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complex and replaced
In a complex inner product space, the expression for the cosine above may give non-real values, so it is replaced with
As of 2011, the BIOS is being replaced by the more complex Extensible Firmware Interface ( EFI ) in many new machines, but BIOS remains in widespread use.
Complex-crater morphology on rocky planets appears to follow a regular sequence with increasing size: small complex craters with a central topographic peak are called central peak craters, for example Tycho ; intermediate-sized craters, in which the central peak is replaced by a ring of peaks, are called peak-ring craters, for example Schrödinger ; and the largest craters contain multiple concentric topographic rings, and are called multi-ringed basins, for example Orientale.
Even now, advanced radiosity calculations may be reserved for calculating the ambiance of the room, from the light reflecting off walls, floor and ceiling, without examining the contribution that complex objects make to the radiosity — or complex objects may be replaced in the radiosity calculation with simpler objects of similar size and texture.
Thus the Sidewinder team replaced a potentially complex control system with a simple mechanical solution.
Although the worship of images would eventually fall out of favour ( and be replaced by the iconoclastic fire temples ), the lasting legacy of the Achaemenids was a vast, complex hierarchy of Yazatas ( modern Zoroastrianism's Angels ) that were now not just evident in the religion, but firmly established, not least because the divinities received dedications in the Zoroastrian calendar, thus ensuring that they were frequently invoked.
Only in dimension d = 2 can one construct entities where is replaced by an arbitrary complex number with magnitude 1 ( -> anyons ).
Kuhn vehemently denies this interpretation and states that when a scientific paradigm is replaced by a new one, albeit through a complex social process, the new one is always better, not just different.
Electromechanical teleprinters were heavy, complex and noisy, and have been replaced with electronic units.
The IF filter originally involved a complex collection of tuneable inductors that needed careful adjustment to reconstruct the rest of the vestigial sideband, but since the 1970s or early 1980s these have been replaced with precision electromechanical surface acoustic wave ( SAW ) filters.
Another example is occupiers ' liability, which was seen as overly complex and illogical, so many jurisdictions replaced the common law rules for occupiers ' liability with statutory torts.
The yen replaced Tokugawa coinage, a complex monetary system of the Edo period based on the mon.
He replaced the original elliptical shells with a design based on complex sections of a sphere.
A new World Trade Center complex, centered on Daniel Liebeskind's Memory Foundations plan, is in the early stages of development and one building has already been replaced.
Other forms of vitamin B < sub > 3 </ sub > include the corresponding amide, nicotinamide (" niacinamide "), where the carboxyl group has been replaced by a carboxamide group (), as well as more complex amides and a variety of esters.
In other words, for ATM ( and eventually other protocols such as Ethernet ), the internal complex structure previously used to transport circuit-oriented connections was removed and replaced with a large and concatenated frame ( such as STS-3c ) into which ATM cells, IP packets, or Ethernet frames are placed.
In an equivalent baseband model of a communication system, the modulated signal is replaced by a complex valued equivalent baseband signal with carrier frequency of 0 hertz, and the RF channel is replaced by an equivalent baseband channel model where the frequency response is transferred to baseband frequencies.
The final implementation replaced the integrator with a Predictor implemented with a two pole complex pair low pass filter designed to approximate the long term average speech spectrum.
However, they can also be thought of as unstable particles, with the formula above valid if the is the decay rate and replaced by the particle's mass M. In that case, the formula comes from the particle's propagator, with its mass replaced by the complex number.
These ideas were replaced by more complex " maps " of affinities in works by Hugh Edwin Strickland and Alfred Russell Wallace.
While X. 25 has been, to a large extent, replaced by less complex protocols, especially the Internet protocol ( IP ), the service is still used and available in niche and legacy applications.
This caused a complex set of legal wranglings that were not finalised when the Union was replaced with the Republic of South Africa.

complex and old
This version of rasterization has overtaken the old method as it allows the graphics to flow without complicated textures ( a rasterized image when used face by face tends to have a very block-like effect if not covered in complex textures ; the faces are not smooth because there is no gradual color change from one primitive to the next ).
