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:
“I will not let him stir
Till I have used the approvèd means I have,
With wholesome syrups, drugs, and holy prayers,
To make of him a formal man again.”
—William Shakespeare (15641616)
“Was man made stupid to see his own stupidity?
Is God by definition indifferent, beyond us all?
Is the eternal truth mans fighting soul
Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)