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And the other three binary-expansion repeating sequences give the 3-cycle 110110110... → 101101101... → 011011011... → 110110110.... Either of these 3-cycles can be converted to fraction form: for example, the first-given 3-cycle can be written as 1 / 7 → 2 / 7 → 4 / 7 → 1 / 7 .
The base "Roman fraction" is S, indicating 1 ⁄ 2. The use of S (as in VIIS to indicate 7 1 ⁄ 2 ) is attested in some ancient inscriptions [ 45 ] and also in the now rare apothecaries' system (usually in the form SS ): [ 44 ] but while Roman numerals for whole numbers are essentially decimal , S does not correspond to 5 ⁄ 10 , as one might ...
The convergents of the continued fraction for φ are ratios of successive Fibonacci numbers: φ n = F n+1 / F n is the n-th convergent, and the (n + 1)-st convergent can be found from the recurrence relation φ n+1 = 1 + 1 / φ n. [31] The matrix formed from successive convergents of any continued fraction has a determinant of +1 or −1.
In simple words, we can say that the partial pressure of a gas in vapour phase is directly proportional to the mole fraction of a gas in solution. An example where Henry's law is at play is the depth-dependent dissolution of oxygen and nitrogen in the blood of underwater divers that changes during decompression, going to decompression sickness.
For example, Arabic is sometimes considered a single language centred on Modern Standard Arabic, other authors consider its mutually unintelligible varieties separate languages. [1] Similarly, Chinese is sometimes viewed as a single language because of a shared culture and common literary language. [ 2 ]
For example, the euro sign € is based on ϵ, an archaic form of the Greek epsilon, to represent Europe; [4] the Indian rupee sign ₹ is a blend of the Latin letter 'R' with the Devanagari letter र ; [5] and the Russian Ruble sign ₽ is based on Р (the Cyrillic capital letter 'er').
The Pareto principle may apply to fundraising, i.e. 20% of the donors contributing towards 80% of the total. The Pareto principle (also known as the 80/20 rule, the law of the vital few and the principle of factor sparsity [1] [2]) states that for many outcomes, roughly 80% of consequences come from 20% of causes (the "vital few").
Examples include "Vietnamese", describing a person from Vietnam; "Detroiter" for a person from the city of Detroit, Michigan; and "Macedonian" for a person from North Macedonia or the wider historical region of Macedonia. denudation The uncovering of deeper layers of rock by any natural process, e.g. erosion, weathering, or mass movement. [4]