Examples of using Turing machine in English and their translations into Russian
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Show the rules for the 2-state, 2-color Turing machine 2506.
A Turing machine is a hypothetical computing device, first conceived by Alan Turing in 1936.
Any quantum algorithm can be expressed formally as a particular quantum Turing machine.
Currently, Immink holds the position of president of Turing Machines Inc, which was founded in 1998.
This is the essential insight of the Church-Turing thesis and the universal Turing machine.
Any normal algorithm is equivalent to some Turing machine, andvice versa- any Turing machine is equivalent to some normal algorithm.
More precisely, the hypothesis is that there is some absolute constant c>0 such that 3SAT cannot be decided in time 2cn by any deterministic Turing machine.
In[5, page 315] we can read the following task:«Shape a Turing machine, using the Conway's game».
A quantum Turing machine(QTM), also a universal quantum computer, is an abstract machine used to model the effect of a quantum computer.
After more than thirty years, Immink left Philips Research in 1998,and founded Turing Machines Inc., where he currently serves as its president.
Any algorithm with these two properties can be converted to a polynomial time algorithm by replacing the arithmetic operations by suitable algorithms for performing the arithmetic operations on a Turing machine.
Hence, it is not possible to carry out this computation in polynomial time on a Turing machine, but it is possible to compute it by polynomially many arithmetic operations.
And in a proof-sketch added as an"Appendix" to his 1936-37 paper,Turing showed that the classes of functions defined by λ-calculus and Turing machines coincided.
The undecidability of the halting problem(the problem of testing whether a Turing machine eventually halts) then implies the undecidability of Wang's tiling problem.
If it's possible to make the molecular«Turing machine» with a Conway's game, one question immediately arised- is it possible to create a«universal constructor» or so-called«nanoassembler», which allow to produce such machines that could fully copied or reproduced themselves.
In it he stated another notion of"effective computability" with the introduction of his a-machines now known as the Turing machine abstract computational model.
It includes built-in functions for generating and running Turing machines, creating graphics and audio, analyzing 3D models, matrix manipulations, and solving differential equations.
Alan Turing's theory of computation,especially as developed in Deutsch's Turing principle, in which the Universal Turing machine is replaced by Deutsch's universal quantum computer.
For example, a change from a single-tape Turing machine to a multi-tape machine can lead to a quadratic speedup, but any algorithm that runs in polynomial time under one model also does so on the other.
It moves from Boolean algebra through topics such as information theory, parallel computing, cryptography, algorithms,heuristics, Turing machines, and promising technologies such as quantum computing and emergent systems.
A recursively enumerable language is a formal language for which there exists a Turing machine(or other computable function) that will halt and accept when presented with any string in the language as input but may either halt and reject or loop forever when presented with a string not in the language.
In computer science, this implies that there is a maximal information-processing rate(Bremermann's limit)for a physical system that has a finite size and energy, and that a Turing machine with finite physical dimensions and unbounded memory is not physically possible.
He proved that his universal machine can compute any function that any Turing machine can compute; and he put forward, and advanced philosophical arguments in support of, the thesis here called Turing's thesis.
But the limits of practical computation are set by physics, not by theoretical computer science:"Turing did not show that his machines can solve any problem that can be solved'by instructions, explicitly stated rules, or procedures', nordid he prove that the universal Turing machine'can compute any function that any computer, with any architecture, can compute.
To make this precise, a universal computer(or universal Turing machine) must be specified, so that"program" means a program for this universal machine. .
For schemes based on computational security, the adversary is modeled by a probabilistic polynomial time Turing machine, meaning that it must complete the game and output a guess within a polynomial number of time steps.
In mathematics and computer science,Zeno machines(abbreviated ZM, and also called accelerated Turing machine, ATM) are a hypothetical computational model related to Turing machines that allows a countably infinite number of algorithmic steps to be performed in finite time.
A recursively enumerable language is a formal language for which there exists a Turing machine(or other computable function) which will enumerate all valid strings of the language.
The classic Church-Turing thesis claims that any computer as powerful as a Turing machine can, in principle, calculate anything that a human can calculate, given enough time.
He proved that no algorithm for the problem can exist,by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt.