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What does adjoin mean?

Looking for the meaning or definition of the word adjoin? Here's what it means.

Verb
  1. (transitive) To be in contact or connection with.
  2. (mathematics) To extend an algebraic object (e.g. a field, a ring, etc.) by adding to it (an element not belonging to it) and all finite power series of (the element).
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Examples
Thus many category V areas contain within them category I and IV areas: some will adjoin category II areas.
The Angolans' overwhelming concern is that their UNITA rebels should not find sanctuary in the parts of Congo that adjoin Angola.
The hive that honey bees construct has the structure of many hexagons adjoin to each other.
If a man were to use his arms as much as a dragonfly does, his shoulder where his arms and torso adjoin would be seriously affected.
The development will also adjoin a pub and restaurant, as well as being handy for the shops and other visitor attractions in Pier Road.
This is especially true in today's modern homes, where family rooms and great rooms often adjoin the kitchen creating a large entertaining space.

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