Now and then, the President would call for `` Little Jack, Master of the Hounds '', which was his nickname for a messenger who had worked in the White House since Teddy Roosevelt's administration, and discuss the welfare of some one of the animals.

Now the remainder of dividing either a or b by d is also of the form ax + by since it is obtained by subtracting a multiple of from a or b, and on the other hand it has to be strictly smaller in absolute value than d. This leaves 0 as only possibility for such a remainder, so d divides a and b exactly.

Now the punishments inflicted by the civil authority, which is the legitimate avenger of crime, naturally tend to this end, since they give security to life by repressing outrage and violence.

Now, since

Now 19 years old, Eugene applied directly to Louis XIV for command of a company in French service, but the King – who had shown no compassion for Olympia's children since her disgrace – refused him out of hand.

It was the first box-office success for Coppola since Apocalypse Now.

Now, the Queen of Australia is generally bound by constitutional convention to accept the advice of the Australian Prime Minister and state Premiers about Australian and state constitutional matters respectively, however the practice of Premiers advising the monarch has only become the convention since the passage of the Australia Acts ( 1986 ).

Now since the string of quantifiers does not contain variables from x or y, the following equivalence is easily provable with the help of whatever formalism we're using:

Israel then said, “ Now let me die, since I have seen your face, because you are still alive .” ()

During this performance something occurs on stage that does not translate into audio, but causes the audience to break into hysterics upon Cleese's follow-up line " Now that's what I call a dead parrot "; since it occurs after the part of the sketch where Cleese bashes the dead bird on the counter, it's possible a part of the prop broke off.

Now, since, every row vector of is a linear combination of the row vectors of.

Now apply this result to to obtain the reverse inequality: since (, we can write.

Now, the dynamic power dissipation may be re-written as. A clock in a system has an activity factor α = 1, since it rises and falls every cycle.

Now, for any given i not 0 or n + 1, the coefficient of the x < sup > i </ sup > term in the polynomial ( x + 1 )< sup > n + 1 </ sup > is equal to a < sub > i </ sub > ( the figure above and to the left of the figure to be determined, since it is on the same diagonal ) + a < sub > i − 1 </ sub > ( the figure to the immediate right of the first figure ).

Now a member of NATO ( since 1999 ) and of the European Union ( since 2004 ), the Czech Republic has moved toward integration in world markets, a development that poses both opportunities and risks.

Now, S ( 0 ) is clearly true since cos ( 0x ) + i sin ( 0x ) = 1 + i 0 = 1.

Now, since the inception of the National Lottery, it is not only legal but also a small contributor to the British economy, with a recent explosion of interest with regard to the international gaming sector industry.

Now an old man, Harriman has still not been to the Moon, a fact that frustrates him, since he lives in a world where space travel is so commonplace that carnivals have their own barnstorming spacecraft.

His 2001 album Then And Now went platinum internationally and returned Cassidy to the Top 5 of the UK album charts for the first time since 1974.

Now, since the property of being Richardian is itself a numerical property of integers, it belongs in the list of all definitions of properties.

Now Hitler could no longer effectively control the Skull and came to fear him, especially since the Skull had made little secret of his ambition to supplant Hitler someday.

Now because the NJDOT does not want to pay to fix the problem, the exit has been barricaded since the freeways extension was opened.

Now if you move the vernier by a small amount, say, one tenth of its fixed main scale, the only pair of marks which come into alignment will be the first pair since these were the only ones originally misaligned by one tenth.

Now known as Spanish Springs Airport ( N86 ), it has been in continuous operation since 1971.

Now it is easy to convince oneself that the set X could not possibly be measurable for any rotation-invariant countably additive finite measure on S. Hence one couldn't expect to find an algorithm to find a point in each orbit, without using the axiom of choice.

The difficulty is heightened when songs merge, as in " Now "/" Later "/" Soon ", because all three have to be performed in the same key, limiting the ability to pick a comfortable key for each singer.

Now setting all of the X < sub > s </ sub > equal to the unlabeled variable X, so that the product becomes, the term for each k-combination from S becomes X < sup > k </ sup >, so that the coefficient of that power in the result equals the number of such k-combinations.

Now, due to physical properties of interference, if two signals at a point are in phase, they add to give twice the amplitude of each signal, but if they are out of phase, they subtract and give a signal that is the difference of the amplitudes.

Now there are two related linear equations, each with two unknowns, which lets us produce a linear equation with just one variable, by subtracting one from the other ( called the elimination method ):

Now, let us say that the purpose is not legal entitlement, but rather, the following situation: The admiral of the fleet believes that captains and crews who have fought alongside each other are more effective than captains and crews who are strangers to each other.

By the Chinese Remainder Theorem, this ring factors into the direct product of rings of integers mod p. Now each of these factors is a field, so it is clear that the only idempotents will be 0 and 1.

Now Olga gave to each soldier in her army a pigeon or a sparrow, and ordered them to attach by thread to each pigeon and sparrow a piece of sulfur bound with small pieces of cloth.

As a result, various other companies control the international distribution rights to Apocalypse Now ( in some countries, each version has a different distributor ).

Now choose any consumer purchasing both goods, and measure his utility in such units that in equilibrium his marginal utility of money ( the increase in utility due to the last unit of money spent on each good ), MU < sub > 1 </ sub >/ p < sub > 1 </ sub >= MU < sub > 2 </ sub >/ p < sub > 2 </ sub >, is 1.

Now the cohorts were ten permanent units, composed of 6 centuries and in the case of the first cohort 12 centuries each led by a centurion assisted by an optio.

Now, each is obviously a vector in the column space of.

Now each province is administered by a directly elected provincial council:

Some see an internal contradiction between the mention already in Genesis 10: 5 that " From these the maritime peoples spread out into their territories by their clans within their nations, each with his own language " and the subsequent Babel story, which begins " Now the entire earth was of one language and uniform words " ( Genesis 11: 1 ).

Now, if both twins send a video feed of themselves to each other, what do they see in their screens?

Now imagine that you wish to perform some process on each of these digits, for example, adding the number two to each digit.

Now they consist of several redundant multi-gigabyte SCSI drives that each reside on a card.

Now both armies began firing arrows at each other.

Now, form a sequence by performing this operation repeatedly, beginning with any positive integer, and taking the result at each step as the input at the next.

Now each alderman must submit himself for re-election at least once in every six years.

Now for a given disposition of the antennas, the reciprocity theorem requires that the power transfer is equally effective in each direction, i. e.

Now, for each block B < sub > 1 </ sub > of 4x4 pixels in A < sub > 1 </ sub >, find the corresponding block B < sub > 2 </ sub > in A < sub > 2 </ sub > most similar to B < sub > 1 </ sub >, and then find the grayscale or RGB offset and gain from A < sub > 2 </ sub > to B < sub > 2 </ sub >.