Curves

Linking number

In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other. In Euclidean space, the linking number is always an integer, but may be positive or negative depending on the orientation of the two curves (this is not true for curves in most 3-manifolds, where linking numbers can also be fractions or just not exist at all). The linking number was introduced by Gauss in the form of the linking integral. It is an important object of study in knot theory, algebraic topology, and differential geometry, and has numerous applications in mathematics and science, including quantum mechanics, electromagnetism, and the study of DNA supercoiling. (Wikipedia).

Linking number
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Dividing Complex Numbers Example Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys

From playlist Complex Numbers

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From playlist Binary Numbers

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From playlist Intro to Complex Numbers

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From playlist Mathematics

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From playlist Mathematics

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Related pages

Regular homotopy | Line integral | Whitehead link | 3-sphere | Milnor invariants | Seifert–Van Kampen theorem | Regularization (physics) | Jacobian matrix and determinant | DNA supercoil | Homotopy | Invariant (mathematics) | 3-manifold | Chirality (mathematics) | Topological quantum number | Unit sphere | Massey product | Algebraic topology | Linkless embedding | Carl Friedrich Gauss | Self-linking number | Three-dimensional space | Group isomorphism | Curve | Topological quantum field theory | Link (knot theory) | Renormalization | Torus | Closed manifold | Immersion (mathematics) | Cup product | Homology (mathematics) | Mathematics | Integer | Euclidean space | Forbidden graph characterization | Winding number | Petersen family | Quantum entanglement | Fundamental group | Manifold | Differential geometry | Degree of a continuous mapping | Curve orientation | Mirror image | Algorithm | Image (mathematics) | Right-hand rule | Knot theory