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  2. File:VOLUME OF CONE BY INTEGRATION.pdf - Wikipedia

    en.wikipedia.org/wiki/File:VOLUME_OF_CONE_BY...

    File:VOLUME OF CONE BY INTEGRATION.pdf. Add languages. Page contents not supported in other languages. ... Version of PDF format: 1.4: Page size: 595 x 842 pts (A4)

  3. Finite volume method for two dimensional diffusion problem

    en.wikipedia.org/wiki/Finite_volume_method_for...

    The face areas in y two dimensional case are : = = and = =. We obtain the distribution of the property i.e. a given two dimensional situation by writing discretized equations of the form of equation (3) at each grid node of the subdivided domain.

  4. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    The disk-shaped cross-sectional area of the sphere is equal to the ring-shaped cross-sectional area of the cylinder part that lies outside the cone. If one knows that the volume of a cone is (), then one can use Cavalieri's principle to derive the fact that the volume of a sphere is , where is the radius.

  5. Conic optimization - Wikipedia

    en.wikipedia.org/wiki/Conic_optimization

    Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine subspace and a convex cone. The class of conic optimization problems includes some of the most well known classes of convex optimization problems, namely linear and semidefinite programming.

  6. Hypercone - Wikipedia

    en.wikipedia.org/wiki/Hypercone

    If it is restricted between the hyperplanes w = 0 and w = r for some nonzero r, then it may be closed by a 3-ball of radius r, centered at (0,0,0,r), so that it bounds a finite 4-dimensional volume. This volume is given by the formula ⁠ 1 / 3 ⁠ π r 4, and is the 4-dimensional equivalent of the solid cone. The ball may be thought of as the ...

  7. Godunov's scheme - Wikipedia

    en.wikipedia.org/wiki/Godunov's_scheme

    In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by Sergei Godunov in 1959, [1] for solving partial differential equations. One can think of this method as a conservative finite volume method which solves exact, or approximate Riemann problems at each inter-cell boundary.

  8. Spherical sector - Wikipedia

    en.wikipedia.org/wiki/Spherical_sector

    If the radius of the sphere is denoted by r and the height of the cap by h, the volume of the spherical sector is =. This may also be written as V = 2 π r 3 3 ( 1 − cos ⁡ φ ) , {\displaystyle V={\frac {2\pi r^{3}}{3}}(1-\cos \varphi )\,,} where φ is half the cone aperture angle, i.e., φ is the angle between the rim of the cap and the ...

  9. Second-order cone programming - Wikipedia

    en.wikipedia.org/wiki/Second-order_cone_programming

    A second-order cone program (SOCP) is a convex optimization problem of the form . minimize subject to ‖ + ‖ +, =, …, = where the problem parameters are ...