Computer vision is a field that includes methods for acquiring, processing, analyzing, and understanding images and, in general, high-dimensional data from the real world in order to produce numerical or symbolic information, e. g., in the forms of decisions.

These generalizations of the convolution have applications in the field of numerical analysis and numerical linear algebra, and in the design and implementation of finite impulse response filters in signal processing.

Given the difficulty of finding exact solutions, Einstein's field equations are also solved frequently by numerical integration on a computer, or by considering small perturbations of exact solutions.

In the field of numerical relativity, powerful computers are employed to simulate the geometry of spacetime and to solve Einstein's equations for interesting situations such as two colliding black holes.

Geologists use a number of field, laboratory, and numerical modeling methods to decipher Earth history and understand the processes that occur on and in the Earth.

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.

The overall goal of the field of numerical analysis is the design and analysis of techniques to give approximate but accurate solutions to hard problems, the variety of which is suggested by the following.

The field of numerical analysis predates the invention of modern computers by many centuries.

But the invention of the computer also influenced the field of numerical analysis, since now longer and more complicated calculations could be done.

Geomorphology seeks to understand landform history and dynamics, and predict future changes through a combination of field observation, physical experiment, and numerical modeling ( Geomorphometry ).

* Numerical relativity, a subfield of computational physics that aims to establish numerical solutions to Einstein's field equations in general relativity

Assuming quality ( diffraction limited ) optics, lenses with larger numerical apertures collect more light and will generally provide a brighter image, but will provide shallower depth of field.

Abercromby tried to move rapidly against the few French defenders, opting to forgo field cannon and relying instead on the numerical superiority of his 16, 000 troops.

Geomorphologists seek to understand why landscapes look the way they do, to understand landform history and dynamics, and to predict future changes through a combination of field observations, physical experiments, and numerical modeling.

Objective lenses with higher magnifications normally have a higher numerical aperture and a shorter depth of field in the resulting image.

The battle of Champaubert was one of the few times during the War of the Sixth Coalition that France was able to take to the field with a considerable numerical advantage.

In this context, a scalar field should also be independent of the coordinate system used to describe the physical system — that is, any two observers using the same units must agree on the numerical value of a scalar field at any given point of physical space.

The two stars in the black field of the mission patch indicate the flight's numerical designation in the Space Transportation System's mission sequence.

The six white stars in the upper blue field of the mission patch indicate the flight's numerical designation in the Space Transportation System's mission sequence.

The seven white stars in the black field of the mission patch, as well as the arm extending from the shuttle in the shape of a 7, indicate the flight's numerical designation in the Space Transportation System's mission sequence.

When d = 2 these predictions are backed up by arguments from quantum field theory and quantum gravitation, and include predicted numerical values for the exponents.

To lower the computational cost, force fields employ numerical approximations such as shifted cutoff radii, reaction field algorithms, particle mesh Ewald summation, or the newer Particle-Particle Particle Mesh ( P3M ).

Tone analysis will continue to be difficult and unsatisfactory until a more representative selection of systems is familar to every practicing field linguist.

Because anthropology developed from so many different enterprises ( see History of Anthropology ), including but not limited to fossil-hunting, exploring, documentary film-making, paleontology, primatology, antiquity dealings and curatorship, philology, etymology, genetics, regional analysis, ethnology, history, philosophy, and religious studies, it is difficult to characterize the entire field in a brief article, although attempts to write histories of the entire field have been made.

The field of chemistry uses analysis in at least three ways: to identify the components of a particular chemical compound ( qualitative analysis ), to identify the proportions of components in a mixture ( quantitative analysis ), and to break down chemical processes and examine chemical reactions between elements of matter.

* Aura analysis – a technique in which supporters of the method claim that the body's aura, or energy field is analyzed

In a few years, he had turned himself into a leading authority on this area of functional analysis — to the extent that Dieudonné compares his impact in this field to that of Banach.

During this period instrumental analysis becomes progressively dominant in the field.

By the time of his relatively early death at the age of 51, Erlang created the field of telephone networks analysis.

Therefore, the field of bioinformatics has evolved such that the most pressing task now involves the analysis and interpretation of various types of data.

The growing threat of biowarfare agents and bioterrorism has led to the development of specific field tools that perform on-the-spot analysis and identification of encountered suspect materials.

* Bioinformatics is an interdisciplinary field which addresses biological problems using computational techniques, and makes the rapid organization and analysis of biological data possible.

Originally a part of number theory and analysis, it is now considered a part of combinatorics or an independent field.

Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.

Both are important in the analysis of stress for a polarized dielectric solid under the action of an electric field, materials where the molecular structure is taken into consideration ( e. g. bones ), solids under the action of an external magnetic field, and the dislocation theory of metals.

