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 Jan 2 comment Expected number of tosses for two coins to achieve the same outcome for five consecutive flips Thank you very much for such detail answer. Just for information, one can use the idea of of Li (Page 428, Grinstead and Snell's Introduction to Probability) to solve these kind of problem. Jan 2 comment Minimum number of circles to fill up a square Thank you very much for answers. Dec 5 comment Cardinality of a set Thank you very much for your suggestion. Aug 21 comment Product of elements of a set Thanks for the help. Aug 1 comment What is Space Time code? Is there any good book/thesis to understand the subject? Ok. Thanks for the information. Jul 24 comment What is Space Time code? Is there any good book/thesis to understand the subject? @QY: I have accepted some answers of my questions. Please see comment. Is there any other way? Jul 24 comment Expectation of an event Thank you again for the explanation. Jul 24 comment What is Space Time code? Is there any good book/thesis to understand the subject? Thank you very much. I will start of your mentioned book. Jul 24 comment Probability of the event of product of three integers to be divisible by 4 I have accepted answer. Please see the comments bellow. Is there any other way? Jul 23 comment Problem in Matrix Thank you all for the effort. Jul 23 comment Help need in Mathematica or Sage Ok. Thanks for your help. Jul 23 comment Probability of the event of product of three integers to be divisible by 4 Thank you very much. Jul 23 comment Probability of the event of product of three integers to be divisible by 4 Thank you very much. Jul 23 comment Probability of the event of product of three integers to be divisible by 4 Thank you very much for your help. I can understand the approach. Thank you again. Jul 23 comment Probability of the event of product of three integers to be divisible by 4 Ok. Now I can understand the probelm. Thank you all for identify the problem. By random integer I mean that when $A$ is divided by 4, remanider may be any number from 0 to 3. Jul 23 comment Probability of the event of product of three integers to be divisible by 4 By randomness, I mean $A, B, C$ are any three integers. Jul 22 comment Problem in Skew Symmetric Matrix Approach is not clear to me. Will you kindly explain clearly? Jul 20 comment Lattice Reduction of two matrix Thank you all for the effort. Now I am trying to write LLL algorithm in Sage to solve the problem. Jul 3 comment Discrete Fourier Transform Matrix (DFT) Thanks for the information. What is about n=5, 6,7, 8? Jun 30 comment Expectation of an event Thanks for the solution. It works nicely. Just one quarry. In the recursive formula of $E[k]$, why did you add 1? That is $E[k]=1 + \ldots$.