Triple bowline larger than the two equal-sized loops. The size of the third loop depends on the length of the bight pulled through the loop. A bowline on the bight is a similar knot to the triple bowline. Instead of wrapping the bight around the standing end and then passing it back through the nipping loop, the two loops are passed through the bight so that it tightens on the standing end. It has only two active or available loops. This is used in rescue situations, especially in a case where there might be an injured person or people, as it forms
Signature of a knot represented as a "2g"-by-"2g" Seifert matrix "V", formula_7. The signature of the matrix formula_8, thought of as a symmetric bilinear form, is the signature of the knot "K". Slice knots are known to have zero signature. Knot signatures can also be defined in terms of the Alexander module of the knot complement. Let formula_9 be the universal abelian cover of the knot complement. Consider the Alexander module to be the first homology group of the universal abelian cover of the knot complement: formula_10. Given a formula_11-module formula_12, let formula_13 denote the formula_11-module whose underlying formula_15-module is formula_12 but where formula_17