The simplest form of adaptive optics is tip-tilt correction, which corresponds to correction of the tilts of the wavefront in two dimensions ( equivalent to correction of the position offsets for the image ).

A casual reader may wish to restrict attention to the first and simplest definition, which corresponds to a single-parameter family of discrete or continuous probability distributions.

The very simplest nontrivial example corresponds to two copies of R locally acting on each other and results in a quantum group ( given here in an algebraic form ) with generators p, K, K < sup >- 1 </ sup >, say, and coproduct

The simplest example of a form which is closed but not exact is the 1-form " dθ " ( quotes because it is not the derivative of a globally defined function ), defined on the punctured plane which is locally given as the derivative of the argument-note that argument is locally but not globally defined, since a loop around the origin increases ( or decreases, depending on direction ) the argument by 2π, which corresponds to the integral:

One of the simplest non-trivial examples is a linear complex structure, which is a representation of the complex numbers C, thought of as associative algebra over the real numbers R. This algebra is realized concretely as which corresponds to.

In the simplest form, the unknown function is a real or complex valued function, but more generally, it may be vector-valued or matrix-valued: this corresponds to considering a system of ordinary differential equations for a single function.

He argues that the meaning of probable “ what happens frequently ”, corresponds to the mathematical probability people are supposed to be tested on, but the meanings of probable “ what is plausible ”, and “ whether there is evidence ” do not.

AppleTalk's DDP corresponds closely to the Network layer of the Open Systems Interconnection ( OSI ) communication model.

Others state that for those who accept that Christians can be homosexual, the sexual ethic aspired to corresponds to the model indicated in scripture and the tradition of the church for heterosexuals ; this entails commitment and fidelity expressed through monogamy and lifelong partnership or union.

However, as already mentioned in the original paper of Franz Wegner, a solid state theorist who introduced 1971 simple gauge invariant lattice models, the high-temperature behaviour of the original model, e. g. the strong decay of correlations at large distances, corresponds to the low-temperature behaviour of the ( usually ordered!

Adding the further requirement of Hausdorff ( and cofibration ) corresponds to refining to a model category.

Although X. 25 predates the OSI Reference Model ( OSIRM ), the physical Layer of the OSI model corresponds to the X. 25 physical layer, the data link layer to the X. 25 data link layer, and the network layer to the X. 25 packet layer.

The composer ’ s model for the distributive serial process corresponds to a development of the Zwölftonspiel of Josef Matthias Hauer " ( Maconie 2005, 56 ), and Goeyvaerts, in such a work as Nummer 4, provides a classic illustration of the distributive function of seriality: 4 times an equal number of elements of equal duration within an equal global time is distributed in the most equable way, unequally with regard to one another, over the temporal space: from the greatest possible coïncidence to the greatest possible dispersion.

In TCP / IP reference model, it corresponds to, or is part of the link layer.

In such a model, each possible macroscopically-defined classical black hole corresponds to an infinite density of microstates, each of which can be chosen as similar as desired to any of the others ( hence the loss of information ).

which corresponds to the scale of an estimated Poincaré recurrence time for the quantum state of a hypothetical box containing a black hole with the estimated mass of the entire universe, observable or not, assuming a certain inflationary model with an inflaton whose mass is 10 < sup >− 6 </ sup > Planck masses.

An example of such a model is logistic regression, which corresponds to the maximum entropy classifier for independent observations.

However S < sup > 2 </ sup > × R cannot be, Euclidean space corresponds to two different Bianchi groups, and there are an uncountable number of solvable non-unimodular Bianchi groups, most of which give model geometries with no compact representatives.

The model for benzene consists of two resonance forms, which corresponds to the double and single bonds superimposing to give rise to six one-and-a-half bonds.

A slightly broader model of efficiency that nevertheless remains consistent with the " percentage " definition in many cases is to say that efficiency corresponds to the ratio r = P / C of the amount P of some valuable resource produced, per amount C of valuable resources consumed.

A model of this “ theory ” closely corresponds to a database, which can be seen at any instant of time as a mathematical object.

