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What are scalars?

What are scalars? Here are some definitions.

Noun
  1. plural of scalar
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In this paper, regular italics symbols, boldface lower-case symbols, boldface upper-case symbols, and regular upper-case symbols denote scalars, vectors, matrices, and sets, respectively.
Mortality rates are vectors, not scalars, i.e. one number per age and gender.
Higgsinos and gauginos are the names of the fermionic superpartners of the Higgs scalars and gauge bosons respectively.
These contrast with scalars, which have a size but no direction, for example temperature or mass.
Together these three loci seem to fit the circumstances under which separate estimates of both mutation scalars and inheritance scalars can be obtained.
Some physical and geometric quantities, called scalars, can be fully defined by specifying their magnitude in suitable units of measure.

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