query: Is $i$ well defined?
positive_passages.docid: 24688
positive_passages.text: Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?
negative_passages.docid: 124703
negative_passages.text: Where does the $i$ come from in the Schrödinger equation?
negative_passages.docid: 131185
negative_passages.text: For fixed $z_i$s inside the unit disc, can we always choose $a_i$s such that $\left|\sum_{i=1}^n a_iz_i\right|<\sqrt3$?
negative_passages.docid: 57581
negative_passages.text: Let $E$ be measurable and define $f:E\rightarrow\mathbb{R}$ such that $\{x\in E : f(x)>c\}$ is measurable for all $c\in\mathbb{Q}$, is $f$ measurable?
negative_passages.docid: 91947
negative_passages.text: Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
negative_passages.docid: 42314
negative_passages.text: Without appealing to choice, can we prove that if $X$ is well-orderable, then so too is $2^X$?
negative_passages.docid: 35972
negative_passages.text: Well ordering principle for rationals
negative_passages.docid: 154837
negative_passages.text: mapping properties of $(1−z)^i$
negative_passages.docid: 16647
negative_passages.text: Is the world $C^\infty$?
negative_passages.docid: 71479
negative_passages.text: Is there some elementary proof of invariance of domain?
negative_passages.docid: 7802
negative_passages.text: Showing $\prod\limits_{i<j} \frac{x_i-x_j}{i-j}$ is an integer
negative_passages.docid: 90703
negative_passages.text: "Well defined" function - What does it mean?
negative_passages.docid: 129334
negative_passages.text: Where does $\in$ come from and where is it defined?
negative_passages.docid: 95449
negative_passages.text: What is the square root of "$i$"?
negative_passages.docid: 61048
negative_passages.text: Is this a characterization of well-orders?
negative_passages.docid: 17285
negative_passages.text: Proof of greatest integer theorem: floor function is well-defined
negative_passages.docid: 74207
negative_passages.text: What is $i$ exponentiated to itself $i$ times?