evaluate

To draw conclusions from examining; to assess; to appraise.

It will take several years to evaluate the material gathered in the survey.

Death is a factor that changes all our views as we are forced to evaluate our worth and what ultimately matters in life.

To compute or determine the value of (an expression).

Evaluate this integral.

To return or have a specific value.

Since element (15.1) evaluates to an element of the center in any alternative algebra, (15.1) has to evaluate to a scalar multiple of the identity element of the Cayley-Dickson algebra.

In one type of such an integral, the integrand is only the probability density function, and the integral evaluates to a probability, which of course is a scalar.