** Normal dynamics, is a stochastic motion having a Gaussian probability density function in position with variance MSD that follows, MSD ~ t, where MSD is the mean squared displacement of the process, and t is the time the process is seen ( normal dynamics and Brownian dynamics are very similar ; the term used depends on the field )

* Gaussian process regression

will give the probability that a single sample taken from a random process with zero-mean and unit-variance Gaussian probability density function will be greater or equal to.

The theorem establishes Shannon's channel capacity for such a communication link, a bound on the maximum amount of error-free digital data ( that is, information ) that can be transmitted with a specified bandwidth in the presence of the noise interference, assuming that the signal power is bounded, and that the Gaussian noise process is characterized by a known power or power spectral density.

The central limit theorem holds that, if there is sufficiently much scatter, the channel impulse response will be well-modelled as a Gaussian process irrespective of the distribution of the individual components.

* Gaussian process regression ( kriging )

In applied mathematics, the Wiener process is used to represent the integral of a Gaussian white noise process, and so is useful as a model of noise in electronics engineering, instrument errors in filtering theory and unknown forces in control theory.

* Gaussian process, a stochastic process that is associated with the Gaussian probability distribution

These decompositions summarize the process of Gaussian elimination in matrix form.

Matrix P represents any row interchanges carried out in the process of Gaussian elimination.

In probability theory and statistics, a Gaussian process is a stochastic process whose realizations consist of random values associated with every point in a range of times ( or of space ) such that each such random variable has a normal distribution.

For example, if a random process is modelled as a Gaussian process, the distributions of various derived quantities can be obtained explicitly.

A Gaussian process is a stochastic process X < sub > t </ sub >, t ∈ T, for which any finite linear combination of samples has a joint Gaussian distribution.

When the input vector t is two-or multi-dimensional a Gaussian process might be also be known as a Gaussian random field.

Our suspicions eventually centered, by the process of elimination, on a grocer's boy, a thoroughly bad hat, who delivered cartons to the people overhead.

A process of elimination which leaves the artist with nothing but the play of his materials themselves cannot sustain interest in either artist or public for very long.

This process is often associated with an elimination, so that after the reaction the carbonyl group is present again.

In the recovery process, remains of the five hijackers were identified through process of elimination, since their DNA did not match any from the victims, and put into the custody of the FBI.

Some scholars report that, of the colleagues that Paul mentions in his epistles, the process of elimination leaves Luke as the only person who fits everything known about the author of Luke / Acts.

This process gained momentum with South Africa's elimination of apartheid, which culminated in the establishment of full diplomatic relations in October 1993.

In the recovery process at the Pentagon, remains of all five Flight 77 hijackers were identified through a process of elimination, as not matching any DNA samples for the victims, and put into custody of the FBI.

In the recovery process at the Pentagon, remains of all five Flight 77 hijackers were identified through a process of elimination, as not matching any DNA samples for the victims, and put into custody of the FBI.

In the recovery process at the Pentagon, remains of all five Flight 77 hijackers were identified through a process of elimination, as not matching any DNA samples for the victims, and put into custody of the FBI.

The judging process is documented in the competition guidelines and consists of elimination rounds.

The remains of the hijackers, identified by the process of elimination, were turned over to the Federal Bureau of Investigation ( FBI ) as evidence.

As a first step, the prisoner reasons that a scenario in which the hanging occurs on Tuesday is impossible because it leads to a contradiction: on the one hand, by S3, the prisoner would not be able to predict the Tuesday hanging on Monday evening ; but on the other hand, by S1 and process of elimination, the prisoner would be able to predict the Tuesday hanging on Monday evening.

Tail recursive algorithms can be converted to iteration, which does not have call overhead and uses a constant amount of stack space, through a process called tail recursion elimination or tail call optimization.

In 2008, the elimination process was changed from killing the hedgehogs to trapping them and releasing on the mainland.

Gem identification is basically a process of elimination.

The desired answer is determined by a combination of logic — since the third letter can be only E or W, and the second letter can be only N or S — and a process of elimination using checks.

Stability of certain drugs can be improved, and the elimination of a wetting and drying process can be beneficial when formulating drugs that are thermolabile or moisture sensitive.

