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  2. Band diagram - Wikipedia

    en.wikipedia.org/wiki/Band_diagram

    Band diagram for Schottky barrier at equilibrium Band diagram for semiconductor heterojunction at equilibrium. In solid-state physics of semiconductors, a band diagram is a diagram plotting various key electron energy levels (Fermi level and nearby energy band edges) as a function of some spatial dimension, which is often denoted x. [1]

  3. Klein bottle - Wikipedia

    en.wikipedia.org/wiki/Klein_bottle

    A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.

  4. Electronic band structure - Wikipedia

    en.wikipedia.org/wiki/Electronic_band_structure

    To understand how band structure changes relative to the Fermi level in real space, a band structure plot is often first simplified in the form of a band diagram. In a band diagram the vertical axis is energy while the horizontal axis represents real space. Horizontal lines represent energy levels, while blocks represent energy bands.

  5. Smith chart - Wikipedia

    en.wikipedia.org/wiki/Smith_chart

    A generalization of the Smith chart to a three dimensional sphere, based on the extended complex plane (Riemann sphere) and inversive geometry, was proposed by Muller, et al in 2011. [ 26 ] The chart unifies the passive and active circuit design on little and big circles on the surface of a unit sphere, using a stereographic conformal map of ...

  6. Frieze group - Wikipedia

    en.wikipedia.org/wiki/Frieze_group

    Thus there are two degrees of freedom for group 1, three for groups 2, 3, and 4, and four for groups 5, 6, and 7. For two of the seven frieze groups (groups 1 and 4) the symmetry groups are singly generated , for four (groups 2, 3, 5, and 6) they have a pair of generators, and for group 7 the symmetry groups require three generators.

  7. List of chaotic maps - Wikipedia

    en.wikipedia.org/wiki/List_of_chaotic_maps

    3: 3: Not topologically conjugate to the Lorenz attractor. Chen-Celikovsky system [10] continuous: real: 3 "Generalized Lorenz canonical form of chaotic systems" Chen-LU system [11] continuous: real: 3: 3: Interpolates between Lorenz-like and Chen-like behavior. Chen-Lee system: continuous: real: 3: Chossat-Golubitsky symmetry map: Chua circuit ...

  8. Tridiagonal matrix - Wikipedia

    en.wikipedia.org/wiki/Tridiagonal_matrix

    A tridiagonal matrix is a matrix that is both upper and lower Hessenberg matrix. [2] In particular, a tridiagonal matrix is a direct sum of p 1-by-1 and q 2-by-2 matrices such that p + q/2 = n — the dimension of the tridiagonal.

  9. Fractal-generating software - Wikipedia

    en.wikipedia.org/wiki/Fractal-generating_software

    Most of the above programs make two-dimensional fractals, with a few creating three-dimensional fractal objects, such as mandelbulbs and mandelboxes. Mandelbulber is an experimental, cross platform open-source program that generates three-dimensional fractal images. [27] Mandelbulber is adept at producing 3D animations. [28]