golden section


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golden section

A division in a line such that the proportion of the whole to the larger area is equal to the proportion of the larger area to the smaller one. The mathematical golden section has been employed in all manner of things, not the least in art, architecture, and even philosophy.
See also: golden, section

the golden section

the division of a line so that the whole is to the greater part as that part is to the smaller part.
This is a mathematical term for a proportion known since the 4th century and mentioned in the works of the Greek mathematician Euclid. It has been called by several names, but the mid 19th-century German one goldene Schnitt , translating Latin sectio aurea , has given rise to the current English term.
See also: golden, section
References in periodicals archive ?
Golden section search is an optimization technique that can be used to find the maximum or minimum value of a single unimodal function.
The generalizated principle of the golden section and its applications in mathematics science and egineering.
At the moment we can only state that main maxima in this distribution must corresponds to co-called golden section (10).
mws for implementing the Golden Section minimization and the direct solution of S'(k) = 0.
If you want to see the Golden Section in action, you don't need to visit the Parthenon and observe its perfect facade.
I see geometry and the golden section in beer pumps and repeated in dogs' hind legs.
The golden section method requires no information about the derivative of the function.
Lupton's description of the Golden Section is fascinating.
The book's subtitle is 'Beyond Phi', Phi being of course a way of referring to the so-called Golden Section, basis for the production of proportional equivalences between quantities of ascending or descending magnitudes.
If you're a builder who cares as much about scale as you do about sales, but feels architecturally challenged to improve proportion, consider the Golden Section formula developed by the Greek philosopher Pythagoras back in 500 B.
Click on 66 and, following a brief period, measured by a horizontally sliding bar mapping loading time, up pops a Golden Section box with a square image of this New York restaurant on the left and the explanatory text in sans serif on the right.
The Golden Section Labs has released WinOrganizer v.
The five ability estimation procedures included maximum likelihood, modal a posteriori (MAP), golden section search (GSS), and two procedures proposed in this study.
The Golden Section by Pernille Rygg (Harvill Press, pounds 10)