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 2d comment Prove that if $\sum a_n$ converges, then $na_n \to 0$. @gniourf_gniourf i am not arguing, just trying to learn -- why is this wrong? we have to start from some $n \ge N$ Feb 10 comment Deck of Cards Stats Probability Question Welcome to Math.SE, please update your question with your thoughts about the problem and we will be happy to guide you with hints. For example, how do you in general find $\mathbb{P}[A|B]$ for events $A,B$?\ Feb 8 comment minimum possible value of a linear function of n variables So in a sense you are trying to solve the related linear problem. If you are the optimizer which direction is most profitable to explore? Feb 8 comment trigo substitution and identites? +1 clever use of algebra, but to me geometry was more intuitive... Feb 8 comment Should an interpolation coincide the original function on the given data points? As Ross Millikan said, there is a difference in terms. If you want to match the data exactly, it is called interpolation, if not -- approximation Feb 8 comment Completing the square (and variants thereof) not sure, i would let it go, but not a strong opinion... let someone deeper comment on that and see where it goes... Feb 8 comment Finding limit of $\frac{a_n^3+5n}{a_n^2+n}$ for $(a_n)$ bounded. @Hamza yes, indeed Feb 8 comment Completing the square (and variants thereof) do you need a hilbert-spaces tag? Feb 8 comment Finding a root approach with a polynomial @NotoriousNick the one closer to $0$ is the approximation of the rootof the transcendetal equation. Jan 31 comment Minimum cost linear programming problem formulation Can you please show some work on the problem -- what will be the setup (source, sink vertices, graph structure, costs, how you will make the variables) and we will be happy to help clear up things you are not getting correctly. People here generally don't like doing your homework for you Jan 31 comment A result of equation $y^2+1=x^p$ where $p$ is odd prime. Here is perhaps a first step. If we assume for a second that $m$ is even, then $(-1)^k = (-1)^{m-k}$ and your LHS expression is really $$\frac{1}{m!} \sum_{k=0}^m \binom{m}{k} k^m (-1)^{m-k} = \frac{1}{m!} \sum_{k=0}^m \binom{m}{k} (-k)^m$$ Jan 28 comment Chenge weight function in shifted orthogonality @behmor67 you have to figure out which function to use to make the integral come out to $0$ Jan 27 comment Confidence Intervals @adhok i am not sure it is ever valid. $x_{n+1}$ is independent of $x_1, \ldots, x_n$ as stated, and so is independent of $\Sigma_n = \sum_{k=1}^n x_k$. If you are given the distribution of $\Sigma_n$ for arbitrary $n$, you could derive from there if you needed. Jan 26 comment Number of strings over a set $A$ @heyzuse direct counting, no combinations needed Jan 26 comment Expectation of a function of a normally distributed random variable notation $r(\theta)$ is problematic - it denotes a function on the lhs of eqns 1 and 2, while inside the integrals you compute $(r-\theta)^2$ while integrating $dr$ -- what is the connection? Jan 26 comment Expectation of a function of a normally distributed random variable notice that the integrals on the RHS of eqn2 and lhs of eqn3 are the same. is that the intent? Jan 26 comment Expectation of a function of a normally distributed random variable there is a ) missing in the first equation on the left side, where does it go? Jan 26 comment Overflow an integer sequence at a given value @DavidK in C++ this would avoid a size_t to int conversion as well, which is potentially problematic Jan 26 comment Overflow an integer sequence at a given value @texnic fixed, thank you -- don't have matlab here to test right away... Jan 26 comment In how many ways can a $31$ member management be selected from $40$ men and $40$ women so that there is a majority of women? +1 really clever