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If and each
If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.
If the railroads, for example, regularly slaughtered 25,000 passengers each year, the high priests of the cult would have cause to tremble for their personal safety, for such a holocaust would excite demands for the hanging of every railroad president in the United States.
If a branch extended out too far, each man held it back for the next, and if they met a low overhang, each warned the other.
If coffee is sold at the cafeteria, let a few workers in each department get it for the whole group.
If no specific organization plan exists limiting the number of scientists at each salary level, the result is a department top-heavy with high-level, high-salaried personnel ''.
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 each text form is marked when matched with a dictionary form, the text forms not contained in the dictionary can be identified when all dictionary forms have been read.
If cell Af is an information cell, it and any information cells in the Y-region that have been linked to Af each contain an address in the W-region where a potentially matching form is stored.
If the bottom name in each column did not have a responsible executive identified, the next name above which identified such a responsible executive was substituted.
If the wedding party lasted late, and the travel schedule means there are only a few hours before resuming the trip or making an early start, the husband may forestall tensions and uncertainties by confiding to his bride that lying in each other's arms will be bliss enough for these few hours.
If he is not told which of four or five readings was meant for him, he can more readily assess each item in a larger frame: `` Does that statement really sound as if it were for me, significant in my particular life??
If laborers are merely commodities competing against each other in a market place like so many bags of wheat and corn ( unsupported, by the way, by any agricultural subsidy ), then they may be pardoned for reacting with complete antagonism to a system that imposes such status upon them.
If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.
If we try to choose an element from each set, then, because X is infinite, our choice procedure will never come to an end, and consequently, we will never be able to produce a choice function for all of X.
If a particle and antiparticle are in the appropriate quantum states, then they can annihilate each other and produce other particles.
If the square mile is divided into quarters, each quarter has a side length of mile ( 880 yards ) and is square mile in area, or 160 acres.
If each node additionally records the size of its subtree ( including itself and its descendants ), then the nodes can be retrieved by index in O ( log n ) time as well.
If the domain of F is a disjoint union of two or more intervals, then a different constant of integration may be chosen for each of the intervals.
If a water absorbing swale for each yard is combined with permeable concrete streets, storm drains can be omitted from the neighbourhood.
If the candidate relies on sponsors, the celebrant asks them if they will raise the child in " the Christian faith and life " ( ECUSA BCP ), and will raise the child through " prayers and witness to grow into the full stature of Christ " to which the parents will state to each, " I will, with God's help.
If the dealer does not bust, each remaining bet wins if its hand is higher than the dealer's, and loses if it is lower.
If all four players pass in the first round, the deal is not played ; in rubber bridge the deal is not scored and the hand is redealt by the original dealer, while in duplicate the score is recorded as zero for each pair and returned to the board.

If and satellite
If a planet is found to rotate slower than expected, then astronomers suspect that the planet is accompanied by a satellite, because the total angular momentum is shared between the planet and its satellite in order to be conserved.
If the heavier body is much more massive than the smaller, as for a satellite or small moon orbiting a planet or for the Earth orbiting the Sun, it is accurate and convenient to describe the motion in a coordinate system that is centered on the heavier body, and we say that the lighter body is in orbit around the heavier.
If one could see a satellite in geostationary orbit, it would appear to hover at the same point in the sky, i. e., not exhibit diurnal motion, while the Sun, Moon, and stars would traverse the heavens behind it.
If the link includes a communications relay satellite, the forward link will consist of both an uplink ( base station to satellite ) and a downlink ( satellite to mobile user ).
If the link includes a communications relay satellite, the reverse link will consist of both an uplink ( mobile station to satellite ) and a downlink ( satellite to base station ) which together constitute a half hop.
If no other satellite is in view, the connection is dropped.
If the satellite is more than twice as dense as the primary, as can easily be the case for a rocky moon orbiting a gas giant, then the Roche limit will be inside the primary and hence not relevant.
If thrust is applied to speed the satellite, it will create an elliptical orbit with a higher apoapse 180 degrees away from the firing point.
If the satellite is above the horizon, it can be generally received, if it is below the horizon, reception is not possible.
If you were to incorporate the other aspects of vehicle telematics into this scenario ; the dispatcher, rather than phoning the recovery vehicle operative, could transmit the job details directly to the operative ’ s mobile data device, who would then use the in-vehicle satellite navigation to aid his journey to the job.
In January 2010, the Supreme Court struck sections of McCain – Feingold down which limited activity of corporations, saying, " If the First Amendment has any force, it prohibits Congress from fining or jailing citizens, or associations of citizens, for simply engaging in political speech .” Specifically, Citizens United struck down campaign financing laws related to corporations and unions ; law previously banned the broadcast, cable or satellite transmission of " electioneering communications " paid for by corporations in the 30 days before a presidential primary and in the 60 days before the general election.
If the body in question is a satellite in orbit for example, and all that is required is to find its velocity, then a single point may be the best representation.
If this star were to explode as a type Ia supernova at its estimated distance of 3300 light-years, it would have an apparent magnitude of around-9. 3, about as bright as the brightest Iridium ( satellite ) flares.
If, however, the primary is tidally locked with the satellite, the rotational period will coincide with the 9. 7-day orbital period of Vanth.
If a satellite phone provider encounters trouble with its network, handset prices will fall, then increase once new satellites are launched.
If the battery runs low, the weapon has a transmitter that sends a coded message — either by satellite or directly to a GRU post at a Russian embassy or consulate .” According to Lunev, the number of " missing " nuclear devices ( as found by General Lebed ) " is almost identical to the number of strategic targets upon which those bombs would be used.
If the satellite doesn't receive the messages from the transmitter 14 Type-240 Blast Plasma based nuclear warheads in the airports of the Northern, “ pro-black ” capital cities of the United States will explode, destroying these cities, and making way for a new, racist, Confederate America.
If a giant impact is the only way for a rocky inner planet to acquire a large satellite, any planet in the circumstellar habitable zone will need to form as a double planet in order that there be an impacting object sufficiently massive to give rise in due course to a large satellite.

If and had
If he had married her, he'd have been asking for trouble.
If the bluff failed and they ran into trouble, Brannon had told the others, they would withdraw -- and he would come after his son another time.
If he wondered whether the attackers would allow him to pull away unmolested, he had his answer a moment later.
If any had escaped expulsion by hiding, they certainly would not frequent the market-place.
If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.
If he had been `` liquidated '' in some way, he would have become a martyr, a rallying point for people who shared his ideas.
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
If you had screamed right there in the street where we stood, I could not have felt more fear.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
If Hammarskjold had not wanted the list disposed of in this manner, and if Bang-Jensen had not wanted it -- who had ordered it??
If Gorton wanted peace and quiet for his complicated meditations this is where he should have had it.
If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.
If this capacity had not failed them, they would see that their enemy has made a disastrous miscalculation.
If he had had a son, he would tell him, `` Gather ye rosebuds while ye may This same flower that smiles today tomorrow will be dying ''.
If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.
If we had, then one of us would have had to go instead.
If he had income other than wages subject to withholding, he may be required to file Form 1040.
If our SAC bombers were, today, capable of surviving a surprise missile attack and because of infinite dispersion or long endurance had the capability to strike at Russia again, and again, and again, those bombers would unquestionably assure our military dominance.

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