In the past, when a local government built all the streets in a given location, the town could expand without interruption and with a coherent circulation system, because it had condemnation power.

If so, the optimal detector performs phase coherent summation of received signals which can result in very high target location accuracy.

Industrial districts in Northern Italy have a coherent location and a narrow specialisation profile, e. g. Prato in woolen fabric, Sassuolo in ceramic tiles or Brenta in ladies ' footwear.

There is a coherent simultaneous relationship between the longitudinal position of maximum MJO-related rainfall and the location of extreme west coast precipitation events.

Passive radar systems ( also referred to as passive coherent location and passive covert radar ) encompass a class of radar systems that detect and track objects by processing reflections from non-cooperative sources of illumination in the environment, such as commercial broadcast and communications signals.

All languages have resources for construing experience ( the ideational component ), resources for enacting humans ' diverse and complex social relations ( the interpersonal component ), and resources for enabling these two kinds of meanings to come together in coherent text ( the textual function ).

As in the case of myth, these narratives are believed because they construct and reinforce the worldview of the group within which they are told, or “ because they provide us with coherent and convincing explanations of complex events ”.

Goldstein initially defined emergence as: " the arising of novel and coherent structures, patterns and properties during the process of self-organization in complex systems ".

Possibly due to developmental changes and a more coherent sense of self past the age of six, the experience of extreme trauma may result in different, though also complex dissociative symptoms and identity disturbances.

Le Nôtre's garden was the dominant structure of the great complex, stretching nearly a mile and a half ( 3 km ), with a balanced composition of water basins and canals contained in stone curbs, fountains, gravel walks, and patterned parterres that remains more coherent than the vast display Le Nôtre was to create at Versailles.

As Singapore progressed, the demands of an increasingly complex banking and monetary environment necessitated streamlining the functions to facilitate the development of a more dynamic and coherent policy on monetary matters.

: Let X be a projective scheme over C. Then the functor associating the coherent sheaves on X to the coherent sheaves on the corresponding complex analytic space X < sup > an </ sup > is an equivalence of categories.

Then the ith cohomology group is just the coherent cohomology group H < sup > i </ sup >( X, V ), so the analytical index of this complex is the holomorphic Euler characteristic Σ (− 1 )< sup > i </ sup > dim ( H < sup > i </ sup >( X, V )).

) In the case of cohomology of coherent sheaves, Serre showed that one could get a satisfactory theory just by using the Zariski topology of the algebraic variety, and in the case of complex varieties this gives the same cohomology groups ( for coherent sheaves ) as the much finer complex topology.

* If F is a coherent sheaf ( or G < sub > m </ sub >) then the étale cohomology of F is the same as Serre's coherent sheaf cohomology calculated with the Zariski topology ( and if X is a complex variety this is the same as the sheaf cohomology calculated with the usual complex topology ).

As Singapore progressed, the demands of an increasingly complex banking and monetary environment necessitated streamlining the functions to facilitate the development of a more dynamic and coherent policy on monetary matters.

In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space.

Many results and properties in algebraic geometry and complex analytic geometry are formulated in terms of coherent sheaves and their cohomology.

Important examples of coherent sheaves of rings include the sheaf of germs of holomorphic functions on a complex manifold and the structure sheaf of a Noetherian scheme from algebraic geometry.

The role played by coherent sheaves is as a class of sheaves, say on an algebraic variety or complex manifold, that is more general than the locally free sheaf — such as invertible sheaf, or sheaf of sections of a ( holomorphic ) vector bundle — but still with manageable properties.

* The Oka coherence theorem shows that the sheaf of holomorphic functions on a complex manifold is coherent.

When an image is formed of a rough surface which is illuminated by a coherent light ( e. g. a laser beam ), a speckle pattern is observed in the image plane ; this is called a “ subjective speckle pattern ” – see image above.

Holographic PIV ( HPIV ) encompasses a variety of experimental techniques which use the interference of coherent light scattered by a particle and a reference beam to encode information of the amplitude and phase of the scattered light incident on a sensor plane.

If the transmitter's output is coherent ( phase synchronized ), there is another effect that can be used to make almost instant speed measurements ( no memory is required ), known as the Doppler effect.

This requires the use of medium pulse-repetition frequency with phase coherent hardware that has a large dynamic range.

Optical path difference is the phase shift which happens between two previously coherent sources when passed through different mediums.

This requires the receiver to be able to compare the phase of the received signal to a reference signal — such a system is termed coherent ( and referred to as CPSK ).

This makes it a suitable candidate for optical communications systems, where coherent phase modulation and detection are difficult and extremely expensive.

Two waves are said to be coherent if they have a constant relative phase.

The second building phase was dominated by a highly coherent group of pottery within the regional Chalcolithic styles, representing Maritime Bell Beakers of the local ( northern Portuguese ), penteada decoration style in various patterns, using lines of points, incision or impression.

Figure 1: The electric field, measured by optical homodyne detection, as a function of phase for three coherent states emitted by a Nd: YAG laser.

Often, coherent laser light is thought of as light that is emitted by many such sources that are in phase.

A coherent state distributes its quantum-mechanical uncertainty equally between the canonically conjugate coordinates, position and momentum, and the relative uncertainty in phase heuristically and amplitude are roughly equal — and small at high amplitude.

As the phase increases the coherent state circles the origin and the disk neither distorts nor spreads.

Most of the special superfluid properties follow directly from the use of a coherent state to represent the superfluid component — that acts as a macroscopically occupied single-body state with well-defined amplitude and phase over the entire volume.

So the Fourier Transform can be seen as a sort of phase coherent sum of all of the STFTs of x ( t ).

As the electrons are undergoing acceleration they radiate electromagnetic energy in their flight direction, and as they interact with the light already emitted, photons along its line are emitted in phase, resulting in a " laser-like " monochromatic and coherent beam.

The Mach – Zehnder interferometer is a device used to determine the relative phase shift between two collimated beams from a coherent light source.

In quantum field theory, the particle number operator ( see Fock state ) is conjugate to the phase of the classical wave ( see coherent state ).

In contrast to other coherent digital phase modulation techniques where the carrier phase

Through this interaction, all electrons begin emitting coherent radiation in phase.

In quantum optics, a cat state is defined as the coherent superposition of two coherent states with opposite phase: