The case in the book of Ruth is not the simplest type of Levirate marriage ( Boaz is not Mahlon's brother ); therefore, some scholars refer to Boaz ’ s duty as " Levirate-like " or as a " kinsman-marriage.

In the simplest case, there is only one variable, and then the data set consists of a single column of values, often represented as a list.

In the simplest case an economy can produce just two goods ( say " guns " and " butter ").

Most of the attempts to lower or prove the complexity of FFT algorithms have focused on the ordinary complex-data case, because it is the simplest.

; Incidence matrix: The graph is represented by a matrix of size | V | ( number of vertices ) by | E | ( number of edges ) where the entry edge contains the edge's endpoint data ( simplest case: 1-incident, 0-not incident ).

The simplest way to decrease the effects of work hardening is to decrease the pressure in the case.

In the simplest case the injured person could allege that the driver went too fast, failed to control the car properly or failed to keep lookout.

In contrast, in frames accelerating with respect to the fixed stars, an important case being frames rotating relative to the fixed stars, the laws of motion did not hold in their simplest form, but had to be supplemented by the addition of fictitious forces, for example, the Coriolis force and the centrifugal force.

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.

The simplest logical approach to make the equation solvable is the dialetheistic approach, in which case the solution is A being both " true " and " false ".

Linear search is the simplest search algorithm ; it is a special case of brute-force search.

The simplest case of refraction occurs when there is an interface between a uniform medium with index of refraction and another medium with index of refraction.

The simplest case would be two electrons starting at A and B ending at C and D. The amplitude would be calculated as the " difference ",, where we would expect, from our everyday idea of probabilities, that it would be a sum.

States of the composite system which can be represented in this form are called separable states, or ( in the simplest case ) product states.

In the simplest case, a switch has two conductive pieces, often metal, called contacts, connected to an external circuit, that touch to complete ( make ) the circuit, and separate to open ( break ) the circuit.

The simplest possible case is an isomerism

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

In the latter case a sample of data from such a distribution can be used to construct an estimate of its variance: in the simplest cases this estimate can be the sample variance, defined below.

The simplest case to analyze is the one in which g is a principal axis ( eigenvector ) of, and the other two eigenvalues of are identical.

::# After the special case of the point-to-point link, as in note ( 1 ) above, the next simplest type of network that is based upon the physical star topology would consist of one central node – the ' hub ' – with two separate point-to-point links to two peripheral nodes – the ' spokes '.

In the simplest case these transmission eigenvalues can be taken energy independent, the Landauer formula is

In the simplest case, the network is assumed to be linear ( i. e. the complex voltage across either port is proportional to the complex current flowing into it when there are no reflections ), and the two ports are assumed to be interchangeable.

In the simplest case, an initial context must be created using the specific implementation and extra parameters required by the implementation.

In the simplest case, a single gel is inserted into the optical path to produce light of the same color.

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 ).