc.), as opposed to an ordinal number

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gorica
  • gorica
can you tell me what is cardinality of this set?
anonymous
  • anonymous
i think it is the number of subsets of a set.
anonymous
  • anonymous
\[cardinal no. of a set=2^{n} ,where n is the no of elements of the set.\]
gorica
  • gorica
why 2^n? I mean, why 2?
anonymous
  • anonymous
i give you example. S={1} \[Its subsets are \phi and \left\{ 1 \right\}\] They are two in number. now I take S={1,2} Its subsets are \[\phi ,\left\{ 1 \right\},\left\{ 2 \right\},\left\{ 1,2 \right\}\] They are four in number. \[S=\left\{ 1,2,3 \right\}\] try and get eight numbers.
gorica
  • gorica
ok, but can you help me with the set I wrote? I have written that \[|D_n|=|Q^n|=\mathbb{N}_0^n=\mathbb{N}_0\] where \[\mathbb{N}_0\]is alef-zero

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