For rocks dating back to the beginning of the solar system, this requires extremely long-lived parent isotopes, making measurement of such rocks ' exact ages imprecise.

For ' city cars ' in Japan, the definition is informal and imprecise.

For legal purposes it was noted by the United States federal courts that " anal cleft or cleavage " and " cleavage of the female breast " are so imprecise as to provide no guidance in defining them.

For example, the Dutch theologian Kees de Groot explores the imprecise notion that psychotherapy is like an " implicit religion ", defined as a " fuzzy concept " ( it all depends on what one means by " psychotherapy " and " religion ").

For the case where the masses of two bodies are comparable, an exact Newtonian solution is still available, and qualitatively similar to the case of dissimilar masses, by centering the coordinate system on the center of mass of the two.

For specific problems effective theories may be written down which give qualitatively correct results in certain limits.

For strong interactions, it can give qualitatively different behavior from the tight-binding model, and correctly predicts the existence of so-called Mott insulators, which are prevented from becoming conducting by the strong repulsion between the particles.

For nearly degenerate determinants which build the ground state one should use the multi-configurational self-consistent field ( MCSCF ) method because the Hartree – Fock determinant is qualitatively wrong and so are the CI wave functions and energies.

Small Business Administration, What It Is, What It Does, SBA Services For Community Economic Development, and various other useful publications on currently important management, technical production, and marketing topics are available, on request, from Small Business Administration, Washington 25, D.C..

For this reason, ANOVAs are useful in comparing two, three, or more means.

For this reason, parallel computing is only useful for either small numbers of processors, or problems with very high values of P: so-called embarrassingly parallel problems.

For example, if a player has exactly 1 checker remaining on the 6-point, and rolls a 6 and a 1, the player may move the 6-point checker 1 place to the 5-point with the lower die roll of 1, and then bear that checker off the 5-point using the die roll of 6 ; this is sometimes useful tactically.

For example, programming language theory studies approaches to description of computations, while the study of computer programming itself investigates various aspects of the use of programming languages and complex systems, and human-computer interaction focuses on the challenges in making computers and computations useful, usable, and universally accessible to humans.

For example, sewage sludge has a low but significant calorific value, and burns to give ash containing minerals useful in the clinker matrix.

For example, if the static compression ratio is 10: 1, and the dynamic compression ratio is 7. 5: 1, a useful value for cylinder pressure would be ( 7. 5 )^ 1. 3 × atmospheric pressure, or 13. 7 bar.

For example they are useful for organizing online encyclopedias, where users can conveniently jump in the texts, in a controlled way, by using hyperlinks.

For these reasons, old encyclopedias are a useful source of historical information, especially for a record of changes in science and technology .< ref > Kobasa, Paul A.

For a more useful solution, we utilize vector identities, which work for any vector, as follows:

For practical purposes, it is useful to define a common reference point to which potentials may be expressed and compared.

For instance, a " Cat Familiar ," a slightly intelligent cat, is arguably worth 2 points for being Frequent ( usually around and often useful ) and Versatile ( able to scout, carry messages, and fight ).

For a useful interpretation of human reality, to share faith experience he said that we must each make certain " over-beliefs " in things which, while they cannot be proven on the basis of experience, help us to live fuller and better lives.

For these reasons, the distinction remains useful.

For this reason, however, ' narcotic ' has come to mean any illegally used drug, but it is useful as a shorthand for referring to a controlled drug in a context where its legal status is more important than its physiological effects.

For example, the " jerk " produced by falling from outer space to the Earth is not particularly useful given the gravitational acceleration changes very slowly.

For a better understanding of the liar paradox, it is useful to write it down in a more formal way.

For instance, the idea of turtle graphics is also useful in Lindenmayer system for generating fractals.

For example, components and modules are useful for large-scale programming, but the interaction of macros and these other constructs must be defined for their use together.

For example, eBay would not be a particularly useful site if auctions were not competitive.

For example a sequence might be written as ( a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub >, … ), or ( b < sub > 0 </ sub >, b < sub > 1 </ sub >, b < sub > 2 </ sub >, … ), or ( c < sub > 0 </ sub >, c < sub > 2 </ sub >, c < sub > 4 </ sub >, … ), depending on what is useful in the application.

For some of these features to be useful, architecture independence must be maintained.

For instance, they doubt that batting average is as useful as conventional wisdom says it is because team batting average provides a relatively poor fit for team runs scored.

For example, no new evidence will demonstrate that the Earth does not orbit around the sun ( heliocentric theory ), or that living things are not made of cells ( cell theory ), that matter is not composed of atoms, or that the surface of the Earth is not divided into solid plates that have moved over geological timescales ( the theory of plate tectonics )... One of the most useful properties of scientific theories is that they can be used to make predictions about natural events or phenomena that have not yet been observed.

For the most part, this discussion will be confined to results obtained since the introduction of the reference standard.

For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.

For the further discussion, we shall thus assume an electron optical resolution of 80 Af and phosphor screen resolution of 60 Af.

For all involved in this discussion the devil is a real entity who can really be confronted in the woods on a dark night, the demon world is populated with real creatures, and witches actually can be seen flying through the air.

For we have said, in effect, that of the two alternatives to his position variously represented by the other participants in the demythologizing discussion, only one is really an alternative.

For discussion of these " anionic amides ," see Metal amides # Alkali metal amides.

For a further discussion see Dominance ( genetics ).

For a brief discussion comparing such anti-realism to its opposite, realism, see ( Okasha 2002, ch.

For example, letters 1, 5, and 8 contain a discussion on the question, whether the use of a piece of metal with the figure of a lion, as a talisman, is permitted by Jewish law for medicinal purposes, or is prohibited as idolatrous.

For a detailed discussion of the differences including a more comprehensive table ( several essential tables are given below ) of Biblical scripture for both Testaments and the intertestamental period with regard to canonical acceptance in Christendom's various major traditions, see Wikipedia's article on " Biblical canon ".

: For a full discussion of the size of the Persian invasion force, see First Persian invasion of Greece

For example, most law students in the United States are required to take a class in Constitutional Law during their first year, and several law journals are devoted to the discussion of constitutional issues.

For example, in formal languages like mathematics, a ' stipulative ' definition guides a specific discussion.

The title, " Letter on the Blind For the Use of Those Who See ", also evoked some ironic doubt about who exactly were " the blind " under discussion.

For example, in a discussion of euthanasia presented in 2003 by the European Association of Palliative Care ( EPAC ) Ethics Task Force, the authors offered: " Medicalized killing of a person without the person's consent, whether nonvoluntary ( where the person in unable to consent ) or involuntary ( against the person's will ) is not euthanasia: it is murder.

For further discussion on this subject, see Premium efficiency and Copper in energy efficient motors.

For a more detailed discussion, see Hooker in ' Bibliography '.

For further discussion, see Exergy.

For a thorough discussion of the valves and the compensation system, see the article on brass instruments.

( For ease of discussion, this assumes body and source are connected.

For example, Hayek's discussion in The Road to Serfdom ( 1944 ) about truth, falsehood and the use of language influenced some later opponents of postmodernism.

For a full discussion of the different types, see Writing system: Functional classification of writing systems.

For example, there is a tradition in many newsgroups and other Internet discussion forums that once such a comparison is made, the thread is finished and whoever mentioned the Nazis has automatically lost whatever debate was in progress.

For a more elementary discussion of Galois groups in terms of permutation groups, see the article on Galois theory.

( For more discussion, read Robin Lane Fox's Travelling Heroes and Walcot's Hesiod and the Near East.