query: Total Order Relation on $\mathbb{C}$
positive_passages.docid: 148118
positive_passages.text: Prove that field of complex numbers cannot be equipped with an order relation
negative_passages.docid: 138279
negative_passages.text: Multiplicative order and powers
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: 98734
negative_passages.text: Order of a product of elements in a generic group
negative_passages.docid: 121860
negative_passages.text: Number of well-ordering relations on a well-orderable infinite set $A$?
negative_passages.docid: 90475
negative_passages.text: Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
negative_passages.docid: 17178
negative_passages.text: Order of $\phi(g)$ divides the order of $g$
negative_passages.docid: 75553
negative_passages.text: Order of matrices in $GL_2(\mathbb{Z})$
negative_passages.docid: 29232
negative_passages.text: Find total number of relations that are equivalence as well as partial order set
negative_passages.docid: 133820
negative_passages.text: The product topology on $\mathbb R_d\times \mathbb R$ vs. the dictionary order topology on $\mathbb R\times \mathbb R$
negative_passages.docid: 91178
negative_passages.text: chain of divisibility relation
negative_passages.docid: 76521
negative_passages.text: Every partial order can be extended to a linear ordering
negative_passages.docid: 60897
negative_passages.text: Non-integer order derivative
negative_passages.docid: 74827
negative_passages.text: Integer ordered pair of $(x,y)$ in complex algebraic equation
negative_passages.docid: 138436
negative_passages.text: How to prove reflexivity, symmetry and transitivity for the following relation?
negative_passages.docid: 40041
negative_passages.text: Proof of Non-Ordering of Complex Field
negative_passages.docid: 137921
negative_passages.text: Reflexivity, Transitivity, Symmertry of the square of an relation