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 possessed, Shelly attacks Scotty and sustains a number of brutal injuries before Scotty dismembers her with an axe.

Now, taking this derived formula, we can use Euler's formula to define the logarithm of a complex number.

Now 867 is no longer the smaller number.

Jaya was one of the first Filipina-American freestyle singers, and reached number 44 in 1990 with " If You Leave Me Now.

Now, the degree of a vertex is the number of edges abutting it.

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.

Lennon never reached the same level of success in the U. S. post-Valotte, but he hit number five in Australia with the 1989 single " Now You're In Heaven ", which also gave him his second # 1 hit on the Album Rock Tracks chart in the USA.

Now, for distinct primes, these divisibility events are mutually independent because the candidate divisors are coprime ( a number is divisible by coprime divisors n and m if and only if it is divisible by nm, an event which occurs with probability 1 /( nm ).

In addition to Chicago blues numbers, the Rolling Stones also covered songs by Chuck Berry and Bobby and Shirley Womack, with the latter's " It's All Over Now ", giving them their first UK number one in 1964.

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

In 1986, a screening of the entire Monkees television series by MTV led to renewed interest in the group, followed by a single (" That Was Then, This Is Now " reached number 20 on the Billboard Hot 100 in the U. S .), a 20th Anniversary Tour, a greatest hits album and a brand new LP, Pool It!

Now, the term is used in a number of ways.

Now consider what happens if a large number of people, all located at random positions at the end of the pool, vibrate sticks at the same frequency, but varying amplitudes and phases.

The album's second single, " Now I'm Here ", a more traditional hard rock composition, was a number eleven hit in Britain, while the high speed rocker " Stone Cold Crazy " featuring May's uptempo riffs is a precursor to speed metal.

Now define by transfinite induction a sequence G < sup > m </ sup >, where m is an ordinal number, in the following manner:

It was especially popular in the UK, "( Hey Now ) Girls Just Want to Have Fun " hit number four ( the single also returned Lauper to the US Hot 100, albeit briefly ).

She is also the youngest person to have a debut album hit number one and have multiple number one singles from that album ( I Think We're Alone Now and Could've Been ).

In lexical order we obtain a sequence of definitions D < sub > 1 </ sub >, D < sub > 2 </ sub >, D < sub > 3 </ sub >, ... Now, it may happen that a definition defines its own number.

Now define a new real number r as follows.

Now, we may map each definition to the set of natural numbers, such that the definition with the smallest number of characters and alphabetical order will correspond to the number 1, the next definition in the series will correspond to 2, and so on.

Now there are 79 permanent buildings already constructed, and this number will be increased by others already planned.

A photographic history of Edgewater describes the population and demographics change and its possible consequence this way: Now a good number of residents live on the river in condominiums and rental apartments and town houses on land that was once the province of heavy industry.

Now I wish to enter the American market, where the competition is very strong.

`` Now that is a very nice, a very nice '', he murmured to himself, back in his corner.

`` Now that Bruno Walter is virtually in retirement and my dear friend Dimitri Mitropoulos is no longer with us, I am probably the only one -- with the possible exception of Leonard Bernstein -- who has this special affinity for and champions the works of Bruckner and Mahler ''.

Now the detective must save his own skin by informing on the girl he loves, who is also the real murderer.

Now what is perfect motion??

Now this concern for the freedom of other peoples is the intellectual and spiritual cement which has allied us with more than forty other nations in a common defense effort.

Now an abiding difficulty of paragraphs like the foregoing is that they appear to preach ; ;

Now the basic question to be asked in this situation is what motivates the manipulators, that is, what are their values??

Now the park is filled with marble busts and all the streets in the immediate area have the full and proper names of the men who fell.

Now, as then, it is a matter of jobs.

Now the Stone Harbor bird sanctuary, 31 acres of magic attraction for exotic herons, is threatened, but the battlefront extends far beyond our state.

Now Richards, of course, is known as a deep thinker as baseball managers go.

Now he is apparently expected to give up his evenings -- and Sundays, too, for this is coming.

Now, of course, that the Russians are the nuclear villains, radiation is a nastier word than it was in the mid, when the US was testing in the atmosphere.

Now good definition is one thing that all of us can acquire with occasional high-set, high-rep, light-weight workouts.

Now here is truly a marvel.

Now, the machine has been improved to a point where it is generally more economical than oil heat at temperatures down to 15 degrees.

Now Welch had a pet theory that everyone is guilty of breaking more laws than he ever gets caught at.

Now, you probably share the widespread Western belief that the Lord Buddha is the most compassionate of the gods, much more so than Jehovah and Allah and the rest.

Now the thing for us to do is to find ourselves a couple of those wonderful flowering currants such as the red Ribes sanguineum of our Pacific Northwest, or otherwise a good sloe tree, or perhaps some nice pussy willow in bloom, preferably one with male or staminate catkins.

Now the range of Af is the null space Af of Af.

Now suppose that we also have Af where D' is diagonalizable, N' is nilpotent, and Af.