In Kleene and Vesley [1965] and Kleene [1969], functions replace numbers as realizing objects, establishing the consistency of formalized intuitionistic analysis and its closure under a second-order version of the Church-Kleene Rule.
The smartphone is a prime example of dematerialization -- its functions replace in one small device the computing power of old IBM machines that filled whole rooms, landline phones, cameras and watches.
This often takes the form of smaller, smarter microchips with more integrated functions, replacing older, larger and energy-hungry systems that cost more, Mr. Bibaud said.
Fuel cells are battery-like devices that, though still in the development stage, may some day fill a variety of power-generating functions, replacing, say, a car's combustion engine.
The University of London Union, the largest student association of its type in Europe, faces being dismantled by the university's governing body and its campaigning functions replaced by a London-wide body to represent all students in the capital, including those at colleges outside the University of London.
Stakhov and Tkachenko [14] introduced a new class of hyperbolic functions called hyperbolic Fibonacci functions replacing the discrete variable n in equation (9) with the continuous variable x that takes its values from the set of real numbers.
Resynthesizing the promoter DNA through endonuclease, DNA polymerase, and DNA ligase functions replaces the 5-methyl-cytosines with cytosines and activates the Medea gene.
Then, we design new emission functions replacing this empirical parameter by beta mixtures for incorporating genome-wide methylation level distributions.
We proposed to incorporate the information of genome-wide methylation level distributions into emission functions, replacing the empirical parameter used in our previous study.
For the first objective function, replace Eq. (23) with Eq. (4 .Then, the constraints of Eqs.
Mary, Queen of Scots and Napoleon, Stalin, Ned Kelly and many of the aristocrats who lost their heads during the French revolution have all been immortalised in this way, but the art has, as it were, died out, its function replaced by photography and, more recently, videos of departed loved ones.
