@AkivaWeinberger So i might be a bit confused right now, but what is then an example for a sequence that has no maximum AND minimum. Since the sequence can only rise or fall
@AkivaWeinberger With the sequence you gave (1/n) it was quite obvious it has no minimum, but it has a maxium right ? since 1 is the largest element and is included
@AkivaWeinberger You're right. I know that now too. Bounded means only there is an upper limit and lower limit, but minimum means its included in the sequence
Hi, considering i have a "sequence" that converges against "infinite". I shall prove that such sequence has a "minimal member". I am a bit confused how exactly i should prove this, because i thought if a sequence converges it automatically means that the sequence is "restricted" and has a minimal member ^^
@AkivaWeinberger The real question behind this is that with this relation i should be able to say something about infimum, supremum, minimum, maximum of U
@AkivaWeinberger OK i got it now, but back to my question. if x is for example smaller than a its smaller than all the other vars and hence the whole product is negative
@AkivaWeinberger First why are you always putting a $ in front of a variable ? Well if x is for example smaller than a its also smaller than all others variables and the whole product is positive
@Semiclassical This is just a "naive first" assumption but can it be that the whole graph just works if i have k +1 nodes for this given conditions ? But well, thats just for complete graphs, right, i could just omit the edges for graphis with more nodes and still fullfilll the conditions
@Semiclassical yeah well this seems to be not the required answer, You do not know how many edges you have , you only know that each vertex (or node) has k edges
So if i understood this "double counting" principle right, that means with the given conditions i have to find two expressions of the amount of nodes, right ?
i have a "double counting" problem to solve. The example is a graph (with edges and nodes of course). Edges are represented mathematically as a "pair" or tuple; of course all edges are then a subset of the cross product V x V (if V is the set of nodes). Follwing conditions are given: 1. Each node has exactly k neighbors (= connected with an edge) and 2. each two nodes have only one common neighbor. So i need to find out the amount of nodes with the double counting principle.
Well, maybe in written form, mainly because as a student of computer science many sources are in english, but for speaking good english, i had to speak english daily.