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When applying spectral methods to time-dependent PDEs, the solution is typically written as a sum of basis functions with time-dependent coefficients ; substituting this in the PDE yields a system of ODEs in the coefficients which can be solved using any numerical method for ODEs.
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When and applying
When applying link-state algorithms, each node uses as its fundamental data a map of the network in the form of a graph.
When applying the supersonic area rule, the condition that the plane defining the cross-section meet the longitudinal axis at the Mach angle μ no longer prescribes a unique plane for μ other than the 90 ° given by M
When he returned to Poland he began applying for legal positions with little success.
When a crystal of quartz is properly cut and mounted, it can be made to distort in an electric field by applying a voltage to an electrode near or on the crystal.
When applying prefixes to derived units of area and volume that are expressed in terms of units of length squared or cubed, the square and cube operators are applied to the unit of length including the prefix, as illustrated here:
When the patient enters the operating room, the skin surface to be operated on, called the operating field, is cleaned and prepared by applying an antiseptic such as chlorhexidine gluconate or povidone-iodine to reduce the possibility of infection.
When Stone Age humans first took a sliver of flint to tip the spear, it was the first example of applying technology to improve the weapon.
When applying for a loan ( mortgage, consumer loan ), lenders may take into consideration a high-income applicant's discretionary income in order to assess the loan repayment capacity of the applicant.
When eradication has been unsuccessful and the disease has become established, management options include replacing susceptible citrus cultivars with resistant cultivars, applying preventive sprays of copper-based bactericides, and destroying infected trees and all surrounding trees within an appropriate radius.
When applying a transform to a surface it is sometimes convenient to derive normals for the
When applying the rule to current in a straight wire for example, the direction of the magnetic field ( counterclockwise instead of clockwise when viewed from the tip of the thumb ) is a result of this convention and not an underlying physical phenomenon.
When applying the Riemann constant in sigma mathematics, or when using integrals, it is a common practice to apply the quadratic function when ascertaining the equation's alpha variable.
# When Westminster is considering legislation applying to Scotland but which relates to both devolved and reserved matters, where it would otherwise be necessary for the Scottish Parliament to legislate to complete the jigsaw.
When applying to the state, it should be understood as the Lie derivative if the vector bundle is equipped with non-vanishing connection.
When used for food preparation, the main uses are slicing ( cutting by drawing the blade across the object, applying light pressure ) and chopping ( cutting by pushing the blade through object ), with some piercing ( using the tip to cut through the surface ).
When held fixed in a gravitational field by, for example, applying a ground reaction force or an equivalent upward thrust, the reference frame for an accelerometer ( its own casing ) accelerates upwards with respect to a free-falling reference frame.
( When applying for the job, he reported himself as a member of the Evangelical Lutheran Church ; three years earlier his CV had said he was of Jewish faith.
When applying Buddhist philosophy to the question of homosexuality, western Buddhists often emphasize the importance the Buddha placed on tolerance, compassion, and seeking answers within one's self.
When applying for a firearm certificate, justification must be provided to the police for each firearm, and they are individually listed on the certificate by type, calibre, and serial number.
When space efficiency is not a concern, these schemes can be used to reveal a secret to any desired subsets of the players simply by applying the scheme for each subset.
When applying a siphon to any application it is important that the piping be as closely sized to the requirement as possible.
When applying to gymnasium ( high schools ) or universities, a meritvärde, “ meritous point value ”, is calculated.
When they audition for the school, they can audition for more than one department and may be accepted for multiple departments but when applying must choose one.
When applying for many jobs, employers will often request a copy of the DD 214.
When and spectral
When he plotted the spectral types of these stars against their absolute magnitude, he found that dwarf stars followed a distinct relationship.
When ordered by temperature and when duplicate classes were removed, the spectral types of stars followed, in order of decreasing temperature with colors ranging from blue to red, the sequence O, B, A, F, G, K and M. ( A popular mnemonic for memorizing this sequence of stellar classes is " Oh Be A Fine Girl / Guy, Kiss Me ".
In the special case that M is a normal matrix, which by definition must be square, the spectral theorem says that it can be unitarily diagonalized using a basis of eigenvectors, so that it can be written for a unitary matrix U and a diagonal matrix D. When M is also positive semi-definite, the decomposition is also a singular value decomposition.
When using a film whose spectral sensitivity is not a good match to that of the light meter, for example orthochromatic black-and-white or infrared film, the meter may require special filters and re-calibration to match the sensitivity of the film.
When the spectral lines are absorption lines, the effect is called inverse Zeeman effect.
When not being woven into the Pattern, or fighting in spectral form, she and all the other heroes of the Wheel reside in Tel ' aran ' rhiod, and it was there that she first made her acquaintance with Elayne Trakand and Nynaeve al ' Meara.
When the absolute magnitude for a group of stars is plotted against the spectral classification of the star, in a Hertzsprung-Russell diagram, evolutionary patterns are found that relate to the mass, age and composition of the star.
