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If and associated
If the direct-sum decomposition ( A ) is valid, how can we get hold of the projections Af associated with the decomposition??
If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.
If arachnophobics see a spider, they may not enter the general vicinity until they have overcome the panic attack that is often associated with their phobia.
If the norm of a Banach space satisfies this identity, the associated inner product which makes it into a Hilbert space is given by the polarization identity.
If it just includes any PUBLIC identifier, it may be processed as standalone, if the XML processor knows this PUBLIC identifier in its local catalog from where it can retrieve an associated DTD entity.
If superoxide ion associated to Fe < sup > 3 +</ sup > is protonated the hemoglobin iron will remain oxidized and incapable of binding oxygen.
If a set of weights, ..., is associated to the dataset, ...,, the weighted harmonic mean is defined by
If the person has a mental illness and it is determined that the mental illness interfered with the person's ability to determine right from wrong ( and other associated criteria a jurisdiction may have ) and if the person is willing to plead guilty or is proven guilty in a court of law, some jurisdictions have an alternative option known as either a Guilty but Mentally Ill ( GBMI ) or a Guilty but Insane verdict.
If a Lie algebra is associated with a Lie group, then the spelling of the Lie algebra is the same as that Lie group.
If the disease is associated with cancer, direct treatment of the cancer often relieves the symptoms of LEMS.
If a coordinate is not a Cartesian coordinate, the associated generalized momentum component does not necessarily have the dimensions of linear momentum.
If the IMF has a southward component, this not only pushes the magnetopause boundary closer to Earth ( at times to about half its usual distance ), but it also produces an injection of plasma from the tail, much more vigorous than the one associated with substorms.
If the work done moving along a path which starts and ends in the same location is zero, then the force is said to be conservative and it is possible to define a numerical value of potential associated with every point in space.
If the attacker finds a match, he knows that his guess is the actual password for the associated user.
If a photon moves from one place and time – in shorthand, A – to another place and time – shorthand, B – the associated quantity is written in Feynman's shorthand as P ( A to B ).
If it is another extension, the operator places the front cord in the associated jack and pulls the front key backwards to ring the called party.
If the supply curve starts at < tt > S2 </ tt >, and shifts leftward to < tt > S1 </ tt >, the equilibrium price will increase and the equilibrium quantity will decrease as consumers move along the demand curve to the new higher price and associated lower quantity demanded.
If there is a negative externality associated with a good, meaning that it has negative effects not felt by the consumer, then a free market will trade too much of that good.
If a secondary body orbits a primary body, the forces that could tear the second body apart if its strength and internal gravity are not enough, are the tidal force and the " centrifugal force " associated with any rotation of the secondary body about its axis.
If this is so, then it does not have a single associated measurement as the system is not in an eigenstate of the observable.
If r is the degree of the primitive generator polynomial, then the maximal total block length is, and the associated code is able to detect any single-bit or double-bit errors.
If the energy density is positive, the associated negative pressure will drive an accelerated expansion of the universe, as observed.
If a prisoner qualifies, a state may allow compassionate early release to avoid high costs associated with organ transplants.
If some of the stellar magnetic fields are really induced by dynamos, then field strength might be associated with rotation rate.
If so, Offa's intervention was probably intended to gain control of this relationship and take over the dominance of the associated kingdoms.

If and jet
If, for some reason such as economy, we are not going to develop aircraft nuclear propulsion with a sense of national urgency, then we should turn our effort to developing jet engines with a thrust-to-weight ratio of 12 or 15 to one.
If a person ‘ synthesizes ’ ajet plane landing ’ sound, this is achieved mostly by altering the shape of the mouth to filter the white noise into pink noise by removing the higher frequencies.
If a jet aircraft is at full throttle but is tied to a very strong tree with a very strong chain, then the jet engine produces no propulsive power.
If the erupted jet is unable to heat the surrounding air sufficiently, convection currents will not be strong enough to carry the plume upwards and it falls, flowing down the flanks of the volcano.
If the jet emits a burst of energy every minute in its own rest frame this may be observed on Earth as being a much faster release, perhaps one burst every ten seconds.
If a jet engine were to run in " reverse " in this context, it would take in ambient heat and exhaust fumes to generate kerosene and oxygen.
If ( i. e. when velocity of jet is close to the velocity of light ) then despite the fact that < math >
He reported a narrow escape when, at the foot of the mountain, a jet of steam came out of the ground over which he and his party had just passed: " If it had struck any one of us we would have been scalded to death ".
If the nozzle pressure ratio is above the critical value ( about 1. 8: 1 ) a convergent nozzle will choke, resulting in some of the expansion to atmospheric pressure taking place downstream of the throat ( i. e. smallest flow area ), in the jet wake.
If an incoming HEAT jet penetrates the outer shell and forms a bridge between the shells, the electrical energy discharges through the jet, disrupting it.
If the molecular cohesion of the liquid is sufficiently high, stream breakup does not occur ( if it does, droplets are electrosprayed ) and a charged liquid jet is formed.
If the jet is oriented along the line of sight to Earth, relativistic beaming will change its apparent brightness.
If M and N are two smooth manifolds, how do we define the jet of a function?
If the mouth is open the jet may project several feet.
If the jet turns into very fine fibers instead of breaking into small droplets, the process is known as electrospinning.
If the jet wave is survived, there is a short respite, then the next round of helicopters begins with an extra row of helicopters on the first run.
If the jet had an opening angle of only a few degrees, the burst energy could have been thousands of times lower.
If a stream or jet of air is directed through a flame, fuel air mixing is enhanced and the jet exiting the flame is intensely hot.

1.031 seconds.