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  2. List of rail transport modelling scale standards - Wikipedia

    en.wikipedia.org/wiki/List_of_rail_transport...

    1:12: 4 + 3 ⁄ 4 in (121 mm) North America specific scale corresponding to NMRA 1-inch scale. 1:12 is one of the most popular backyard railway scales. -1:11: 5 in (127 mm) Used outside North America. Corresponds to NEM V. One of the most popular garden railway scales. Common gauge for live steam-1:8: 7 + 1 ⁄ 4 in (184 mm)

  3. Orders of magnitude (length) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(length)

    The picometre (SI symbol: pm) is a unit of length in the metric system equal to 10 −12 metres (⁠ 1 / 1 000 000 000 000 ⁠ m = 0. 000 000 000 001 m). To help compare different orders of magnitude this section lists lengths between 10 −12 and 10 −11 m (1 pm and 10 pm).

  4. List of scale model sizes - Wikipedia

    en.wikipedia.org/wiki/List_of_scale_model_sizes

    Models which are commonly made in scale at 1:150 are commercial airliners - such as the Airbus A320, Boeing 777 all the way to the jumbo jets - the Airbus A380 & Boeing 747. [8] 1:148: 2.059 mm: Model railways (British N) British N model railroad scale. 1:144: 112 in: 2.117 mm HOO scale - Popular for ships, aircraft, rockets, spacecraft.

  5. 1:12 scale - Wikipedia

    en.wikipedia.org/wiki/1:12_scale

    The 1:12 scale is a traditional scale (ratio) for models and miniatures. In this scale (ratio), one inch on the scale model or miniature is equal to twelve inches on the original object being copied. Depending on the application, this particular scale (ratio) is also called one-scale (since 1 inch equals 1 foot). [1]

  6. Rail transport modelling scales - Wikipedia

    en.wikipedia.org/.../Rail_transport_modelling_scales

    Narrow-gauge models in this gauge can be as large as 1:3 scale. 5-inch Live steam: 1:12: 127 mm or 121 mm Ridable, outdoor gauge. The gauge is 5 in (127 mm) in Europe, but 4 + 3 ⁄ 4 in (121 mm) in US and Canada. For standard gauge prototypes at 5 inch, the correct scale is 1 1 ⁄ 16 inch per foot or approximately 1:11.3. Alternatively 1.1/8 ...

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  8. AM–GM inequality - Wikipedia

    en.wikipedia.org/wiki/AM–GM_inequality

    Proof without words of the AMGM inequality: PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. Visual proof that (x + y) 2 ≥ 4xy. Taking square roots and dividing by two gives the AM ...

  9. Order of magnitude - Wikipedia

    en.wikipedia.org/wiki/Order_of_magnitude

    Order of magnitude is a concept used to discuss the scale of numbers in relation to one another. Two numbers are "within an order of magnitude" of each other if their ratio is between 1/10 and 10. In other words, the two numbers are within about a factor of 10 of each other. [1] For example, 1 and 1.02 are within an order of magnitude.