eated by connecting NW and NE strands to ch other and connecting SW and SE strands gether. C^ may be a knot, but can be a link th more than 1 part. Suppose that C is a tional a b tangle for integers a and b. Prove at C^ is a knot iff at least one of integers a or b even?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given a tangle C, let C^ be a knot or link that is
created by connecting NW and NE strands to
each other and connecting SW and SE strands
together. C^ may be a knot, but can be a link
with more than 1 part. Suppose that C is a
rational a b tangle for integers a and b. Prove
that C^ is a knot iff at least one of integers a or b
is even?
Transcribed Image Text:Given a tangle C, let C^ be a knot or link that is created by connecting NW and NE strands to each other and connecting SW and SE strands together. C^ may be a knot, but can be a link with more than 1 part. Suppose that C is a rational a b tangle for integers a and b. Prove that C^ is a knot iff at least one of integers a or b is even?
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