Now we define an ordering of the k-tuples of natural numbers as follows: < math > ( x_1 ... x_k ) < ( y_1 ... y_k ) </ math > should hold if either < math >

... Now when I was playing classical music I wouldn ’ t dare get away from what I was reading.

Now, he said, Hitler ’ s prophecy was coming true: " Jewry ," he said, " is now suffering the gradual process of annihilation which it intended for us ...

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 ... the play was the thing, and everything else was subservient to that play.

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

... " I Want You Right Now " sounds exactly ( down to the lyrics ) like a song called " I Want You " by the Troggs, a British group who came on with a similar sex-and-raw-sound image a couple of years ago ( remember " Wild Thing "?

* Kirby, Geoff., " Forum: Now you see it ... Now you don't – A pathological tendency among astronomers ", New Scientist 24 February 1990

: Now as we have come to an agreement on Wilusa over which we went to war ...

Today we burn our proud ship ... to protest against inhuman elements in the world of 1978 ... Now we are forced to stop at the entrance to the Red Sea.

::" Now that's finished ... and so am I.

* From Now On ... ( 1994 )

In Slate, Sam Anderson wrote in the article " And Now for Something Completely Deficient " that though Idle " has earned a spot in Comedy Heaven for his Python days ... his jokey ' exposure ' of his own exploitation ( he has called tours ' Eric Idle Exploits Monty Python ' and ' The Greedy Bastard Tour ') is more irritating than funny.

: Now she doesn't love me anymore ...

In 2004, Henry Gee, editor of the journal Nature, mentioned the Yeti as an example of a legend deserving further study, writing, " The discovery that Homo floresiensis survived until so very recently, in geological terms, makes it more likely that stories of other mythical, human-like creatures such as Yetis are founded on grains of truth ... Now, cryptozoology, the study of such fabulous creatures, can come in from the cold.

Buy Now ...

Buy Now ... sounded more like a metal album.

With its well-rounded production and matured song-writing, Buy Now ... sent the band on a tour of the US, with notable acts such as Slipknot and Mudvayne, the latter touring with them in the UK as supporting act.

* Buy Now ...

Buy Now ...

In contrast to the hip-hop-metal tinge the first album had, Buy Now ...

pt: Buy Now ...

As Lord Blake observed: " The true relationship between the three cannot be determined with certainty ... there can be no doubt that the affair usage damaged Disraeli and that it made its contribution, along with many other episodes, to the understandable aura of distrust which hung around his name for so many years.

In reference to Ezekiel being in his " thirtieth year ... during the fifth year of King Jehoiachin ’ s exile ", it could be determined that he was born c. 622 BCE.

' The subject situates himself as determined by the phantasy ... whether in the dream or in any of the more or less well-developed forms of day-dreaming '; and as a rule ' a subject's fantasies are close variations on a single theme ... the " fundamental fantasy "... minimizing the variations in meaning which might otherwise cause a problem for desire '.

This states that " Everyone has the right on arrest or detention ... ( c ) to have the validity of the detention determined by way of habeas corpus and to be released if the detention is not lawful.

* The thirteenth law is the entire right, or else ... the first possession ( in the case of alternating use ), of a thing that can neither be divided nor enjoyed in common should be determined by lottery.

I do not object to the principle of graduated taxation: for the just principle of ability to pay is not determined simply by the amount of income ... But, so far as I understand the present measure of finance from the partial reports I have received, I find it too violent.

For instance, in Thomas Jefferson ’ s " Commonplace Book ," a quote from Cesare Beccaria reads, " laws that forbid the carrying of arms ... disarm only those who are neither inclined nor determined to commit crimes ...

Surprisingly, within these random states, windows of order reappear ... ' There is order in chaos — an unpredictable order, but a determined order nonetheless, and not merely random behavior ...'"

The history of football in Ferrol is associated to the shipbuilding yards, workshops, foundries and drydocks and the British technical advisors ,< ref >" SPANISH NAVY: Huge Contract in British Hands " ( 1909 ) The Manchester Guardian, 1st February 1909, Page 12: Manchester <<... Vickers, Armstrong and Brown ... it has been determined to put down a new shipyard at Ferrol in Spain ... Mr A J Campbell ... has been appointed manager of the Ferrol yard ... Mr Peter Muir ... has been appointed assistant manager.

It was determined that the criteria for inviting states to the federation should be that they ...

According to his definition, " a process is said to be aleatoric ... if its course is determined in general but depends on chance in detail " ( Meyer-Eppler 1957, 55 ).

Following his appointment to the cabinet Mr. Gallatin determined to withdraw from the glass firm and advertised on May 7, 1803 in a Pittsburgh newspaper, " Sale by Auction ... One undivided half of the New Geneva Glassworks, a ferry across the Monongahela River, sundry lots and dwelling houses in the town of Greensboro ..

The Indians all know we cannot be a Match for them in the midst of an extensive woody Country ... from whence I infer that if we are determined to possess Our Posts, Trade & ca securely, it cannot be done for a Century by any other means than that of purchasing the favour of the numerous Indian inhabitants. With the proclamation, “ the British were trying to convince Native people that there was nothing to fear from the colonists, while at the same time trying to increase political and economic power relative to First Nations and other European powers .” However, the Royal Proclamation along with the subsequent Treaty of Niagara, provide for an argument that “ discredits the claims of the Crown to exercise sovereignty over First Nations ” and affirms Aboriginal “ powers of self-determination in, among other things, allocating lands .” Further so, the Royal Proclamation outlined a policy in which to protect and extinguish Aboriginal rights and in doing so, recognized these rights existed.

