Define Golden Section
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Other names include extreme and mean ratio medial section divine proportion latin.
Define golden section. Golden section a proportion based on the golden ratio sense. Also called golden ratio. It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment.
A ratio between two portions of a line or the two dimensions of a plane figure in which the lesser of the two is to the greater as the greater is to the sum of both. The method operates by successively narrowing the range of values on the specified interval whic. Proportio divina divine section latin.
The golden section brings together principles of aesthetics and mathematics to explain why symmetrical compositions are pleasing to the eye. If the only extremum on the interval is on a boundary of the interval it will converge to that boundary point. Many patterns found in nature like the organic growth.
A proportion such as one involving a line divided into two segments or the length and width of a rectangle and their sum in which the ratio of the whole to the larger part is the same as the ratio of the larger part to the smaller first known use of golden section 1820 in the meaning defined above. A ratio observed especially in the fine arts between the two dimensions of a plane figure or the two divisions of a line such that the smaller is to the larger as the larger is to the sum of the two a ratio of roughly three to five. Held to be detectable in nature classical architecture renaissance.
For a strictly unimodal function with an extremum inside the interval it will find that extremum while for an interval containing multiple extrema it will converge to one of them. The golden section search is a technique for finding an extremum of a function inside a specified interval. The golden ratio is also called the golden mean or golden section latin.
Golden ratio sense. Golden section noun fine arts mathematics. Sectio divina golden proportion golden cut and golden number.
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