Has anyone here had experience with Knot Theory? If so, try to unknot some of these (try not to look at the solutions):
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What do you know about knot theory? If you know knot theory, perhaps I'll let you answer some of my Precalculus questions and give other tutors a break. Share your knowledge of knot theory with us. What is the name of the course that covers this theory?
Who is the creator of knot theory? What is the purpose in life of this theory? Why would anyone want to study knot theory?
What do you know about knot theory? If you know knot theory, perhaps I'll let you answer some of my Precalculus questions and give other tutors a break. Share your knowledge of knot theory with us. What is the name of the course that covers this theory?
Who is the creator of knot theory? What is the purpose in life of this theory? Why would anyone want to study knot theory?
I think the important question is, what does it mean to "unknot" one of these? Apparently you got the image from a source that has answers; does it also explain what it means? Can you tell us the source?Has anyone here had experience with Knot Theory? If so, try to unknot some of these (try not to look at the solutions):
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I'm not quite sure how to respond to this.
But, here goes:
Knot theory is a math branch of topology, the point of which is basically figuring out whether a mess of a tangles is just a mess, or a real knot that can't be unknotted. The tabular organization of these "planar diagrams," so to speak, is how scientists can use the data practically.
There are few practical applications, but they make fun paradoxes and practice problems. One of the applications is the structure of cells.
Carl Frederich Gauss created knot theory.
Whether the answer was copied/pasted - does not matter. You asked - "Who is the creator of knot theory? What is the purpose in life of this theory?" - and he answered. This is not a test in an academic course! Why are you being so "disagreeable"?Did you paste and copy this reply? Do you really know topology?
My MathWorld link (post #6) in effect gives the answers, and apparently is related to what the question was. But I, too, am still waiting to see where the image and question (about unknotting them) came from, where the solutions are that we were told not to look at, and, most importantly, what the question really is! It isn't clear what the OP knows, or wants to know.
The image is found in several places, including Wikipedia; but none that I have found talk about unknotting a knot. Another source, which has a good overview of the basics (more than I know), is https://girlstalkmath.com/2018/07/02/knot-theory-2/. Yet another is https://www.wikiwand.com/en/Knot_(mathematics).
@firemath, why haven't you helped clarify your question, but force us to try to figure out what your point was?
Who are these two people (plural) you are referring to?I'm waiting for Mr. Topologist to go deep into knot theory. Great to know that he has extensive math knowledge. I may need help with my self-study of Precalculus every now and then. You know, give MarkFL a little break??? So, Mr. Knot Theory, can you help me with graphing techniques aka transformation of graphs? Look over here=======> JUST KIDDING....
I am rather stuck on 6 base 2.The first one I find challenging is [MATH]6_3[/MATH]. How about you?
Try wikipedia.What is the purpose in life of this theory? Why would anyone want to study knot theory?
Come, come, harpazo. No need to flame.I'm waiting for Mr. Topologist to go deep into knot theory. Great to know that he has extensive math knowledge. I may need help with my self-study of Precalculus every now and then. You know, give MarkFL a little break??? So, Mr. Knot Theory, can you help me with graphing techniques aka transformation of graphs? Look over here=======> JUST KIDDING....