Formal Definition
A knot is an embedding of the circle (S1) into three-dimensional Euclidean space (E3). Two knots are defined to be equivalent if there is an ambient isotopy between them.
Read more about this topic: Knot (mathematics)
Famous quotes containing the words formal and/or definition:
“The bed is now as public as the dinner table and governed by the same rules of formal confrontation.”
—Angela Carter (19401992)
“The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.”
—William James (18421910)