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The steps are as follows: 1. Design a class name Box. 2. Box class will have three private member variable: length, height and width. 3. Create a parameterized constructor for the Box class to initialized length, height and width. 4. Box class will have two member function: float area(), float volume(). And the functions willRead more

Let $ H_{d,g,3}$ denote the open subscheme of non-singular irreducible curves in $ \text{Hilb}^{dn+1-g}_{\mathbf{P}^3}$ . Mumford showed that when $ g=24$ and $ d= 14$ , the open subscheme has an irreducible component that’s generically non-reduced. Are there other examples for lower genera? In particular, what is the smallest genus for which one can findRead more

I encountered ‘milisatoshi’ while browsing Lightning Network…, and subsequently found it mentioned here: https://github.com/ElementsProject/lightning/blob/master/README.md#sending-and-receiving-payments Obviously I am curious… I thought satoshi is the smallest unit?Read more

Is it known what the smallest tile (in terms of area) that can tessellate the hyperbolic plane is? In particular, it should tessellate the plane by itself. I think it will be a Triangle group, but I’m not sure. (In spherical geometry, the answer is that there is no smallest tile, because you can makeRead more

Mathematica can solve $ v^2- d u^2=4$ quickly, even for nonsmall $ d$ : d=400004; Reduce[v^2 – d u^2 == 4, Integers] d=400012; Reduce[v^2 – d u^2 == 4, Integers] My difficulty is that I need the smallest solution with positive $ u,v$ , preferably in the form {u,v}. FindInstance gives one solution, but notRead more

Let $ v =(r,s,t) \in \mathbb{N}^3$ be a vector such that $ \gcd(r,s,t)=1$ . We know that there are vectors $ x= (x_1,x_2,x_3) \in \mathbb{Z}^3 $ such that $ v.x =1$ . For each $ v$ , let $ O(v)$ be the smallest size ($ L^1$ or $ L^\infty$ norm) of such orthogonal $ x$Read more

I want to setup a domain with two different DNS providers – Route53 and Azure. When testing the domain with ZoneMaster I get the following warning: The smallest possible legal referral packet is larger than 512 octets (it is 536) Here is the link to the test: https://zonemaster.net/test/44c3627a5ec7e269 Is this important? If so, how shouldRead more

Apologies for asking a question which probably has a well-known answer: What is the smallest (not necessarily simple) planar graph with two non-homeomorphic embeddings into the plane? As a follow-up, what is the smallest planar graph with inequivalent embeddings onto the sphere? (In case it makes a difference, I assume that graphs are undirected andRead more