Here the number of trials is a random variable, not a fixed number.

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, the idea was to map mathematical notation to a natural number ( using a Gödel numbering ).

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 ).

The result, 1977's Here You Come Again, became her first million-seller, topping the country albums chart and reaching No. 20 on the pop albums chart ; the Barry Mann-Cynthia Weil-penned title track topped the country singles chart, and became Parton's first top-ten single on the pop charts ( reaching number three ).

Here n is the number of electrons / mole product, F is the Faraday constant ( coulombs / mole ), and ΔE is cell potential.

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.

The piece has enjoyed a number of major revivals, and several of its songs have become standards, including " Broadway Baby ", " I'm Still Here ", " Too Many Mornings ", " Could I Leave You?

Carlotta amuses everyone with a tale of how her dramatic solo was cut from the Follies because the audience found it humorous, but somehow the number works when she sings it today (" I'm Still Here ").

Here he composed a large number of motets and other sacred music, which, being brought to the notice of Pope Urban VIII, obtained for him an appointment in the choir of the Sistine Chapel at Rome with the contralto role.

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.

Here we have the composite number 90 made up of one atom of the prime number 2, two atoms of the prime number 3 and one atom of the prime number 5.

Here they are combined with a number of peripheral interfaces to reduce the overall complexity and power requirements of a design.

Here n is the number of digits of precision at which the natural logarithm is to be evaluated and M ( n ) is the computational complexity of multiplying two n-digit numbers.

Here Z is atomic number and n is a number which varies between 4 and 5.

Here represents the reflexive and transitive closure of the step relation meaning any number of consecutive steps ( zero, one or more ).

" Here Comes the Judge " peaked at number 19 on the Billboard charts.

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.

Here Dürer discusses the five Platonic solids, as well as seven Archimedean semi-regular solids, as well as several of his own invention.

Here we halted for the night, having come eight leagues in seven and a half hours.

" Here the Egyptians mourned seven days for Jacob ( Genesis 50: 4-11 ).

Here, the mysterious veil hints at sensuality, an example being the dance of the seven veils.

Here he remained three years, profiting not only by the lectures but even more by the library of Cujas, which filled no fewer than seven or eight rooms and included five hundred manuscripts.

Carmichael composed seven songs for Gentlemen Prefer Blondes but only two made the final cut: " Ain't There Anyone Here for Love " and " When Love Goes Wrong ( Nothing Goes Right )", with Jane Russell singing the former.

Here, as the only son among seven sisters, he developed into something of a spoilt child, accustomed to getting his own way.

Here, they fight Chaos, who now has all but one of the seven Chaos Emeralds.

Apart from Ginsberg's seven collections, a number of the early Pocket Poets volumes brought out by Ferlinghetti have attained the status of classics, including True Minds by Marie Ponsot ( 1957 ), Here and Now by Denise Levertov ( 1958 ), Gasoline ( 1958 ) by Gregory Corso, Selected Poems by Robert Duncan ( 1959 ), Lunch Poems ( 1964 ) by Frank O ' Hara, Selected Poems ( 1967 ) by Philip Lamantia, Poems to Fernando ( 1968 ) by Janine Pommy Vega, Golden Sardine ( 1969 ) by Bob Kaufman, and Revolutionary Letters ( 1971 ) by Diane di Prima.

The lead single from Reason was " Here It Comes Again ", which reached number seven in the UK, the album entering the UK album chart a week later at number five, but quickly fell off the chart.

Here are the seven communes making up the urban area of Pointe-à-Pitre, with their population at the 1999 census:

In Arab tradition, Hagar runs back and forth between two elevated points seven times to search for help before sitting down in despair, at which point the angel speaks as recorded in Genesis 21: 17-19: Here, the tradition holds that a spring gushed forth from the spot where Hagar had laid Ishmael, and this spring came to be known as the Well of Zamzam.

The bands had been expected to keep to their current hits, but Them audaciously segued from " Here Comes the Night " into a seven minute version of " Turn on Your Lovelight ".

The walk-through exhibit was divided into seven zones: 50's, Time Shuttle, Euro, Blue Planet, Bridge, Tunnel, Here and Now.

Here, it is seven lanes total with three travel lanes in each direction and two reversible high-occupancy vehicle lanes in the center.

Here he stayed for seven days ( Acts 28: 13, 14 ) and then began with his companions his journey by the Appian Way to Rome.

" Politely asking to borrow the manager's note for a moment, Robinson added six $ 10 bills from his own wallet and mixed them up, then extended the seven bills together, adding, " Here, let's see you pick out the colored one ".

Held along similar lines as I'm a Celebrity ... Get Me Out of Here !, Celebrity Farm required eight of Ireland's C-List celebrities to spend seven days on a farm with one being voted off every evening ( or " turfed out " as RTÉ called it ).

Here he remained seven years, until 1829, during which time he had built up a very successful business.

He has just been involved in publishing a book about Liverpool FC's seven European Cup Finals called ' Here We Go Gathering Cups in May '.

Here are seven sticks: < big > I I I I I I I </ big >

* Christina Applegate in her role as Kelly Bundy on the TV series Married ... With Children wears her hair in a beehive after taking a job as a diner waitress on the season seven episode Kelly Doesn't Live Here Anymore.

Here, on 4 January 1787, her death sentence was commuted " on condition of being transported for term of seven years, to the Eastern coast of New South Wales, or some one or other of the islands adjacent ".

Here he studied at the Accademia di San Luca, and during his seven years in Rome, amongst other activities, made drawings of Roman structures, including temples and Trajan's Column.