query: For a language $L$ is $Double(L)=\{w: ww\in L\}$ regular?
positive_passages.docid: 147590
positive_passages.text: If $L$ is regular, prove that $\sqrt{L}=\left\{ w : ww\in L\right\}$ is regular
negative_passages.docid: 15821
negative_passages.text: $\ln(x^2)$ vs $2\ln x$
negative_passages.docid: 55390
negative_passages.text: Why does scanf() need "%lf" for doubles, when printf() is okay with just "%f"?
negative_passages.docid: 66020
negative_passages.text: What is $\mathbb Z[[t]]$? What are the double brackets?
negative_passages.docid: 99821
negative_passages.text: Show that $u(x)=\ln\left(\ln\left(1+\frac{1}{|x|}\right)\right)$ is in $W^{1,n}(U)$, where $U=B(0,1)\subset\mathbb{R}^n$.
negative_passages.docid: 136943
negative_passages.text: A problem with a proof about formal series in Lang's Algebra
negative_passages.docid: 20571
negative_passages.text: In a monoid, does $x \cdot y=e$ imply $y \cdot x=e$?
negative_passages.docid: 153355
negative_passages.text: Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?
negative_passages.docid: 64344
negative_passages.text: Notation question: $\ll$
negative_passages.docid: 137664
negative_passages.text: What exactly is $F$ in $W = \int_{a}^{b} F dx$?
negative_passages.docid: 24585
negative_passages.text: Proving that $\mathbf{W}$+$\mathbf{W^{\perp}}$=$\mathbb{R^{n}}$
negative_passages.docid: 58559
negative_passages.text: Is there any shorter pronunciation of W than double-U?
negative_passages.docid: 87926
negative_passages.text: Pumping Lemma for $L=\left\{0^i 1^{j} \mid \gcd(i,j) = 1\right\}$
negative_passages.docid: 63687
negative_passages.text: In Mathematical Logic, What is a Language?
negative_passages.docid: 32589
negative_passages.text: Prove or disprove that Arg(zw)=Arg(z)+Arg(w)
negative_passages.docid: 59724
negative_passages.text: Proving that $x_n\to L$ implies $|x_n|\to |L|$, and what about the converse?
negative_passages.docid: 15300
negative_passages.text: How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)