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Scouting Knots Are Not the Same Knot...

Sanchez, Andres L.

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Scouting Knots Are Not the Same Knots when Knotted.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Scouting Knots Are Not the Same Knots when Knotted./
Author:	Sanchez, Andres L.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	64 p.
Notes:	Source: Masters Abstracts International, Volume: 83-08.
Contained By:	Masters Abstracts International83-08.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28411179
ISBN:	9798790635229

Scouting Knots Are Not the Same Knots when Knotted.
Sanchez, Andres L.

Scouting Knots Are Not the Same Knots when Knotted. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 64 p.

Source: Masters Abstracts International, Volume: 83-08.

Thesis (M.S.)--Illinois State University, 2021.

Knots are used everyday by all people, mathematicians and non-mathematicians alike. There are certain subsets of people that use knots more frequently than others such as sailors or members of the Scouting Movement. A mathematical knot is a subset of 3-space that is homeomorphic to the unit circle. A knot used in non-mathematical circles is generally considered when two strings, etc. are wrapped around each other, with the ends potentially hanging. We introduce and explain through examples 1) how mathematical knots differ from general knots; 2) how mathematical knots differ from other mathematical knots via methods of deformation, colorability, and polynomials; 3) apply mathematical methods of knot determinations to practical knots to see how practical knots might behave as mathematical knots.

ISBN: 9798790635229Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Invariants

Scouting Knots Are Not the Same Knots when Knotted.
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020 $a 9798790635229
035 $a (MiAaPQ)AAI28411179
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100 1 $a Sanchez, Andres L. $3 3769838
245 1 0 $a Scouting Knots Are Not the Same Knots when Knotted.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 64 p.
500 $a Source: Masters Abstracts International, Volume: 83-08.
500 $a Advisor: Chebolu, Sunil.
502 $a Thesis (M.S.)--Illinois State University, 2021.
520 $a Knots are used everyday by all people, mathematicians and non-mathematicians alike. There are certain subsets of people that use knots more frequently than others such as sailors or members of the Scouting Movement. A mathematical knot is a subset of 3-space that is homeomorphic to the unit circle. A knot used in non-mathematical circles is generally considered when two strings, etc. are wrapped around each other, with the ends potentially hanging. We introduce and explain through examples 1) how mathematical knots differ from general knots; 2) how mathematical knots differ from other mathematical knots via methods of deformation, colorability, and polynomials; 3) apply mathematical methods of knot determinations to practical knots to see how practical knots might behave as mathematical knots.
590 $a School code: 0092.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Applied mathematics. $3 2122814
653 $a Invariants
653 $a Knot Theory
653 $a Knots
653 $a Topology
690 $a 0405
690 $a 0642
690 $a 0364
710 2 $a Illinois State University. $b Department of Mathematics. $3 3343117
773 0 $t Masters Abstracts International $g 83-08.
790 $a 0092
791 $a M.S.
792 $a 2021
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28411179