All the great mathematicians who contributed to the development of calculus had an intuitive concept of limits, but it was only with the work of the German mathematician Karl Weierstrass that a completely satisfactory formal definition of the limit of a sequence was obtained.
In addition to his work on calculus, as a mathematician Newton contributed to the study of power series, generalised the binomial theorem to non-integer exponents, developed a method for approximating the roots of a function, and classified most of the cubic plane curves.
In addition to performing kinematic transformations, nonassociative learning may also contribute to the integral-differential calculus and Boolean logic computations that are basic to brain decision processes.
It has been claimed that fiber-reinforced composite retainers provide a smoother outer surface, while there seems to be more retention areas along the spiral wire retainers which can contribute to the formation of more calculus along the retainer wire [15],[15].
On Newton's contributions to the calculus see Baron (1987) and Boyer (1959).
If we had exposed dentin samples that remained sound after the in situ period, the presence of absence of calculus deposits on those samples would have not contributed to prove that calculus deposits can be formed concomitantly with caries lesions in short time intervals in an in situ caries model.
This characteristic of fractional calculus has contributed to its popularity and has convinced many researchers of the need to shift their focus from classical integer-order models to fractional-order models.
Leibniz's vigorous espousal of the new calculus, the didactic spirit of his writings, and his ability to attract a community of researchers contributed to his enormous influence on subsequent mathematics.
By the terrible calculus of terrorism, the attacks should thus be counted as a failure a sign of weakness, not strength.Cities vulnerable, cities resilientThe tighter security that has been in place in London since September 11th may have contributed to that.
Currently, several researchers are getting interested in the time scale calculus, contributing to its development and showing applications of the theory and methods in biology (see, e.g., [3, 4]), engineering (see, e.g., [5 10]), physics (see, e.g., [11]), and economy (see, e.g., [12 15]).