It is convenient to do the analysis of deformation or motion of a continuum body in terms of the displacement field, In general, the displacement field is expressed in terms of the material coordinates as

Although control systems of various types date back to antiquity, a more formal analysis of the field began with a dynamics analysis of the centrifugal governor, conducted by the physicist James Clerk Maxwell in 1868 entitled On Governors.

With the expansion of the mass media and mass / popular culture in the 1960s and 1970s and the blending of social and cultural criticism and literary criticism, the methods of both kinds of critical theory sometimes intertwined in the analysis of phenomena of popular culture, as in the emerging field of cultural studies, in which concepts deriving from Marxian theory, post-structuralism, semiology, psychoanalysis and feminist theory would be found in the same interpretive work.

On Saturday, the orchestra was sensibly situated down on the field, the stage floor was apparently in decent condition for dancing, and the order of the program improved.

Once this condition is met, it is sufficient that local bonding at the specimen surface is capable of being overcome by the field, allowing for evaporation of an atom from the surface to which it is otherwise bonded.

The analysis of linear systems is possible because they satisfy a superposition principle: if u ( t ) and w ( t ) satisfy the differential equation for the vector field ( but not necessarily the initial condition ), then so will u ( t ) + w ( t ).

With this additional condition — the covariant divergence of the energy – momentum tensor, and hence of whatever is on the other side of the equation, is zero — the simplest set of equations are what are called Einstein's ( field ) equations:

Badoglio's successor in the field, Marshal Rodolfo Graziani, accepted the commission from Mussolini on the condition that he was allowed to crush Libyan resistance unencumbered by the restraints of either Italian or international law.

The condition governing this position is that the dynamic ram pressure from the solar wind is equal to the magnetic pressure from the Earth's magnetic field.

The surface of a polo field requires careful and constant grounds maintenance to keep the surface in good playing condition.

In the field of medicine, there is some belief that the stories relating to encounters with succubi bear similar resemblance to the contemporary phenomenon of people reporting alien abductions, which has been ascribed to the condition known as sleep paralysis.

Cobb fought a groundskeeper over the condition of the Tigers ' field in Augusta, Georgia at Spring Training in 1907.

For example, for an electromagnetic wave, if the box has ideal metal walls, the condition for nodes at the walls results because the metal walls cannot support a tangential electric field, forcing the wave to have zero amplitude at the wall.

The field of compressed sensing provides a stricter sampling condition when the underlying signal is known to be sparse.

In general, magneto-optic effects break time reversal symmetry locally ( i. e. when only the propagation of light, and not the source of the magnetic field, is considered ) as well as Lorentz reciprocity, which is a necessary condition to construct devices such as optical isolators ( through which light passes in one direction but not the other ).

Actually, the condition under which the near field speckles appear has been

The kernel of σ is an ideal of E which cannot be the whole field E, because of the condition σ ( 1 )= 1.

As Bohm and Hiley worded it, " the Schrodinger equation for the quantum field does not have sources, nor does it have any other way by which the field could be directly affected by the condition of the particles [...] the quantum theory can be understood completely in terms of the assumption that the quantum field has no sources or other forms of dependence on the particles ".

They held an estate from the king, consisting of a house, a garden, a field, stock, and a salary, on condition of personal service on the king's errand.

Amphitryon accordingly took the field against the Taphians, accompanied by Creon, who had agreed to assist him on condition that he slew the Teumessian fox which had been sent by Dionysus to ravage the country.

Thus, the emf has the same value but opposite sign as the integral of the electric field aligned with an internal path between two terminals A and B of a source of emf in open-circuit condition ( the path is taken from the negative terminal to the positive terminal to yield a positive emf, indicating work done on the electrons moving in the circuit ).

In the 12th century, the crusaders erected beyond the field, on the south side of the valley of Hinnom, a large building now in a ruined condition, measuring seventy-eight feet in length from east to west, fifty-eight feet in width and thirty in height on the north.

According to Cornelius Nepos, in his defense Epaminondas merely requested that, if he be executed, the inscription regarding the verdict read: Epaminondas was punished by the Thebans with death, because he obliged them to overthrow the Lacedaemonians at Leuctra, whom, before he was general, none of the Boeotians durst look upon in the field, and because he not only, by one battle, rescued Thebes from destruction, but also secured liberty for all Greece, and brought the power of both people to such a condition, that the Thebans attacked Sparta, and the Lacedaemonians were content if they could save their lives ; nor did he cease to prosecute the war, till, after settling Messene, he shut up Sparta with a close siege.

The solution was to incorporate an ' event handler ' for the hardware detected condition (' data exception )' that would intercept the occasional errant data field and either ' report, correct and continue ' or, more usually, abort the run with a core dump to try to determine the reason for the bad data.

Suppose that X and Y are two plane projective curves defined over a field F that do not have a common component ( this condition is true if both X and Y are defined by different irreducible polynomials, in particular, it holds for a pair of " generic " curves ).