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Cyclic numbers are related to the recurring digital representations of unit fractions. A cyclic number of length L is the digital representation of 1/(L + 1). Conversely, if the digital period of 1/p (where p is prime) is p − 1, then the digits represent a cyclic number. For example: 1/7 = 0.142857 142857...
A cyclic number [1] [2] is a natural number n such that n and φ(n) are coprime. Here φ is Euler's totient function. An equivalent definition is that a number n is cyclic if and only if any group of order n is cyclic. [3] Any prime number is clearly cyclic. All cyclic numbers are square-free. [4] Let n = p 1 p 2 …
In biology, a biological life cycle (or just life cycle when the biological context is clear) is a series of stages of the life of an organism, that begins as a zygote, often in an egg, and concludes as an adult that reproduces, producing an offspring in the form of a new zygote which then itself goes through the same series of stages, the ...
A number n is called a cyclic number if Z/nZ is the only group of order n, which is true exactly when gcd(n, φ(n)) = 1. [13] The sequence of cyclic numbers include all primes, but some are composite such as 15. However, all cyclic numbers are odd except 2. The cyclic numbers are:
The 15-crown-5 crown ether, a cyclic oligomer, and its monomer, ethylene oxide.. In chemistry and biochemistry, an oligomer (/ ə ˈ l ɪ ɡ ə m ər / ⓘ) is a molecule that consists of a few repeating units which could be derived, actually or conceptually, from smaller molecules, monomers.
The CyBase database collects proteins that are cyclic, some of which are permuted variants of cyclic wild-type proteins. [10] SISYPHUS is a database that contains a collection of hand-curated manual alignments of proteins with non-trivial relationships, several of which have circular permutations. [11]
cAMP represented in three ways Adenosine triphosphate. Cyclic adenosine monophosphate (cAMP, cyclic AMP, or 3',5'-cyclic adenosine monophosphate) is a second messenger, or cellular signal occurring within cells, that is important in many biological processes. cAMP is a derivative of adenosine triphosphate (ATP) and used for intracellular signal transduction in many different organisms ...
Cyclic history, a theory of history; Cyclical theory, a theory of American political history associated with Arthur Schlesinger, Sr. Social cycle, various cycles in social sciences Business cycle, the downward and upward movement of gross domestic product (GDP) around its ostensible, long-term growth trend