Re: Mock test Maths- Q11- Query regarding cardinality

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BIMLESH KANTH

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Nov 12, 2020, 1:12:42 AM11/12/20
to Pritika Hirebet, Discussion forum for Mathematics for Data Science I
Hi
T is a set formed using set comprehension. If you look closely, u'll understand
Regards

On Thu, Nov 12, 2020 at 10:51 AM Pritika Hirebet <pritika...@gmail.com> wrote:
Let us define a function f:N→Nf:N→N such that f(0)=1,f(1)=0f(0)=1,f(1)=0, and f(n)=(n−1)[f(n−1)+f(n−2)]f(n)=(n−1)[f(n−1)+f(n−2)] for all n≥2n≥2. Define the following sets,
  • S1={n|f(n)S1={n|f(n) is even, n≤6}n≤6}
  • S2={n|f(n)S2={n|f(n) is odd, n≤6}n≤6}
  • T={n|f(n)T={n|f(n) is prime }}

How can set T be finite. Since the outcome of Prime numbers can be infinite. How can the set be limited to make it finite.

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Regards
BIMLESH KANTH

Malabika Guha Mustafi

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Nov 12, 2020, 3:22:01 AM11/12/20
to Discussion forum for Mathematics for Data Science I, bimles...@gmail.com, Discussion forum for Mathematics for Data Science I, pritika...@gmail.com
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