For the sake of the example ( and this is a gross simplification ), let's assume that he values this particular risk at 5 % per annum ( we could perform a more precise probabilistic analysis of the risk, but that is beyond the scope of this article ).

Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

As an example of a category mistake, it was used to show inadequacy of the then-popular probabilistic models of grammar, and the need for more structured models.

For example, trusted systems include the use of " security envelopes " in national security and counterterrorism applications, " trusted computing " initiatives in technical systems security, and the use of credit or identity scoring systems in financial and anti-fraud applications ; in general, they include any system ( i ) in which probabilistic threat or risk analysis is used to assess " trust " for decision-making before authorizing access or for allocating resources against likely threats ( including their use in the design of systems constraints to control behavior within the system ), or ( ii ) in which deviation analysis or systems surveillance is used to ensure that behavior within systems complies with expected or authorized parameters.

For example, quantum finite automaton, geometric automaton and metric automaton have probabilistic acceptance.

Although others before him proved theorems via the probabilistic method ( for example, Szele's 1943 result that there exist tournaments containing a large number of Hamiltonian cycles ), many of the most well known proofs using this method are due to Erdős.

For example, a Bayesian network could represent the probabilistic relationships between diseases and symptoms.

It contacts all reachable nodes in the network and so can precisely determine whether a resource can be found in the network ( Freenet, for example, only returns a probabilistic result ).

For example, there are simple and efficient probabilistic algorithms that determine whether a given number is prime and have a very small chance of being wrong.

This is an example of a probabilistic nondeterministic algorithm, because it will not always return the same result given a particular input.

However, individuals members of the ensemble need to be ' dressed ' ( for example with gaussian kernels estimated from historical performance ) before a reasonable probabilistic forecast can be obtained.

For example, the inferred certainty sense of English must developed after the strong obligation sense ; the probabilistic sense of should developed after the weak obligation sense ; and the possibility senses of may and can developed later than the permission or ability sense.

An example of the software control chart from Flower And Snake disc 1 of 3 including menu commands found in the configuration volume as " CDI_VCD. CFG "

For example, the following left-recursive CFG rule:

An Earley parser is an example of such an algorithm, while the widely used LR and LL parsers are simpler algorithms that deal only with more restrictive subsets of context-free grammars.

This reduces the power of the parser because, as the following example depicts, dropping the lookahead info can confuse the parser as to which grammar rule to pick next, resulting in a reduce / reduce conflict.

For example, when a string is coerced, the parser turns as much of the string ( starting from the left ) into a number as it can, then discards the rest.

For example, consider a syntactic parser that is based on the output of some new part of speech ( POS ) tagger.

An LL parser is called an LL (*) parser if it is not restricted to a finite k tokens of lookahead, but can make parsing decisions by recognizing whether the following tokens belong to a regular language ( for example by use of a Deterministic Finite Automaton ).

A SAX parser only needs to report each parsing event as it happens, and normally discards almost all of that information once reported ( it does, however, keep some things, for example a list of all elements that have not been closed yet, in order to catch later errors such as end-tags in the wrong order ).

Thus in the example above, a SAX parser may generate a different series of events, part of which might include:

For example, YACC ( Yet Another Compiler Compiler ) takes input in Backus-Naur form and converts it to a parser in C. Though it was originally created for automatic generation of a parser for a compiler, yacc is also often used to automate writing code that needs to be modified each time specifications are changed.

For example, a parser might return an intermediate result and a continuation that, when invoked, will continue to parse the input.

For example, Sierra's 1991 remake of Space Quest, the developers used the engine, point-and-click interface, and graphical style of Space Quest IV, replacing the dated graphics and text parser interface of the original.

The basic game structure invented by Crowther ( and based in part on the example of the ELIZA text parser ) was carried forward by the designers of later adventure games.

( An example is Haskell, which allows user-defined infix operators with custom associativity and precedence ; consequentially, an operator-precedence parser must be run on the program after parsing of all referenced modules.

yo-yo parser for van Wijngaarden grammars with example grammars for expressions, eva, sal and Pascal.

For example, it can be used to find incorrect-serialization bugs by complaining whenever a program's serializer emits something that the same program's parser rejects.

The player may type a phrase with a verb and noun, for example ' Look at ocean ' or ' Pick up trident ', the word list in the parser is fairly robust and understands quite a non-important verbs which will result in unexpected replies.

An example of the changes which have crept over the Southern region may be seen in the Southern Negro's quest for a position in the white-dominated society, a problem that has been reflected in regional fiction especially since 1865.

This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.

You can see it, for example, in the extensive efforts President Kennedy has made to enlist solid bipartisan support for his actions toward both Cuba and Laos ; ;

For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.

A good example of the results obtainable with ultrasonic radiation is contained in papers presented by Dr. G. Baum who has explored the human eye.

Woodward, for example, has emphasized the `` need for a broad spectrum of services, including very brief services in connection with critical situations ''.

Recently, for example, a paranoid woman's large-scale philosophizing, in the session, about the intrusive curiosity which has become, in her opinion, a deplorable characteristic of mid-twentieth-century human culture, developed itself, before the end of the session, into a suspicion that I was surreptitiously peeking at her partially exposed breast, as indeed I was.

Assume, for example, a situation where a farm has a packing shed and fields.

The final example of the failure to use available evidence, though evidence of a different kind from that which has so far been considered, comes from Fromm's treatment of some other writers who have dealt with the same themes.

As this issue goes to press, for example, one manufacturer has announced an epoxy foam with outstanding buoyancy and impact strength ; ;

In urethane foams, for example, there has been a definite trend toward the polyether-type materials ( which are now available in two-component rigid foam systems ) and the emphasis is definitely on one-shot molding.

For example Test 3, E 1 refers to a specimen which has been washed by procedure `` 3 ( '' ( at 160-degrees-F ) for a total of 60 minutes in the machine, has been dried in a tumble dryer by procedure `` E '' and has been subjected to restorative forces on the Tension Presser by procedure `` 1 ''.

In one now-historic first interview, for example, the transcript ( reproduced from the book, The First Five Minutes ) goes like this: The therapist's level tone is bland and neutral -- he has, for example, avoided stressing `` you '', which would imply disapproval ; ;

For example, the BBB has reported it was receiving four times as many inquiries about quack devices and 10 times as many complaints compared with two years ago.

One has only, for example, to walk through Harlem and ask oneself two questions.

He cited, as an example, how the American camera industry has been able to meet successfully the competition of Japan despite lower Japanese labor costs, by improving its production know-how and technology.

In Nassau County, for example, the heavily settled Long Island suburb of New York City, the system is credited by the state with serving one million persons, a figure that has doubled since 1950.

There is a fine second act, as an example, one in which Samuel Groom, as Dillon, has an opportunity to blaze away in one impassioned passage after another.

This has been claimed to be an example of early animation.

For example Connecticut applies the following standard to review unpreserved claims: 1. the record is adequate to review the alleged claim of error ; 2. the claim is of constitutional magnitude alleging the violation of a fundamental right ; 3. the alleged constitutional violation clearly exists and clearly deprived the defendant of a fair trial ; 4. if subject to harmless error analysis, the state has failed to demonstrate harmlessness of the alleged constitutional violation beyond a reasonable doubt.

In New Jersey, for example, the Administrative Office of the Court has promulgated a form of notice of appeal for use by appellants, though using this exact form is not mandatory and the failure to use it is not a jurisdictional defect provided that all pertinent information is set forth in whatever form of notice of appeal is used.

For example, HCl has chloride as its anion, so the-ide suffix makes it take the form hydrochloric acid.