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 Jan2 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. Jan2 comment Minimum number of circles to fill up a square Thank you very much for answers. Dec8 comment Evaluating $\binom{100}{i}a^i(1-a)^{(100-i)}$ in GMP-GNU mpz_bin_uiui can be used for the binomial calculation. But how can it be possible to calculate mpf_t number in GMP? Dec5 comment Cardinality of a set Thank you very much for your suggestion. Aug21 comment Product of elements of a set Thanks for the help. Aug1 comment What is Space Time code? Is there any good book/thesis to understand the subject? Ok. Thanks for the information. Jul24 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? Jul24 comment Expectation of an event Thank you again for the explanation. Jul24 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. Jul24 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? Jul23 comment Problem in Matrix Thank you all for the effort. Jul23 comment Help need in Mathematica or Sage Ok. Thanks for your help. Jul23 comment Probability of the event of product of three integers to be divisible by 4 Thank you very much. Jul23 comment Probability of the event of product of three integers to be divisible by 4 Thank you very much. Jul23 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. Jul23 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. Jul23 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. Jul22 comment Problem in Skew Symmetric Matrix Approach is not clear to me. Will you kindly explain clearly? Jul20 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. Jul3 comment Discrete Fourier Transform Matrix (DFT) Thanks for the information. What is about n=5, 6,7, 8?