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  2. Social cycle theory - Wikipedia

    en.wikipedia.org/wiki/Social_cycle_theory

    Social cycle theories are among the earliest social theories in sociology.Unlike the theory of social evolutionism, which views the evolution of society and human history as progressing in some new, unique direction(s), sociological cycle theory argues that events and stages of society and history generally repeat themselves in cycles.

  3. Cyclic number (group theory) - Wikipedia

    en.wikipedia.org/wiki/Cyclic_number_(group_theory)

    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 …

  4. Graves's emergent cyclical levels of existence - Wikipedia

    en.wikipedia.org/wiki/Graves's_emergent_cyclical...

    For most of Graves's original period of research, GT was the latest state to appear. Near the end, a small number of subjects expressing GT in his study shifted to a new state, HU. This emergence, seven or so years into his experiment, of a rare new system is what prompted Graves to view the set of states as open-ended, with no final, ultimate ...

  5. Cyclical history - Wikipedia

    en.wikipedia.org/wiki/Cyclical_history

    Download as PDF; Printable version ... Cyclic history or Cyclical history may refer to : Social cycle theory; Cycle of ... Text is available under the ...

  6. Strange loop - Wikipedia

    en.wikipedia.org/wiki/Strange_loop

    A strange loop is a hierarchy of levels, each of which is linked to at least one other by some type of relationship. A strange loop hierarchy is "tangled" (Hofstadter refers to this as a "heterarchy"), in that there is no well defined highest or lowest level; moving through the levels, one eventually returns to the starting point, i.e., the original level.

  7. Strauss–Howe generational theory - Wikipedia

    en.wikipedia.org/wiki/Strauss–Howe_generational...

    They are part of a larger cyclical "saeculum" (a long human life, which usually spans around 85 years, although some saecula have lasted longer). The theory states that a crisis recurs in American history after every saeculum, which is followed by a recovery (high).

  8. Cyclic permutation - Wikipedia

    en.wikipedia.org/wiki/Cyclic_permutation

    A cyclic permutation consisting of a single 8-cycle. There is not widespread consensus about the precise definition of a cyclic permutation. Some authors define a permutation σ of a set X to be cyclic if "successive application would take each object of the permuted set successively through the positions of all the other objects", [1] or, equivalently, if its representation in cycle notation ...

  9. Cyclic number - Wikipedia

    en.wikipedia.org/wiki/Cyclic_number

    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...