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  2. Shell integration - Wikipedia

    en.wikipedia.org/wiki/Shell_integration

    Shell integration (the shell method in integral calculus) is a method for calculating the volume of a solid of revolution, when integrating along an axis perpendicular to the axis of revolution. This is in contrast to disc integration which integrates along the axis parallel to the axis of revolution.

  3. Solid of revolution - Wikipedia

    en.wikipedia.org/wiki/Solid_of_revolution

    Two common methods for finding the volume of a solid of revolution are the disc method and the shell method of integration.To apply these methods, it is easiest to draw the graph in question; identify the area that is to be revolved about the axis of revolution; determine the volume of either a disc-shaped slice of the solid, with thickness δx, or a cylindrical shell of width δx; and then ...

  4. Shellsort - Wikipedia

    en.wikipedia.org/wiki/Shellsort

    Swapping pairs of items in successive steps of Shellsort with gaps 5, 3, 1. Shellsort, also known as Shell sort or Shell's method, is an in-place comparison sort.It can be understood as either a generalization of sorting by exchange (bubble sort) or sorting by insertion (insertion sort). [3]

  5. Shell balance - Wikipedia

    en.wikipedia.org/wiki/Shell_Balance

    Shell balances can be used in many situations. For example, flow in a pipe, the flow of multiple fluids around each other, or flow due to pressure difference. Although terms in the shell balance and boundary conditions will change, the basic set up and process is the same.

  6. VSEPR theory - Wikipedia

    en.wikipedia.org/wiki/VSEPR_theory

    The difference between lone pairs and bonding pairs may also be used to rationalize deviations from idealized geometries. For example, the H 2 O molecule has four electron pairs in its valence shell: two lone pairs and two bond pairs. The four electron pairs are spread so as to point roughly towards the apices of a tetrahedron.

  7. Unrestricted Hartree–Fock - Wikipedia

    en.wikipedia.org/wiki/Unrestricted_Hartree–Fock

    Unrestricted Hartree–Fock (UHF) theory is the most common molecular orbital method for open shell molecules where the number of electrons of each spin are not equal. While restricted Hartree–Fock theory uses a single molecular orbital twice, one multiplied by the α spin function and the other multiplied by the β spin function in the Slater determinant, unrestricted Hartree–Fock theory ...

  8. Disc integration - Wikipedia

    en.wikipedia.org/wiki/Disc_integration

    Disc integration, also known in integral calculus as the disc method, is a method for calculating the volume of a solid of revolution of a solid-state material when integrating along an axis "parallel" to the axis of revolution. This method models the resulting three-dimensional shape as a stack of an infinite number of discs of varying radius ...

  9. Shell model - Wikipedia

    en.wikipedia.org/wiki/Shell_model

    Shell model can mean: Nuclear shell model, how protons and neutrons are arranged in an atom nucleus; Electron shell, how electrons are arranged in an atom or molecule;