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For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??
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For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.
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For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.
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For and non-deterministic
For instance, the language of True quantified Boolean formulas is decidable in polynomial space, but not non-deterministic polynomial time ( unless NP = PSPACE ).
For example, the class NP is the set of decision problems whose solutions can be determined by a non-deterministic Turing machine in polynomial time, while the class PSPACE is the set of decision problems that can be solved by a deterministic Turing machine in polynomial space.
For example FP is the set of function problems which can be solved by a deterministic Turing machine in polynomial time, and FNP is the set of function problems which can be solved by a non-deterministic Turing machine in polynomial time.
Advice classes can be defined for other resource bounds instead of P. For example, taking a non-deterministic polynomial time Turing machine with an advice of length f ( n ) gives the complexity class NP / f ( n ).

For and Turing
For example, Daniel Dennett and Douglas Hofstadter argue that anything capable of passing the Turing test is necessarily conscious, while David Chalmers argues that a philosophical zombie could pass the test, yet fail to be conscious.
For example, Ken Thompson noted during his 1983 Turing Award lecture that it is possible to add code to the UNIX " login " command that would accept either the intended encrypted password or a particular known password, allowing a back door into the system with the latter password.
For example, P < sup > SAT </ sup > is the class of problems solvable in polynomial time by a deterministic Turing machine with an oracle for the Boolean satisfiability problem.
In February 2002 they received the 2001 A. M. Turing Award by the Association for Computing Machinery ( ACM ), with the citation: " For ideas fundamental to the emergence of object oriented programming, through their design of the programming languages Simula I and Simula 67.
: For visualizations of Turing machines, see Turing machine gallery.
For example, Stephen Kleene describes the notion of a Turing machine tape as " a linear tape, ( potentially ) infinite in both directions.
For example, the Boolean satisfiability problem can be reduced to the halting problem by transforming it to the description of a Turing machine that tries all truth value assignments and when it finds one that satisfies the formula it halts and otherwise it goes into an infinite loop.
For his pioneering design and realization of the Alto, Charles P. Thacker was awarded the 2009 Turing Award of the Association for Computing Machinery on March 9, 2010.
For example, supertasking Turing machines, under the usual assumptions, would be able to compute any predicate in the truth-table degree containing or.
For his contribution to the invention of the RSA cryptosystem, Adleman, along with Ron Rivest and Adi Shamir, has been a recipient of the 1996 Paris Kanellakis Theory and Practice Award and the 2002 ACM Turing Award, often called the Nobel Prize of Computer Science.
For example, adding an extra tape to the Turing machine, giving it a 2-dimensional ( or 3 or any-dimensional ) infinite surface to work with can all be simulated by a Turing machine with the basic 1-dimensional tape.
For example, the Turing machine may have a " halting oracle " which answers immediately whether a given Turing machine will ever halt on a given input.
* For Alan Turing ( 2006 )
For each function f ( n ), there is a complexity class SPACE ( f ( n )), the set of decision problems which can be solved by a deterministic Turing machine using space O ( f ( n )).
For example, if we use a nondeterministic Turing machine, we have the resource NTIME.
For example, a deterministic Turing machine can solve more decision problems in space n log n than in space n. The somewhat weaker analogous theorems for time are the time hierarchy theorems.
* For a wide variety of sequential computational models, including for Turing machines, SPACE ( f ( n )- ω ( log ( f ( n )+ n ))) ⊊ SPACE ( f ( n )).
* For certain computational models, including Turing machines with a fixed number of tapes ( with one head per tape ) and fixed alphabet size and with delimiters for the visited segment on each tape, SPACE ( f ( n )- ω ( 1 )) ⊊ SPACE ( f ( n )).

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