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# pmi and psmi watch

1. i don't understand the differences in proof between the 2
2. (Original post by will'o'wisp2)
i don't understand the differences in proof between the 2
I know what the first one is, but I either don't know what the second one is, or just haven't come across its acronym. Spell it out?

Things like these might've also given you a reply earlier.
3. (Original post by RDKGames)
I know what the first one is, but I either don't know what the second one is, or just haven't come across its acronym. Spell it out?

Things like these might've also given you a reply earlier.
still refining my title skills

the principle of strong mathematical induction, i'm not really sure how the strong one works quite yet and i don't understand the difference between the 2
4. (Original post by will'o'wisp2)
still refining my title skills

the principle of strong mathematical induction, i'm not really sure how the strong one works quite yet and i don't understand the difference between the 2
Well the difference is clear: in strong you assume that the statement in question is true for every number up to and equal to k, whereas in normal induction you just assume that it is true for k then prove it is true for k+1.

They are both valid ways which slightly differ to this. Look at some examples online to get a concrete understanding in how they are different
5. (Original post by RDKGames)
Well the difference is clear: in strong you assume that the statement in question is true for every number up to and equal to k, whereas in normal induction you just assume that it is true for k then prove it is true for k+1.

They are both valid ways which slightly differ to this. Look at some examples online to get a concrete understanding in how they are different
Can you not use the strong version for just bogstandard summations?
6. (Original post by will'o'wisp2)
Can you not use the strong version for just bogstandard summations?
If you want. I never had to use strong induction.
7. I give a short exposition here https://www.thestudentroom.co.uk/sho...3#post63539283
8. (Original post by RDKGames)
If you want. I never had to use strong induction.
(Original post by Zacken)
I give a short exposition here https://www.thestudentroom.co.uk/sho...3#post63539283
So i asked my teacher today and they way i understood it was that strong means you need to assume every value from your base case up to k as true so that'd be for something like 2nd order recurrence relations etc so as long as there's like 2 terms before liek A_n for example then you need strong which is great fun.

Thanks both

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