query: How can be possible $\cap R_M=R$?
positive_passages.docid: 147888
positive_passages.text: Show that $M=\bigcap_{\mathfrak{p}\in\operatorname{Spec}(R)}M_\mathfrak{p}=\bigcap_{\mathfrak{m}\in\text{Max}(R)}M_\mathfrak{m}$ for certain $M$.
negative_passages.docid: 157309
negative_passages.text: Does $P(A\cap B) + P(A\cap B^c) = P(A)$?
negative_passages.docid: 143735
negative_passages.text: Prove/Disprove: For any sets $X$ and $Y$, $\overline{X\cap Y} = \bar{X}\cup\bar{Y}$
negative_passages.docid: 134510
negative_passages.text: How do you get $\rm{var}(\Theta -\hat\theta) = \rm{var}(\Theta)$?
negative_passages.docid: 26766
negative_passages.text: Proving : $A \cap (B-C) = (A \cap B) - (A \cap C)$
negative_passages.docid: 155311
negative_passages.text: How to get a set $E$ such that $0<\mu(E\cap I)<\mu(E)$ for all interval $I$?
negative_passages.docid: 55680
negative_passages.text: The relationship of ${\frak m+m=m}$ to AC
negative_passages.docid: 134442
negative_passages.text: Can a matrix in $\mathbb{R}$ have a minimal polynomial that has coefficients in $\mathbb{C}$?
negative_passages.docid: 76716
negative_passages.text: Solve an equation in $\mathbb{R}^+$
negative_passages.docid: 114575
negative_passages.text: If $\sum_{i=1}^k \dim F_i > n(k-1)$ then $\cap_{i=1}^k F_i \neq \{0\}$
negative_passages.docid: 127491
negative_passages.text: Isometric isomorphism between $R^2$ and $R$
negative_passages.docid: 33524
negative_passages.text: Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
negative_passages.docid: 113614
negative_passages.text: Approximating the density of $S\cap[a,b]$ using a Folner Sequence of $A$, where $S \subseteq A$?
negative_passages.docid: 52135
negative_passages.text: Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
negative_passages.docid: 10107
negative_passages.text: Prove $A\cup (A\cap B) = A$
negative_passages.docid: 102299
negative_passages.text: Bijection between $\mathbb{R}^n$ and $\mathbb{R}^m$
negative_passages.docid: 93076
negative_passages.text: When $\min \max = \max \min$?