We replace r, the number of the stage from the end of the process, by t, a continuous variable which measures the `` distance '' of the point considered from the end of the process.

We can replace the division by a ( possibly faster ) right bit shift: nP ( key ) >> b.

We simply replace by the covariance matrix:

We are allowed to keep the Schrödinger expression for the current, but must replace by probability density by the symmetrically formed expression

We can equally well speak of Diophantine sets of integers and freely replace quantification over natural numbers with quantification over the integers.

Reportedly, when budget estimates reached $ 14 million, the producers attempted to replace Hill with Arthur Hiller ; but abandoned the idea after hundreds of native Polynesians in the cast went on strike, declaring: " We can and will perform only for our friend, Monsieur Hill.

We must replace V by V − b, where b is called the excluded volume.

We can then use the n < sup > th </ sup > backward vector to eliminate the error term and replace it with the desired formula as follows:

Eric Wilson says, " We will never replace the greatness that Sublime did or what Bradley has done.

We can replace the roulette game in the analysis with either the pass line at craps, where the odds of losing are lower, or, or a coin toss game where the odds of losing are 50. 0 %.

Hume, however, stopped short when it came to the positive side of the theory, where God was called upon to replace such connections, complaining that ' We are got into fairy land [...] Our line is too short to fathom such immense abysses.

We can replace the gradient of potential using hydrostatic equilibrium, via

We can assume that a < sub > j </ sub > is homogeneous of degree d − deg i < sub > j </ sub > for every j ( otherwise, we replace a < sub > j </ sub > by its homogeneous component of degree d − deg i < sub > j </ sub >; if we do this for every j, the equation x =

We are allowed to hope that soon the moral sciences will replace superstition with knowledge about ethics.

“ We have in effect undertaken to dispense with the forces which produced unforeseen results and to replace the impersonal and anonymous mechanism of the market by collective and ‘ conscious ’ direction of all social forces to deliberately chosen goals .” Socialism, while presented as a means of assuring equality, does so through “ restraint and servitude ”, while “ democracy seeks equality in liberty ”.

In the build up to the 2006 – 07 season, Ferguson was quoted saying that he planned to replace the departing Van Nistelrooy ( signed by Real Madrid ) by returning Smith to his natural position of centre-forward: " We are going to convert Alan Smith back into being a forward.

We aren't trying to replace the original ; that's impossible anyway.

We may then consider the collection where we replace the two sets and

We shall replace the drawing-room setting with the setting of the theatre itself, our intention being solely to provide a background for all imaginable actions.

Flouride used " an Acoustic 150b amp, and an Acoustic 402 cabinet with stock speakers at last thru ' In God We Trust '", before getting a Traynor Mono Block B amp to replace the Acoustic head.

Previous crusades have included: “ How Much Daylight Are We Really Saving ,” a recommendation for a revised Daylight Saving Time schedule ( 2007 ); “ Why is Good Service So Hard to Schedule ,” recommending that service providers offer more specific timeframes when scheduling home visits ( 2006 ); “ A Kinder, Gentler Nation ,” urging readers to exercise more common courtesy ( 2003 ); “ Saturday: The Trick to Making Halloween a Real Treat ,” advocating that the observance of Halloween be moved to the last Saturday in October ( 1999 ); “ A Cure for Doctors ’ Office Delays ,” demanding more prompt medical service and calling for a “ Patients ’ Bill of Rights ” ( 1996 ); and “ Pennies Make No Sense ,” which sought to eliminate the penny, and to permanently replace the dollar bill with less costly-to-produce dollar coins ( 1989 ).

We want to get the word out to as many people as possible because the agenda of the Christian right is to replace the Constitution with biblical law ," said Kathleen Damiani, president of TheocracyWatch.

" Warner then told the Beach Boys to drop what the company perceived as the weakest track, " We Got Love ," and replace it with the Wilson-Parks tune.

" ( short for Volunteers, the nickname / mascot for the University of Tennessee ) Also, when the cheer was played before kickoff, fans would replace the lyrics " We just " with " We're gonna.

We haven't had anything to eat all day ''.

We began by declaring that all men are created equal.

We now practically read it, all men are created equal except Negroes.

We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.

We collected `` lucky stones '' -- all the creamy translucent pebbles, worn smooth and round, that we could find in the driveway.

We were forbidden to swing on the gates, lest they sag on their hinges in a poor-white-trash way, but we could stand on them, when they were latched, rest our chins on the top, and stare and stare, committing to memory, quite unintentionally, all the details that lay before our eyes.

We of the liberal-led world got all set for peace and rehabilitation.

We are all, though many of us are snobbish enough to wish to deny it, in far closer sympathy with the art of the music-hall and picture-palace than with Chaucer and Cimabue, or even Shakespeare and Titian.

We would all meet at ten o'clock at the Kehl bridge, five miles from Strasbourg, and march triumphantly across into Germany.

In the rhyming catechism this doctrine is worded thus: `` In Adam's fall We sin-ned all ''.

We all love to suffer, but some of us love to suffer more than others.

We saw Giuseppe Berto at a party once in a while, tall, lean, nervous and handsome, and, in our opinion, the best novelist of them all except Pavese, and Pavese is dead.

We must, first of all, be willing to forgive others before we can secure God's forgiveness.

If it is not enough that all of our internationalist One Worlders are advocating that we join this market, I refer you to an article in the New York Times' magazine section ( Nov. 12, 1961 ), by Mr. Eric Johnston, entitled `` We Must Join The Common Market ''.

Referring to Britain, he says, `` We see a nation that traditionally values sovereignty above all else willing to give up its economy, placing this authority in Continental hands ''.

We bring back all dead and wounded ''.

We came down off the wall as if he had toppled all of us, and we crouched behind it.

`` We all know that Jake Camaret and the woman are brazenly living together.

We are here because all our paths travel a blind course through a thick forest, seeking human dignity.

We all seek the same thing through different ways -- an end to this long night of two thousand years of darkness and unspeakable abuses which will continue to plague us until the Star of David flies over Zion ''.

We want to make sure that our junior colleagues realize that ideas are welcome, that initiative goes right down to the bottom and goes all the way to the top.

We do not favor one field over another: we think that all inquiry, all scholarly and artistic creation, is good -- provided only that it contributes to a sense and understanding of the true ends of life, as all first-rate scholarship and artistic creation does.

We must determine whether missiles can win a war all by themselves.