Examples of 'knot theory' in a sentence

Meaning of "knot theory"

Knot theory is a field of mathematical study that focuses on the mathematical analysis of knots. Knots, in this context, are defined as closed loops or curves in three-dimensional space that are formed by twisting or entangling strands. Knot theory has applications in various branches of mathematics and physics, including topology and quantum physics
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  • A branch of topology dealing with knots.

How to use "knot theory" in a sentence

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knot theory
He specializes in a branch of mathematics called knot theory.
Knot theory is the recent mathematical study of unknots.
Double torus knots are studied in knot theory.
Knot theory greatly expanded.
He specializes in a branch called knot theory.
His interests include knot theory and algebraic topology.
He is best known for his work in knot theory.
Formal knot theory.
His research interests include topology and knot theory.
One of the fundamental problems in knot theory is to distinguish knots.
In particular this generalizes some results known in virtual knot theory.
Called knot theory.
These aforementioned invariants are only the tip of the iceberg of modern knot theory.
This opened up avenues of research linking knot theory and statistical mechanics.
His work on knot theory contributed to the eventual formation of topology as a mathematical discipline.

See also

We specialise in knot theory.
See knot theory for an example computing the Conway polynomial of the trefoil.
This opened up an unexpected connection between knot theory and quantum gravity.
Traditional knot theory models a knot as a simple closed loop in three-dimensional space.
The average crossing number is often seen in the context of physical knot theory.
A major focus of knot theory is to determine whether two different-looking knots are homeomorphic.
Braids were first considered as a tool of knot theory by Alexander.
Therefore, a fundamental problem in knot theory is determining when two descriptions represent the same knot.
The theory of subfactors led to the discovery of the Jones polynomial in knot theory.
Topology, and knot theory in particular, accounts for why Alexander Magnus needed his sword.
John Edwin Luecke is an American mathematician who works in topology and knot theory.
Low-dimensional including knot theory and connections with Kleinian groups and Teichmüller theory.
Joan Birman mentions in her paper New points of view in knot theory Bull.
I thought gordian knot theory was the ' in'thing.
He is also well known for fundamental contributions to high-dimensional knot theory.
Luecke specializes in knot theory and 3-manifolds.
As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory.
I thought gordian knot theory was the ' in ' thing.
What do they want with a mathematician? He specializes in a branch of mathematics called knot theory.
Her research concerns low-dimensional topology, including knot theory and category-theoretic knot invariants.
The Knot Atlas is a website, an encyclopedia rather than atlas, dedicated to knot theory.
In knot theory and 3-manifold theory, often the adjective " tame " is omitted.
Beyond tiling, her research interests include knot theory and combinatorics.
His doctoral dissertation, Asphericity of Alternating Linkages, concerned knot theory.
Category, Knot theory.
This gives the subject a different flavour than co-dimension 2 knot theory.
Abstract, This thesis deals with interactions between knot theory and dynamical systems.
Louis H. Kauffman is author of several monographs on knot theory and mathematical physics.
His major contributions were on abelian groups, algebraic numbers, knot theory and Sturm-Liouville theory.

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Examples of using Theory
You had a theory about a missing pilot
They are forcing me to continue with string theory
A comprehensive theory of action accompanied the report
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Examples of using Knot
There was a knot right here with my nest in it
Be very careful when trying to remove a knot
Make a knot as shown to retain extension cord
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