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Page "Control theory" ¶ 81
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If and state
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 we grasp this opportunity to build an age of productive partnership between the less fortunate nations and those that have already achieved a high state of economic advancement, we will make brighter the outlook for a world order based upon security and freedom.
If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.
If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.
If this is the case, one would expect that not only the various procedures just mentioned which alter the hypothalamic balance would influence emotional state and behavior but that emotion itself would act likewise.
If only state funds were used to pay for the vocational education, it could be argued that the state should not have to bear the cost of vocational training which would benefit employers in other states.
If it failed on occasion to elect its candidates for general state offices by majorities, the failure was due to a lingering remnant of the Know-Nothing party, which called itself the American Republican party.
If, however, we are seeking the optimal R-stage policy for a given feed state, only one search for a maximum is required at the final step.
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 this aspect of death as punishment is not distinguished from the idea of death as natural termination, the conclusion seems inevitable that temporal existence itself is a form of punishment rather than the state into which man is put by the will of the Creator.
If denotes the quantum state of a particle ( n ) with momentum p, spin J whose component in the z-direction is σ, then one has
If he had any reasons of state for such actions they remained unknown to his contemporaries.
If an antibody is developed to stabilize a molecule that's similar to an unstable intermediate of another ( potentially unrelated ) reaction, the developed antibody will enzymatically bind to and stabilize the intermediate state, thus catalyzing the reaction.
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 same state vector appears on both bra and ket side,
If the proposal is rejected, the debtor is returned to his prior insolvent state and may have no alternative but to declare personal bankruptcy.
If we take the simple molecular orbital description of the ground state and combine that function with the functions describing all possible excited states using unoccupied orbitals arising from the same set of atomic orbitals, we also reach the full configuration interaction wavefunction.
" If psychiatry is the medical technique that aims to enable man no longer to be a stranger to his environment, I owe it to myself to affirm that the Arab, permanently an alien in his own country, lives in a state of absolute depersonalization .” ( 2 )
If a person has one or both parents who are citizens of a given state, then the person is normally a citizen of that state as well.
If a state is not controllable, then no signal will ever be able to control the state.
If a state is not controllable, but its dynamics are stable, then the state is termed Stabilizable.

If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If it is an honest feeling, then why should she not yield to it??
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If he is a traditionalist, he is an eclectic traditionalist.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If and observable
If confirmed, this would imply special relativity is an approximation to a more general theory, but since the relevant comparison would ( by definition ) be outside the observable universe, it is difficult to imagine ( much less construct ) experiments to test this hypothesis.
If the entire volume of the observable universe ( taken to be 3 × 10 < sup > 80 </ sup > m < sup > 3 </ sup >) were packed solid with fine dust particles about 1. 5 micrometres in size, then the number of different ways of ordering these particles ( that is, assigning the number 1 to one particle, then the number 2 to another particle, and so on until all particles are numbered ) would be approximately one googolplex.
If the operator's spectrum is discrete, the observable can only attain those discrete eigenvalues.
If one were to only take what was at face value observable, many scientific phenomena never would have been discovered.
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 an object with comparable mass to that of the Earth were to fall towards it, then the corresponding acceleration of the Earth really would be observable.
If there are as many monkeys as there are particles in the observable universe ( 10 < sup > 80 </ sup >), and each types 1, 000 keystrokes per second for 100 times the life of the universe ( 10 < sup > 20 </ sup > seconds ), the probability of the monkeys replicating even a short book is nearly zero.
If true, sonoluminescence may be the first observable example of quantum vacuum radiation.
If the rest mass is imaginary this implies that the denominator is imaginary since the total energy is an observable and thus must be real ; therefore the quantity under the square root must be negative, which can only happen if v is greater than c. As noted by Gregory Benford et al., among others, special relativity implies that tachyons, if they existed, could be used to communicate backwards in time ( see Tachyonic antitelephone article ).
If the factor i were absent, the H matrix would be antihermitian and would have purely imaginary eigenvalues, which is not the traditional way quantum mechanics represents observable quantities like the energy.
If the observable universe encompasses the entire universe, we may determine the global structure by observation.
If the observable universe is smaller than the entire universe ( in some models it is many orders of magnitude smaller or even infinitesimal ), observation is limited to a part of the whole.
An observable is represented by a self-adjoint ( i. e. Hermitian ) operator A on H. If H is finite dimensional, by the spectral theorem, A has an orthonormal basis of eigenvectors.
If quality were observable, the price of used cars would therefore be somewhere between and, and the cars would be sold and everyone would be perfectly happy.
If the quality of cars is not observable by the buyers, then it seems reasonable for them to estimate the quality of a car offered to market using the average quality of all cars.
If the universe is finite but unbounded, it is also possible that the universe is smaller than the observable universe.
If these describe our universe, then Lorentz symmetry violation may be observable.
If the demon were not contained within and computed by the universe, any accurate simulation of the universe would be indistinguishable from the universe to an internal observer, and the argument remains distinct from what is observable.
If God is not literally made up of physical matter, and does not have an observable effect on the world, making a statement about God is not a matter of fact.
If an observable is measured and the result is a certain eigenvalue, the corresponding eigenvector is the state of the system immediately after the measurement.
If a system is not observable, this means the current values of some of its states cannot be determined through output sensors: this implies that their value is unknown to the controller and, consequently, that it will be unable to fulfil the control specifications referred to these outputs.
If a system i-th energy eigenstate has n < sub > i </ sub > number of particles, the corresponding observable, the number operator, is given by
If a system is observable, it is possible to fully reconstruct the system state from its output measurements using the state observer.
If this system is observable then the output of the plant,, can be used to steer the state of the state observer.

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