Time Interval Period

A Time Interval Period is a temporal entity that represents a bounded duration with a definite beginning and definite ending (forming a contiguous subsequence of time).

• AKA: Time Interval, Temporal Interval, Period, Interval.
• Context:
  • It can typically possess Time Boundary through temporal demarcation.
  • It can typically contain Temporal Event through chronological inclusion.
  • It can typically measure Temporal Duration through interval calculation.
  • It can typically establish Temporal Relation through sequence positioning.
  • It can typically enable Temporal Reference through named identification.
  • It can typically function as Measurement Context for rate calculation.
  • ...
  • It can often facilitate Temporal Comparison through interval relation.
  • It can often provide Temporal Context through historical positioning.
  • It can often implement Temporal Classification through attribute assignment.
  • It can often support Temporal Analysis through interval examination.
  • It can often serve as Process Boundary through activity demarcation.
  • It can often define Reporting Scope through temporal limitation.
  • ...
  • It can range from being a Microscopic Time Interval Period to being a Geological Time Interval Period, depending on its duration scale.
  • It can range from being a Precisely Defined Time Interval Period to being an Approximately Bounded Time Interval Period, depending on its temporal precision.
  • It can range from being a Regular Time Interval Period to being an Irregular Time Interval Period, depending on its recurrence pattern.
  • It can range from being a Natural Time Interval Period to being an Artificial Time Interval Period, depending on its definition origin.
  • ...
  • It can have Start Time for interval initiation.
  • It can have End Time for interval termination.
  • It can have Duration Value for temporal measurement.
  • It can have Naming Convention for period identification.
  • It can have Measurement Unit for duration quantification.
  • It can have Relationship Pattern with adjacent time interval periods.
  • ...
• Examples:
  • Time Interval Period Categories, such as:
    • Natural Time Interval Periods, such as:
      • Geological Time Interval Period for Earth history classification.
      • Astronomical Time Interval Period for celestial cycle measurement.
      • Biological Time Interval Period for organism lifecycle tracking.
    • Calendar Time Interval Periods, such as:
      • Century Time Interval Period for hundred-year measurement.
      • Decade Time Interval Period for ten-year measurement.
      • Year Time Interval Period for annual measurement.
      • Month Time Interval Period for monthly measurement.
      • Week Time Interval Period for weekly measurement.
      • Day Time Interval Period for daily measurement.
      • Hour Time Interval Period for hourly measurement.
  • Specialized Time Interval Period Categories, such as:
    • Fiscal Time Interval Periods, such as:
      • Fiscal Year Time Interval Period for organizational accounting cycle.
      • Year-to-Date Time Interval Period for cumulative annual tracking.
      • Month-to-Date Time Interval Period for cumulative monthly tracking.
    • Medical Time Interval Periods, such as:
      • Washout Time Interval Period for medication elimination.
      • Disease Epidemic Time Interval Period for contagion tracking.
      • Exploratory Clinical Trial Time Interval Period for treatment testing.
    • Economic Time Interval Periods, such as:
      • Economic Expansion Time Interval Period for growth phase tracking.
      • Economic Recession Time Interval Period for contraction phase tracking.
      • Economic Stagnation Time Interval Period for plateau phase tracking.
  • Event-Based Time Interval Period Categories, such as:
    • Session Time Interval Periods, such as:
      • Task Session Time Interval Period for work activity duration.
      • Login Session Time Interval Period for system access duration.
      • Service Session Time Interval Period for service provision duration.
    • Transformative Time Interval Periods, such as:
      • Evolutionary Transition Time Interval Period for species adaptation tracking.
      • System Emergence Time Interval Period for complex system formation.
      • Technological Stagnation Time Interval Period for innovation plateau.
      • Artificial General Intelligence Emergence Time Interval Period for AI capability emergence.
    • Analytical Time Interval Periods, such as:
      • Prospective Data Analysis Time Interval Period for future-oriented data examination.
      • Financial Variance Analysis Time Interval Period for budget deviation tracking.
      • Text Topic Modeling Time Interval Period for content trend analysis.
  • ...
• Counter-Examples:
  • Time Instant, which lacks temporal duration.
  • Temporal Sequence, which lacks continuous bounded duration.
  • Temporal Concept, which lacks specific temporal boundaries.
  • Space Interval, which measures spatial dimension rather than temporal dimension.
  • Non-Contiguous Time Collection, which lacks temporal continuity.
  • Dynamic Entity, which may exist across time interval periods but is not itself a time interval period.
• See: Temporal Entity, Time Measurement, Chronology, Duration, Temporal Dimension, Time Scale, Temporal Boundary, Episodic, Numeric Interval, Time Duration Unit, Time Interval Duration Value.

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References

2017

• (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Time#Time-like_concepts:_terminology Retrieved:2017-10-12.
  • The term "time" is generally used for many close but different concepts, including:
    • instant as an object — one point on the time axes. Being an object, it has no value;
    • time interval as an object — part of the time axes limited by two instants. Being an object, it has no value;
    • date as a quantity characterising an instant. As a quantity, it has a value which may be expressed in a variety of ways, for example "2014-04-26T09:42:36,75" in ISO standard format, or more colloquially such as "today, 9:42 a.m.";
    • duration as a quantity characterizing a time interval. As a quantity, it has a value, such as a number of minutes, or may be described in terms of the quantities (such as times and dates) of its beginning and end.

2009

• (WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=time%20interval
  • S: (n) time interval, interval (a definite length of time marked off by two instants)

2009

• http://www.isi.edu/~hobbs/bgt-time.text
  • There are two kinds of temporal entities -- instants and intervals.
    • (1) (forall (t) (if (instant t) (temporalEntity t)))
    • (2) (forall (t) (if (interval t) (temporalEntity t)))
  • No assumptions are made about whether intervals _consist_ of instants. Rather one can specify relations between the two, such as that an instant begins or ends or is inside an interval.

2004

• (Hobbs & Pan, 2004 => {[Jerry R. Hobbs]], and Feng Pan. (2004). “An Ontology of Time for the Semantic Web.” In: ACM Transactions on Asian Language Information Processing, Vol. 3, No. 1.
• (ISO 8601, 2004) International standard for date and time representations.

1997

• (Allen & Ferguson, 1997) ⇒ James F Allen, and George Ferguson. (1997). “Actions and Events in Interval Temporal Logic.” In: O. Stock (ed.). “Spatial and Temporal Reasoning, Kluwer Academic Publishers.

1985

• (Allen & Kautz, 1985) ⇒ James F Allen, and Henry A. Kautz. (1985). “A Model of Naive Temporal Reasoning.” In: "Formal Theories of the Commonsense World." ed. by Jerry R. Hobbs and Robert C. Moore, Ablex Publishing Corp.

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