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Like the " dimension of image " characterization this can be generalized to a definition of the rank of a linear map: the rank of a linear map f from V → W is the minimal dimension k of an intermediate space X such that f can be written as the composition of a map V → X and a map X → W. While this definition does not suggest an efficient manner to compute the rank ( for which it is better to use one of the alternative definitions ), it does allow to easily understand many of the properties of the rank, for instance that the rank of the transpose of A is the same as that of A.
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Like and dimension
Like the tenth spatial dimension, the approximate equations in the original five superstring models proved too weak to reveal membranes.
Wells also used the concept of parallel universes as a consequence of time as the fourth dimension in stories like The Wonderful Visit and Men Like Gods, an idea proposed by the astronomer Simon Newcomb, who talked about both time and parallel universes ; " Add a fourth dimension to space, and there is room for an indefinite number of universes, all alongside of each other, as there is for an indefinite number of sheets of paper when we pile them upon each other ".
Like the fourth dimension of H. G. Wells ’ " Time Traveller ", these extra dimensions can be traveled by persons using the right equipment.
Like the quaternions, it has dimension 4 over R, but unlike the quaternions, it has zero divisors, as can be seen from the following product of the matrix units: E < sub > 11 </ sub > E < sub > 21 </ sub > = 0, hence it is not a division ring.
Like and image
Like most other types of subpixel rendering, ClearType actually involves a compromise, sacrificing one aspect of image quality ( color or chrominance detail ) for another ( light and dark or luminance detail ).
Most notably, Swanwick added a lawnmower to the image in order to tie the painting to the lyrics of " I Know What I Like ( In Your Wardrobe )".
Like the label 4AD Records, Factory Records used a creative team ( most notably record producer Martin Hannett and graphic designer Peter Saville ) which gave the label, and the artists recording for it, a particular sound and image.
Like the statue of Ramiro at the Royal Palace in Madrid, Manuel Rodriguez's 18th-century depiction of Ramiro has no basis in any contemporary image.
Like CT, MRI traditionally creates a two dimensional image of a thin " slice " of the body and is therefore considered a tomographic imaging technique.
Like a sensitized Daguerreotype plate, but unlike Talbot's earlier " sensitive paper ", better known as " salted paper ", the calotype paper had to be exposed in the camera only long enough to produce a very faint or completely invisible image which was then chemically developed to full visibility.
Like many major proponents of the Cultural Revolution, Lin's image was manipulated after Mao's death in 1976, and many negative aspects of the Cultural Revolution were blamed on Lin.
Like other test cards, it was usually shown while no programmes were being broadcast, but was the first to be transmitted in colour in the UK and the first to feature a person, and has become an iconic British image regularly subject to parody.
* The celebrity quiz show " It's Only TV, But I Like It " used a version of the test card replacing the scene with the host Jonathon Ross and regular team captains Julian Clary and Phill Jupitus surrounding the chalkboard as a promotional image.
Like Warhol, Solanas is obsessed with an image of autonomy, except that ... she has played the obsession desperately, rather than with Warhol's famous cool.
Like a visible-light camera it takes pictures of astronomical objects, but the image shows what the object looks like in infrared light.
Like man, who has been created totally in God's image, God consists of three different persons-body, soul and spirit-each with his own individual activity, but nevertheless man is only one human being.
Like the Green Hornet, the Blue Beetle would use his signature scarab symbol to bedevil criminals, leaving it to be easily found, hanging it down into a room on a string and even projecting its enlarged image onto a wall with a flashlight.
Like neighboring Waseda, the area is synonymous with students ( albeit with a somewhat less salubrious image ).
Like Jimbo has to spiders, Rose has a deep fear of dust mites, derived from when she once saw a magnified image of one, and in her vivid imagination they tend to take on rather exaggerated proportions.
Like the Genoa image, it is painted on board and therefore is likely to be a copy.
He satirized his gangster image with a well-received supporting performance in Some Like it Hot ( 1959 ), but this did not lead to a comeback, and he spent the remainder of the decade making films in Europe.
Like the sun through a magnifying glass, she burns an image on the screen.
Like Junimea, he was amused by the cultural legacy of 1848 Wallachian revolutionaries, and by its image in National Liberal discourse.
