query: Confused about $(-1) \times (-1) = (+1)$
positive_passages.docid: 17515
positive_passages.text: Why is negative times negative = positive?
negative_passages.docid: 3712
negative_passages.text: Why $\sqrt{-1 \cdot {-1}} \neq \sqrt{-1}^2$?
negative_passages.docid: 109674
negative_passages.text: If $(I-T)^{-1}$ exists, can it always be written in a series representation?
negative_passages.docid: 80759
negative_passages.text: Proving $A\times (B\cap C)=(A \times B)\cap (A\times C)$.
negative_passages.docid: 107390
negative_passages.text: Why is (-1)(-1) = 1?
negative_passages.docid: 67644
negative_passages.text: How does one get the formula for this bijection from $\mathbb{N}\times\mathbb{N}$ onto $\mathbb{N}$?
negative_passages.docid: 121052
negative_passages.text: Where is the mistake? $-1=(-1)^{2/2}=\left(\left (-1\right)\displaystyle ^2\right)^{1/2}=1^{1/2}=\sqrt 1=1$
negative_passages.docid: 129394
negative_passages.text: understanding $\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1$
negative_passages.docid: 6128
negative_passages.text: If $a \cdot a = 1$ then $a = 1$ or $a = -1$
negative_passages.docid: 17213
negative_passages.text: what operation repeated $n$ times results in the addition operator?
negative_passages.docid: 13899
negative_passages.text: Proof that $-v = (-1)*v$
negative_passages.docid: 140440
negative_passages.text: Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$
negative_passages.docid: 154001
negative_passages.text: $(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
negative_passages.docid: 100465
negative_passages.text: Does there exist a continuous bijection from $(-1,1) \to (-1,1]$?
negative_passages.docid: 133017
negative_passages.text: Prove that $n^n>1\times3\times5\times7\times \dots\times(2n-1)$
negative_passages.docid: 149605
negative_passages.text: Homeomorphism from $[0,1]\times[0,1]$ to $\overline{D}(0,1)$?
negative_passages.docid: 4156
negative_passages.text: What is $\Bbb R^{\times}$? [unit group, ring to "times" power]