Silver ratio - Wikipedia
In mathematics, the silver ratio is a geometrical proportion close to 70/29. Its exact value is 1 + √2, the positive solution of the equation x 2 = 2x + 1. The name silver ratio results from analogy with the golden ratio, the positive solution of the equation x 2 = x + 1.
Silver Ratio -- from Wolfram MathWorld
2024年12月18日 · The silver ratio is the quantity defined by the continued fraction delta_S = [2,2,2,...] (1) = 2+1/(2+1/(2+1/(2+...))) (2) (Wall 1948, p. 24). It follows that (delta_S-1)^2=2, (3) so delta_S=sqrt(2)+1=2.41421... (4) (OEIS A014176).
白银比例 - 百度百科
白银分割率是一个无理数的数学常数，符号δS，定义为以下的数值：√2:1又称白银比例、白银分割，白银比例的命名和黄金比例类似，斐波那契数列前一项和后一项的比值会趋近黄金比例，而佩尔数列后一项和前一项的比值会趋近白银比例。 白银比例和2的算术平方根、三角平方数、佩尔数及正八边形都有关系，希腊时期的数学家就已开始研究白银分割率，但当时没有为此一数值命名。
Golden Ratio Vs Silver Ratio - The Golden Ratio - Math Ratios
2020年1月30日 · The golden ratio is the metallic mean between 1 and 2, the silver ratio represents the metallic mean between 2 and 3, and so forth, all the way to the fermium ratio (between 100 and 101—I...
Silver Ratio Calculator - Good Calculators
You can use this Silver Ratio Calculator to quickly and easily use the Silver Ratio to identify a missing value. How to use the calculator: Input either the width (A) or the length (B). Click on the "Calculate" button to compute the missing value.
Silver ratio
In mathematics, two quantities are in the silver ratio (also silver mean or silver constant) if the ratio of the sum of the smaller and twice the larger of those quantities, to the larger
Metallic ratios - Rosetta Code
2024年12月21日 · With b set to 2, we get a different irrational number: the Silver ratio. ( 2 + √(2 2 + 4) ) / 2 = (2 + √8) / 2 = ~2.414213562... When the ratio b is 3 , it is commonly referred to as the Bronze ratio, 4 and 5 are sometimes called the Copper and …
Silver Ratio. Unveiling Elegance: The Enigmatic… | by YASH …
2024年3月9日 · Similar to the Golden Ratio, the Silver Ratio is an irrational number denoted by the Greek letter δ (delta). Its approximate value is 2.4142. The Silver Ratio is defined by the property that,...
algebra precalculus - Generalizations of the golden and silver …
This paper (The Generalizations of the Golden Ratio: Their Powers, Continued Fractions, and Convergents, pdf) proposes alternative way of defining silver means and related numbers and sequences. Golden ratio can be defined as a continued fraction as follows: $$1+\cfrac1{1 + \cfrac1{1 + \cfrac1{\cdots}}}=\cfrac{1+\sqrt5}{2}=\phi$$ Silver ratio ...
Metallic numbers: Beyond the golden ratio | plus.maths.org
2020年1月29日 · You've heard of the golden ratio but have you heard of the silver ratio? And all its other cousins called the metallic numbers? Read this article to meet the family!