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 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.

In the simplest mechanical extensions, there are no mechanical aids attached to the fingerboard extension except a locking nut for the " E " note.

In its simplest form, there is a tray above a reservoir of nutrient solution.

According to the first postulate of special relativity, all physical laws take their simplest form in an inertial frame, and there exist multiple inertial frames interrelated by uniform translation:

Thus there is no way of discerning which, if any, ethical properties exist ; by Occam's Razor, the simplest assumption is that none do.

Although for the simplest reflexes there are short neural paths from sensory neuron to motor neuron, there are also other nearby neurons that participate in the circuit and modulate the response.

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.

Since there is not much bandwidth in this band of the radio spectrum, only the very simplest signals are used, such as for radio navigation.

The simplest examples of quantification are existential and universal statements, which are marked in English by phrases like there is or words like all.

This triple repetition code is actually the simplest Hamming code with, since there are 2 parity bits, and data bit.

This obviously includes operations that would be deemed contrary to all but the simplest security policies, such as divulging an email or password that should be kept secret ; however, barring special provisions in the architecture of the system, there is no denying that the computer could be programmed to perform these undesirable tasks.

By 1848, Edward Hay Drummond Hay, the President of the British Virgin Islands, reported that: " there are now no properties in the Virgin Islands whose holders are not embarrassed for want of capital or credit sufficient to enable them to carry on the simplest method of cultivation effectively.

The simplest encaustic mixture can be made from adding pigments to beeswax, but there are several other recipes that can be used — some containing other types of waxes, damar resin, linseed oil, or other ingredients.

They wrote, " What makes The Wind such an eloquent coda to its dying medium is Seastrom's and Gish's distillation of their art forms to the simplest, most elemental form: there are no frills.

First, there are perhaps several dozen cases where the NKS book introduces the simplest known system in some class that has a particular characteristic.

This means that, for a given function, there is no " simplest antiderivative ".

For every book there is some humanly accessible bit of Nature such that that book, and no other, makes possible the comprehension, prediction and influencing of what is going on … Leibniz said that God chose a world which maximized the variety of phenomena while choosing the simplest laws.

Choosing the smallest or simplest possible base cases is more elegant and usually leads to simpler programs, because there are fewer cases to consider and they are easier to solve.

In this simplest of the projective planes, there are also seven lines ; each point is on three lines, and each line contains three points.

The simplest example is the case that the family of vector spaces is constant, i. e., there is a fixed vector space V such that V ( x ) = V for all x in X: in this case there is a copy of V for each x in X and these copies fit together to form the vector bundle X × V over X.

If there are alternatives that are equally effective, then the simplest or lowest cost approach is preferred.