Furthermore, the short time between a vector becoming infectious and the onset of symptoms allows medical professionals to quickly quarantine vectors, and prevent them from carrying the pathogen elsewhere.

Furthermore, for mathematicians, according to this formula the gluon color field can be represented by a SU ( 3 )- Lie algebra-valued " curvature "- 2-form where is a " vector potential "- 1-form corresponding to G and is the ( antisymmetric ) " wedge product " of this algebra, producing the " structure constants " f < sup > abc </ sup >.

Furthermore, if u < sub > 1 </ sub > and u < sub > 2 </ sub > are two left-singular vectors which both correspond to the singular value σ, then any normalized linear combination of the two vectors is also a left-singular vector corresponding to the singular value σ.

Furthermore, is defined as the set of all light sources, as the direction vector from the point on the surface toward each light source ( specifies the light source ), as the normal at this point on the surface, as the direction that a perfectly reflected ray of light would take from this point on the surface, and as the direction pointing towards the viewer ( such as a virtual camera ).

Furthermore, there is often no need to compute directly during computation, as is the case with support vector machines.

where denotes the Jacobian matrix of φ < sub > 0 </ sub >, and v < sub > 0 </ sub > = v < sub > 0 </ sub >( x, y ) is a vector field on R < sup > 2 </ sup > uniquely determined by v. Furthermore, on the overlap between the coordinate charts U < sub > 0 </ sub > ∩ U < sub > 1 </ sub >, it is possible to represent the same vector field with respect to the φ < sub > 1 </ sub > coordinates:

Furthermore, we know that a vector K in the reciprocal lattice can be expressed as a linear combination of its primitive vectors.

Furthermore, if the vectors construct a reciprocal lattice, it is clear that any vector satisfying the equation:

* Furthermore, if a representation ρ has a subrepresentation σ then the quotient of the representing vector spaces for ρ and σ has a well defined action of G on it.

Furthermore, the set of Jacobi fields along a given geodesic forms a real vector space of dimension twice the dimension of the manifold.

Furthermore, this condition occurs mathematically from the vector triplet E, H and k.

Furthermore, we assume that we are given a SO ( p, q ) principal bundle B over M and a SO ( p, q )- vector bundle V associated to B by means of the natural n-dimensional representation of SO ( p, q ).

Furthermore, if the principal minors of the matrix are all positive ( known as the Hawkins-Simon Condition ), the required output vector is non-negative.

Furthermore, the space of allowable shapes over which the optimization is performed does not admit a vector space structure, making application of traditional optimization methods more difficult.

Furthermore, any fibre inherits the structure of a symplectic vector space.

Furthermore, the CIA instructed the contras to destroy and sabotage economic and social targets such as lumber yards, coffee processing plants, electrical generating stations, farms, cooperatives, food storage facilities, health centers, including a particular effort to dusrupt the coffee harvests through attacks on coffee cooperatives and on vehicles carrying volunteer coffee harvesters.

Furthermore, God must live forever and therefore must have a deterministic processing unit or infinite error correction mechanisms.

Furthermore, they act as buffering systems whereby they reduce coastal erosion, and improve water quality for in situ animals by processing material and ‘ filtering ’ sediments.

Furthermore, technological advances by orders of magnitude in processing power have made the brute force approach far more incisive than was the case in the early years.

Furthermore, the Kalman filter is a widely applied concept in time series analysis used in fields such as signal processing and econometrics.

Furthermore, the Israeli Teva company, the world's largest generic drug manufacturer is headquartered in Petah Tikva, whilst one of Israel's leading food processing corporations, Osem opened in Petah Tikva in 1976 and has since been joined by the company's administrative offices, distribution center and sauce factory.

Furthermore, individuals with Williams syndrome have problems with visual processing, but this is related to difficulty in dealing with complex spatial relationships rather than to issues with depth perception.

Furthermore, improved compression and error correction schemes were introduced in the newest protocols, requiring processing power by the modem itself.

Furthermore, much of the initial harvest was damaged during processing and shipping because ripe tomatoes are unavoidably more delicate than unripened ones.

Furthermore, several studies have used PET to assess the central processing of noxious somatosensory stimuli in patients in PVS.

Furthermore, XPath allows the application to bind the relevant data items and filter out everything else, avoiding the unnecessary processing that would be required to completely unmarshall the entire XML document.

Furthermore, the understanding of sensory processing in animals served as inspiration for the SIFT descriptor ( Lowe, 1999 ), which is a local feature used in computer vision for tasks such as object recognition and wide-baseline matching, etc.

