miracle173
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 Dec31 comment Ratios with Ages @Przemysław Scherwentke: On your homepage I think you want to say that English is not your mother tongue Dec31 revised Solving $\sqrt{x^2-5} = x-1$ edited title Dec30 comment How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen? You should supply your code and try to convince us that it produces all possible solutions. Dec28 comment The game with countable amount of steps if the angel makes the first move, he will loose even for k=1 because the devil will never remove the number from his box that the angel put in his box in the first move. Dec27 comment Convergence and Crash of a derivation (Chomsky) and which work of Chomsky are you citing? Dec27 comment Examples of magmas with all their elements idempotents what did you try? Dec27 answered Examples of magmas with all their elements idempotents Dec27 reviewed Approve What parts of a pure mathematics undergraduate curriculum have been discovered since 1964? Dec27 comment Filters and Convergence your definition in the comment is blunder, can you correct it. You should add the correct definition to the post Dec24 comment Find the inverse function of $\log_{\sqrt{4-x^2} } \left(x^3+5x^2-x \right)$ The logarithm to base $\sqrt{4-x^2}$ notation can be avoided but I would be surprised if there is an inverse that can be composed of elementary functions $$\begin{array}\\ f(x) &=& \log_{\sqrt{4-x^2} } \left(x^3+5x^2-x \right)\\ &=&\frac{\log(x^3+5x^2-x)}{\log{ \sqrt{4-x^2}}} \\ &=& 2\frac{\log(x)+\log(x-\frac{-5-\sqrt{29}}{2})+\log(x-\frac{-5+\sqrt{29}}{2})}{ \log(2-x)+\log(2+x)} \end{array}$$ Dec23 comment Find the inverse function of $\log_{\sqrt{4-x^2} } \left(x^3+5x^2-x \right)$ What did you try and what is function 3? Dec23 reviewed Approve Why is the naive recursive approach to defining Lebesgue measure not satisfactory? Dec23 reviewed Approve Prove the following integral inequality Dec23 comment systems of 2 equations in 2 variables This is not a system of linear equation! Dec22 comment Knapsack problem NP-complete Instead of "Let $A=\{a_1, a_2, \dots , a_m\}$ and $A_1, A_2, \dots , A_{\lambda}$ be the set and the subsets of an instance of the Exact Cover problem." I would prefer "Let $A_1, A_2, \dots , A_{\lambda}$ a cover of the set $A=\{a_1, a_2, \dots , a_m\}$. We want to decide if it contains an exact cover." But I am not a native speaker. But the rest is ok as far as I can see Dec22 comment Knapsack problem NP-complete the sentence "Let the set $A=\{a_1, a_2, \dots , a_m\}$ and the subsets $\{A_1, A_2, \dots , A_{\lambda} \}$ an instance of the Exact Cover problem." does not have a verb. Dec22 comment Knapsack problem NP-complete The exponent is $(r-1)$ $$i_j=\sum_{r=1}^{\lambda}e_{jr}(\lambda+1)^{r-1}$$ Dec22 revised Prove if n