In the sciences and engineering, the process of decomposing a function into simpler pieces is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis.

One of Rousseau's last pieces of writing was a critical yet enthusiastic analysis of Gluck's opera Alceste.

" Another emphasis on the musicality of the poem came in August 1834, with Henry Nelson Coleridge analysis in the Quarterly Review: " In some of the smaller pieces, as the conclusion of the ' Kubla Khan ', for example, not only the lines by themselves are musical, but the whole passage sounds all at once as an outburst or crash of harps in the still air of autumn.

In RFLP analysis, the DNA sample is broken into pieces ( digested ) by restriction enzymes and the resulting restriction fragments are separated according to their lengths by gel electrophoresis.

Additionally, many pieces of retail software come with an end-user license agreement ( EULA ) which typically prohibits decompilation, reverse engineering, analysis, modification, or circumventing of copy protection.

It is often useful ( or necessary ) to break up a system into smaller pieces for analysis.

He looked to the three dozen prose pieces Serling had published as a basis for literary analysis.

For example, in chess, moves that take pieces may be examined before moves that do not, or moves that have scored highly in earlier passes through the game-tree analysis may be evaluated before others.

Metaphor and figurative description may be a part of analysis, and a metaphor used to describe pieces, " reifies their features and relations in a particularly pungent and insightful way: it makes sense of them in ways not formerly possible.

An analysis can be conducted on a single piece of music, on a portion or element of a piece or on a collection of pieces.

For example, in the sentence The old woman eats the falafel, the c-structure analysis is that this is a sentence which is made up of two pieces, a noun phrase ( NP ) and a verb phrase ( VP ).

Finding a combinational objective allows the player to focus all his energies on efficient execution, that is, the player ’ s analysis may be limited to the pieces directly partaking in the combination.

SWOT analysis groups key pieces of information into two main categories:

The presence of production materials and mis-cast pieces along with the results of chemical compositional and micro structural analysis support the idea that the

The goal of system analysis is to determine where the problem is in an attempt to fix the system. This step involves breaking down the system in different pieces to analyze the situation, analyzing project goals, breaking down what needs to be created and attempting to engage users so that definite requirements can be defined.

For most games, retrograde analysis is only feasible in late game situations of reduced complexity, such as a chess position where few pieces remain in play.

He travelled to the camp, collected multiple pieces of brick from the remains of the crematoria and gas chambers ( without the camp's permission ), brought them back to the United States, and submitted them for chemical analysis.

This convinced many in the field that part-of-speech tagging could usefully be separated out from the other levels of processing ; this in turn simplified the theory and practice of computerized language analysis, and encouraged researchers to find ways to separate out other pieces as well.

Link analysis here provides the crucial relationships and associations between very many objects of different types that are not apparent from isolated pieces of information.

Within the OEA is the News and Information office ( provides EWC research findings, opinion pieces, and analysis of issues to journalists and the public ), the Arts Program ( presents performances and exhibitions illuminating the cultural values and art forms of national and ethnic traditions in the region ), and the Alumni Office ( works with an international network of professionals from more than 50 countries who have had a past affiliation with the EWC ).

Where possible, pieces of wood in good condition, or the worked ends of pegs, were taken away and conserved for later analysis.

saharan sites Jacques Tixier noted that none of the pieces showed traces of intentional use, this finding confirms the finding of the analysis of European pieces.

Modern mining processes involve prospecting for ore bodies, analysis of the profit potential of a proposed mine, extraction of the desired materials and finally reclamation of the land to prepare it for other uses once the mine is closed.

This includes mine planning to evaluate the economically recoverable portion of the deposit, the metallurgy and ore recoverability, marketability and payability of the ore concentrates, engineering concerns, milling and infrastructure costs, finance and equity requirements and an analysis of the proposed mine from the initial excavation all the way through to reclamation.

Once the analysis determines a given ore body is worth recovering, development begins to create access to the ore body.

This includes mine planning to evaluate the economically recoverable portion of the deposit, the metallurgy and ore recoverability, marketability and payability of the ore concentrates, engineering, milling and infrastructure costs, finance and equity requirements and a cradle to grave analysis of the possible mine, from the initial excavation all the way through to reclamation.

Modern mining processes involve prospecting for ore bodies, analysis of the profit potential of a proposed mine, extraction of the desired materials and finally reclamation of the land to prepare it for other uses once the mine is closed.

This may involve chemical analysis of the ore to determine the composition of the sample.

A preliminary study shortly after the discovery of the deposit examines the market conditions such as the supply and demand of the mineral, the amount of ore needed to be moved to recover a certain quantity of that mineral as well as analysis of the cost associated with the operation.

The fact that decisions on new gold mines of critical importance to the State and the economy as a whole, were being taken on a limited number of drillholes without any scientific analysis of the risks of failure, stimulated him to start basic research into ore evaluation.

Müller as the Austrian chief surveyor of mines in Transylvania was responsible for the analysis of ore samples.

( Golden objects found in Harappa and Mohenjo-daro have been traced to KGF through impurities analysis — the impurities include 11 % silver concentration, found only in KGF ore .) During the Chola period in the 9th and 10th century A. D., the scale of the operation grew.

