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gradually dividing vs having the unit interval

The two phrases are not directly comparable as they convey different meanings. 'Gradually dividing' implies a process of splitting something into smaller parts over time, while 'having the unit interval' refers to possessing or being in possession of the unit interval. Depending on the context, one phrase may be more appropriate than the other.

Last updated: March 17, 2024 • 674 views

gradually dividing

This phrase is correct and commonly used in English to describe the process of splitting something into smaller parts over time.

This phrase is used to indicate a gradual or incremental division of something into smaller components or sections.

Examples:

  • The company is gradually dividing its operations into separate departments.
  • She is gradually dividing her time between work and family.
  • The river gradually divides into smaller streams as it flows downstream.
  • In the late nineteenth century American Protestantism was gradually dividing between liberals who were accepting new scientific and higher critical views that  ...
  • RESULTS: The resin cast of the gland showed a treelike structure, with the vessels gradually dividing into multiple branches. The arteries, veins, and ducts run in ...
  • Then Gradually dividing the images into smaller and smaller groups until I finally picked a winner. I started by just picking images that immediately caught my ...
  • ... Christendom following the Protestant Reformation, and with the rise of nationalism, the monasteries of the Order were gradually dividing into national groups.

having the unit interval

This phrase is correct but less commonly used in everyday English. It is more technical and specific, often found in mathematical or scientific contexts.

This phrase is used in technical contexts to indicate possession or inclusion of the unit interval, typically in mathematical or scientific discussions.

Examples:

  • The function has the unit interval [0,1] as its domain.
  • The data set includes all values within the unit interval.
  • Having the unit interval in this equation simplifies the calculations.
  • having the unit interval as range, such as distribution functions or logistic forms. The companion form for these models is xt ] Φt-1 xt-1. K cסt where c was defined  ...
  • These are processes having the unit interval as “alphabet”, I = [0,1], and defined through another, auxiliary, process with a finite alphabet. Formally, a family of ...
  • functions are replaced by smooth functions of the data having the unit interval as range, such as distribution functions or logistic forms. The companion form for ...
  • These are processes having the unit interval as ”alphabet”, I = [0,1], and defined through another, auxiliary process with a finite alphabet. Formally, a family of ...

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