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.

The simplest case is when y is a linear function of x, meaning that the graph of y divided by x is a straight line.

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

Regardless of whatever may have given rise to initial reports of a " missing hyphen ", the simplest and most consistent-sounding explanation that the public and Congress would accept would probably have been preferable to those who simply wanted to get on with the job of a Venus fly-by mission.

However, in all but the simplest cases, the problem of determining ahead of time when two bodies will collide ( given some initial data ) has no closed form solution — a numerical root finder is usually involved.

This dynamic vision of economic evolution is very different from the neo-classical economics tradition, which in its simplest form assumed that only a single outcome could possibly be reached, regardless of initial conditions or transitory events.

The simplest way to perform a plane change is to perform a burn around one of the two crossing points of the initial and final planes.

Unlike the simplest form of three-strand braid, in which all the hair is initially divided into three sections which are simultaneously gathered together near the scalp ( also known as an " English braid "), a French braid starts with three small sections of hair near the crown of the head ; these initial sections are braided together toward the nape of the neck, gradually adding more hair to each section as it crosses in from the side into the center of the braid structure.

The simplest possible planning problem, known as the Classical Planning Problem, is determined by a unique known initial state, durationless deterministic actions which can be taken only one at a time, and a single agent.

The initial rate experiment is the simplest to perform and analyze, being relatively free from complications such as back-reaction and enzyme degradation.

In the simplest cases, the measure of central tendency is an average of a set of measurements, the word average being variously construed as mean, median, or other measure of location, depending on the context.

At its simplest level, the experience of creativity is itself a work event, and like other events in the organizational context, it could evoke emotion.

The simplest form applied in earlier systems was based on clearing the cache contents between context switches and disabling the cache for data that were shared between two or more processors.

Global warming, which in its simplest context refers to an increase in the earth ’ s atmospheric temperature and the subsequent result of sea level rise, poses a great threat in the conservation of Manila Bay and its bordering cities.

At its simplest, situated learning is learning that takes place in the same context in which it is applied.

The simplest example is found in the context of Thermal quantum field theory ( Evans and Steer 1996 ).

The simplest case, and the context in which the idea was first noticed, is that of finite groups ( see primitive permutation group ).

The simplest explanation of its origin comes from the simple context of its use.

Even the simplest designs avoid the vicious circle of rocket launches from the surface, the difficulty that: the fuel needed to travel the last 10 % of the distance to orbit must be lifted all the way from the surface ; that requires extra fuel ; most of the extra fuel must be lifted most of the way before it is burned ; that requires more extra fuel ; and so on.

In the simplest arrangement all routers within a single AS and participating in BGP routing must be configured in a full mesh: each router must be configured as peer to every other router.

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

The simplest time control is " sudden death ", in which players must make a predetermined number of moves in a certain amount of time or forfeit immediately.

Every logical calculation, from the simplest to the most complex, must complete in one clock cycle.

The simplest is to add null bytes to the plaintext to bring its length up to a multiple of the block size, but care must be taken that the original length of the plaintext can be recovered ; this is so, for example, if the plaintext is a C style string which contains no null bytes except at the end.

First, the mode of the occurrence of W in its elementary sentence form ( i. e. the simplest sentence form in which W is capable of occurring ) must be fixed.

For a person to perform even the simplest motor task, the activity of thousands of these motor units must be coordinated.

The simplest example is where a 3-in-two crosses a 4-in-two: the 3-in-two must consist of " 1 " and " 2 " in some order ; the 4-in-two ( since " 2 " cannot be duplicated ) must consist of " 1 " and " 3 " in some order.

While recognising that each individual case of war neurosis must be treated on its merits, the Committee are of opinion that good results will be obtained in the majority by the simplest forms of psycho-therapy, i. e., explanation, persuasion and suggestion, aided by such physical methods as baths, electricity and massage.

At the simplest level, all Incident Action Plans must have four elements:

William of Ockham, who lived during the time of the novel, first put forward the principle known as " Ockham's Razor ": often summarised as the dictum that one should always accept as most likely the simplest explanation that accounts for all the facts ( a method used by William of Baskerville in the novel ), which William applies in a manner analogous to that in which Sherlock Holmes applies his familiar ( and arguably related ) dictum that when one has eliminated the impossible, whatever remains – however improbable – must be the truth.

# The Einstein tensor must match the stress-energy tensor for the scalar field, which in the simplest case, a minimally coupled massless scalar field, can be written

Utilitarian liberationists, on the other hand, do not believe that animals possess moral rights, but argue, on utilitarian grounds — utilitarianism in its simplest form advocating that we base moral decisions on the greatest happiness of the greatest number — that, because animals have the ability to suffer, their suffering must be taken into account in any moral philosophy.

This is an important question, for before any science can be truly unfolded, so as to realise its full potentialities, it must first be reduced to its fundamental concepts .” These fundamental concepts were, he thought, at their simplest, the qualities of number manifesting in time ; and the search for some way of understanding these lead to the formulation of his theory of Harmonics: this presented, to those able to appreciate it, a far more subtle and refined way of studying the complex pattern of the numerous cycles which make up the world in which we live, breaking out as it did, of the limitations of the oversimplified twelvefold systems of western astrology.