Look for five natural numbers that satisfy this simple relation 5^61=a^2+b^3+c^4+d^5+e^6Read more
Look for five natural numbers that satisfy this simple relation 5^61=a^2+b^3+c^4+d^5+e^6Read more
Let $ y(x) = \sum_k y_k x^k$ be a formel power series and ,Assume that is invertible then $ y^{-1}$ exist ,Also assum that $ y$ ,$ y^{-1}$ are Borel summable then my question here is : Question: Is there a function $ f$ satisfy :$ B(f+f^{-1})=B(f)+B(f^{-1})$ with $ B$ is a Borel transform ?Read more
Suppose I have a sequence of non-negative integers $ J=\{j_1,j_2,\ldots,j_n\}$ and want to find (if possible) a set of integers $ I=\{0=i_1<i_2< \cdots < i_m\}$ such that $ j_t$ counts the number of pairs $ (i_k, i_\ell)$ with $ i_\ell>i_k$ and $ i_\ell-i_k=t$ . E.g., if $ J=\{3,2,2,2,1\}$ , then we can take $ I=\{0,1,Read more
I have this simple table in MySQL: | virustotalscans | CREATE TABLE `virustotalscans` ( `id` int(11) NOT NULL AUTO_INCREMENT, `scan_id` int(11) NOT NULL, `scanner` varchar(32) NOT NULL, `result` varchar(64) DEFAULT NULL, PRIMARY KEY (`id`), KEY `virustotalscans_scan_id` (`scan_id`), KEY `virustotalscans_scanner` (`scanner`), KEY `virustotalscans_result` (`result`), CONSTRAINT `virustotalscans_ibfk_1` FOREIGN KEY (`scan_id`) REFERENCES `virustotals` (`id`) ) ENGINE=InnoDB AUTO_INCREMENT=9989 DEFAULTRead more
Let $ E$ be a complex Hilbert space, with inner product $ \langle\cdot\;, \;\cdot\rangle$ and the norm $ \|\cdot\|$ and let $ \mathcal{L}(E)$ the algebra of all bounded linear operators from $ E$ to $ E$ . Let $ T\in \mathcal{L}(E)$ . We recall for $ S=(S_1,S_2)\in \mathcal{L}(E)^2$ , the numerical range of $ S$Read more