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I need to show that a $(67, 12, 2)$-design does not exist. I tried to use the Bruck, Ryser and Chowla theorem which in this case states that if...
Asked on 11/22/2020 by Slave of Christ
3 answerAn acute-angled triangle $ABC$ is given in the plane. The circle with diameter $AB$ intersectsaltitude $CC'$ and its extension at points $M$ and $N$,...
Asked on 11/22/2020 by David Dong
1 answerIs the diamond shape (rhombus) necessarily different from the square (sides not perpendicular, different lengths of the diagonals), or is the square a special case of a diamond?Sometimes I see...
Asked on 11/21/2020 by Aspro
2 answerDefine$$f(n)=sum_{d|n}gcd(d,frac{n}{d})$$$$F(x)=sum_{n=1}^xf(n)$$ for natural numbers d,n and x. I would like to know if there is some simplified form of $F(x)$ in terms of arithmetic functions,...
Asked on 11/21/2020 by Manas Dogra
2 answerLet $(Ω,mathcal{A},mathbb{P})$ be a probability space. Find a counterexample to the claim that every $mathbb{P}-$integrable function $uinmathcal{L}^1(mathbb{P})$ is bounded.Countableexample $(Ω,mathcal{A},mathbb{P}) = (mathbb{R},mathcal{B}(mathbb{R}),delta_n)$ ...
Asked on 11/21/2020 by Xenusi
1 answerbegin{align}&mbox{If}quadA = sum_{i = 1}^{m}a_{i},x_{i}^{2}quadmbox{and}quadB = sum_{j = 1}^{n}b_{j},y_{j}^{2}\[2mm] &mbox{where}quadx_{i}, y_{j}, a_{i}, b_{j} geq 1, quad x_{i} neq y_{j}end{align}Then, find...
Asked on 11/21/2020 by Consider Non-Trivial Cases
1 answerA coin is tossed twice. What's the probability that exactly 1 head occurs?A coin is tossed 5 times in succession. What's the probability that at least 1 head occurs?On #1,...
Asked on 11/20/2020 by Janine
1 answer$f: mathbb{R}^3 rightarrow mathbb{R}$, $f(x,y,z)=z^2x+e^z+y$Show that an neighboorhood $V$ of $(1,-1)$ in $mathbb{R}^2$ and a continuous differentiable function $g:V rightarrow mathbb{R}$ with $g(1,-1)=0$...
Asked on 11/19/2020 by Lena67
1 answerGood Evening, I am posting this on behalf of a friend, she has a complex analysis maths exam tomorrow morning and wanted some clarification on her answers however this is...
Asked on 11/19/2020 by Nerdy Goat
1 answerI have the following question, and I need to write it as an integer programming problem: A manager of a company wants to give presents to his 1000 employers. He...
Asked on 11/18/2020
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