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Dr.Peterson replied to the thread Induction theorem.I don't think you quite meant what you wrote. The statement being proved is P(n): n! is divisible by 7. This is only true for n>=7... -
blamocur replied to the thread How Important Is Algebra for Getting a University Diploma?.I've posted my disclaimer earlier :) Google AI (A but not much of I:) claims that "Algebra is branch of mathematics that uses symbols... -
MI 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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MYes. The idea is: Prove P(1), P(2), ... We can't do that for all numbers, so let's pretend we have done it until P(n). If we can now use...
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Ffresh_42 replied to the thread How Important Is Algebra for Getting a University Diploma?.I am the wrong person to defend the usage of the term algebra in English. Algebra means to me abstract algebra, the science of...
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Ffresh_42 replied to the thread Induction theorem.Yes. The idea is: Prove P(1), P(2), ... We can't do that for all numbers, so let's pretend we have done it until P(n). If we can now use...
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blamocur replied to the thread How Important Is Algebra for Getting a University Diploma?.Agree But Pythagoras theorem is not all the geometry. Moreover, most of calculus (which some would consider basic skills) relies on...
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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...
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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...
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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...
