Those who have never traveled the width and length of this land cannot conceive, on the basis of textbook description alone, the overwhelming space and variety of this country held together under one government.

More formally, the complexity of a string is the length of the shortest possible description of the string in some fixed universal description language ( the sensitivity of complexity relative to the choice of description language is discussed below ).

If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

Thus, if P is a program in L < sub > 2 </ sub > which is a minimal description of s, then InterpretLanguage ( P ) returns the string s. The length of this description of s is the sum of

This is closely related to the principles of algorithmic information theory and minimum description length.

In this description, the difference in phase between waves that took different paths is only dependent on the effective path length.

An alternate description of this distortion is to consider the length c along the unique trigonal axis ( after the distortion has begun ) and a as the distance in the plane perpendicular to c. In the cubic phase this reduces to

The Type IIA string theory and the Type IIB string theory were known to be connected by T-duality ; this essentially meant that the IIA string theory description of a circle of radius R is exactly the same as the IIB description of a circle of radius 1 / R, where distances are measured in units of the Planck length.

Mathematical description of the surface area is considerably more involved than the definition of arc length or polyhedra ( objects with flat polygonal faces ) the surface area is the sum of the areas of its faces.

model selection, test set, minimum description length, Bayesian inference, etc.

The earliest description is from Ctesias who described them as wild asses, fleet of foot, having a horn a cubit and a half in length and colored white, red and black.

These are tiny, and usually found disarticulated: articulated specimens reach about a centimeter in length, and are incredibly rare – hence the limited degree of study since their description in 1857.

Korea could have tried clay movable type, but with little success, probably due to misinterpration of Shen Kua's description " as thin as coin ", which referred to the depth of the mould, not the total length of the moveable type.

The first description of an ALT cell line demonstrated that their telomeres are highly heterogeneous in length and predicted a mechanism involving recombination ( Murnane et al., 1994 ).

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.

Troops could carry full length muskets comfortably enough on horseback if just riding from A to B ( the practice of the original dragoons and later mounted infantry ).

Crossbow arrows are of similar construction as ordinary bow arrows, just shorter in length because of reduced power stroke.

The relation he there gives of the miracle is as follows: " On the nones ( or 7th ) of May, about the third hour, ( or nine in the morning ,) a vast luminous body, in the form of a cross, appeared in the heavens, just over the holy Golgotha, reaching as far as the holy mount of Olivet, ( that is, almost two English miles in length ,) seen not by one or two persons, but clearly and evidently by the whole city.

The discovery of the kokhim tombs just beyond the west end of the Church, and more recent archaeological investigation of the rotunda floor, suggest that a narrow spur of at least ten yards length would have had to jut out from the rock face if the contents of the Aedicule were once inside it.

For the special case, this implies that the length of a vector is preserved as well — this is just Parseval's theorem:

This is done for most of the length of this film by moving jointed cut-outs of the figures frame by frame between the exposures, just as Porter moved his letters.

As for Griffith, in Birth of a Nation there are just eight cuts to reverse-angle shots in the scene in Ford's Theatre, while elsewhere throughout the two-and-a-half hour length of this film there are only four more true reverse-angle cuts.

Skuldelev 2 could carry a crew of some 70 – 80 and measures just fewer than in length.

Just downriver from this, the mountains close in on either side of the Marañón, forming narrow gorges or pongos for a length of, where, besides numerous whirlpools, there are no less than 35 rapids, the series concluding with three cataracts just before reaching the river Imasa or Chunchunga, near the mouth of which Charles Marie de La Condamine embarked in the 18th century to descend the Amazon.

However, their articulation and behavior is distinct enough to be considered a separate manner, rather than just length.

Pearl chokers, measuring 14 to 16 inches or 35 to 41 cm in length, nestle just at the base of the neck.

A strand called a princess length, measuring 17 to 19 inches or 43 to 48 cm in length, comes down to or just below the collarbone.

A matinee length, measuring 20 to 24 inches or 50 to 60 cm in length, falls just above the breasts.

The attackers would then build a length of trenches parallel to the defences and just out of range of the defending artillery.

Often it just consists of a number indicating the length because many shoemakers only provide a standard width for economic reasons.

* Edge: A strip of metal, tuned normally to just less than 90-degrees, that runs the length of either side of the board.

The length of time depends on the degree to which the rice was polished, ranging from several hours or even overnight for an ordinary milling to just minutes for highly polished rice.

They range in size from Rudarius excelsus, measuring just in length, to the ocean sunfish, the largest of all bony fish at up to in length and weighing over 2 tonnes.

Similarly, no particular size or length is associated with other subdivisions ; a section might run several pages in print, or just a sentence or two.

Using an equivalent form of the paradox which reduces the length of the week to just two days, he proved that although self-reference is not illegitimate in all circumstances, it is in this case because the statement is self-contradictory.