The rise and subsequent decline of the American steel industry at Pittsburgh introduces a host of complex economic concepts necessary to understand why that particular activity centered in this particular place, including the notions of classical Weberian location analysis for more than one input, the Pittsburgh Plus system for maintaining advantageous freight costs to ship to the market, vertical integration and supply innovations such as the development of the Mesabi Range, the ore freighter as a transport vehicle, and the construction of the Soo Locks.

# Several petrological investigations such as ore petrological work on selected metalliferous deposits for unravelling the environment for ore-forming process, analysis of subsurface sediments and water in arsenic-affected areas to mitigate the arsenic pollution problem are some of the studies being pursued in the Department.

Coster is known as the co-discoverer of Hafnium ( Hf ) ( element 72 ) in 1923, along with George Charles von Hevesy, by means of X-ray spectroscopic analysis of zirconium ore.

Archaeological findings of silver and lead objects together with litharge pieces and slag have been studied in a variety of sites, and metallurgical analysis suggests that by then people were confidently extracting silver from lead ores so the method would have been known earlier.

I have found, time and again, that some bit of particularly annoying and intractable behavior on the part of a patient rests, in the final analysis, on this basis ; ;

Fuller's last filmed interview took place on April 3, 1983, in which he presented his analysis of Simon Rodia's Watts Towers as a unique embodiment of the structural principles found in nature.

The data is often found to contain considerable variability, or noise, and thus Hidden Markov model and change-point analysis methods are being developed to infer real copy number changes.

Another type of data that requires novel informatics development is the analysis of lesions found to be recurrent among many tumors

An analysis by a veterinarian of 300 reported victims of the chupacabra found that they had not been bled dry.

With the expansion of the mass media and mass / popular culture in the 1960s and 1970s and the blending of social and cultural criticism and literary criticism, the methods of both kinds of critical theory sometimes intertwined in the analysis of phenomena of popular culture, as in the emerging field of cultural studies, in which concepts deriving from Marxian theory, post-structuralism, semiology, psychoanalysis and feminist theory would be found in the same interpretive work.

An analysis of the sediment samples collected by Kaiko found large numbers of simple organisms at.

The conceptions of learning he found most useful in his own detailed analysis of " classroom learning " came from cognitive anthropologists Jean Lave ( situated learning ) and Edwin Hutchins ( distributed cognition ).

A 2007 analysis of 1016 systematic reviews from all 50 Cochrane Collaboration Review Groups found that 44 % of the reviews concluded that the intervention was " likely to be beneficial ", 7 % concluded that the intervention was " likely to be harmful ", and 49 % concluded that evidence " did not support either benefit or harm ".

The fitted line is found using regression analysis.

While Pollock's paintings appear to be composed of chaotic dripping and splattering, computer analysis has found fractal patterns in his work.

Elderly people are more sensitive to these side effects and a meta analysis found that the risks generally outweigh any marginal benefits of hypnotics in the elderly.

In 2007 analysis of cut marks on two bovid bones found in Sangiran, showed them to have been made 1. 5 to 1. 6 million years ago by clamshell tools, and is the oldest evidence for the presence of early man in Indonesia.

An analysis of census data found that nearly eight million immigrants entered the United States from 2000 to 2005, more than in any other five-year period in the nation's history ; 3. 7 million of them entered illegally.

He found that his results depend on the dielectric permittivity of water, which is related to the composition and spectral analysis of water.

He claimed to have found some footprints but when the footprints were sent to scientists for analysis, they turned out to be hippopotamus footprints.

The study of bog bodies, including these found in Lindow Moss, have contributed to a wider understanding of well-preserved human remains, helping to develop new methods in analysis and investigation.

An academic content analysis of election news later found that coverage at ABC, CBS, and NBC was more favorable toward Kerry than Bush, while coverage at Fox News Channel was more favorable toward Bush.

For example, the atomic weight of lithium as found by isotopic analysis of 39 lithium reagents from several manufacturers varied from 6. 939 to 6. 996.

It was later found, through numerical analysis, that this was due to numerical instability.

In his above-mentioned account, he introduced the bra-ket notation, together with an abstract formulation in terms of the Hilbert space used in functional analysis ; he showed that Schrödinger's and Heisenberg's approaches were two different representations of the same theory, and found a third, most general one, which represented the dynamics of the system.

No chemical analysis was possible at the time, but helium was later found to be a noble gas.

A neutron on its own is unstable ( see below ), but they can be found in nuclear reactions ( see neutron radiation ) and are used in scientific analysis ( see neutron scattering ).

Oliver Heaviside FRS ( ( 18 May 1850 – 3 February 1925 ) was a self-taught English electrical engineer, mathematician, and physicist who adapted complex numbers to the study of electrical circuits, invented mathematical techniques to the solution of differential equations ( later found to be equivalent to Laplace transforms ), reformulated Maxwell's field equations in terms of electric and magnetic forces and energy flux, and independently co-formulated vector analysis.

By careful analysis of the observation data, Johannes Kepler found the planets ' orbits to be not circular, but elliptical.