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What are determinants?

What are determinants? Here are some definitions.

Noun
  1. plural of determinant
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Examples
It is not surprising that the beginnings of matrices and determinants should arise through the study of systems of linear equations.
He also worked on determinants and studied the functional determinant now called the Jacobian.
A whole gamut of policies, affecting the three crucial determinants of state level growth, have been considered.
The latter variables are the two main determinants of costs in the foreign exchange market.
A number of determinants were considered germane in the selection of mediation for commercial disputes.
He observes it is contingently true that events typically have very few earlier determinants but very many later determinants.

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