Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

Here A and φ represent the electromagnetic field, and the three sigmas are the Pauli matrices.

Here, he writes, “ Executed by an unknown hand, undoubtedly that of an artisan rather than an artist … our eagle looked down upon the comings and going of the courtyard, the tears and smiles of its citizens and the successes and failures of the poliical system which it was designed to represent ”.

Here R ( r, s ) signifies an integer that depends on both r and s. It is understood to represent the smallest integer for which the theorem holds.

Here is called a spherical harmonic function of degree ℓ and order m, is an associated Legendre polynomial, N is a normalization constant, and θ and φ represent colatitude and longitude, respectively.

Carmichael speaks about the Deacons when he writes, “ Here is a group which realized that the ‘ law ’ and law enforcement agencies would not protect people, so they had to do it themselves ... The Deacons and all other blacks who resort to self-defense represent a simple answer to a simple question: what man would not defend his family and home from attack ?” The Deacons, according to Carmichael and many others were the protection that the Civil Rights needed on local levels, as well as, the ones who intervened in places that the state and federal government fell short.

Here some examples of non-trivial 1, 2 and 4 digit automorphic numbers in other radixes ( using A-Z except I and O to represent digits 10 to 34 ):

Here, the letters on the circle are taken to represent the major scale with that note as tonic.

Here two scales represent known values and the third is the scale where the result is read off.

Here, ' grade ' refers to a scale used to represent concisely the predicted growth rate of the tumour and its tendency to spread, and this is determined by the degree to which the cancer cells appear abnormal when examined under a microscope.

Here Brahmagupta uses names of objects to represent the digits of place-value numerals, as was common with numerical data in Sanskrit treatises.

Here, beliefs and desires represent the central variables responsible for the folk theories of intention.

Here, ∆ t < sub > 1 </ sub > and ∆ t < sub > 2 </ sub > represent the propagation delay s of the logic elements.

Here she is reported to represent all grieving mothers.

Hebrew and Greek exclamatory indicators ( e. g., the Hebrew hine and the Greek idou ) traditionally translated “ Behold !” or “ Lo !” are rendered in ways that best fit the immediate context and that best represent contemporary English usage ( e. g., “ Look ,” “ See ,” “ Suddenly ,” “ Here ,” “ Indeed ,” etc .).

Here if the transmission diameter of the variator pulley does not represent an integer number of teeth, improper re-engagement between the teeth of the variator pulley and its chain will occur.

The airport gained a new logo, said by the airport's owners to represent ‘ people ’, ‘ place ’ and ‘ region ’; and a new slogan " Amazing Journeys Start Here ".

Here the cuts in the folded paper represent the implicate order and the unfolded pattern represents the explicate order.

Here however, the interpretation constitutes a risk for the modern observer: a confrontation between two warriors can be as well a Homeric duel as a simple combat ; a failed boat can represent the shipwreck of Odysseus or any hapless sailor.

Here are more examples of card cycles that represent black's influences:

Here is the electron charge, is the speed of light, the mass of the electron and ion respectively, and represent collective self-consistent electromagnetic field created in the point at time moment by all plasma particles.

Here, A is a constant ( representing technology and the like ), K is supposed to represent the stock of capital goods ( assumed to be measurable ), and L is the amount of labor input.

Similar color and amount changes are used in the U. S. Edition of the " Here and Now: World Edition " game, and are also used in the most recent versions of the McDonald's Monopoly promotion.

Other changes included seats with tubular steel frames with rubber band springing ( Pictured Here ), and a restyling of the body by the Italian Flaminio Bertoni.

Here one assumes that the changes are quasistatic, so slow that there is at each instant negligible departure from thermodynamic equilibrium within the system.

Here, dq < sub > k </ sub >/ T represents a very small exchange of heat energy at temperature T. The total molar entropy is the sum of many small changes in molar entropy, where each small change can be considered a reversible process.

Here individuals of all nations are melted into a new race of men, whose labors and posterity will one day cause great changes in the world.

Here is a chronology of name changes:

Here, Walnut Avenue changes its name to Sigourney Street, indicating the area is now Jamaica Plain.

Here it changes the expression of a variety of genes, turning on several anabolic and androgenic functions.

Here administrators can make changes to the system messages specifically for the English Wikipedia.

Here changes in variability are related to, or predicted by, recent past values of the observed series.

Here we have to add that the change of real income can also be computed from the changes in income distribution.

Here, I-87 changes from the Major Deegan Expressway to the Thruway as the mainline proceeds northward through Yonkers and southern Westchester County.

Here is a simple example that is similar to the first example except that it changes direction.

Here the highway changes name again, to become Point Nepean Road – which was the former name of the entire highway in the early years of settlement.

Here, patients were exposed to a range of RF and electromagnetic signals and monitored for changes in behaviour.

Here they deconstruct the traditional rock song format, with its verses and choruses, intros and changes, stripping it down to a single minimalist 4 / 4 beat, which Dinger repeats continuously throughout the entire track.

Here, the track changes from the left-hand side of the trackbed, to the right-hand side.

Here the expression is already normal ordered so nothing changes.

Here, is fixed at 0. 2, is fixed at 5. 7 and changes.

Here, is fixed at 0. 2, is fixed at 5. 7 and changes.

Here, and changes.

Here, the individual is born one sex and changes sex at some point in their life.

Here, the road changes names again, becoming Northern Boulevard.

Here the road name changes to Mike and Tony Road before M-42 curves southeasterly crossing Morrisy Creek on West Walker Road.