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

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

The simplest β-lactam possible is 2-azetidinone.

It is provided in the simplest possible way of such generic data, and comprises the back-bone of the database.

However, it is not obvious that the simplest possible choices for the extended " Grand Unified " symmetry should yield the correct inventory of elementary particles.

As it was designed to be the simplest possible stored-program computer, the only arithmetic operations implemented in hardware were subtraction and negation ; other arithmetic operations were implemented in software.

Because it is typically one of the simplest programs possible in most programming languages, it is by tradition often used to illustrate to beginners the most basic syntax of a programming language, or to verify that a language or system is operating correctly.

The simplest possible case is an isomerism

However, the simplest possible case is that only a genome exists.

Ptolemy ( c. AD 90 – c. AD 168 ) stated " We consider it a good principle to explain the phenomena by the simplest hypothesis possible ",.

There are other possible causes of an accelerating universe, such as quintessence, but the cosmological constant is in most respects the simplest solution.

In order to make such problems tractable to evolutionary search, they must be broken down into the simplest representation possible.

The simplest possible line code, called unipolar because it has an unbounded DC component, gives too many errors on such systems.

The simplest way to control the harmonic current is to use a filter: it is possible to design a filter that passes current only at line frequency ( 50 or 60 Hz ).

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.

This is the simplest possible threading implementation.

The simplest possible radiating source is a point source, sometimes called a simple source.

In an 1882 paper, Walther von Dyck pointed out that these groups have the simplest possible presentations.

On finer-grained sense distinctions, top accuracies from 59. 1 % to 69. 0 % have been reported in recent evaluation exercises ( SemEval-2007, Senseval-2 ), where the baseline accuracy of the simplest possible algorithm of always choosing the most frequent sense was 51. 4 % and 57 %, respectively.

In the simplest case, where a gene exists in two allelic forms ( designated A and B ), three combinations of alleles ( genotypes ) are possible: AA, AB, and BB.

" As for fractions, the simplest form is considered to be that in which the numbers in the ratio are the smallest possible integers.

For example, the simplest possible 5. 12 is denoted as a 1200.

More exactly, 1200 is the simplest possible 5. 12a, 1210 is a fairly easy 5. 12a, 1290 is a fairly difficult 5. 12d, and 1299 is the hardest possible 5. 12d.

This finds the best value that simultaneously meets two conflicting objects: To perform as well as possible on the training data and to find the simplest possible model.

The freely-jointed chain is the simplest model of a polymer.

* Ideal chain, in science, the simplest model describing a polymer

Polyglycolide or Polyglycolic acid ( PGA ) is a biodegradable, thermoplastic polymer and the simplest linear, aliphatic polyester.

* Freely Jointed Chain, the simplest model to describe a polymer.

Marbling is one of the simplest techniques used with polymer clay.

An ideal chain ( or freely-jointed chain ) is the simplest model to describe a polymer.

A 3D model of ethylene, the simplest alkene.

A 3D model of acetylene, the simplest alkyne

The simplest model for this that is in general agreement with observed phenomena is the Cold Dark Matter cosmology ; that is to say that clustering and merging is how galaxies gain in mass, and can also determine their shape and structure.

In the perspective of quantum mechanics, helium is the second simplest atom to model, following the hydrogen atom.

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.

Mathematically, the potential of the ion cores can be treated by various models, the simplest being the nearly free electron model.

The Cournot-Nash model is the simplest oligopoly model.

One of the simplest characterizations of the Pareto distribution, when used to model the distribution of incomes, says that the proportion of the population whose income exceeds any positive number x > x < sub > m </ sub > is

The simplest form of the particle in a box model considers a one-dimensional system.

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.

In its simplest form, the wave equation concerns a time variable, one or more spatial variables, and a scalar function, whose values could model the height of a wave.

The simplest model includes two systems of sub-levels: upper and lower.

The simplest model of Marfan syndrome suggests reduced levels of fibrillin-1 allow TGFβ levels to rise due to inadequate sequestration.

The simplest model for elliptic geometry is a sphere, where lines are " great circles " ( such as the equator or the meridians on a globe ), and points opposite each other ( called antipodal points ) are identified ( considered to be the same ).

In the simplest linear model of innovation the traditionally recognized source is manufacturer innovation.

Hence we create models to approximate the Earth's surface, generally relying on the simplest model that suits the need.

In the simplest case, one may consider an Ising model on an bipartite lattice, e. g. the simple cubic lattice, with couplings between spins at nearest neighbor sites.

Distance-matrix methods such as neighbor-joining or UPGMA, which calculate genetic distance from multiple sequence alignments, are simplest to implement, but do not invoke an evolutionary model.

The simplest genetic model involves a single locus with two alleles ( b and B ) affecting one quantitative phenotype.

* The rectangular function, the normalized boxcar function, is the next simplest step function, and is used to model a unit pulse.

The simplest non-trivial examples are the exponential growth model / decay ( one unstable / stable equilibrium ) and the logistic growth model ( two equilibria, one stable, one unstable ).