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  2. Cubic pyramid - Wikipedia

    en.wikipedia.org/wiki/Cubic_pyramid

    In 4-dimensional geometry, the cubic pyramid is bounded by one cube on the base and 6 square pyramid cells which meet at the apex. Since a cube has a circumradius divided by edge length less than one, [ 1 ] the square pyramids can be made with regular faces by computing the appropriate height.

  3. Mass–energy equivalence - Wikipedia

    en.wikipedia.org/wiki/Mass–energy_equivalence

    [70] [71] American physical chemists Gilbert N. Lewis and Richard C. Tolman used two variations of the formula in 1909: m = ⁠ E / c 2 ⁠ and m 0 = ⁠ E 0 / c 2 ⁠, with E being the relativistic energy (the energy of an object when the object is moving), E 0 is the rest energy (the energy when not moving), m is the relativistic mass (the ...

  4. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Doubling the cube is the construction, using only a straightedge and compass, of the edge of a cube that has twice the volume of a cube with a given edge. This is impossible because the cube root of 2, though algebraic, cannot be computed from integers by addition, subtraction, multiplication, division, and taking square roots.

  5. Midpoint method - Wikipedia

    en.wikipedia.org/wiki/Midpoint_method

    The midpoint method computes + so that the red chord is approximately parallel to the tangent line at the midpoint (the green line). In numerical analysis, a branch of applied mathematics, the midpoint method is a one-step method for numerically solving the differential equation,

  6. Pyraminx - Wikipedia

    en.wikipedia.org/wiki/Pyraminx

    Pyraminx in its solved state. The Pyraminx (/ ˈ p ɪ r ə m ɪ ŋ k s /) is a regular tetrahedron puzzle in the style of Rubik's Cube.It was made and patented by Uwe Mèffert after the original 3 layered Rubik's Cube by Ernő Rubik, and introduced by Tomy Toys of Japan (then the 3rd largest toy company in the world) in 1981.

  7. Elliptic curve point multiplication - Wikipedia

    en.wikipedia.org/wiki/Elliptic_curve_point...

    Given a curve, E, defined by some equation in a finite field (such as E: y 2 = x 3 + ax + b), point multiplication is defined as the repeated addition of a point along that curve. Denote as nP = P + P + P + … + P for some scalar (integer) n and a point P = (x, y) that lies on the curve, E. This type of curve is known as a Weierstrass curve.

  8. Hilbert's third problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_third_problem

    The formula for the volume of a pyramid, one-third of the product of base area and height, had been known to Euclid. Still, all proofs of it involve some form of limiting process or calculus, notably the method of exhaustion or, in more modern form, Cavalieri's principle. Similar formulas in plane geometry can be proven with more elementary means.

  9. MacCormack method - Wikipedia

    en.wikipedia.org/wiki/MacCormack_method

    In computational fluid dynamics, the MacCormack method (/məˈkɔːrmæk ˈmɛθəd/) is a widely used discretization scheme for the numerical solution of hyperbolic partial differential equations. This second-order finite difference method was introduced by Robert W. MacCormack in 1969. [ 1 ]