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  3. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    A simple application of dimensional analysis to mathematics is in computing the form of the volume of an n-ball (the solid ball in n dimensions), or the area of its surface, the n-sphere: being an n-dimensional figure, the volume scales as x n, while the surface area, being (n − 1)-dimensional, scales as x n−1.

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  5. Buckingham π theorem - Wikipedia

    en.wikipedia.org/wiki/Buckingham_π_theorem

    Although named for Edgar Buckingham, the π theorem was first proved by the French mathematician Joseph Bertrand in 1878. [1] Bertrand considered only special cases of problems from electrodynamics and heat conduction, but his article contains, in distinct terms, all the basic ideas of the modern proof of the theorem and clearly indicates the theorem's utility for modelling physical phenomena.

  6. Play Bird Word Mahjongg Online for Free - AOL.com

    www.aol.com/.../masque-publishing/bird-word-mahjongg

    Bird Word Mahjongg. Solve mahjongg word puzzles in this solitaire word building game from the creators of Lost Island Mahjongg. With over 100 different puzzles and virtually unlimited letter ...

  7. Sanity check - Wikipedia

    en.wikipedia.org/wiki/Sanity_check

    Dimensional analysis may be used as a sanity check of physical equations: the two sides of any equation must be commensurable or have the same dimensions. A person who has calculated the power output of a car to be 700 kJ may have omitted a factor, since the unit joules is a measure of energy, not power (energy per unit time).

  8. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Each packing problem has a dual covering problem, which asks how many of the same objects are required to completely cover every region of the container, where objects are allowed to overlap. In a bin packing problem, people are given: A container, usually a two- or three-dimensional convex region, possibly of infinite size. Multiple containers ...

  9. n-dimensional sequential move puzzle - Wikipedia

    en.wikipedia.org/wiki/N-dimensional_sequential...

    This puzzle is not really a true 2-dimensional analogue of the Rubik's Cube. If the group of operations on a single polytope of an n-dimensional puzzle is defined as any rotation of an (n – 1)-dimensional polytope in (n – 1)-dimensional space then the size of the group, for the 5-cube is rotations of a 4-polytope in 4-space = 8×6×4 = 192,