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2. Scale factor (computer science) - Wikipedia

   en.wikipedia.org/wiki/Scale_factor_(computer...

   In computer science, a scale factor is a number used as a multiplier to represent a number on a different scale, functioning similarly to an exponent in mathematics. A scale factor is used when a real-world set of numbers needs to be represented on a different scale in order to fit a specific number format. Although using a scale factor extends ...

3. Scale factor (cosmology) - Wikipedia

   en.wikipedia.org/wiki/Scale_factor_(cosmology)

   Scale factor (cosmology) The expansion of the universe is parametrized by a dimensionless scale factor . Also known as the cosmic scale factor or sometimes the Robertson–Walker scale factor, [1] this is a key parameter of the Friedmann equations . In the early stages of the Big Bang, most of the energy was in the form of radiation, and that ...

4. Scaling (geometry) - Wikipedia

   en.wikipedia.org/wiki/Scaling_(geometry)

   Scaling (geometry) In affine geometry, uniform scaling (or isotropic scaling [1]) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions. The result of uniform scaling is similar (in the geometric sense) to the original. A scale factor of 1 is normally allowed ...

5. Mercator projection - Wikipedia

   en.wikipedia.org/wiki/Mercator_projection

   One implication of that is the "isotropy of scale factors", which means that the point scale factor is independent of direction, so that small shapes are preserved by the projection. This implies that the vertical scale factor, h, equals the horizontal scale factor, k. Since k = sec φ, so must h.

6. Parabolic coordinates - Wikipedia

   en.wikipedia.org/wiki/Parabolic_coordinates

   The scale factors for the parabolic coordinates (,) are equal = = + Hence, the infinitesimal element of area is = (+) and the Laplacian equals = + (+) Other differential operators such as and can be expressed in the coordinates (,) by substituting the scale factors into the general formulae found in orthogonal coordinates.

7. Scale invariance - Wikipedia

   en.wikipedia.org/wiki/Scale_invariance

   The Wiener process is scale-invariant. In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality. The technical term for this transformation is a dilatation (also known as ...