Like Photoshop, Core Image can apply multiple filters to the same image source.
Like Metamorphosis I, the concept of this piece is to morph one image into a tessellated pattern and then slowly alter that pattern eventually to become a new image.
Like many of Escher's works, this image was intended to depict a paradoxical and slightly humorous concept with no real philosophical meaning.
Like that of the ambrotype, the tintype's image can be thought of as a negative ; but, because of the black background, it appears as a positive.
Like and characterization
Like the decomposition rank characterization, this does not give an efficient way of computing the rank, but it is useful theoretically: a single non-zero minor witnesses a lower bound ( namely its order ) for the rank of the matrix, which can be useful to prove that certain operations do not lower the rank of a matrix.
Like most comedies of the time, it incorporates many elements of plot and characterization established by the popular Commedia dell ' arte.
Performance characterization, and figures of merit Like most arenas in the physical sciences, chemometrics is quantitatively oriented, so considerable emphasis is placed on performance characterization, model selection, verification & validation, and figures of merit.
Like its predecessor, the game was praised by critics for its characterization and comical style, as well as its use of the DS's dual screen.
Like and can
Like Lincoln, he can distinguish his relation to God from the constitutional responsibilities a questionable decision exacts of him.
Like Roosevelt, he can distinguish an attitude toward a Russian leader he may share with a host of Americans from the responsibilities diplomatic convention may impose upon him.
Like its long-lived cousin, the refrigerator, a conditioner can be expected to last 20 to 25 years or more.
Like ethanol, they can be produced by fermentation processes.
Like the other groups, examples of their music can be found on YouTube.
Like single covalent bonds, double bonds can be described in terms of overlapping atomic orbitals, except that, unlike a single bond ( which consists of a single sigma bond ), a carbon-carbon double bond consists of one sigma bond and one pi bond.
* Related-key attack: Like a chosen-plaintext attack, except the attacker can obtain ciphertexts encrypted under two different keys.
Like many other chorded keyboards, this keyboard can be used with one hand.
Like the 1571, it can read various other disk formats using special software.
Like knitting, crochet can be worked either flat or in the round.
Like other consonants, clicks can be described using four parameters: place of articulation, manner of articulation, phonation ( including glottalization ), and airstream mechanism.
Like resources, commodities are associated with a type of terrain, can be stolen by the robber ( with Seafarers, also the pirate ), count against the resource hand limit, and may not be collected if the robber is on the terrain.
Like other nitrogen-fixing bacteria, they can either be free-living or have symbiotic relationships with plants.
Also, Macdonald Carey's legendary line " Like sands through the hourglass, so are the days of our lives " can be considered an epigram, as the meaning of life is concisely explained in a simile.
Like Finnish and Hungarian, Estonian is a somewhat agglutinative language, but unlike them, it has lost the vowel harmony of the hypothetical Proto-Uralic language, although in older texts the vowel harmony can still be recognized.
Like Brooke, he is uncritical of the show's journalistic tactics ( although in the episode Judge and Jury, he has reservations about their persecution of a priest accused of rape, mainly because he is a lapsed Catholic ); in fact he is usually the confidante of the executive producers, and the one they can trust to do what is needed to get a good story, or to persuade Mike to present a story.
Like human beings, the jinn can also be good, evil, or neutrally benevolent.
Like grindcore, metalcore can feature breakdowns as well as intense passages conducive to moshing.
* Like the quasi-arithmetic means, the computation of the mean can be split into computations of equal sized sub-blocks.
Like its sister metal zirconium, finely divided hafnium can ignite spontaneously in air — similar to that obtained in Dragon's Breath.
Like bitted bridles, noseband-based designs can be gentle or harsh, depending on the hands of the rider.
Like IPv4, IPv6 supports globally unique static IP addresses, which can be used to track a single device's Internet activity.
Like Berkeley Bradley thought that nothing can be known to exist unless it is known by a mind.
Like other hemorrhagic fevers, Lassa fever can be transmitted directly from one human to another.
Like non-Latinos, a Latino can be of any race or combination of races: White / Caucasian, Black / African American, Asian, Native American, Native Hawaiian / Other Pacific Islander American, or two or more races.
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