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A scale model of a hydropower turbine. A scale model is a physical model that is geometrically similar to an object (known as the prototype). Scale models are generally smaller than large prototypes such as vehicles, buildings, or people; but may be larger than small prototypes such as anatomical structures or subatomic particles.
The scale ratio of a model represents the proportional ratio of a linear dimension of the model to the same feature of the original. Examples include a 3-dimensional scale model of a building or the scale drawings of the elevations or plans of a building. [1] In such cases the scale is dimensionless and exact throughout the model or drawing.
A scale factor of 1 is normally allowed, so that congruent shapes are also classed as similar. Uniform scaling happens, for example, when enlarging or reducing a photograph, or when creating a scale model of a building, car, airplane, etc. More general is scaling with a separate scale factor for each axis direction.
Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original; Scale factor, a number which scales, or multiplies, some quantity; Long and short scales, how powers of ten are named and grouped in large numbers; Scale parameter, a description of the spread or dispersion of a probability distribution
A mathematical model is an abstract description of ... and/or analyzed at a different scale and the results obtained will remain valid for the initial problem when ...
Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape. The non-trivial similarity evident in fractals is ...
Articles related to scale models, physical models of an object that maintain accurate relationships between its important aspects, although absolute values of the original properties need not be preserved. This enables the model to demonstrate some behavior or property of the original object without examining the original object itself.
Scale analysis (or order-of-magnitude analysis) is a powerful tool used in the mathematical sciences for the simplification of equations with many terms. First the approximate magnitude of individual terms in the equations is determined.