) This is one of the limitations of the Debye model, and corresponds to incorrectness of the results at intermediate temperatures, whereas both at low temperatures and also at high temperatures they are exact.

The essential reason for the exactness at low and high energies, respectively, is that the Debye model gives ( i ) the exact dispersion relation at low frequencies, and ( ii ) corresponds to the exact density of states concerning the number of vibrations per frequency interval.

The so-called Standard Theory corresponds to the original model of generative grammar laid out in Chomsky ( 1965 ).

Their colors, material, and size suggest an enclosed mobile device that corresponds to no color or shape found in nature, although some authorities suggest that, at some early time in the development, the egg may have been the model.

Formally a mixture model corresponds to the mixture distribution that represents the probability distribution of observations in the overall population.

This table represents a week with all the 24 hours marked and labeled by the " planet ", actually a celestial light in direct translation, which corresponds to them according to the ancient geocentric model of " planet " order.

Mental models are iconic, i. e., each part of a model corresponds to each part of what it represents ( Johnson-Laird, 2006 ).

In Caldirola's model, one chronon corresponds to about 6. 97 × 10 seconds for an electron.

Such programs might create a ' logical mesh ' in computer memory where each item corresponds to an area in space and contains information about that space relevant to the model.

Each numerical Bösendorfer model directly corresponds to its length in centimeters.

By default, the system state will be in either of the minima states, because that corresponds to the state of lowest energy.

This corresponds to the two possible orientations of the coordinate system.

The determinant provides important information when the matrix is that of the coefficients of a system of linear equations, or when it corresponds to a linear transformation of a vector space: in the first case the system has a unique solution if and only if the determinant is nonzero, while in the second case that same condition means that the transformation has an inverse operation.

Yet, since a system can be coherent while also being wrong, coherentists face the difficulty of ensuring that the whole system corresponds to reality.

In a typeface each character typically corresponds to a single glyph, but there are exceptions, such as a font used for a language with a large alphabet or complex writing system, where one character may correspond to several glyphs, or several characters to one glyph.

The labelling of the drawbar is derived from the stop system in pipe organs where the physical length of the pipe corresponds to the pitch produced.

* The earliest date for summer solstice in Julian calendar system, which corresponds to June 23:

As an observable, H corresponds to the total energy of the system.

The later part of this period corresponds with an increasing movement away from the previous tribal system towards the establishment of kingdoms, called mahajanapadas.

The non-abelian character of the SU ( 3 ) corresponds thereby to the non-trivial " chemical links “, which glue different loop segments together, and " asymptotic freedom " means in the polymer analogy simply the fact that in the short-wave limit, i. e. for ( where R < sub > c </ sub > is a characteristic correlation-length for the glued loops, corresponding to the above-mentioned " bag radius ", while λ < sub > w </ sub > is the wavelength of an excitation ) any non-trivial correlation vanishes totally, as if the system had crystallized.

Western observers have raised questions as to how much of Russia's political system corresponds to Western liberal democratic ideals.

This interpretation serves to discard the idea that a single physical system in quantum mechanics has a mathematical description that corresponds to it in any way.

It corresponds to the widespread system of family name plus given name ( s ) used to name people in many cultures.

# In a facsimile system using frequency modulation, recording in which the lowest received frequency corresponds to the maximum density of the record medium.

# In an amplitude-modulated facsimile system, transmission in which the maximum transmitted power corresponds to the minimum density, i. e., the white area, of the object.

# In a frequency-modulated facsimile system, transmission in which the lowest transmitted frequency corresponds to the minimum density i. e., the white area, of the object.

In general, a lower utilization corresponds to less queueing for customers but means that the system is more idle, which may be considered inefficient.

Nevertheless, the entire system of measurement corresponds almost exactly with the Babylonian system, and in all probability the Israelite measurement system was derived from the Babylonian, with some lesser level of influence from the Egyptian system.

This category corresponds roughly to the Heldenbariton in the German fach system except that some Verdi baritone roles are not included.

A K ' in is a part of the ancient Maya Long Count Calendar system which corresponds to one day.