A more complex interpretation looks to an old practice of coinage.
Construction of a new Terminal 2 complex to replace the old terminal building and adjacent Queen's Building began in 2009 with the first phase expected to open in 2014.
However while some animals may acquire large numbers of words and symbols, none have been able to learn as many different signs as is generally known by an average 4 year old human, nor have any acquired anything resembling the complex grammar of human language.
* Myšia Hôrka ( near Spišský Štvrtok ), Slovakia-3500 years old town ( rediscovered in the 20th century ) and archaeological site, complex is called also Slovak Mycenae.
As an old religion, Hinduism inherits religious concepts spanning monotheism, polytheism, panentheism, pantheism, monism, and atheism among others ; and its concept of God is complex and depends upon each individual and the tradition and philosophy followed.
These oppositions are inherent to modernism: it is in its broadest cultural sense the assessment of the past as different to the modern age, the recognition that the world was becoming more complex, and that the old " final authorities " ( God, government, science, and reason ) were subject to intense critical scrutiny.
As their albums became progressively more adventurous, The Graduate soundtrack album was immediately followed in March 1968 at the top of the charts by Bookends, which dealt with increasingly complex themes of old age and loss.
A park complex called Heritage Field was constructed on the old stadium site, accounting for 40 percent of the original parkland that is now occupied by the new Stadium.
The internals for the police station were filmed in the old Daily Mirror offices in central Manchester, now The Printworks retail complex.
The old court buildings, replaced in 2009 by a new complex designed by HOK on the former Segontium School site in Llanberis Road, are situated inside the castle walls, next door to the Anglesey Arms Hotel and to the Gwynedd County Council Buildings in Pendeitch.
The new English language did not sound the same as the old ; for, as well as undergoing changes in vocabulary, the complex system of inflected endings which Old English had, was gradually lost or simplified in the dialects of spoken Middle English.
In the Song period, the odometer vehicle was also combined with another old complex mechanical device known as the South Pointing Chariot.
The only structures used in the movie that still remain are the complex of old native stone boathouses with their wrought iron gates.
In 1836, the old lead-covered roof, with its complex structure of timber supports ( known as ' the forest ') was destroyed by fire.
Brenton paints the portrait of a brilliant, witty but complex man, tragically out of kilter with his times, an old Etonian who eventually loses his way in a world of shifting values.
It is represented by the great complex of ruin mounds known to the Arabs as Nuffar, written by the earlier explorers Niffer, divided into two main parts by the dry bed of the old Shatt-en-Nil ( Arakhat ).
The old stadium was converted into a luxury housing complex known as Highbury Square, with the two listed main stands being converted into apartments, ensuring their original exteriors remained almost entirely preserved.
In addition to the previously available vertex and pixel shader stages, the API includes a geometry shader stage that breaks the old model of one vertex in / one vertex out, to allow geometry to actually be generated from within a shader, allowing for complex geometry to be generated entirely on the graphics hardware.
During that period Nîmes was jointly administered by a lay power resident in the old amphitheatre, where lived the Viguier and the Knights of the Arena, and the religious power based in the Bishop's palace complex, around the cathedral, its chapter and the Bishop's house ; meanwhile the city was represented by four Consuls, who sat in the Maison Carrée.
The complex, which is maintained by the Village of Bethalto, replaced the old baseball and soccer fields located at Civic Memorial High School for varsity and junior varsity baseball, softball and soccer teams.
Despite concerns of " The Cannon " being retired along with the old field, it has been taken out to the new complex and can still be heard following every Lions ' score.
Previously, it occupied the old town government complex further east on Chili Avenue.
This is the site of the prehistoric Marietta Earthworks, a Hopewell complex more than 1500 years old, whose Great Mound and other major monuments were preserved by the earliest United States settlers in parks such as the Mound Cemetery.
Weyerhaeuser opened its Springfield complex in 1949, and after years of aggressive logging was forced to downsize as old growth lumber became less available.

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