Furthermore, EPD has been used to produce customized microstructures, such as functional gradients and laminates, through suspension control during processing.

Furthermore, computational cybernetics covers not only mechanical, but biological ( living ), social and economical systems and for this uses computational intelligence based results of communication theory, signal processing, information technology, control theory, the theory of adaptive systems and the theory of complex systems ( game theory, operational research ).

Furthermore, Cheboksary is the location of the Association of Hop Growers of Russia, an organization founded in 1994 that aims to increase production and processing of hops in Russia.

Furthermore, the designer of NN systems will often need to simulate the transmission of signals through many of these connections and their associated neurons-which must often be matched with incredible amounts of CPU processing power and time.

Furthermore, the developing of Kodachrome has always required a complex, fickle process requiring an on-site analytical lab and required a turnaround of several days to allow for shipping times to the last Kodachrome processing facility, Dwayne's Photo in Parsons, Kansas, which discontinued processing on 30 December 2010.

Furthermore, the low probability keeps the processing overhead as well as the bandwidth requirement low.

Furthermore, wood processing and paper converting are also important.

Furthermore, opponents of the bill claimed that small grocery stores would face an extraordinary financial burden from receiving and processing thousands of bottles and cans, potentially bankrupting several stores.

Furthermore, in " Audio Creation mode " with " bit-matched playback " option, the X-Fi can work with real 44, 100 Hz sample rate without any kind of resampling or other signal processing.

Furthermore, as the hippocampus is the region controlling learning and memory processes, the roles of Schaffer collateral are potential to find treatments for diseases related to the hippocampus or its neural processing pathways such as Alzheimer's disease, a neurodegenerative disorder.

Furthermore, due to the high interconnectivity of ANN, they tend not exploit locality in either the data set or the processing and as a result, they usually are highly redundant systems that allow for robust, fault-tolerant behavior without catastrophic errors.

Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold.

Furthermore, within CGS, there are several plausible choices of electromagnetic units, leading to different unit " sub-systems ", including Gaussian, " ESU ", " EMU ", and Heaviside – Lorentz.

Furthermore, Jack Warner, who had little regard for his company's short film product, reputedly was so ignorant of his animation division that he was mistakenly convinced that the unit produced cartoons of Mickey Mouse, rival company Walt Disney Pictures ' flagship character.

Furthermore, consonant blends ( separate, adjacent consonant phonemes ) are taught as units ( e. g., in shrouds the shr would be taught as a unit ).

Furthermore, all of the Underground's WWII-era wooden escalators were replaced with modern steel ones except for one unit, which still operates at Greenford station, where the escalator is above ground and serves an area that is not enclosed at either end.

Furthermore, members of the 1st and 2nd Filipino Infantry Regiments who wished to remain in the Philippines upon being discharged were transferred to a subordinate unit under this division.

Furthermore, if is a unit,

Furthermore, replacing the unit circle by the unit square, the error term for the general problem can be as large as a linear function of r. Therefore getting an error bound of the form

Furthermore, the complex features a parking area of 27, 000 square meters, a large computer and telecommunications unit, a cultural and scientific unit, a commercial transaction centre, a temporary showroom for exhibiting products, a specialised library, an exhibition hall, and an administrative unit.

Furthermore, if the temperature outside is severely too hot, such as over 110 degrees F, the unit will not cool the air sufficiently for comfort even if the dew point outside is very low.

Furthermore, the graph of the rose in this case forms a dense set ( i. e., it comes arbitrarily close to every point in the unit disk ).

Furthermore, G-Force is reinstated as a unit of the Bureau and expanded with Hurley, Bucky and the mice inducted as new recruits.

Furthermore, the Court contended that the Amish community was a very successful social unit in American society, a self-sufficient, law-abiding member of society, which paid all of the required taxes and rejected any type of public welfare.

Furthermore, it made the 48th the only wing operating with its own replacement training unit.

Furthermore the silver coating applied to the main central control button in the original 32 MB unit would often peel and flake off with use.

Furthermore, the shifting of a town from a Police to a Gendarmerie zone was often controversial, because, typically, a gendarmerie unit serves a wide area.

Furthermore, SET has better outcomes in terms of mean gestational age at delivery, mode of delivery, birthweight, and risk of neonatal intensive care unit necessity than DET.

Furthermore, because modern tiptronic-type transmissions use an electronic control unit ( ECU ), sometimes specifically referred to as the transmission control unit, the transmissions are able to adapt to the user's driving style through " fuzzy logic ".

Furthermore, building is down by alternating colour and a sequence can be moved as a unit in part or in whole.