Examples of using Recursive functions in English and their translations into Bulgarian
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The leading contributor to the special theory of recursive functions.
Recursive functions were invented during the 1920s in the Hilbert school, but nothing much was proved about them.
In particular, all primitive recursive functions are definable.
Subsequent work by Post was instrumental to the further progress of the theory of recursive functions.
Recursive functions invoke themselves, letting an operation be repeated until it reaches the base case.
Kleene's research was on the theory of algorithms and recursive functions.
The theory of recursive functions of which Post was cofounder is now nearly twice as old as when I wrote that letter.
In 1976 her last book was on this topic Recursive Functions in Computer Theory.
In the late 19th century, Leopold Kronecker formulated notions of computability,defining primitive recursive functions.
Recursive functions invoke themselves, allowing an operation to be performed over and over until the base case is reached.
Gödel would later become one of the contributors to the theory of recursive functions, which formed part of the foundation for computers.
Recursive functions invoke themselves, letting an operation be repeated until it reaches the base case or terminating condition is met.
Similarly a set of three ormore functions that call each other can be called a set of mutually recursive functions.
The primary use case for tail call optimization is in recursive functions, as that is where the optimization has the greatest effect.
I admire this work, and it may well be said that she forged, with her bare hands,the theory of primitive recursive functions into existence.
Developing ideas of Herbrand,Gödel defined the more general'general' recursive functions(to which Ackermann 's function belongs) in his Princeton lectures 1933-34;
The result is that certain types still need to be declared(most notably,function parameters, and the return types of recursive functions), e.g.
This work, along with Gödel's work on general recursive functions, established that there are sets of simple instructions, which, when put together, are able to produce any computation.
In a series of articles, beginning in 1934,Péter developed various deep theorems about primitive recursive functions, most of them with an explicit algorithmic content.
Those formalizations included the Gödel- Herbrand- Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's Formulation 1 of 1936, and Alan Turing's Turing machines of 1936- 37 and 1939.
This optimization is applied by the engine automatically when it is safe to do so, however,you may decide to rewrite recursive functions in order to take advantage of this optimization.
In 1923 Skolem also developed a theory of recursive functions as a means of avoiding the so-called paradoxes of the infinite in his paper Begründung der elementären Arithmetik durch die rekurrierende Denkweise ohne Anwendung scheinbarer Veränderlichen mit unendlichem Ausdehnugsbereich.
In 1960 John McCarthy of MIT published a landmark paper in the Communications of the ACM on recursive functions in programming, in which he introduced a new programming language called LISP(for“List Processing”).
These generatively recursive functions can often be interpreted as corecursive functions- each step generates the new data, such as successive approximation in Newton's method- and terminating this corecursion requires that the data eventually satisfy some condition, which is not necessarily guaranteed.
In 1965 she published On creative sets andindices of partial recursive functions which investigated sets of indices of partial recursive functions and of recursively enumerable sets.
The result is that certain types still need to be declared(most notably,function parameters, and the return types of recursive functions), e.g. def formatApples(x: Int)="I ate%d apples". format(x) or(with a return type declared for a recursive function) def factorial(x: Int): Int= if(x== 0) 1 else x*factorial(x- 1) In Scala, functions are objects, and a convenient syntax exists for specifying anonymous functions. .
Recursive function not allowed.
Here is a recursive function for which it is very difficult to estimate the complexity.
She published papers on mathematical logic, recursive function theory, and theoretical computer science.
If the recursive function is disabled, the program will scan the source directory only.