Such temperature changes can be quantified using the ideal gas law, or the hydrostatic equation for atmospheric processes.

Such a vector field serves to define a generalized ordinary differential equation on a manifold: a solution to such a differential equation is a differentiable curve on the manifold whose derivative at any point is equal to the tangent vector attached to that point by the vector field.

Such an equation can be solved by writing as a nonlinear transformation of another variable which itself evolves linearly.

Such formulae are the key to solving an equation with variables.

Such an integral equation is known as a Fredholm integral equation, the study of which constitutes Fredholm theory.

Such equations can only be solved exactly if they happen to have some other simplifying property, for instance linearity or dependence of the right side of the equation on the dependent variable only ( i. e., not its derivatives ).

Such a Green's function is usually a sum of the free-field Green's function and a harmonic solution to the differential equation.

Such is the importance of the B constant value, that it is possible to characterize NTC thermistors using the B parameter equation:

Such a wave function of the Universe can be shown to satisfy the Wheeler – DeWitt equation.

Such a system may be written as a single vector equation

Such a spacetime can be interpreted as an exact solution of Einstein's field equation, in which the only mass-energy present in the spacetime is due to some kind of massless radiation.

Such systems can be described by attributing a potential ( such as the Yukawa potential ) to the nucleons and using the potentials in a Schrödinger equation.

Such planning will require the cooperation of other occupants and of the apartment management.

Such loans under Section 104 ( E ) of the Act will be made to United States business firms and branches, subsidiaries, or affiliates of such firms in India for business development and trade expansion in India and to United States firms and to Indian firms for the establishment of facilities for aiding in the utilization, distribution, or otherwise increasing the consumption of and markets for United States agricultural products.

Such liquids will rise to a considerable height above the surface around the chamber before they will flow out of the chamber.

Such extra-thick insulation not only permits a much smaller cooling installation, but will continue to reduce operating expenses both in heating and cooling.

Such a man must be able and willing to give clear and sensible advice to the whole group, a person in whom all the member nations will have absolute confidence.

Such instruments are generally calibrated to indicate the RMS value for a sine wave only but some designs will indicate true RMS ( sometimes with limitations as to wave shape ).

" Such attributes may also relate to temporary conditions as well as inherent qualities: " I will be tired after running.

Such a spectrometer will also be used by the Philae lander of the Rosetta spacecraft to probe the surface of the 67P / Churyumov-Gerasimenko comet.

Such formats usually include throwaway panels at the beginning, which some newspapers will omit for space.

Such a definition can be formulated in terms of equivalence classes of smooth functions on M. Informally, we will say that two smooth functions f and g are equivalent at a point x if they have the same first-order behavior near x.

Such a case will result in undesired operation, such as changing the number's value to − 127 instead of + 128.

Such a field will usually be represented by one or more scientific journals, where peer reviewed research is published.

Such web-proxies can inspect both the initial request and the returned web page using arbitrarily complex rules and will not return any part of the page to the requester until a decision is made.

Such confidence in the group to find the ground truth is explicable through the success of wisdom of the crowd based inferences, however, if there is no access to the ground truth, as there was not in this model, the method will fail.

" Such a faith will not be salvific until a person has allowed it to effect a life transforming conversion ( turning towards God ) in their being ( see Ontotheology ).

" Such a question is a euphemism for " Is your body clothed to the extent that you will feel comfortable if I enter and see you?

Such things as what attributes and skills will define characters are left to be determined by the Game Master and players, and several different optional systems for resolving actions and conflicts are offered.

Such thoughts will stimulate to get rid of the existing karmas by one's own efforts and lead a peaceful life of co-existence.

Such names are inherited from father to son ; but a sonless Roman aristocrat quite commonly adopted an heir, who would also take the family name-this could be done in his will.

Such remains will be known as the Kennewick Man.

Such a question may be asked merely to harass or upset the respondent with no intention of listening to their reply, or asked with the full expectation that the respondent will predictably deny it.

Such a field will usually be represented by one or more scientific journals, where peer reviewed research is published.

Such a field will usually be represented by one or more scientific journals, where peer reviewed research is published.

Such teams could be selected to play in a match against an opposing team, to represent a football club, group, state or nation, an All-star team or even selected as a hypothetical team ( such as a Dream Team or Team of the Century ) and never play an actual match.

Such genes are called retrogenes and represent a certain type of retroposons.

Such assets represent a serious problem for purchasers because of their complexity.

Such areas may represent a gay-friendly oasis in an otherwise hostile city, or may simply have a high concentration of gay residents and / or businesses.

Such objects represent some of the most extreme and energetic physical processes in the universe.

Such social actions are not necessarily monetarised, but they represent an extension of the market principle into non-economic area of life-again typical for neoliberalism "

Such numbers are often used to represent the amount of a loss or absence.

Such merchandise may not be produced anymore, and the new old stock may represent the only market source of a particular item at the present time.

Such items generally cannot be transferred and are often used only as a means to represent a Premium subscription via a method which is easily integrated into the game engine.

Such national legislative politics in communist states often have a similar structure to the parliaments that exist in liberal republics, with two significant differences: first, the deputies elected to these national legislative bodies are not expected to represent the interests of any particular constituency, but the long-term interests of the people as a whole ; second, against Marx's advice, the legislative bodies of communist states are not in permanent session.

" Such document preparation is indeed cost-saving for those who truly want to represent themselves in a legal matter, but want to pay someone to create the required documents.

Such systems represent completely overlapping lines, or curves, etc.

Such payments may be required to represent the market value of the existing state of development, or may be computed under cost recovery or market capitalization models.

Such a distribution might be used to represent the distribution of the maximum level of a river in a particular year if there was a list of maximum values for the past ten years.

Such groups include corporations that contract prison labor, construction companies, surveillance technology vendors, lawyers, and lobby groups that represent them.

Such aspiration would represent a serious risk of complications to patients recovering from this surgery.

Such satires deal less with human characters than with the single-minded mental attitudes, or " humours ", that they represent: the pedant, the braggart, the bigot, the miser, the quack, the seducer, etc.

Such shortcuts often represent a series of smaller shortcuts, strung together to create a larger action.

Such graphs can be used to represent and analyze a variety of systems and problems, including colorability problems, shortest path algorithms and spanning trees.

Such a shift would represent a return to the old British Rail model, but implemented by non-government organisations and franchise holders.

Such groups as Basic Element ( active in the 1990s as well ), Alcazar, Scooter, Ian Van Dahl, Milk Inc., Merzedes Club, Infernal, Special D, Groove Coverage, Santamaria, Cascada, Sylver, Danijay, Eiffel 65, Colonia, and solo artists such as Madonna ( e. g. Hung Up single ), Kate Ryan, Luca Zeta, Gabry Ponte, DJ Aligator, Máni Svavarsson, Lucas Prata and O-Zone, represent some of the best of the second generation of Eurodance artists.

Such higher-order terms are required in order to accurately represent the displacement function as a sum of an infinite series, enabling several analytical techniques in engineering and physics.

Such upside-down coins have been sold on auction websites for greater than their face value, even though they represent roughly 50 % of the minted population.

Such finds are made in Hallstatt culture sites, and presumably represent graves.