Mathematics
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Simon Fraser

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  • Member for 1 year, 4 months
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  • Last seen Dec 30 '20 at 17:52

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8 Why is $\forall x\in \mathbb{N},\exists y\in \mathbb{N}, x\leq y $ false? Oct 22 '19
6 A school class of 20 students is to pose with a team for the Mathematics Olympics. The team can consist of any number of (1,2,3, …, 20) Nov 3 '19
5 Proving $A \subset B \implies A \cup B = B$ Oct 27 '19
4 Suppose $B \subseteq A$ and $ R = \{(X,Y) \in \mathscr P(A) \times \mathscr P(A) \mid X\Delta Y\subseteq B\}$ Prove $R$ is an equivalence relation. Oct 27 '19
4 Find the $1000$th digit after the decimal point of $\sqrt{n},$ where $n=\underbrace{11\dots1}_{1998 \text{ 1's}}$ Oct 27 '19
4 $10000=abc$ with $a,b,c$ natural numbers don't have digit $0$. Smallest possible value of $a+b+c$ is? Oct 23 '19
4 If $m$ and $n$ are integers and $mn$ is even, $m$ is even or $n$ is even. Dec 18 '19
4 How many solutions are there to the equation $x_1 + x_2 + x_3 + x_4 +x_5= 10$ where $x_1, x_2, x_3, x_4, x_5$ are positve integers? Dec 29 '19
4 If $n>3$ is not prime, show that we can find positive integers $a,b,c$ such that $n=ab+bc+ca+1$. Jan 1 '20
3 Find the positive integers $a,b,$ and $c$ s.t. $\sqrt{\sqrt[3]{5} - \sqrt[3]{4}}\times 3 = \sqrt[3]{a}+\sqrt[3]{b}-\sqrt[3]{c}.$ Dec 30 '19
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