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 ).

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.

* 1982: " Right Here and Now " — # 58 U. S.

During this period in London he also collaborated on a number of songs with Bruce Woodley of the Seekers, including " I Wish You Could Be Here ", " Cloudy ", and " Red Rubber Ball ", which would be a U. S. No. 1 hit for the Cyrkle in 1966.

The album opened to sales of 185, 000 and has since been certified platinum in the U. S. The first single " Right Here " has been the biggest success from the album thus far, garnering much mainstream radio play and peaking at number 1 on the mainstream rock chart.

** Mad Cow U. S. A .: Could the Nightmare Happen Here?

With the rise of the New Imperialism in the Western hemisphere at the end of the 19th century, debates arose between imperialist and isolationist factions in the U. S. Here, Pax Americana was used to connote the peace across the United States and, more widely, as a Pan-American peace under the aegis of the Monroe Doctrine.

Here, the stove or both the stove and the sink are placed where an L or U kitchen would have a table, in a freestanding " island ", separated from the other cabinets.

" Sole Survivor " also received heavy air play on rock stations across the U. S., as did " Wildest Dreams " and " Here Comes The Feeling ".

Here, denotes the radical of J and I ( U ) is the ideal of all polynomials which vanish on the set U.

Here, U * is the NAIRU.

Here Rundstedt was extensively questioned by U. S. Army interrogators about his career and actions during the war.

Here it can be seen that it would not be relevant for merger law in the U. S. ( being under 0. 18 ) or in the EU ( because there is not a change over 0. 025 ).

The third single was a double a-side, features new versions of " Here I go impossible again " and " All this time still falling out of love " It maded the U. K. Top 20.

Along with touring, the trio ( Wilbert, Joe and Greg Hill ) recorded a single with platinum hip hop recording artist Rick Ross entitled " Here For U. " Greg Hill has since left Wil Harts Delfonics and is currently touring with his own group called The Delfonics Revue featuring himself, Tommy Moore & Salaam Love ( 26 + year member of William Harts group ) while William " Poogie " Hart's group periodicly performs on the " 70s Soul Jam Tour "

'" Michael Barone of U. S. News & World Report praised How We Got Here, noting that " more than any other book … it shows how we came to be the way we are.

The upbeat, calypso-flavoured " Right by Your Side " showed a different side of Eurythmics altogether and also made the Top 10, and " Here Comes the Rain Again " ( number eight in the UK, number four in the U. S .) was an orchestral / synth ballad ( with orchestrations by Michael Kamen ).

He has also released an album with Vado entitled Cam ' ron & The U. N. Presents: " Heat in Here " Vol.

It yielded another two U. S. number-one hits with " The First Night " and " Angel of Mine ", a cover of Eternal's 1997 single, as well as a remake of Richard Marx ' " Right Here Waiting ".

Here U is internal energy, H is enthalpy and the entropy, S, is taken to be constant ( see # History ).

Here they paused to draw breath, and were joined by the 12th and 13th U. S. Infantry from Coles ' brigade.

*" Here To Go " ( September 1987 ) No. 16 U. S. Dance, UK No. 88

Here are suggestions for the frankfurter trimmings: 1.

Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.

Here Acts 12: 21-23 is largely parallel to Antiquities 19. 8. 2 ; ( 2 ) the cause of the Egyptian pseudo-prophet in Acts 21: 37f and in Josephus ( War 2. 13. 5 ; Antiquities 20. 8. 6 ); ( 3 ) the curious resemblance as to the order in which Theudas and Judas of Galilee are referred to in both ( Acts 5: 36f ; Antiquities 20. 5. 1 ).

Here K denotes the field of real numbers or complex numbers, I is a closed and bounded interval b and p, q are real numbers with 1 < p, q < ∞ so that

Here the expression has the value 1 if m = 0 and 0 otherwise ( Iverson bracket ).

Here k is first-order rate constant having dimension 1 / time, ( t ) is concentration at a time t and < sub > 0 </ sub > is the initial concentration.

