Aman Deep Gautam
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 May21 comment Finding solutions to the equation @BabyDragon Thanks. Can we formulate this mathematically, like some generalization? Apr3 comment Calculating number of connected graphs @DouglasS.Stones I think what I edited for clarification is creating doubts. Please see the edit. I think it should be clear now what I want to do. Apr3 comment Calculating number of connected graphs @Hegen As I said "no other constraints like loop" i.e. graphs with loops are to be included. Feb4 comment Number of ways of winning a particular kind of game Got it. Confused your answer with my previous thoughts. That's why messed it up. It was easy question, should have got it at first go. Feb4 comment Number of ways of winning a particular kind of game Please explain the reason why you don't think so. I might get convinced..:) Feb4 comment Number of ways of winning a particular kind of game I wanted to count the number of ways $A$ win. And I think that it should be equal to the number of distinct permutations only. Am I thinking correctly? Feb4 comment Number of ways of winning a particular kind of game I still do not understand. Please bear with me. Here is what I do not understand. Let us have two denominations $1$ and $2$. Now let there be 5 cards, namely, $1, 1', 1'', 2, 2'$ ($'$ are included just to differentiate cards of same denomination for discussion purposes). If choose a combination $1, 1', 2, 2'$ and $1', 1'', 2, 2'$ for A then this is only a way of winning(counted 2 times, if I use normal C(n, k) formula without any constraints.) as A has 2 cards of denomination 1 and 2 cards of denomination 2. Feb4 comment Number of ways of winning a particular kind of game That I figured out on my own. What's next. I mean that since the cards of same denomination are identical I can't use direct C(n,k) formula. Feb4 comment Number of ways of winning a particular kind of game @BrianM.Scott Yes, essentially this is what it boils down to Feb4 comment Number of ways of winning a particular kind of game @BrianM.Scott If there are $n_i$ $i^{th}$ numbered cards. Then A can get any number of cards from $n_i$ and the rest of the cards go with B. Same is repeated for all cards of all denomination. Then the score is calculated. Feb4 comment Number of ways of winning a particular kind of game @BrianM.Scott Why do we have to put a constraint on N. I did not get you. Feb4 comment Number of ways of winning a particular kind of game @CalvinLin edited the question. Apologize for mistake. Feb3 comment number of solutions for the equation $k_1, k_2 \dots, k_r$ are all integers. so yes integer solutions Nov21 comment Why does positive definiteness implies positivity on diagnal How did you infer $a_{ii} = e_i^T A e_i > 0$ Nov20 comment Why does positive definiteness implies positivity on diagnal Could you please elaborate more on your answer. Nov19 comment how many 2x2 matrices are invertible in mod p Sorry, in a hurry I left some information Nov16 comment Why does positive definiteness implies positivity on diagnal I do not get it, this what my question says. Actually it is just mathematical way of expressing my question. What I would like to know is the proof for this. Nov15 comment Why does positive definiteness implies positivity on diagnal Could you please elaborate more on $a_{ii} = e_i^T A e_i > 0$. I did not understand it.