Similarly, there are two new infinitesimal numbers in generation ω+1:
An "infinitesimal number" of Escalade owners will ever go off road, she says, and few will ever tow anything.
If the book is not interesting to the reader, then in all but an infinitesimal number of cases it gives scant benefit to the reader.
The field *R includes, in particular, infinitesimal ("infinitely small") numbers, providing a rigorous mathematical justification for their use.
This means that "Z" is empty after all: there are no positive, infinitesimal real numbers.
Some fields of mathematics define infinitesimal numbers.
And there may have been and undoubtedly were an infinitesimal number of bona fide espionage agents.
The intuitive motivation is, for example, to represent an infinitesimal number using a sequence that approaches zero.
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.
Non-standard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal number.