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MTo complete the discussion about induction proofs, @Maths Pro, there can also be inductions where the induction step isn't +1 but any...
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MI 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...
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AAtum replied to the thread Theorem for quadratic equations.
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Kkhansaheb reacted to fresh_42's post in the thread How Important Is Algebra for Getting a University Diploma? with
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I am the wrong person to defend the usage of the term algebra in English. Algebra means to me abstract algebra, the science of... -
Mmrtwhs replied to the thread Permutation and combination when letters are repeated.First task is to line up M,A,A,A,A,S,T. As noted earlier this can be done in \dfrac{7!}{4!} ways. Now you can insert the 2H's and 2R's...
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Ffresh_42 reacted to blamocur's post in the thread How Important Is Algebra for Getting a University Diploma? with Like.
I've posted my disclaimer earlier :) Google AI (A but not much of I:) claims that "Algebra is branch of mathematics that uses symbols...
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Ffresh_42 replied to the thread Induction theorem.To complete the discussion about induction proofs, @Maths Pro, there can also be inductions where the induction step isn't +1 but any...
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Ffresh_42 replied to the thread Induction theorem.Yes, I saw that I confused P(n) with n at the induction base, but the edit window has already expired, and I didn't want to confuse the...
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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...
