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MMaths Pro replied to the thread Induction theorem.This is what I found on web: The Principle of Mathematical Induction: Let P(n) be a statement involving a natural number n. If(i) it is...
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MThat's odd; why would a book refer to something in this way that hasn't been taught? I'd go to the start of the chapter and start...
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Dr.Peterson replied to the thread Induction theorem.That's odd; why would a book refer to something in this way that hasn't been taught? I'd go to the start of the chapter and start... -
Ffresh_42 replied to the thread How Important Is Algebra for Getting a University Diploma?.I wouldn't include topology in basic skills, but I would include Pythagoras in algebra.
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blamocur replied to the thread Permutation and combination when letters are repeated.I cannot help you without seeing a complete solution. BTW, I often find that explaining to others or writing down my solutions helps me... -
blamocur replied to the thread How Important Is Algebra for Getting a University Diploma?.I am not a native speaker, but I've never heard anyone describing classical geometry or topology as part of algebra, even though...
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MMaths Pro replied to the thread Permutation and combination when letters are repeated.Please help me understand what am I missing. I was going to multiply 47040 by 2 and take that as an final answer.
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blamocur replied to the thread Permutation and combination when letters are repeated.Hopefully I am not breaking the forum's rules too much by publishing my answer, which is 170520. I first ran a brute-force script to get...
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MMaths Pro replied to the thread Induction theorem.surprisingly, it's not given in my book. Where can I find it? I mean I can google but I think I get what you are saying. First prove...
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Dr.Peterson replied to the thread Induction theorem.The bold line is what you failed to state, which is essential. And, as @mrtwhs has pointed out, doing this without showing any specific...
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Mmrtwhs replied to the thread Induction theorem.I think I understand what you are asking. Consider attempting to prove this by induction: If P(n)=1+2+3+\cdots+n then...
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MMaths Pro replied to the thread Induction theorem.Let us assume that P(k) is true 1.6+2.9+3.12....k(3k+3) =k^3+3k^2+2k+3...(1) Now to prove: P(k+1) is true i.e. to prove ...
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MMaths Pro replied to the thread Permutation and combination when letters are repeated.So when RR are adjacent we have 8x7!/4! ways of arranging them(considering RR as one unit), simultaneously keeping HH...
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Dr.Peterson replied to the thread Permutation and combination when letters are repeated.And making silly errors is my middle name. Hopefully I would have counted letters before actually doing the work ... That sounds like...
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Ffresh_42 replied to the thread How Important Is Algebra for Getting a University Diploma?.It all depends on what you understand by algebra, how old you are, and what you want to study. The term is normally used as a...
