Now, he proceeded to divide the empire among his three sons and his nephew Bernard of Italy:

Now divide both members by the absolute value of the non-vanishing Jacobian, and replace by the functions in.

Now divide throughout by Δx:

Now we proceed to divide the solid into blocks of squares ; we attempt to describe the system in terms of

Now cannot divide 16 or it would be amongst the numbers 1, 2, 4, 8 or 16.

Now, suppose we divide our triangle into eight subtriangles.

Now divide by.

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 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 any rational root corresponds to a factor of degree 1 in of the polynomial, and its primitive representative is then, assuming that p and q are coprime.

Now using the definition of linear momentum p = mv ( if mass is constant ) and the definition of velocity

Now consider a mixed state prepared by statistically combining two different pure states and, with the associated probabilities p and, respectively.

WABC-TV resumed broadcasting at around 1: 00 a. m. on May 28, 2007 ( initially carrying the network's 10: 00 p. m. West Coast feed of Brothers & Sisters, followed by the full version of World News Now ).

Now we have ( 2x + p )( x + q )

Now the time-derivative of the momentum p equals the Newtonian force, and so here the first Hamilton equation means that the force on the particle equals the rate at which it loses potential energy with respect to changes in its location.

Now suppose p: C → X is a covering map and C ( and therefore also X ) is connected and locally path connected.

Now the Youth for Christ take trips to Pimentel, every year to volunteer providing medical clinics, helping a school and digging wells .</ p >

Now they are " pence " for which the symbol is p. Thus, ignoring inflation, 2. 4d.

The network's daytime schedule consists of the rolling newscast CBC News Now, which airs from 6 a. m. to 5 p. m. on weekdays and 7 a. m. to 5 p. m. on weekends.

Instead of producing a separate morning news or noon-hour program, most CBC Television stations simulcast CBC News Now from 6 to 7 a. m. and 12 to 1 p. m. local time.

# The Now of Pooh ( p. 153 )

* Taz Boga-News Now ( weekdays 11 a. m .- 12 p. m. and 2-4: 30 p. m .)

* Matt Hayes-lead weather anchor ; News Now Midday ( weekdays at noon ), and Evening News ( weeknights at 6 and 11 p. m .), also noon community reporter and 6 p. m. entertainment reporter

* Brian Wood ( CMOS-endorsed weathercaster )-weather and traffic anchor ; weekday mornings News Now AM ( 10 a. m .- 12 p. m .), and weekday afternoons News Now PM ( 2-4: 30 p. m .)

Now the fundamental group of X with base point x is this set modulo homotopy

Now we define a new property G: if x is an object in some possible world, then G ( x ) is true if and only if P ( x ) is true in that same world for all positive properties P. G is called the " God-like " property.

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:

:" Now if Q ( x ) is a partial recursive predicate, there is a decision procedure for Q ( x ) on its range of definition, so the law of the excluded middle or excluded " third " ( saying that, Q ( x ) is either t or f ) applies intuitionistically on the range of definition.

Now let x = r < sub > 0 </ sub >/ 2.

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 one has to check that d is well-defined ( i. e. d ( x ) only depends on x and not on the choice of y ), that it is a homomorphism, and that the resulting long sequence is indeed exact.

Now if a is a quadratic residue, a ≡ x < sup > 2 </ sup >,

Now substitute this expression for x into the bottom equation:

Now multiply both sides by a constant k. Since k is a constant it is not dependent on x:

* Now x holds the best-found position.

Now suppose that we have found the roots of g ( x ), i. e. we have factored it.

Now dammit, I don't want to go into any more explanations.

Now, driving the horse and sulky borrowed from Mynheer Schuyler, he felt as if every bone was topped by burning oil and that every muscle was ready to dissolve into jelly and leave his big body helpless and unable to move.

Now the only way in which all curves of the image family of Af can pass through a fixed point is to have a generator of Af which is not a secant but a tangent of **zg, for then any point on such a generator will be transformed into the point of tangency.

Now Stalin made it clear that he meant to move Poland's western borders deep into Germany, back to the western Neisse-Oder River lines, taking not only East Prussia and all of Silesia but Pomerania and the tip of Brandenburg, back to and including Stettin.

Now, Dogtown is one of those places that creeps into the marrow as worms get into old wood, under the veneer.

Now as you step inside, instead of seeing particles orbiting around like planets, you see waves and ripples very much like the ripples that you get on the surface of a pond when you drop a stone into it.

Now substitute equations ( 2 ) and ( 4 ) into equation ( 1 ) to obtain

* Atlantic Southeast Airlines, based in Atlanta, Georgia, U. S. Now merged into ExpressJet.

Now filial piety is also built into law.

Now it understands the reason why hunters come after it with such eagerness and impetuosity, and it puts down its head and with its teeth cuts off its testicles and throws them in their path, as a prudent man who, falling into the hands of robbers, sacrifices all that he is carrying, to save his life, and forfeits his possessions by way of ransom.

Now the removal of a single hair will not turn a non-bald man into a bald one.

Now held by Princeton University, these provide significant insight into the events of the Revolutionary era.

Ælfric of Eynsham paraphrased Bede into Old English, saying " Now the Earth's roundness and the Sun's orbit constitute the obstacle to the day's being equally long in every land.

Now insane, the lover / patient hammers a chisel into the doctor's brain.

Now, some of those who went out into the universe are coming back, bent on conquest.

The idea that specifically the interdependence between parts would have implications for the origins of living things was raised by writers starting with Pierre Gassendi in the mid 17th century and John Wilkins, who wrote ( citing Galen ), " Now to imagine, that all these things, according to their several kinds, could be brought into this regular frame and order, to which such an infinite number of Intentions are required, without the contrivance of some wise Agent, must needs be irrational in the highest degree.

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.

Besides Zarathushtra's Gathas, Plato gives the earliest surviving account of a " natural theology ", around 360 BC, in his dialogue " Timaeus " he states " Now the whole Heaven, or Cosmos, ... we must first investigate concerning it that primary question which has to be investigated at the outset in every case ,— namely, whether it has existed always, having no beginning of generation, or whether it has come into existence, having begun from some beginning ".

Now ... came complete integration of song, humor and production numbers into a single and inextricable artistic entity.

#: Now that hostilities in Europe were at an end the Western Allies should have a greater input into the Control Commissions of Central and Eastern Europe, the Annex to this agreement included detailed changes to the workings of the Hungarian Control Commission.

Now therefore arise, O God, into thy resting place, thou, and the ark of thy strength: let thy priests, O God, be clothed with salvation, and let thy saints rejoice in goodness.

In one variation of the Days of Future Past timeline seen in the Weapon X: Days of Future Now limited series, one of the Boxbots evolves into a new Master Mold and a new breed of Sentinels.