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What does incongruent mean?

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

Adjective
  1. out of place, incompatible, inharmonious, not congruent
  2. (mathematics) of or relating to two numbers that have different remainders when divided by a third number
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Examples
At first glance, Kensington's alternative youth may seem incongruent with the older immigrant community.
Conspicuous consumption of incongruent high-rise real-estate at the expense of venerable neighborhood community centers!
For some reason my memory of what she said was completely incongruent with what she did, and she was quite right, I think.
One should not risk potential harm to the client by abandoning the role of therapist for the potentially incongruent role of advocate.
In the first, the phylogenies of different genes were shown to be incongruent, indicating recombination between the genes.
The check is aimed at ensuring that no incongruent code is executed by the filter interpreter.

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