If precise dates are required, the beginning may be set in 802 AD, when the founder of the Khmer Empire, Jayavarman II pronounced himself universal monarch ( chakravartin ) and declared independence from Java, and the end may be set in 1431 AD, when Thai invaders from the kingdom of Ayutthaya sacked Angkor and caused the Khmer elite to migrate to Phnom Penh.

" If we mistakenly confuse precision with accuracy, then we might be misled into thinking that an explanation expressed in precise mathematical or graphical terms is somehow more rigorous or useful than one that takes into account particulars of history, institutions or business strategy.

If any bamboo shoots come up outside of the bamboo area afterwards, their presence indicates the precise location of the missed rhizome.

If one wanted to predict exactly how high a thrown ball would rise or exactly where and when it would hit the ground, it would be necessary to make a detailed calculation based on precise information about the ball, the altitude, the wind, and the force of the initial throw.

If a bee knows the direction to a feeding place found during a morning excursion, it can also find the same location, as well as the precise time at which this source provides food, in the afternoon, based on the position of the sun.

Generally speaking parametric methods make more assumptions than non-parametric methods .< ref name =" Corder and Foreman "> Corder and Foreman, < cite > Nonparametric Statistics for Non-Statisticians: A Step-by-Step Approach </ cite >, John Wiley & Sons ( 2009 ), ISBN 978-0-470-45461-9 </ ref > If those extra assumptions are correct, parametric methods can produce more accurate and precise estimates.

If his results can be generalised, they would suggest that none of the supposed paradoxes formulated in time travel stories can actually be formulated at a precise physical level: that is, that any situation in a time travel story turns out to permit many consistent solutions.

If a precise moment for the genuine " midnight sun " is required, the observer's longitude, the local civil time and the equation of time must be taken into account.

If a more precise solution is desired, another iteration is then performed, using the positions and motions of the planets as identified in the first iteration, but adding a first-order gravity interaction from each planet on the others.

If one uses the more precise definition of an Amor, those outer Earth grazers which never get closer to the Sun than the Earth does ( at any angle along its orbit ) are Amors, and those that do are Apollos.

; Level Three: The FASB describes Level 3 inputs as “ unobservable .” If inputs from levels 1 and 2 are not available, FASB acknowledges that fair value measures of many assets and liabilities are less precise.

If a landowner owns an acre of land, for instance, and wants to divide it into three pieces, a surveyor would have to take precise measurements of the land and submit the survey to the governing body, which would then have to approve it.

If the birth time cannot be obtained, or is not precise, some astrologers try to find it by rectification.

If observers and their measuring apparatus are themselves described by a deterministic wave function, why can we not predict precise results for measurements, but only probabilities?

If the signal being measured is actually smaller than the rounding error and the data are over-averaged, a positive result for the measurement can be found in the data where none exists ( i. e. a more precise experimental apparatus would conclusively show no such signal ).

If she is fortunate enough to fall on something warm ( which she perceives by means of an organ sensible to a precise temperature ) then she has attained her prey, the warm-blooded animal, and thereafter needs only the help of her sense of touch to find the least hairy spot possible and embed herself up to her head in the cutaneous tissue of her prey.

If two drift chambers are used with the wires of one orthogonal to the wires of the other, both orthogonal to the beam direction, a more precise detection of the position is obtained.

If she is fortunate enough to fall on something warm ( which she perceives by means of an organ sensible to a precise temperature ) then she has attained her prey, the warm-blooded animal, and thereafter needs only the help of her sense of touch to find the least hairy spot possible and embed herself up to her head in the cutaneous tissue of her prey.

If so, a far more precise orbital calculation can then be made.

If Schanuel's conjecture is true then this is, in some precise sense involving exponential rings, the only relation between e, π, and i over the complex numbers.

If you are good at estimating distances, or have a tape measure at hand, you can get precise, sharp focus with one of these cameras.

If one element is moved using a screw micrometer, precise angle measurements can be made.

If their free status was not the object of controversy, the situation was unclear concerning the precise nature of their subject status within Sparta versus the status of allied cities and the strangers.

If the words of the Statute are in themselves precise and unambiguous, then no more can be necessary than to expound those words in that natural and ordinary sense.

If S is the set of the non zero elements of an integral domain, then the localization is the field of fractions and thus usually denoted Frac ( R ).

If S is the complement of a prime ideal I the localization is denoted by R < sub > I </ sub >, and R < sub > f </ sub > is used to denote the localization by the powers of an element f. The two latter cases are fundamental in algebraic theory and scheme theory.

If S is not multiplicatively closed, it suffices to replace it by its multiplicative closure consisting in the set of the products of elements of S. This does not change the result of the localization.

If there is some notion of " localization " which can be carried over to modules, such as is given at localization of a ring, one can define locally free modules, and the projective modules then typically coincide with the locally free ones.

If X is an affine algebraic variety, and if U is an open subset of X, then K < sub > X </ sub >( U ) will be the field of fractions of the ring of regular functions on U. Because X is affine, the ring of regular functions on U will be a localization of the global sections of X, and consequently K < sub > X </ sub > will be the constant sheaf whose value is the fraction field of the global sections of X.

If the packet is strongly localized, more frequencies are needed to allow the constructive superposition in the region of localization and destructive superposition outside the region.

If the ears are located at the side of the head, similar lateral localization cues as for the human auditory system can be used.

If the ears are located at the side of the head, interaural level differences appear for higher frequencies and can be evaluated for localization tasks.

If test proteins are not localized to the nucleus ( because they have other localization signals ) two interacting proteins may be found to be non-interacting.

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.