Detailed analysis shows that the complexity class is unchanged by allowing error as high as 1 / 2 − n < sup >− c </ sup > on the one hand, or requiring error as small as 2 < sup >− n < sup > c </ sup ></ sup > on the other hand, where c is any positive constant, and n is the length of input.

The accuracy of the pyramid's workmanship is such that the four sides of the base have an average error of only 58 millimetres in length.

For any information rate R < C and coding error ε > 0, for large enough N, there exists a code of length N and rate ≥ R and a decoding algorithm, such that the maximal probability of block error is ≤ ε ; that is, it is always possible to transmit with arbitrarily small block error.

Although conversion from wavelengths to metres introduces an additional error in the overall length due to measurement error in determining the refractive index and the frequency, the measurement of frequency is one of the most accurate measurements available.

There is no error detection capability in MIDI, so the maximum cable length is set at 15 meters ( 50 feet ) in order to limit interference.

giving an error of only about half an hour in 687 years ( 2. 5 seconds a year ), although this is subject to secular variation in the length of the tropical year and the lunation.

The measurement is thus limited by the angular accuracy of the instrument and not the sine error of the length of an alidade, as it is in a mariner's astrolabe or similar older instrument.

Typically an n-bit CRC applied to a data block of arbitrary length will detect any single error burst not longer than n bits and will detect a fraction 1 − 2 < sup >− n </ sup > of all longer error bursts.

The design of the CRC polynomial depends on the maximum total length of the block to be protected ( data + CRC bits ), the desired error protection features, and the type of resources for implementing the CRC, as well as the desired performance.

The expectation value of the PER is denoted packet error probability p < sub > p </ sub >, which for a data packet length of N bits can be expressed as

In 1437, Ulugh Beg determined the length of the sidereal year as 365. 2570370 ...< sup > d </ sup > = 365 < sup > d </ sup > 6 < sup > h </ sup > 10 < sup > m </ sup > 8 < sup > s </ sup > ( an error of + 58 seconds ).

Previous estimates of the length of the month were in error by 114 seconds ( Meton, 432 BC ) and 22 seconds ( Callippus, 330 BC ).

" One of the points made and discussed at length in the brief of counsel for defendants in error was that ' corporations are persons within the meaning of the Fourteenth Amendment to the Constitution of the United States.

Finally, the " circular error " of a pendulum decreases as length of the swing decreases, so better clock escapements could greatly reduce this source of inaccuracy.

It is desirable to find the length of control points which result in the least approximation error.

Also, for any rate greater than the channel capacity, the probability of block error at the receiver goes to one as the block length goes to infinity.

Since noon is neither after noon nor before noon, and midnight can equally be twelve hours before and after noon, neither abbreviation is correct ( although the length of the error is determined by the smallest unit of time — 12: 00: 01 p. m. would be correctly notated ).

* length of firing showed a grave error

There is a typing error on the Manifesto CDs so that the time length for Gone with My Wind is printed ": 43 " when it should read " 1: 43 ".

The other variables include the dancer who is to perform the movement and the length of time he is to take in its performance.

This is less than the length of a jet runway -- well within the circle of destruction.

the athlete of by-gone years who wears a size 46 suit and puffs when he has finished a sentence of any length then, it is time to break it up and move on.

Some critics say that the length of stay in a hospital is too long.

Chuck a length of 1/8'' '' dia. drill rod into a drill press or some similar turning device and while it is rotating file the end square and then file a slight taper 1/8'' '' long.

The cross-sectional area of the cylinders is determined and then the volume of the individual cylinders is computed by multiplying the area by the stroke length, which is the equivalent of the length of the cylinders.

otherwise, you'll have to spend a few minutes to either attach a suitable spring clip somewhere on the press head or fit the key to a length of light chain and fasten to the bottom of the motor mount so that the key is out of the way when not in use.

The whole length of Essex bridge is one thousand and thirty feet and its breadth thirty-four.

Fortunately, although only a few years ago they held the student at arms length, today the business houses welcome the opportunity to aid the student, not only from an increased sense of community responsibility but also from the realization that the student of today is the interior designer of tomorrow -- that the student already is `` in the trade ''.

