Reduced to its simplest terms, it is an assumption of a collective duty to compensate for the inability of individuals to cope with the rigors of the era.

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

Stated in its simplest terms, the main job of the Planning Division is to plan for the future of the State of Rhode Island.

The simplest division, and the one most frequently used ( with subdivisions ) in gas and electric rate cases, is a threefold division of the total operating and capital costs into `` customer costs '', `` energy '' or `` volumetric costs '', and `` demand '' or `` capacity '' costs.

Now time is also the concern of the fictional narrative, which is, at its simplest, the story of an action with, usually, a beginning, a middle, and an end -- elements which demand time as the first condition for their existence.

Instead of her old confidence in the simplest, purest, most moving musical expression, Miss Schwarzkopf is letting herself be tempted by the classic sin of artistic pride -- that subtle vanity that sometimes misleads a great artist into thinking that he or she can somehow better the music by bringing to it something extra, some personal dramatic touch imposed from the outside.

In its simplest form, the assumption of unit-treatment additivity states that the observed response from experimental unit when receiving treatment can be written as the sum of the unit's response and the treatment-effect, that is

The simplest possible alkane ( the parent molecule ) is methane, CH < sub > 4 </ sub >.

One of the simplest algorithms is to find the largest number in an ( unsorted ) list of numbers.

The simplest alcohol is methanol,, which was formerly obtained by the distillation of wood and, therefore, is called " wood alcohol ".

The configuration of six carbon atoms in aromatic compounds is known as a benzene ring, after the simplest possible such hydrocarbon, benzene.

Benzene, C < sub > 6 </ sub > H < sub > 6 </ sub >, is the simplest aromatic hydrocarbon and was recognized as the first aromatic hydrocarbon, with the nature of its bonding first being recognized by Friedrich August Kekulé von Stradonitz in the 19th century.

This " check yes or no " approach means approval voting is one of the simplest voting systems to use.

The simplest aliphatic compound is methane ( CH < sub > 4 </ sub >).

The simplest alkene is ethylene ( C < sub > 2 </ sub > H < sub > 4 </ sub >), which has the International Union of Pure and Applied Chemistry ( IUPAC ) name ethene.

The simplest example of this reaction is the catalytic hydrogenation of ethylene to yield ethane:

Propadiene, the simplest allene, is also known as allene.

In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.

The simplest way to gain information about brain anatomy is by visual inspection, but many more sophisticated techniques have been developed.

The simplest example is when the defensive team records two outs and makes an error on a play that would have been the third out.

The simplest type of carbohydrate is a monosaccharide, which among other properties contains carbon, hydrogen, and oxygen, mostly in a ratio of 1: 2: 1 ( generalized formula C < sub > n </ sub > H < sub > 2n </ sub > O < sub > n </ sub >, where n is at least 3 ).

When applied to the simplest two-electron molecule, H < sub > 2 </ sub >, valence bond theory, even at the simplest Heitler-London approach, gives a much closer approximation to the bond energy, and it provides a much more accurate representation of the behavior of the electrons as chemical bonds are formed and broken.

The simplest type of ab initio electronic structure calculation is the Hartree – Fock ( HF ) scheme, an extension of molecular orbital theory, in which the correlated electron – electron repulsion is not specifically taken into account ; only its average effect is included in the calculation.

One of the simplest models of reaction rate is the collision theory.

According to this theory, living beings were classified on an ideal pyramid that represented the simplest animals on the lower levels, with complexity increasing progressively toward the top, occupied by human beings.

Although general relativity is not the only relativistic theory of gravity, it is the simplest theory that is consistent with experimental data.

The simplest way to define infinite dimensional Lie groups is to model them on Banach spaces, and in this case much of the basic theory is similar to that of finite dimensional Lie groups.

" A common feature of all four multiverse levels is that the simplest and arguably most elegant theory involves parallel universes by default.

The simplest theory of operation for a pulley system assumes that the pulleys and lines are weightless, and that there is no energy loss due to friction.

Thus, although the current standard model of particle physics " in principle " predicts all known non-gravitational phenomena, in practice only a few quantitative results have been derived from the full theory ( e. g., the masses of some of the simplest hadrons ), and these results ( especially the particle masses which are most relevant for low-energy physics ) are less accurate than existing experimental measurements.

The simplest available theory need not be most accurate.

The philosopher of science Elliott Sober once argued along the same lines as Popper, tying simplicity with " informativeness ": The simplest theory is the more informative one, in the sense that less information is required in order to answer one's questions.

Since it is absurd to have no logical method by which to settle on one hypothesis amongst an infinite number of equally data-compliant hypotheses, we should choose the simplest theory: " either science is irrational the way it judges theories and predictions probable or the principle of simplicity is a fundamental synthetic a priori truth " ( Swinburne 1997 ).

Occam's razor is not an embargo against the positing of any kind of entity, or a recommendation of the simplest theory come what may.

As interpreted in contemporary scientific practice, " entities should not be multiplied beyond necessity " advises opting for the simplest theory among a set of competing theories that have a comparable explanatory power, discarding assumptions that do not improve the explanation.

The principle of falsifiability requires that any exception that can be reliably reproduced should invalidate the simplest theory, and that the next-simplest account which can actually incorporate the exception as part of the theory should then be preferred to the first.

In the Schrödinger theory, the simplest such object is the overall Hamiltonian, which represents the total energy of the system.

MHD theory is the simplest representation of a plasma, so MHD stability is a necessity for stable devices to be used for nuclear fusion, specifically magnetic fusion energy.

Assisted by the assumption that combination always takes place in the simplest possible way, he thus arrived at the idea that chemical combination takes place between particles of different weights, and it was this which differentiated his theory from the historic speculations of the Greeks, such as Democritus and Lucretius.

Real intervals play an important role in the theory of integration, because they are the simplest sets whose " size " or " measure " or " length " is easy to define.

This channel is used frequently in information theory because it is one of the simplest channels to analyze.