If he found data that fitted his general plan, he used it and counted his sources trustworthy.

If 16 scanlines of continuous graphical data are written to a character-block-aligned portion of the screen then they will appear as a continuous block in most modes but in the two non-continuous modes they will be displayed as two blocks of 8 scanlines, separated in the middle by two blank scanlines.

If the next data item is not available when it is needed, the codec has no choice but to produce silence or guess — and if the data is late, it is useless, because the time period when it should have been converted to a signal has already passed.

If the tree contains data, we can simply simultaneously store it in a consecutive array in preorder.

If products designed for the new standard can receive, read, view or play older standards or formats, then the product is said to be backward-compatible ; examples of such a standard include data formats and communication protocols.

If dynamic re-routing is established, even if one or more nodes depart and abandon a downloading file, for example, the remaining nodes should still have the data needed to complete the download.

If there is little rearrangement of radiosity objects in the scene, the same radiosity data may be reused for a number of frames, making radiosity an effective way to improve on the flatness of ray casting, without seriously impacting the overall rendering time-per-frame.

If preserving the original quality of the stream is more important than eliminating the correspondingly larger data sizes, lossless codecs are preferred.

If the disk was not otherwise prepared with a custom format, ( e. g. for data disks ), 664 blocks would be free after formatting, giving 664 × 254 = 168, 656 bytes ( or almost 165 kB ) for user data.

If the location specified is incorrect, this will cause the computer to write the data to some other part of the program.

If requested data is contained in the cache ( cache hit ), this request can be served by simply reading the cache, which is comparatively faster.

If sender0 has code ( 1, – 1 ) and data ( 1, 0, 1, 1 ), and sender1 has code ( 1, 1 ) and data ( 0, 0, 1, 1 ), and both senders transmit simultaneously, then this table describes the coding steps:

If the checksums match, the data was almost certainly not altered.

If integration via the bus is achieved, the data warehouse, through its two data marts, will not only be able to deliver the specific information that the individual data marts are designed to do, in this example either " Sales " or " Production " information, but can deliver integrated Sales-Production information, which, often, is of critical business value.

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

If a database cannot tolerate even such smaller probability of data loss, then the RAID group itself is replicated ( mirrored ).

If a database cannot tolerate even such smaller probability of data loss, then the RAID group itself is replicated ( mirrored ).

The report to the European Parliament of 2001 states: " If UKUSA states operate listening stations in the relevant regions of the earth, in principle they can intercept all telephone, fax and data traffic transmitted via such satellites.

If empirical data reach significance under the appropriate statistical formula, the research hypothesis is supported.

If we are to specify this doctor's normality in sensory terms, we must make reference to a second doctor who, when inspecting the sense organs of the first doctor, would himself have to have the sense data a normal observer has when inspecting the sense organs of a subject who is a normal observer.

If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.

If this seems arbitrary, its effect was to treat citizens of the District of Columbia equally with citizens of the states -- at the expense of expanding a troublesome jurisdiction.

If S is an arbitrary set, then the set S < sup > N </ sup > of all sequences in S becomes a complete metric space if we define the distance between the sequences ( x < sub > n </ sub >) and ( y < sub > n </ sub >) to be, where N is the smallest index for which x < sub > N </ sub > is distinct from y < sub > N </ sub >, or 0 if there is no such index.

If the source is located at an arbitrary source point, denoted by the vector and the field point is located at the point, then we may represent the scalar Green's function ( for arbitrary source location ) as:

If the subject could so judge his own superior, then all lawful superior authority could lawfully be overthrown by the arbitrary judgement of an inferior, and thus all law was under constant threat.

If r represents an arbitrary element of R, f can be viewed as a right R-homomorphism so that, or f can also be viewed as a left R module homomorphism, where.

If the former, then justice is arbitrary ; if the latter, then morality exists on a higher order than God, who becomes little more than a passer-on of moral knowledge.

One can use that instruction, which is usually faster than a comparison against some arbitrary value ( requiring a subtraction ), to implement the command " If i ≤ 0, then exit the loop ".

If the inclination is zero or 180 degrees ( π radians ), the azimuth is arbitrary.

If the radius is zero, both azimuth and inclination are arbitrary.

" If we placed a living organism in a box ... one could arrange that the organism, after any arbitrary lengthy flight, could be returned to its original spot in a scarcely altered condition, while corresponding organisms which had remained in their original positions had already long since given way to new generations.

If the strategy ever called for moving on the square already chosen, the first player can then make another arbitrary move.

If a feature was intended to be located from the center of the part, the operator needs to locate it from the center of the model, not, perhaps, from a more convenient edge or an arbitrary point, as he could when using " dumb " solids.

If we consider an arbitrary constant, then average availability is represented as

If arbitrary values and / or functions are used in place of one or more of the numerators or the integers in the denominators, the resulting expression is a generalized continued fraction.

If one allows arbitrary temperature dependence of the prefactor, the Arrhenius description becomes overcomplete, and the inverse problem ( i. e., determining the prefactor and activation energy from experimental data ) becomes singular.

If ( for some arbitrary reason ) the cone's proportions have to stay the same, and the height and radius are in a fixed ratio k,

If the arbitrary area for excavation is wisely chosen, the sequence should be revealed and excavation can return to a truly stratigraphic method.

The reasoning behind existential elimination (∃ E ) is as follows: If it is given that there exists an element for which the proposition function is true, and if a conclusion can be reached by giving that element an arbitrary name, that conclusion is necessarily true, as long as it does not contain the name.

must be true for all values of c over the same domain X ; else, the logic does not follow: If c is not arbitrary, and is instead a specific element of the domain of discourse, then stating P ( c ) might unjustifiably give more information about that object.

If a function is defined on an interval and is an antiderivative of, then the set of all antiderivatives of is given by the functions, where C is an arbitrary constant.

If n is arbitrary, i. e., if the system is insensitive to any rotation, then every component of L is conserved ; in short, angular momentum is conserved.

* If four arbitrary points A, B, C, D are given that do not form an orthocentric system, then the nine-point circles of ABC, BCD, CDA and DAB concur at a point.