Many computer programs contain algorithms that detail the specific instructions a computer should perform ( in a specific order ) to carry out a specified task, such as calculating employees ' paychecks or printing students ' report cards.

Many ciphers are based on publicly known algorithms or are open source, and so it is only the difficulty of obtaining the key that determines security of the system, provided that there is no analytic attack ( i. e., a ' structural weakness ' in the algorithms or protocols used ), and assuming that the key is not otherwise available ( such as via theft, extortion, or compromise of computer systems ).

Many rendering algorithms have been researched, and software used for rendering may employ a number of different techniques to obtain a final image.

Many of these algorithms use convolution with the filter 1 to slightly whiten or flatten the spectrum, thereby allowing traditional lossless compression to work more efficiently.

The best-known FFT algorithms depend upon the factorization of N, but there are FFTs with O ( N log N ) complexity for all N, even for prime N. Many FFT algorithms only depend on the fact that is an th primitive root of unity, and thus can be applied to analogous transforms over any finite field, such as number-theoretic transforms.

Many people have tried to find classical polynomial-time algorithms for it and failed, and therefore it is widely suspected to be outside P.

Many algorithms, including Support Vector Machines, linear regression, logistic regression, neural networks, and nearest neighbor methods, require that the input features be numerical and scaled to similar ranges ( e. g., to the interval ).

Many great mathematicians of the past were preoccupied by numerical analysis, as is obvious from the names of important algorithms like Newton's method, Lagrange interpolation polynomial, Gaussian elimination, or Euler's method.

Many different classes of machine learning algorithms have been applied to NLP tasks.

Many algorithms will only give the correct answer with a certain probability.

Many algorithms rely on a huge pre-generated database, and are effectively nothing more than that.

Many boosting algorithms fit into the AnyBoost framework, which shows that boosting performs gradient descent in function space using a convex cost function.

Many algorithms use orthogonal matrices like Householder reflections and Givens rotations for this reason.

* Many string algorithms including longest common subsequence, longest increasing subsequence, longest common substring, Levenshtein distance ( edit distance ).

Many common pattern recognition algorithms are probabilistic in nature, in that they use statistical inference to find the best label for a given instance.

Many sequence alignment methods such as ClustalW also create trees by using the simpler algorithms ( i. e. those based on distance ) of tree construction.

Many fundamental DSP algorithms, such as FIR filters or the Fast Fourier transform ( FFT ) depend heavily on multiply – accumulate performance.

Many softsynths use mathematical algorithms which directly emulate the electronic components and circuitry of the original hardware synthesizer.

Many topological sorting algorithms will detect cycles too, since those are obstacles for topological order to exist.

Many variants of the algorithms are obtained by choosing something other than a sphere for.

Many photo editing programs, for instance, have proprietary JPEG artifact reduction algorithms built-in.

Many integrated development environments ( IDEs ) support some form of automatic source code generation, often using algorithms in common with compiler code generators, although commonly less complicated.

Many readers of this department no doubt discount certain of my opinions for the simple reason that they can guess pretty accurately, even if they have never actually been told, what my age is.

Many thanks for a job well done.

Many of the individual projects for which development assistance is required call for expenditures over lengthy periods.

Many mills have already placed firm orders for this machine.

Many cells, bacteria, and other microorganisms are transparent to visible light and must be stained for microscopic investigation.

Good service starts with product design and planning: Many products seem to be designed for a production economy, not for a service one.

Many of them appear to drop out, for one reason or another.

Many of them paid for their curiosity with their lives, for some minutes later the first giant wave roared over the shore.

Many people use wicker cradles for old red wine, lifting the bottle carefully from the bin into the cradle and eventually to the table, without disturbing the sediment.

Many years later ( on August 3, 1915 ), Lucy Upton wrote Winslow's daughter soon to be graduated from Smith College: `` While I love botany which, after dabbling in for years, I studied according to the methods of that day exactly forty years ago in a summer school, it must be fascinating to take up zoology in the way you are doing.

Many churches find the Sunday school hour to be the most practical time for adult preparation classes.

Many of them had once been members of a church or at least had been given instruction in Christianity but for one or another reason had allowed the connexion to lapse.

Many American anthropologists adopted his agenda for social reform, and theories of race continue to be popular subjects for anthropologists today.

Many served in the armed forces, while others worked in intelligence ( for example, Office of Strategic Services and the Office of War Information ).

Many members of this family are cultivated for various purposes.

Many plants in this family, such as wild carrot, have estrogenic properties and have been used as a folk medicine for birth control.

Many of the settings for Agatha Christie ’ s books were directly inspired by the many archaeological field seasons spent in the Middle East on the sites managed by her second husband Max Mallowan.

Many architects and architectural firms focus on certain project types ( for example, health care, retail, public housing, event management ), technological expertise or project delivery methods.

Many religions, whether they believe in the soul's existence in another world like Christianity, Islam and many pagan belief systems, or in reincarnation like many forms of Hinduism and Buddhism, believe that one's status in the afterlife is a reward or punishment for their conduct during life.

Many ancient civilizations alloyed metals for purely aesthetic purposes.

Renaissance architects included Alberti, Brunelleschi and Bramante. Many of these artists came from Florence and it remained an important centre for the Renaissance into the 16th century eventually to be overtaken by Rome and Venice.