Many fundamental questions of craftsmanship versus mass production, the relationship of usefulness and beauty, the practical purpose of formal beauty in a commonplace object, and whether or not a single proper form could exist, were argued out among its 1, 870 members ( by 1914 ).

Many philosophies and worldviews have a set of classical elements believed to reflect the simplest essential parts and principles of which anything consists or upon which the constitution and fundamental powers of anything are based.

Many fundamental questions about Mersenne primes remain unresolved.

Many find it extremely counterintuitive to suppose that fundamental physical systems have phenomenal properties: e. g. that there is something it is like to be an electron ".

Many Protestant Christian groups hold that only believers which believe in certain fundamental doctrines know the true pathway to salvation.

Many theoretical physicists ( e. g., Stephen Hawking, Edward Witten, Juan Maldacena and Leonard Susskind ) believe that string theory is a step towards the correct fundamental description of nature.

Many fundamental physical laws are mathematical consequences of various symmetries of space, time, or other aspects of nature.

Many lasers emit beams that approximate a Gaussian profile, in which case the laser is said to be operating on the fundamental transverse mode, or " TEM < sub > 00 </ sub > mode " of the laser's optical resonator.

Many supporters of gun-rights consider self-defense to be a fundamental and inalienable human right and believe that firearms are an important tool in the exercise of this right.

Many fundamental and applied scientific research laboratories are conjointly managed by Joseph Fourier University, Grenoble Institute of Technology, and the French National Centre for Scientific Research ( CNRS ).

Many speculators pay little attention to the fundamental value of a security and instead focus purely on price movements.

Many fundamental tasks in mathematics, geometry, trigonometry, graph theory and graphing are performed in a two-dimensional space, or in other words, in the plane.

Many philosophers consider ideas to be a fundamental ontological category of being.

Many of Prandtl's students went on to make fundamental contributions to aerodynamics.

Many commentators believe that there was a fundamental shift in television advertising from the unbridled consumerism and egoism of the 1980s to what is sometimes termed a more " caring " approach in the 1990s.

Many myths, legends and fairy tales make use of this motif as a central element of narratives that are designed to illustrate inexorable fate, fundamental to the Hellenic world-view.

Many real polynomials of even degree do not have a real root, but the fundamental theorem of algebra states that every polynomial of degree n has n complex roots, counted with their multiplicities.

Many residents of the village under the banner " Citizens for Fairness " successfully fought the motion on the principle that the majority of citizens, by ballot, should decide such a fundamental change.

Many proofs of the irrationality of the square roots of non-square natural numbers implicitly assume the fundamental theorem of arithmetic, which was first proven by Carl Friedrich Gauss in his Disquisitiones Arithmeticae.

Many common role-playing techniques can enhance the enjoyment of a particular GNS mode at the expense of others, but the fundamental incompatibilities between each are actually very high-level.

Many pure-methodology implementations fail to deliver the anticipated benefits due to lack of integration with fundamental CPM processes.

Many fundamental papers on restoration ( 1954 – 1962 ), interferometry ( 1958 – 1974 ) and reconstruction ( 1956 – 1961 ) appeared along with instrumental and observational papers.

Many constitutions acknowledge the fundamental right to environmental protection, and many international treaties acknowledge the right to live in a healthy environment.

Many of its applications lie in the field of computer-human interaction ( CHI ) and the fundamental devices of recognition ( work at the Institute for Advanced Science & Engineering in California ).

Many head units also feature a DSP component, and equalization component ( such as bass and treble controls ), or a control interface for another feature on the car ( such as a back-up / parking camera, navigation system, trip odometer, etc.

Many DSP applications have constraints on latency ; that is, for the system to work, the DSP operation must be completed within some fixed time, and deferred ( or batch ) processing is not viable.

Many plug-ins, particularly those which run on DSP Cards such as UAD-1 or Powercore, cannot process their audio within a 1-sample time period and therefore introduce extra latency into the system.

Many were former DSP supporters who were angry at the economic crisis that many blamed on the Ecevit government.

Many of Mathew's implementations ( such as using pre-calculated arrays for waveform and envelope storage, the use of a scheduler that runs in musical time rather than at audio rate ) are the norm for most hardware and software synthesis and audio DSP systems today.

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.

Many algorithms for computing Delaunay triangulations rely on fast operations for detecting when a point is within a triangle's circumcircle and an efficient data structure for storing triangles and edges.

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 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.