If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.

`` If I have seemed to emphasize the structure of the composition, I mean to project equal concern for color.

If it wants to become a high-income or upper middle-income country, it can not do so with this kind of economic structure.

If this is true it would support the notion that God is himself the Redeemer, by associating him with the living Redeemer in the parallel structure.

If in the above we relax Banach space to normed space the analogous structure is called a normed algebra.

If we take the simple valence bond structure and mix in all possible covalent and ionic structures arising from a particular set of atomic orbitals, we reach what is called the full configuration interaction wave function.

If there is one particular coordinate change that leads to a decrease in the total energy in both directions, the stationary point is a transition structure and the coordinate is the reaction coordinate.

If one eigenvalue is negative ( i. e., an imaginary frequency ), then the stationary point is a transition structure.

If there is still a tie, each atom in each of the two lists is replaced with a sub-list of the other atoms bonded to it ( at distance 3 from the stereocenter ), the sub-lists are arranged in decreasing order of atomic number, and the entire structure is again compared atom by atom.

If the third layer is placed so that its atoms are directly above those of the first layer, the stacking will be ABA — this is the hcp structure, and it continues ABABABAB.

If anything, the research has shown the situation is even more complex than initially imagined, and we believe not enough is known to structure the classification of psychiatric disorders according to etiology.

If the energetic material in these items inadvertently initiates, most of the energy and fragments will be contained within the storage structure or the item containers themselves.

If some of the units in the fold are facing downward, the structure is called an overturned anticline or syncline, and if all of the rock units are overturned or the correct up-direction is unknown, they are simply called by the most general terms, antiforms and synforms.

If on the other hand Theorem 2 holds and φ is valid in all structures, then ¬ φ is not satisfiable in any structure and therefore refutable ; then ¬¬ φ is provable and then so is φ, thus Theorem 1 holds.

If ψ is satisfiable in a structure M, then certainly so is φ and if ψ is refutable, then is provable, and then so is ¬ φ, thus φ is refutable.

If is satisfiable in a structure M, then, considering, we see that is satisfiable as well.

In computer science, a heap is a specialized tree-based data structure that satisfies the heap property: If A is a parent node of B then key ( A ) is ordered with respect to key ( B ) with the same ordering applying across the heap.

If a more sophisticated data structure ( e. g., heap or binary tree ) is used, the time required for searching and insertion can be reduced significantly ; this is the essence of heap sort and binary tree sort.

If a skip list is used, the insertion time is brought down to O ( log n ), and swaps are not needed because the skip list is implemented on a linked list structure.

If there is a crystallographic structure to the target, and especially in semiconductor substrates where the crystal structure is more open, particular crystallographic directions offer much lower stopping than other directions.

* If we grant a building permit to build a religious structure in our community, then there will be no bound on the number of building permits we will have to grant for religious structures and the nature of this city will change.

If we require that the Lie group be simply connected, then the global structure is determined by its Lie algebra: for every finite dimensional Lie algebra over F there is a simply connected Lie group G with as Lie algebra, unique up to isomorphism.

If the list is stored as an array data structure, the location may be the index of the item found ( usually between 1 and n, or 0 and n − 1 ).

If there is a single seller in a certain industry and there are not any close substitutes for the product, then the market structure is that of a " pure monopoly ".

If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.

If you don't leave this country within 3 days, your life will be taken the same as Powell's was.

If we was both armed, you wouldn't talk so tough ''.

If it were the enemy, tactically his position was correct.

If the turn was too tight, a barrel roll would bring them out.

If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.

If Franklin was an authentic genius, then Alexander Hamilton, with his exceptional precocity, consuming energy, and high ambition, was a political prodigy.

`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.

If an automobile were approaching him, he would know what was required of him, even though he might not be able to act quickly enough.

If living Jews were unavailable for study, the Bible was at hand.

If there was ever a thought in her mind she might devote her life to religion, it was now dispelled.

If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.

If she were not at home, Mama would see to it that a fresh white rose was there.

If, as Reid says, `` nearly all his poetry was produced when he was not taking opium '', there may be some reason to doubt that he was under its influence in the period from 1896 to 1900 when he was writing the poems to Katie King and making plans for another book of verse.

If Robinson was a liar and a slanderer, he was also a very canny gentleman, for nothing that Pike could do would pry so much as a single word out of him.

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 the historian was convinced of his own correctness, then he should not allow his vision to become fogged by disturbing facts.

If their schedules were to synchronize, there was no point in wasting time.

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.