In the previous examples in the 8.5 videos, you used to the floor functions. Can you explain when we are supposed to use floor or ceiling functions for Inclusion-Exclusion?
It seems to be a mistake that she's using the ceiling function here. In every case where she seems to be using the ceiling function in this video, the number she computes is actually the result of the floor function as she rounds down every time she uses it. This seems to indicate that she intended to use the floor function all along. I could be wrong here, but that seems to be what happened.
at 13:48 You are using the ceiling function but as far I remember ceiling function rounds up the decimal value but here You have rounded them round . I am little bit confused in it.
There are 25 primes less than 100( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97). Were we supposed to add the 4 initial primes(2,3,5,7) to the 21 that we found by using the Sieve of Eratostenes?
@@rasputin7716 Yes when we consider the numbers not divisible by 2, 3, 5, and 7, we are eventually not considering the numbers 2, 3, 5, 7 as they are divisible by themselves respectively. So at last we need to add them up
Aren't all the ceiling functions in this video should be floor functions?
In the previous examples in the 8.5 videos, you used to the floor functions. Can you explain when we are supposed to use floor or ceiling functions for Inclusion-Exclusion?
It seems to be a mistake that she's using the ceiling function here. In every case where she seems to be using the ceiling function in this video, the number she computes is actually the result of the floor function as she rounds down every time she uses it.
This seems to indicate that she intended to use the floor function all along. I could be wrong here, but that seems to be what happened.
at 13:48 You are using the ceiling function but as far I remember ceiling function rounds up the decimal value but here You have rounded them round . I am little bit confused in it.
There are 25 primes less than 100( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97). Were we supposed to add the 4 initial primes(2,3,5,7) to the 21 that we found by using the Sieve of Eratostenes?
Might have made a mistake if so, please correct me.(Love her videos btw she is a lifesaver)
@@rasputin7716 Yes when we consider the numbers not divisible by 2, 3, 5, and 7, we are eventually not considering the numbers 2, 3, 5, 7 as they are divisible by themselves respectively. So at last we need to add them up
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