Religious scholar Saul M. Olyan ( author of Asherah and the Cult of Yahweh in Israel ), calls the representation on the Qudshu-Astarte-Anat plaque " a triple-fusion hypostasis ", and considers Qudshu to be an epithet of Athirat by a process of elimination, for Astarte and Anat appear after Qudshu in the inscription.

During the firing process, atomic diffusion drives powder surface elimination in different stages, starting from the formation of necks between powders to final elimination of small pores at the end of the process.

An approach that has appealed to some choreographers is reminiscent of Charles Olson's statement of the process of projective verse: `` one perception must immediately and directly lead to a further perception ''.

The process stipulates that the choreographer sense the quality of the initial movement he has discovered and that he feel the rightness of the quality that is to follow it.

When disruptive change has penetrated to the third level of social order, the process of disruption rapidly reaches a point of no return.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

recommend to the Congress from time to time authorization for construction and operation, or for participation in the construction and operation, of a demonstration plant for any process which he determines, on the basis of subsections ( A ) and ( B ) above, has great promise of accomplishing the purposes of this Act, such recommendation to be accompanied by a report on the size, location, and cost of the proposed plant and the engineering and economic details with respect thereto ; ;

Although the matter has not been unequivocally demonstrated, the available data show that micelles in themselves do not contribute significantly to the detergency process.

Upon consideration of the variety of soils and fabrics normally encountered in the washing process, it is little wonder that the use of a number of detergent constituents having `` synergistic '' properties has gained widespread acceptance.

Although the pause in the advance of general business activity this year has thus far been quite modest, it is hard to escape the conclusion that the softening process will continue into the first quarter of 1961 and possibly somewhat longer.

A simple process for the preparation of nearly monodisperse polystyrene of predictable molecular weight has been developed.

The cutting ( or shearing ) removal process has been previously described.

The effect is that the platform returns from an off-level position at a rapid rate until it is nearly level, at which point the platform is controlled by a proportional servo with low enough frequency response so that the noise has little effect on the leveling process.

If the church has followed the plan of cultivation of prospects and carried through a program of membership preparation as outlined earlier in this book, the process of assimilation and growth will be well under way.

Use of Video Arraignment system allows the courts to conduct the requisite arraignment process without the need to transport the person who has been formally accused ( offender ) to the courtroom by using an audio-visual link between the location where the offender is being held and the courtroom.

Each church has its own doctrine and liturgy, based in most cases on that of the Church of England ; and each church has its own legislative process and overall episcopal polity, under the leadership of a local primate.

The most notable example has been the objection of many provinces of the Communion ( particularly in Africa and Asia ) to the changing role of homosexuals in the North American churches ( e. g., by blessing same-sex unions and ordaining and consecrating gays and lesbians in same-sex relationships ), and to the process by which changes were undertaken.

An abscess () is a collection of pus ( dead neutrophils ) that has accumulated in a cavity formed by the tissue in which the pus resides due to an infectious process ( usually caused by bacteria or parasites ) or other foreign materials ( e. g., splinters, bullet wounds, or injecting needles ).

:" for a bad custom has prevailed amongst the clergy, of appointing the most powerful people of a parish stewards, or, rather, patrons, of their churches ; who, in process of time, from a desire of gain, have usurped the whole right, appropriating to their own use the possession of all the lands, leaving only to the clergy the altars, with their tenths and oblations, and assigning even these to their sons and relations in the church.

Adiabatic processes can occur if the container of the system has thermally-insulated walls or the process happens in an extremely short time, so that there is no opportunity for significant heat exchange.

Development in Canberra has been closely regulated by government, both through the town planning process, but also through the use of crown lease terms that have tightly limited the use of parcels of land.

By a process known as self-attribution, it has been shown in numerous studies that individuals with knowledge of astrology tend to describe their personality in terms of traits compatible with their star sign.

Wisps of smoke start billowing out of the ground when the cooking process has come to an end.

Reuptake is the process by which a terminal button retrieves the molecules of transmitter substance it has just released, which terminates the effect of the transmitter substance on the receptors of the postsynaptic neuron.

The ANC has also gained members through the controversial floor crossing process.

Celsius conducted many geographical measurements for the Swedish General map, and was one of earliest to note that much of Scandinavia is slowly rising above sea level, a continuous process which has been occurring since the melting of the ice from the latest ice age.