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What does mathematically mean?

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

Adverb
  1. According to or using mathematics.
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Examples
Bose and Home show mathematically that whenever one electron is detected in each path, they will be entangled.
Only rocket scientists and the mathematically gifted can do mental arithmetic accurately which involves dividing or multi-plying.
Its application of mean-variance analysis showed mathematically how the risk of individual bonds and stocks make their contributions to risks.
Both are straightforward and easy to use, and although functions can be performed mathematically, they can just as easily be adjusted visually.
The bands form a matrix for a mathematically calculated grid of deeply recessed and splayed bays, each containing windows of different sizes.
W Thomson was the first who tried to treat mathematically Faraday's conception of lines of force.

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