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, however, the figure to be discerned were complicated, composed of several interlocking subfigures, and so on, even the tracing process failed him, and he could not focus even relatively simple shapes among its parts.

If we consider a process in which the outcome of one stage is known before passage to the next, then the principle of optimality shows that the policy in subsequent stages should be optimal with respect to the outcome of the first.

If T is the total `` length '' of the process, its feed state may be denoted by a vector p(T) and the product state by p(Q).

If economic integration really shapes congregational life, then evangelism should be a process of extending economic integration.

If the church has followed the plan of cultivation of prospects and carried through a program of membership preparation as outlined earlier in this book, the process of assimilation and growth will be well under way.

If the two totals do not agree, an error has been made either in the journals or during the posting process.

If this process is repeated fast enough, the goat will appear to move smoothly to the left.

If the numbers describing the position of the pyramid were changed and this process repeated, the pyramid would appear to move.

:" If I had stated ... the possibility of the introduction or origination of fresh species being a natural, in contradistinction to a miraculous process, I should have raised a host of prejudices against me, which are unfortunately opposed at every step to any philosopher who attempts to address the public on these mysterious subjects ".

If the incongruence is immoderate this process may lead the individual to a state that would typically be described as neurotic.

If this process happens faster than it is naturally quenched by ions recombining, the new ions multiply in successive cycles until the gas breaks down into a plasma and current flows freely in a discharge.

If a rule has as a singleton on its RHS, add a new rule unless has already been removed through this process.

If the sound of the word is emphasized during the encoding process, the cue that should be used should also put emphasis on the phonetic quality of the word.

If this sounds indulgent, it allows simultaneity, absolute space and time and a deterministic universe ( along with decoherence theory ) whilst the status-quo permits time travel / causality paradoxes, subjectivity in the measurement process and multiple universes.

If the pores are filled with water, then the water must be squeezed out of the pores to allow volumetric compression of the soil ; this process is called consolidation.

If all water flow has stopped, the loaded waste valve reopens against the now static head, which allows the process to begin again.

If this process is the source of our feelings about justice, that ought to undermine our confidence in them.

If left untreated, this growth can spread beyond the lung in a process called metastasis into nearby tissue and, eventually, into other parts of the body.

If the process pressure connection of an absolute pressure transmitter is open to the air, it will read the actual barometric pressure.

If plasma is pushed hard enough, it generates electric fields which allow it to move in response to the push, often ( not always ) deforming the magnetic field in the process.

If there are more registers, this saving and restoring process takes more time, increasing the latency.

If the Shanghai project is successful, there is interest in replicating the process in other Chinese ports.

If met with ideal conditions on a new planet's surfaces, the bacteria become active and the process of evolution begins.

If the ground state has a higher population than the excited state ( N < sub > 1 </ sub > > N < sub > 2 </ sub >), the process of absorption dominates and there is a net attenuation of photons.

If the higher energy state has a greater population than the lower energy state ( N < sub > 1 </ sub > < N < sub > 2 </ sub >), then the emission process dominates, and light in the system undergoes a net increase in intensity.