Here, i is the complex number whose square is the real number − 1 and is identified with the point with coordinates ( 0, 1 ), so it is not the unit vector in the direction of the x-axis ( this confusion is just an unfortunate historical accident ).

Here the server, 192. 168. 1. 1, specifies the IP address in the YIADDR ( Your IP Address ) field.

Here we denote with the Bernoulli number of the second kind ( only because the historical reason of formation of this article ) which differ from the first kind only for the index 1.

Here Oscan, Greek, and Latin languages were in contact with one another ; according to Aulus Gellius 17. 17. 1, Ennius referred to this heritage by saying he had " three hearts " ( Quintus Ennius tria corda habere sese dicebat, quod loqui Graece et Osce et Latine sciret ).

Here ( Z / 2Z ) is the polynomial ring of Z / 2Z and ( Z / 2Z )/( T < sup > 2 </ sup >+ T + 1 ) are the equivalence classes of these polynomials modulo T < sup > 2 </ sup >+ T + 1.

Here, according to an allegorical parable, " The Choice of Heracles ", invented by the sophist Prodicus ( c. 400 BC ) and reported in Xenophon's Memorabilia 2. 1. 21-34, he was visited by two nymphs — Pleasure and Virtue — who offered him a choice between a pleasant and easy life or a severe but glorious life: he chose the latter.

Here, sgn ( p ) is the signature of each permutation ( i. e. + 1 if p is composed of an even number of transpositions, and − 1 if odd.

# If A is a cartesian product of intervals I < sub > 1 </ sub > × I < sub > 2 </ sub > × ... × I < sub > n </ sub >, then A is Lebesgue measurable and Here, | I | denotes the length of the interval I.

Here the last product means that a first electron, r < sub > 1 </ sub >, is in an atomic hydrogen-orbital centered at the second nucleus, whereas the second electron runs around the first nucleus.

Here, there are four energy levels, energies E < sub > 1 </ sub >, E < sub > 2 </ sub >, E < sub > 3 </ sub >, E < sub > 4 </ sub >, and populations N < sub > 1 </ sub >, N < sub > 2 </ sub >, N < sub > 3 </ sub >, N < sub > 4 </ sub >, respectively.

For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.

Here a rank 1 tensor ( matrix product of a column vector and a row vector ) is the same thing as a rank 1 matrix of the given size.

* Closed string subgroup: Here the pieces of string consist of one closed loop.

* Unclosed loose string subgroup: Here the pieces of string are not closed, and are not attached to the wire.

* Unclosed fixed string subgroup: Here the pieces of string are not closed, but are somewhere on its length attached to the wire.

Here the group B is a Borel subgroup and N is the normalizer of a maximal torus contained in B.

In mathematics, an arithmetic group ( arithmetic subgroup ) in a linear algebraic group G defined over a number field K is a subgroup Γ of G ( K ) that is commensurable with G ( O ), where O is the ring of integers of K. Here two subgroups A and B of a group are commensurable when their intersection has finite index in each of them.

Here Diff < sub > x </ sub >< sup > n </ sup >( M ) is a normal subgroup of Diff < sub > x </ sub >< sup > 1 </ sup >( M ), which means we can look at the quotient group

Here B is the subgroup of upper triangular matrices with determinant 1, so the interpretation of Bruhat decomposition in this case is similar to the case of GL < sub > n </ sub >.

Here, the term Ungulata refers to a subgroup of placental mammals that are descendants of a common ancestor ( i. e. homologous to ), the most primitive condylarth.

Here, the subgroup Γ, a Kleinian group, is defined so that it is isomorphic to the fundamental group of the surface N. Many authors use the terms Kleinian group and Kleinian model interchangeably, letting one stand for the other.

Here the abelian normal subgroup is the group of pure translations, and the abelian quotient group is isomorphic to the group of homotheties.

Here, SU ( 2 ) is the subgroup associated with the highest root of G, and K < sub > 0 </ sub > is its centralizer in G. The Wolf spaces with positive Ricci curvature are compact and simply connected.