Although the play does show a certain structural amateurishness ( there are eleven acts varying in length from twenty-five seconds to an hour and a half ), the statement it makes concerning the ceaseless yearning and searching of youth is profound and worthy of our attention.

Mars has been observed twice at about 3-cm wave length, and the intensity of the observed radiation is in reasonable agreement with the thermal radiation which might be predicted on the basis of the known temperature of Mars.

Such an instrument is expected to be especially useful if it could be used to measure the elasticity of heavy pastes such as printing inks, paints, adhesives, molten plastics, and bread dough, for the elasticity is related to those various properties termed `` length '', `` shortness '', `` spinnability '', etc., which are usually judged by subjective methods at present.

A number of semiempirical estimates by various workers lead to the conclusion that the Af bond becomes symmetric when the Af bond length is about 2.4 to 2.5 A, but aside from the possible example of nickel dimethylglyoxime there have been no convincing reports of symmetric Af bonds.

Data on the former are scanty, but there can be little doubt that the latter is sometimes born at a length greater than that of any of the others, thereby lending support to the belief that the anaconda does, indeed, attain the greatest length.

For four of the six ( the anaconda and the amethystine python cannot be included for lack of data ) there is also a correlation between size at maturity and maximum length, the boa constrictor being the smallest and the Indian python the next in size at the former stage.

The following information on snakes varying greatly in size ( but all with less than a 10-foot maximum ) shows, when considered with the foregoing, that there is probably no correlation between the length of a snake and the time required for it to mature.

However, the energy must be imparted over a limited distance ( determined by arm length ) and therefore ( because the projectile is accelerating ) over a limited time, so the limiting factor is not work but rather power, which determined how much energy can be added in the limited time available.

Paired DNA and RNA molecules are comparatively stable at room temperature but the two nucleotide strands will separate above a melting point that is determined by the length of the molecules, the extent of mispairing ( if any ), and the GC content.

The strings ' vibrating length is determined when the strings are pressed down behind the frets.

The petioles and leaves are removed and harvested ; celery is packed by size and quality ( determined by colour, shape, straightness and thickness of petiole, stalk and midrib length and absence of disease, cracks, splits, insect damage and rot ).

The actual position of the piston can be determined by trigonometry, using the stroke length and the connecting rod length ( measured between centers ).

catenary is suspended at given points P < sub > 1 </ sub > and P < sub > 2 </ sub > and with given length s. The equation can be determined in this case as follows:

The strength of the spun yarn against breaking is determined by the amount of twist, the length of the fibers and the thickness of the yarn.

The required distance ρ ( s ) at arc length s is defined in terms of the rate of rotation of the tangent to the curve, which in turn is determined by the path itself.

The geographical mile is a unit of length determined by 1 minute of arc along the Earth's equator.

The distance between DNA bands of a given length is determined by the percent agarose in the gel.

The strength of the spun yarn against breaking is determined by the amount of twist, the length of the fibers and the thickness of the yarn.

However, even though it cannot be determined whether a particular file is incompressible, a simple theorem about incompressible strings shows that over 99 % of files of any given length cannot be compressed by more than one byte ( including the size of the decompressor ).

The distribution of hollow and full months can be determined using continued fractions, and examining successive approximations for the length of the month in terms of fractions of a day.

Although it was later determined that the first prototype metre bar was short by a fifth of a millimetre because of miscalculation of the flattening of the Earth, this length became the standard.

Although the metre is now defined as the path length travelled by light in a given time, the practical laboratory length measurements in metres are determined by counting the number of wavelengths of laser light of one of the standard types that fit into the length, and converting the selected unit of wavelength to metres.

Even the best and relatively recent classical Greek and Latin dictionaries are still concerned with indicating only the length ( weight ) of syllables ; that is why most still do not indicate the length of vowels in syllables that are otherwise metrically determined.

* Null-terminated string, a character string of which the length is determined by the first null-character ( in programming language C and related languages )

If the resolving time of the detectors is less than 500 picoseconds rather than about 10 nanoseconds, it is possible to localize the event to a segment of a chord, whose length is determined by the detector timing resolution.