If a region quadtree is used to represent a set of point data ( such as the latitude and longitude of a set of cities ), regions are subdivided until each leaf contains at most a single point.

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 the data to be compressed is analog ( such as a voltage that varies with time ),

If a compression scheme is lossless — that is, you can always recover the entire original message by uncompressing — then a compressed message has the same quantity of information as the original, but communicated in fewer bits.

If the picture contains an area of the same color, it can be compressed without loss by saying " 200 red dots " instead of " red dot, red dot, ...( 197 more times )..., red dot.

If data which has been compressed lossily is decoded and compressed losslessly, the size of the result can be comparable with the size of the data before lossy compression, but the data already lost cannot be recovered.

If all of the ozone were compressed to the pressure of the air at sea level, it would be only 3 millimeters thick.

If the compressor could not reproduce enough data in the compressed version to reproduce the original, the result is a diminishing of quality, or introduction of artifacts.

If any humidity subsists in the compressed air, the engine will stop due to inner icing.

If the compression forces were closer to the fovea the resulting compression would cause a greater amount of macropsia at lower field angles with little effect at higher field angles where the receptor distribution is not as compressed.

If the sealing ring is tightened too much, the skirt is compressed too tightly to allow it to open and the bottle will not vent.

If the system at State A is isothermally compressed ( compressed with no change in system temperature ) then the relative humidity of the system increases because the partial pressure of water in the system increases with increasing system pressure.

If the trapped air is not allowed to escape, it is compressed by the pressure of the incoming material and is squeezed into the corners of the cavity, where it prevents filling and causes other defects as well.

If pure oxygen is used, no oxygen breathing mask or helmet is needed, but the cost of using pure oxygen is much higher than that of using compressed air.

If compressed air is used then an oxygen mask or hood is needed as in a multiplace, hard chamber.

If high pressure gas were used, then the gas would expand to pV = nRT with its compressed volume resulting in an explosion, with the attendant risk of damage or injury.

If a small cube of metal is compressed between the jaws of a press, it will contract — that is it will be squashed somewhat — and a very large force can be resisted by it without ultimate failure.

If the fluid is compressed in the magnetic field direction and the compressive stress is 2 MPa, the shear strength is raised to 1100 kPa.

If one passenger enters the car, this pressure becomes higher by the value of his weight ( the gas in the spheres compressed to an equal degree, i. e. has now become " harder ").

If aerosol cans were simply filled with compressed gas, it would either need to be at a dangerously high pressure and require special pressure vessel design ( like in gas cylinders ), or the amount of gas in the can would be small, and would rapidly deplete.

If the gas pressure inside the bell were not raised by adding gas to compensate for the outside water pressure, the bell would partially fill with water as the gas was compressed.

If the bottle ruptures, the amount of compressed air inside it ( and thus the potential energy ) will be very small, and the bottle will not explode.

If data is stored uncompressed, it takes more space but less time than if the data were stored compressed ( since compressing the data reduces the amount of space it takes, but it takes time to run the decompression algorithm ).

; Editing: If one wishes to edit data in a compressed format ( for instance, perform image editing on a JPEG image ), one will generally decode it, edit it, then re-encode it.

If the player is not capable of using the side information that has been transmitted alongside the " normal " compressed audio data, it may still be able to play the " baseband " data as usual, resulting in a dull ( since the high frequencies are missing ), but otherwise mostly acceptable sound.