query: $2 \times 3 = 5+1$ and $2+3 = 5 \times 1$. When else can we switch the operators like this?
positive_passages.docid: 26861
positive_passages.text: $a+b=c \times d$ and $a\times b = c + d$
negative_passages.docid: 7066
negative_passages.text: Calculate simple expression: $\sqrt[3]{2 + \sqrt{5}} + \sqrt[3]{2 - \sqrt{5}}$
negative_passages.docid: 44943
negative_passages.text: The 3 different equals
negative_passages.docid: 133915
negative_passages.text: In which case $M_1 \times N \cong M_2 \times N \Rightarrow M_1 \cong M_2$ is true?
negative_passages.docid: 154698
negative_passages.text: Union of Cartesian products: $X \times (Y \cup Z)= (X \times Y) \cup(X\times Z)$
negative_passages.docid: 137970
negative_passages.text: $2 + 2 = 5$ (Fake proof, or ?)
negative_passages.docid: 36064
negative_passages.text: How many $3 \times 3$ integer matrices are orthogonal?
negative_passages.docid: 80759
negative_passages.text: Proving $A\times (B\cap C)=(A \times B)\cap (A\times C)$.
negative_passages.docid: 120642
negative_passages.text: Let $g : \Bbb N \times \Bbb N \to\Bbb N \times \Bbb N$ defined as $g(m,n) = (m + n,m - n)$
negative_passages.docid: 69919
negative_passages.text: When can you switch the order of limits?
negative_passages.docid: 108325
negative_passages.text: What's the relationship between $SL(2,\mathbb{C})$, $SU(2)\times SU(2)$ and $SO(1,3)$?
negative_passages.docid: 9140
negative_passages.text: Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
negative_passages.docid: 102990
negative_passages.text: Prove or disprove: $S_{10} = \langle (1,3),(1,2, ... ,10) \rangle$
negative_passages.docid: 2635
negative_passages.text: equality of two operators...
negative_passages.docid: 116977
negative_passages.text: Why conjugate when switching order of inner product?
negative_passages.docid: 143714
negative_passages.text: What is the correct notation for flipping $a$ and $b$ values in a complex?
negative_passages.docid: 30583
negative_passages.text: If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$