Assertion: infinitesimal | /r/HasProperty | small
Facets:
value: really
type: DEGREE
value: indefinitely
type: DEGREE
value: infinitesimally
type: DEGREE
Source sentences:
text: The end goal is not nilsquare infinitesimals: the end goal is to define infinitesimals that are so small that every smooth function looks linear on their scale.
text: "the differential of a function can be defined through infinitesimals (a infinitesimally small change in a variable)
text: Infinitesimal: an indefinitely small quantity; a value approaching zero.
text: = fdg + gdf + df\,dg,$$ and then ignoring $df\,dg$ as inconsequential, since it was made up of the product of two infinitesimals; but if infinitesimals that are really small can be ignored, why do we not ignore the infinitesimal change