Examples of 'computable function' in a sentence
Meaning of "computable function"
computable function: In mathematics, a computable function is a function that can be calculated or computed by an algorithmic process. It refers to functions for which there exists an effective method to determine their values
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- A mathematical function that can be computed using an abstract computation machine such as Turing machine.
How to use "computable function" in a sentence
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computable function
Every computable function is arithmetically definable.
Is the range of a total computable function.
Each computable function has an infinite number of different program representations in a given programming language.
The greatest common divisor of two numbers is a computable function.
This argument provides a total computable function that is not primitive recursive.
This means that any function computable from the path is dominated by a computable function.
Therefore any arbitrary computable function f can not be the halting function h.
The image of a computable set under a nondecreasing total computable function is computable.
The domain of any universal computable function is a computably enumerable set but never a computable set.
In computer science and engineering, a system acts as a computable function.
This machine can process any computable function and includes most modern computers.
Technically, there is usually an additional requirement that f be a computable function.
An example of a total computable function that is not LOOP computable is the Ackermann function.
The preimage of a recursive set under a total computable function is a recursive set.
That is, a computable function is a function that can be computed with a Turing machine.
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Therefore H is not a computable function.
The definition of a halting probability relies on the existence of a prefix-free universal computable function.
Possible values for a total computable function f arranged in a 2D array.
The thesis can be stated as, Every effectively calculable function is a computable function.
The proof uses a particular total computable function h { \ displaystyle h }, defined as follows.
Let formula 2 be an index of the composition formula 34, which is a total computable function.
Here f ( n ) is any polynomial-time computable function of n, the number of vertices of a graph.
Thus " x - y " is an example of a partially computable function.
For a total computable function f { \ displaystyle f } complexity classes of computable functions can be defined as.
This means that " F " can be used to simulate any computable function of one variable.
Suppose that S ( n ) is a computable function and let EvalS denote a TM, evaluating Sn.
Let F be a prefix-free universal computable function.
Thus given a set formula 5, a computable function formula 6 has property " F " if and only if formula 7.
Denote by formula 3 the th ( partial ) computable function.
Theorem, K is not a computable function.
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