Leonardo
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 Jan25 comment If I am checking for $s$ divides $n$ on the interval $S = [3, n-x]$, how large can I make $x$ to ensure I have verified $n$ is prime? Actually, I have a feeling my first statement is false, let x = 3. Jan22 comment Have I justified that $\forall x \in \mathbb{R}$, $x > 1 \rightarrow x^2 > x$ That square I put there was a test to see how this community would accept it. My instructor claims that it is common to denote the end of a proof with this strange looking notation. Jan22 comment Have I justified that $\forall x \in \mathbb{R}$, $x > 1 \rightarrow x^2 > x$ @HSN I am not taking abstract linear algebra. So your first hypothesis is true. This course is an introduction to elementary discrete mathematics. Jan15 comment Is the set $\{1\}$ a member, and not a subset of the power set of $\{1, 2\}$? Thank you for confirming, some of the question get a bit sticky. Jan15 comment Is my answer correct to this homework involving sets? I am glad you caught that so quick, it seemed apparent that I was missing something to this but I could not define what it was. Jan15 comment Is my answer correct to this homework involving sets? Yes I see your point, I was doing things a bit too implicitly and that is why I was unsure of my own reasoning. Thanks! Jan15 comment Is my answer correct to this homework involving sets? So if 1 person is wearing blue and green, then $G = 1$, $B = 1$, $|G \cap B| = 1$ Jan15 comment Can you show why zero divided by zero does not equal zero? @GilYoungCheong Unfortunately $0^{-1}$ is equally as undefined as $1/0$ which makes sense because you are correct they should be the same in any other example that do not include zero. Jan15 comment Can you show why zero divided by zero does not equal zero? @GilYoungCheong Does this not also work for real numbers too? Jan15 comment Can you show why zero divided by zero does not equal zero? That is the best way it could be explained to me, thank you. Jan15 comment Can you show why zero divided by zero does not equal zero? @DonAntonio Yes, sorry I do not necessarily mean prove. I asked that since everything seems to revolve around proofs for me recently. I realize it is undefined. Perhaps show that it does not work is what I am interested in. Jan14 comment Is it more practice and intuition or rather algorithmic to solve third degree polynomials of this type? My brain does not work like yours, but I hope it starts to soon. Jan14 comment Is it more practice and intuition or rather algorithmic to solve third degree polynomials of this type? Luckily this is a nice equation, thank you I have at least one extra tool in my belt and I will need to read up more on the rational root theorem among other things. Your answer is very clear and concise. Jan14 comment Is it more practice and intuition or rather algorithmic to solve third degree polynomials of this type? Yes, sorry forgot to square that one. Jan14 comment Is it more practice and intuition or rather algorithmic to solve third degree polynomials of this type? I kind of get what you and Will Jagy are saying, but it will take time to absorb. The only thing that is immediately obvious from your last equations is that c = 6. I appreciate your helps. Jan14 comment The author of my book simplifies his solutions to an extent that I am uncomfortable with, so are my solutions to homework over doing it? @joejacobz Johnsonbaugh, Richard. Discrete Mathematics, 7th ed. Jan11 comment How do I show that two sets are equal. @amWhy Hopefully its complete and valid, for reals this time. Jan11 comment How do I show that two sets are equal. Thank you, this will take some getting used to but I think I am seeing the logic better, I should probably delete the previous comments though to save space. Jan11 comment Will SADMEP always work to evaluate the inverse of a function, and I should not evaluate right to left? Yes I am taking it as an algorithmic method to evaluating, where it uses the reverse steps as PEMDAS. Thank you for clarifying why this SADMEP is not "literally" the opposite in the sense that I have considered it. Jan11 comment Will SADMEP always work to evaluate the inverse of a function, and I should not evaluate right to left? So there is no reason to use SADMEP, and infact it is not a correct method? I think maybe if there is a correct SADMEP, it is very ambiguous and apparently beyond me at this point. That is, starting with subtraction and ending with exponents/parentheses is itself not correct.