When the properties of that exhaust are measured, such as its thermal energy, spectral analysis of its light ( i. e., spectrometry ), etc., those properties become a new signature in the MASINT database.
When this is done for radiation incident on a surface, it is called spectral irradiance, and has SI units W / m < sup > 3 </ sup >, or commonly W · m < sup >− 2 </ sup >· nm < sup >− 1 </ sup >.
When astronomers developed the spectral classification of the carbon stars, they had considerable difficulty when trying to correlate the spectra to the stars ' effective temperatures.
When the others split up and search the basement for Bobby, despite Dennis's protests, the psychic manages to use a pair of spectral viewers-which allow the wearer to see into the supernatural realm-to convince Maggie of the ghosts by using them to show her the Hammer in its cell.
When viewed in the frequency domain, it is evident that the matched filter applies the greatest weighting to spectral components that have the greatest signal-to-noise ratio.
When properly adjusted it can alter the spectral phase φ ( ω ) of the input pulse so that the output pulse is a bandwidth-limited pulse with the shortest possible duration.
When killed, enemies leave behind souls that replenish Raziel's health, which automatically decreases in the material realm and increases in the spectral.
When later quantum theory essentially also recovered Bohr's formula for energy of spectral lines, Moseley's law became incorporated into the full quantum mechanical view of the atom, including the role of the single 1s electron which remains in the K shell of all atoms after another K electron is ejected, according to the Schroedinger equation prediction.
When used in multiple-laser systems, intrapulse QCL spectroscopy offers broadband spectral coverage that can potentially be used to identify and quantify complex heavy molecules such as those in toxic chemicals, explosives, and drugs.
When and methods
When the Input/Output Control System is to be used in a program, a DIOCS statement must be used to select the major methods of processing to be used.
When debates polarise between techniques, the methods are often referred to by a colour code, based on the colours of the bindings of the two volumes from the first Oxford Conference, where the approaches were first distinguished.
When results from different strong methods do appear to conflict, this is treated as a serious problem to be reconciled.
When other methods of calculation are used, it is conventional ( although not obligatory ) to quote the results on a scale that covers the same range of numerical values: this is known as an electronegativity in Pauling units.
When pharmacological methods fail, a purpose-designed external vacuum pump can be used to attain erection, with a separate compression ring fitted to the penis to maintain it.
When methods of trade do not conflict with given standards or ethical procedures, individuals naturally seek mutually advantageous vote trades.
# Structured prediction: When the desired output value is a complex object, such as a parse tree or a labeled graph, then standard methods must be extended.
# Learning to rank: When the input is a set of objects and the desired output is a ranking of those objects, then again the standard methods must be extended.
When comparing two hypotheses and using some information, frequency methods would typically result in the rejection or non-rejection of the original hypothesis at a particular significance level, and frequentists would all agree that the hypothesis should be rejected or not at that level of significance.
When it was no longer possible to rely on design evolution to improve upon a system and the existing tools were not sufficient to meet growing demands, new methods began to be developed that addressed the complexity directly.
When armed with a rifle, two methods are available when saluting.
When it became clear that Soviet missiles could successfully bring down high flying aircraft, the V bomber force changed to low-level attack methods.
When these methods were used, a number of false stigmatics were exposed.
When this is not available ( e. g. because a court order may be needed and not obtainable ) other methods may need to be used to collect a sample of blood, saliva, semen, or other appropriate fluid or tissue from personal items ( e. g. toothbrush, razor, etc.
When properly administered, collaboration can result in more meaningful participation and better, more creative outcomes to persistent problems than can traditional participation methods.
When it was revived by Tartaglia and others in the 16th century, it became the basis for quantitative work in science for a century, until it was replaced by the algebraic methods of Descartes.
When using the natural release method for foods such as potatoes, the cooking time on the heat source is shorter than that of the other release methods.
Hicks later agreed that the model missed important points of Keynesian theory, criticizing it as having very limited use beyond " a classroom gadget ", and criticizing equilibrium methods generally: " When one turns to questions of policy, looking towards the future instead of the past, the use of equilibrium methods is still more suspect.
When Monte Carlo simulations have been applied in space exploration and oil exploration, their predictions of failures, cost overruns and schedule overruns are routinely better than human intuition or alternative " soft " methods.
When the body temperature is significantly elevated, mechanical methods of cooling are used to remove heat from the body and to restore the body's ability to regulate its own temperatures.
When the problem has substantial uncertainties in the independent variable ( the ' x ' variable ), then simple regression and least squares methods have problems ; in such cases, the methodology required for fitting errors-in-variables models may be considered instead of that for least squares.
When applicable, the method takes far less time than naive methods.
When Stryker leads his squad in the invasion of Tarawa, the men begin to appreciate his methods, except Conway, who considers him brutal and unfeeling when he apparently abandons a wounded comrade to the enemy.
" When Eliot visited schools, he took an interest in every aspect of institutional operation, from curriculum and methods of instruction through physical arrangements and custodial services.
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