query: is there a bijection for $f: \mathbb R \to \mathbb C$?
positive_passages.docid: 15909
positive_passages.text: Bijection from $\mathbb R$ to $\mathbb {R^N}$
negative_passages.docid: 103019
negative_passages.text: Find all functoins $f: \mathbb R \rightarrow \mathbb R$ such that $\forall x,y \in \mathbb R f(xy+f(x))=xf(y)+f(x)$
negative_passages.docid: 20199
negative_passages.text: Find a surjective function $f:\mathbb{N}\to \mathbb{Q}$
negative_passages.docid: 118192
negative_passages.text: Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
negative_passages.docid: 11453
negative_passages.text: Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
negative_passages.docid: 109710
negative_passages.text: Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
negative_passages.docid: 79285
negative_passages.text: Does there exist a continuous surjection from $\Bbb R^3-S^2$ to $\Bbb R^2-\{(0,0)\}$?
negative_passages.docid: 130381
negative_passages.text: bijection from $(a,b)$ to $\Bbb R$
negative_passages.docid: 146436
negative_passages.text: Cardinality of the set of bijective functions on $\mathbb{N}$?
negative_passages.docid: 109498
negative_passages.text: Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
negative_passages.docid: 5375
negative_passages.text: Is there a bijective function mapping Natural numbers to Natural numbers, other than $f(n) = n$?
negative_passages.docid: 82675
negative_passages.text: What is an example of function $f: \Bbb{N} \to \Bbb{Z}$ that is a bijection?
negative_passages.docid: 110569
negative_passages.text: Does anyone know a closed-form expression for a bijection between $\mathbb{N}^k$ and $\mathbb{N}$?
negative_passages.docid: 119702
negative_passages.text: Showing a bijection between the set of ringhomomorphisms $\mathbb{Z}[i] \to R$ and the set of $x \in R$ for which $x^2+1=0$
negative_passages.docid: 145722
negative_passages.text: Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
negative_passages.docid: 143000
negative_passages.text: Show that there exists a $c\in \mathbb{C}$ such that $f(z)=c \bar{z}$ for all $\vert z\vert=1$.
negative_passages.docid: 84189
negative_passages.text: Is $\mathbb{C}$ equal to $\mathbb{R}^2$?