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Operator overloading is syntactic sugar, and is used because it allows programming using notation nearer to the target domain [1] and allows user-defined types a similar level of syntactic support as types built into a language. It is common, for example, in scientific computing, where it allows computing representations of mathematical objects ...
This is an example of overloading or more specifically, operator overloading. Note the ambiguity in the string types used in the last case. Consider "123" + "456" in which the programmer might naturally assume addition rather than concatenation. They may expect "579" instead of "123456". Overloading can therefore provide different meaning, or ...
Mercury provides complex numbers with full operator overloading support in the extras distribution, using libcomplex_numbers. Java does not have a standard complex number class, but there exist a number of incompatible free implementations of a complex number class:
[3] [2] In contrast with the "eqtypes" of Standard ML, overloading the equality operator through the use of type classes in Haskell does not need extensive modification of the compiler frontend or the underlying type system. [4]
For any particular call, the compiler determines which overloaded function to use and resolves this at compile time. This is true for programming languages such as Java. [10] Function overloading differs from forms of polymorphism where the choice is made at runtime, e.g. through virtual functions, instead of statically.
Figure 5: Example of how operator overloading could work. Operator overloading is a possibility for source code written in a language supporting it. Objects for real numbers and elementary mathematical operations must be overloaded to cater for the augmented arithmetic depicted above.
The progressions of numbers that are 0, 3, or 6 mod 9 contain at most one prime number (the number 3); the remaining progressions of numbers that are 2, 4, 5, 7, and 8 mod 9 have infinitely many prime numbers, with similar numbers of primes in each progression.
Take Pascal's triangle, which is a triangular array of numbers in which those at the ends of the rows are 1 and each of the other numbers is the sum of the nearest two numbers in the row just above it (the apex, 1, being at the top). The following is an APL one-liner function to visually depict Pascal's triangle: