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Page "Iterative and incremental development" ¶ 21
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Backtracking and is
Backtracking is a recursive algorithm.
Backtracking is a general algorithm for finding all ( or some ) solutions to some computational problem, that incrementally builds candidates to the solutions, and abandons each partial candidate c (" backtracks ") as soon as it determines that c cannot possibly be completed to a valid solution.
Backtracking is an important tool for solving constraint satisfaction problems, such as crosswords, verbal arithmetic, Sudoku, and many other puzzles.
Backtracking is also utilized in the ( diff ) difference engine for the MediaWiki software.
* Backtracking is also utilized in the " diff " ( version comparing ) engine for the MediaWiki software.
Backtracking to previous screens is rarely required.
Backtracking starts at the highest scoring matrix cell and proceeds until a cell with score zero is encountered, yielding the highest scoring local alignment.

Backtracking and .
* Backtracking and Baumert 1965 was adopted to economize on the use of time and storage by working on and storing only one possibility at a time in exploring alternatives.
Backtracking can be applied only for problems which admit the concept of a " partial candidate solution " and a relatively quick test of whether it can possibly be completed to a valid solution.
Backtracking depends on user-given " black box procedures " that define the problem to be solved, the nature of the partial candidates, and how they are extended into complete candidates.
Richard Frost also used memoization to reduce the exponential time complexity of parser combinators, which can be viewed as “ Purely Functional Top-Down Backtracking ” parsing technique.
Backtracking on his previous assertion that Bush could continue without Pulsford, Rossdale stated that he started a new band because he didn ’ t want to dilute everything Bush had accomplished by changing members.

is and possible
It is possible, although highly doubtful, that he killed none at all but merely let his reputation work for him by privately claiming every unsolved murder in the state.
It is also possible, but equally doubtful, that he actually shot down the hundreds of men with which his legend credits him.
`` Now that Bruno Walter is virtually in retirement and my dear friend Dimitri Mitropoulos is no longer with us, I am probably the only one -- with the possible exception of Leonard Bernstein -- who has this special affinity for and champions the works of Bruckner and Mahler ''.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
Within this notion clarity is possible, but for us who are neither Greek nor Jansenist there is not such clarity.
Mimesis is the nearest possible thing to the actual re-living of experience, in which the imagining person recovers through images something of the force and depth characteristic of experience itself.
Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.
The first of two possible variations on this theme is symbolized by Mickey Spillane's Mike Hammer.
All we want from Dr. Huxley's statement is the feeling that this is an open world, in the view of the best scientific opinion, with practically no directional commitments as to what may happen next, and no important confinements with respect to what may be possible.
In the range and variety of characters who, in their literary lives, get along all right with life styles one never imagined possible, there is an implicit lesson in differentiation.
It is possible that the study of literature affects the conscience, the morality, the sensitivity to some code of `` right '' and `` wrong ''.
It is possible that the idea of enrichment of emotion is a fifth idea.
It is at least possible that the capacity to postpone gratification is developed as well as expressed in a continuous and guided exposure to great literature.
Most students of literature, whether they call themselves scholars or critics, are ready to argue that it is possible to understand literary works as well as to enjoy them.
In looking back over the volumes, it is possible to find errors of interpretation, some of which were not so evident at the time of writing.
Says he, `` I may never imagine that in the struggle between personal and supra-personal responsibility it is possible to make a compromise between the ethical and the purposive in the shape of a relative ethic ; ;
Fortunately, it is possible to be somewhat more concrete and factual in diagnosing the involvement of values in education.
But when the situation was so complicated that even Nogaret, one of the principal actors in the drama, could misinterpret the pope's motives, it is possible that Othon and his companions, equally baffled, attributed their difficulties to a more immediate cause.
It is no longer possible to say that a sceptical attitude towards the received accounts of the invasions almost automatically produces a `` shore occupied by '' interpretation.

is and iterative
Because experimentation is iterative, the
If numerical iterative methods have to be employed, the aim is to iterate until full machine accuracy is obtained ( the best that is possible with a finite word length on the computer, and within the mathematical and / or physical approximations made ).
This is often exploited in algorithms, both theoretical and applied, where an iterative process can be shown relatively easily to produce a Cauchy sequence, consisting of the iterates.
Extended Erlang B is an iterative calculation, rather than a formula, that adds an extra parameter, the Recall Factor, which defines the recall attempts.
First, the process of risk management is an ongoing iterative process.
In computational mathematics, an iterative method is a mathematical procedure that generates a sequence of improving approximate solutions for a class of problems.
A specific implementation of an iterative method, including the termination criteria, is an algorithm of the iterative method.
An iterative method is called convergent if the corresponding sequence converges for given initial approximations.
A mathematically rigorous convergence analysis of an iterative method is usually performed ; however, heuristic-based iterative methods are also common.
Because one operator and two operands are removed and one operand is added, there is a net loss of one operator and one operand, which still leaves an expression with N operators and N + 1 operands, thus allowing the iterative process to continue.
Although each particular level is credited to one runner, the ideas and techniques used are iterative and collaborative in nature, with each runner picking up tips and ideas from the others, so that speeds keep improving beyond what was thought possible as the runs are further optimized and new tricks or routes are discovered.
The process is then an iterative cycle of making a small program transformation, testing it to ensure correctness, and making another small transformation.
… this approach, the ultimate capability delivered to the user is divided into two or more blocks, with increasing increments of capability ... software development shall follow an iterative spiral development process in which continually expanding software versions are based on learning from earlier development.
Phase bias is a serious problem in such iterative model building.
" evolutionary processes, causation is iterative ; effects are also causes.
The word " number " is also used in linguistics to describe the distinction between certain grammatical aspects that indicate the number of times an event occurs, such as the semelfactive aspect, the iterative aspect, etc.
For example, for clock input, a loop process or an iterative statement is required.
There is also an extended " iterative " version of the game, where the classic game is played over and over, and consequently, both prisoners continuously have an opportunity to penalize the other for previous decisions.
In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

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