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What does analytically mean?

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

Adverb
  1. In an analytical manner.
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The summation and multiple integration required to calculate the integrated likelihood for s 01 and s 10 are impossible to perform analytically.
Perhaps as a society we dislike to gaze analytically on our communal icons of church and family.
I found him to be sharp as a tack analytically while still in his nineties.
Competency mapping is particularly appealing to analytically oriented decision-makers.
Several numerically calculated trajectories are illustrated, and base Archimedean spirals are compared with analytically obtained results.
Our corrections are based on recasting the integral equations into a hierarchy of simpler integral equations that can be solved analytically.

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