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If and inner
If the inner functions of religion are performed, the individual is a composed, ordered, motivated, and emotionally secure associate ; ;
If the gas is inhaled, some of the radon particles may attach to the inner lining of the lung.
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.
Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.
If μ is both inner regular and locally finite, it is called a Radon measure.
If the earlier completion procedure is applied to a normed vector space, the result is a Banach space containing the original space as a dense subspace, and if it is applied to an inner product space, the result is a Hilbert space containing the original space as a dense subspace.
The parallel postulate: If two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.
If one alters a Euclidean space so that its inner product becomes negative in one or more directions, then the result is a pseudo-Euclidean space.
If a charged Leyden jar is discharged by shorting the inner and outer coatings and left to sit for a few minutes, the jar will recover some of its previous charge, and a second spark can be obtained from it.
If no nucleus is present, but irregular and small dark inner spots indicating a cavity are visible, combined with concentric rings of organic substance, the pearl is likely a cultured freshwater.
If and are any complex numbers, the inner product is the standard inner product and the bar notation is used for complex conjugation then the inequality may be restated in more explicitly as
If Halley was once a long-period comet, it is likely to have originated in the Oort Cloud, a sphere of cometary bodies that has an inner edge of 20, 000 – 50, 000 AU.
If Earth's moon formed by such an impact, it is likely that other inner planets also would have been subjected to comparable impacts.
If the inner automorphism group of a perfect group G is simple, then G is called quasisimple.
If G arises as the group of units of a ring A, then an inner automorphism on G can be extended to a projectivity on the projective space over A by inversive ring geometry.
If the rainwater overflows the graduated inner cylinder, the larger outer container will catch it.
If W = V, then one can also pair the covector w * ∈ V * with the vector v ∈ V via ( w *, v ) → w *( v ), which is the duality pairing between V and its dual, sometimes called the inner product.
If such a collection of inner products on the tangent bundle of a manifold varies smoothly as one traverses the manifold, then concepts that were defined only pointwise at each tangent space can be extended to yield analogous notions over finite regions of the manifold.
If the cage is grounded, the excess charges will go to the ground instead of the outer face, so the inner face and the inner charge will cancel each other out and the rest of the cage will retain a neutral charge.
If the spacecraft's purpose is only to fly by the inner planet, then there is typically no need to slow the spacecraft.
If they fall from the utricle and become loose in the semicircular canals, they can distort the sense of movement and cause a mismatch between actual head movement and the information sent to the brain by the inner ear, causing a spinning sensation.
If any humidity subsists in the compressed air, the engine will stop due to inner icing.
If the star is in a binary system then the material will fall in through the inner Lagrangian point.

If and wire
If he backed against the fence, one of the cars would brush him as it passed, and he would be cruelly lacerated by the wire.
If for instance there had been a wire walker the reprise would involve two chairs with a piece of rope between and the clown trying to imitate the artiste by trying to walk between them with the resulting falls and cascades bringing laughter from the audience.
If the weight of the roadway per unit length is w and the weight of the cable and the wire supporting the bridge is negligible in comparison, then the weight on the cable from c to r is wx where x is the horizontal distance between c to r. Proceeding as before gives the differential equation
If not, actors frequently train in preparation for their roles, or the action director may rely more on stylized action or filmmaking tricks like camera angles, editing, doubles, undercranking, wire work, and computer-generated imagery.
If the gas pressure is reduced, the cooling effect will decrease, hence the equilibrium temperature of the wire will increase.
If this disc was removed from the machine and put on a similar machine provided with a contact point, the embossed record would cause the signals to be repeated into another wire.
So If a third metal is inserted in either wire and if the two new junctions are at the same temperature, there will be no net voltage generated by the new metal.
If the signal were normally open, no wire failure would be detected.
If pyramid scheme chain letters are sent through email it may constitute wire fraud.
If the coil of wire is wrapped around a material with no special magnetic properties ( e. g., cardboard ), it will tend to generate a very weak field.
If a micrometeorite of about 10 µm impacted, it would fracture the wire, destroy the electrical connection, and thus record the event.
If corrosion occurs, it occurs on the outside of the wire, not on the gas-tight contact where oxygen cannot penetrate to form oxides.
If the wire had negligible mass, the center of oscillation was close to the center of gravity of the sphere.
" If an attacker can modify the message on the wire, and can guess the format of the unencrypted message, the attacker could be able to change the amount of the transaction, or the recipient of the funds, e. g. "< tt > TRANSFER $ 0100000. 00 TO ACCOUNT # 227 </ tt >.
If the area available for the windings is filled up, more turns require going to a smaller diameter of wire, which has higher resistance, which cancels the advantage of using more turns.
If the position and current of the wire are reflected across the dotted line, the magnetic field it generates would not be reflected: Instead, it would be reflected and reversed.
If a wire breaks or tension is otherwise lost, the pulley falls back toward the mast, and one of its teeth will jam against the stop.
If we wrap our right hand around a wire with the thumb pointing in the direction of the current, the curl of the fingers shows how the field behaves.
If he had missed the boxes, no safety wire or parachute would have stopped him falling to the bottom of the ravine.
If copper wire is used, nitrogen must be used as a cover gas to prevent the copper oxides from forming during the wire bonding process.
If a wire joins the battery to one bulb, to the next bulb, to the next bulb, to the next bulb, then back to the battery, in one continuous loop, the bulbs are said to be in series.
If more than one team owner claims a player, a team's waiver wire position determines who gets the player.
If the separation D is much greater than the wire diameter d then this is approximately

0.255 seconds.