سوال ۲۵ کنکور ارشد علوم کامپیوتر ۱۴۰۰

PASSAGE 2: PRACTICAL DIFFERENCES BETWEEN SPLINES AND CUBIC HERMITES (first paragraph, excerpt)

Given a specific data set to interpolate, a few general guidelines can be suggested for deciding between these two similar piecewise polynomial interpolations. Of course, if smoothness of the second derivative is required then splines are selected, but usually this is not demanded explicitly. ... Usually though, the choice between spline or Hermite cubic interpolation does not depend upon the amount of work to compute the $d_i$. This is because in practical problems the resulting piecewise cubic is evaluated at many points and this is the most significant part of the total work.

Choose and mark the choice being closest in meaning to the underlined words "piecewise cubic" in the first paragraph.

1. a natural spline
2. an Hermite cubic interpolant
3. an overall polynomial of degree 3
4. a polynomial of degree 3 in every segment