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Supersilver Ratio
In mathematics, the supersilver ratio is a geometrical aspect ratio, proportion, given by the unique real polynomial root, solution of the equation Its decimal expansion begins as . The name ''supersilver ratio'' results from analogy with the silver ratio, the positive solution of the equation , and the supergolden ratio. Definition Three quantities are in the supersilver ratio if \frac =\frac =\frac The ratio is commonly denoted Substituting a=\varsigma b \, and c=(\varsigma -1)a =(\varsigma^2 -\varsigma)b \, in the third fraction, \varsigma =\frac. It follows that the supersilver ratio is the unique real solution of the cubic equation \varsigma^3 -2\varsigma^2 -1 =0. The Minimal polynomial (field theory), minimal polynomial for the reciprocal root is the depressed cubic x^ +2x -1, thus the simplest solution with Cubic equation#Cardano's formula, Cardano's formula, \begin w_ &=\left( 1 \pm \frac \sqrt \right) /2 \\ 1 /\varsigma &=\sqrt[3] +\sqrt[3] \end or, usin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aspect Ratio
The aspect ratio of a geometry, geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, when the rectangle is oriented as a "landscape format, landscape". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal Fraction (mathematics), fraction. The values x and y do not represent actual widths and heights but, rather, the proportion between width and height. As an example, 8:5, 16:10, 1.6:1, and 1.6 are all ways of representing the same aspect ratio. In objects of more than two dimensions, such as hyperrectangles, the aspect ratio can still be defined as the ratio of the longest side to the shortest side. Applications and uses The term is most commonly used with reference to: * Graphic / image ** Aspect ratio (image), Image aspect ratio ** Display aspect ratio ** Pape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
