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The original definition appearing in [2] requires that G = S . The definition presented above is a common generalisation of this. From a computational perspective, the formal definition of a straight-line program has some advantages. Firstly, a sequence of abstract expressions requires less memory than terms over the generating set.
[1] [2] Common examples of computation are mathematical equation solving and the execution of computer algorithms. Mechanical or electronic devices (or, historically, people) that perform computations are known as computers. Computer science is an academic field that involves the study of computation.
Computational mathematics is the study of the interaction between mathematics and calculations done by a computer. [1] A large part of computational mathematics consists roughly of using mathematics for allowing and improving computer computation in areas of science and engineering where mathematics are useful.
A human computer, with microscope and calculator, 1952. It was not until the mid-20th century that the word acquired its modern definition; according to the Oxford English Dictionary, the first known use of the word computer was in a different sense, in a 1613 book called The Yong Mans Gleanings by the English writer Richard Brathwait: "I haue [] read the truest computer of Times, and the best ...
Graphs such as these are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real-world problems, and their importance in developing computer algorithms. Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous ...
One notable benefit that has been documented and researched is the potential for 1:1 computing initiatives to support the use of open educational resources (OER), available in digital form, for ubiquitous access by learners. [10]
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The theory of computation can be considered the creation of models of all kinds in the field of computer science. Therefore, mathematics and logic are used. In the last century, it separated from mathematics and became an independent academic discipline with its own conferences such as FOCS in 1960 and STOC in 1969, and its own awards such as the IMU Abacus Medal (established in 1981 as the ...