If my mental processes are determined wholly by the motions of atoms in my brain, I have no reason to suppose that my beliefs are true ... and hence I have no reason for supposing my brain to be composed of atoms.

:" For ... outstanding service ... as Chief of Staff to Commander First Carrier Task Force, Pacific, during action against enemy Japanese forces in the Pacific War from 15 December 1944 to 15 May 1945 ... Commodore Burke was in large measure responsible for the efficient control under combat conditions of the tactical disposition, the operation, the security and the explosive offensive power of his task force in its bold and determined execution of measures designed to force the capitulation of the Japanese Empire ... throughout the seizure of bases at lwo Jima and Okinawa, including two carrier strikes on Tokyo, a carrier strike on the Kure Naval Base, and engagement with the Japanese Fleet on 7 April, in which several hostile man-o-war were destroyed by our aircraft ..."

However, Clark was determined that VI Corps should strike directly for Rome as evidenced in his later writing: " We not only wanted the honour of capturing Rome, but felt that we deserved it ... Not only did we intend to become the first army to seize Rome from the south, but we intended to see that people at home knew that it was the Fifth Army that did the job, and knew the price that had been paid for it .".

Claude Rains played John in the 1938 colour version alongside Errol Flynn, starting a trend for films to depict John as an " effeminate ... arrogant and cowardly stay-at-home ".

He referred to hypothetical eugenicists ' suggestions for reversing the trend, including some sort of oral contraceptive " in the water supply and ... an antidote " in order to conceive.

The group ’ s next release, Apocalypse ' 91 ... The Enemy Strikes Black, continued this trend, with songs like " Can't Truss It ", which addressed the history of slavery and how the black community can fight back against oppression ; " I Don't Wanna be Called Yo Nigga ", a track addresses on how the urban culture uses the word nigga outside of its usual derogatory context.

Todd Hollenshead, chief executive of id Software at the time of the original article stated: " The trend you're seeing with new games is, to some extent, a reflection of what's going in the culture ... For instance, you've now got games with terrorists and counterterrorists.

It sets a long-standing trend of a criminal not punished for his crime ; this is the first Hollywood film where that happened ... The Edward G. Robinson character is viewed as an ordinary man who is influenced by an evil couple who take advantage of his vulnerability and lead him down an amoral road where he eventually in a passionate moment loses his head and commits murder.

Almost all the really vicious swearwords we can use to hurl abuse at someone are sexual words ... Visual insults follow the same trend '.

As rock ' n ' roll swept the land, Dallas has also become a hotbed for producing progressive, edgy music ... a trend that has continued to this day.

In 1992, the Institute founded a consulting company, Adam Smith International Ltd, which was " charged with overseeing the overseas work of the institute ... an attempt to capitalise on the growing international trend towards economic liberalization and marketization ".

Furthermore, the Walton case is singular in that the victim vanished for days on end with police squads out searching ... it is an atypical ' Close Encounter: Fourth Kind ' ( CE4 ) ... which bucks the trend so much that it worried some investigators ; others defend it staunchly.

" FactCheck. org said, " Emanuel's meaning is being twisted ... he was talking about a philosophical trend, and ... writing about how to make the most ethical choices when forced to choose which patients get organ transplants or vaccines when supplies are limited.

Later shows such as MTV's Cribs and VH1's The Fabulous Life Of ... continued this trend.

For example in February 1872 against Westminster school a brief contemporary match report states that: " The school captain took the precaution of strengthening his backs, deputizing HDS Vidal to cooperate with Rawson and Jackson and so well did these three play in concert ... they succeeded in defying the ... RE forwards " What is most notable about this report is that it confirms that the Royal Engineers " played beautifully together " That the engineers were the first side to break the trend of dribbling is shown in a contemporary account of their victory against Crystal Palace in early 1872.

Partly in consequence, there is ' at present introduced by literature such as Damasio's Descartes ' Error ... a trend to include ( or rather rehabilitate ) the body and its movement into the research of the social and behavioral sciences '.

It ranged from theories of mystical forces to mere descriptions of a general trend in development due to natural limitations of either the germinal material or the environment ... By 1910, however most who subscribed to orthogenesis hypothesized some physical rather than metaphysical determinant of orderly change.

That is not the trend in the high-art world at the moment, the idea that you can express things spiritually and be taken seriously ...

In Freedom House's publications Macedonia received a downward trend arrow due to ... an increase in the harassment of leaders of various religious groups.

This book continues the trend begun with O Terrorista de Berkeley ... in that it is not set in Angola, nor does it deal explicitly with the Angolan reality.

In his more political works, he warns against fascism ... a trend that grows stronger in his later writings.

WIN's slogan was " Freedom of Choice ", and the party said that it was fighting a growing trend in which " the average Kiwi ... is being told more and more what they can and can't do ".

Hammer of The Last Two's groomed artiste line up also eventually became some of the biggest artiste in hiplife today ... e. g. Kwaw Kesse, Ayigbe Edem, Odeshi, Obrafour, Tinny, Sarkodie, Koo Wiase etc., Other Ghanaian rappers like Lord Kenya, Obour, V. I. P, The Native Funk Lords ( Rapping mainly in pidgin English ), Castro Destroyer and MzBel continued the trend of hiplife music which is now one of the most popular forms of music in West Africa.

This trend began to surface on the AC chart in 1993, when two consecutive singles (" The River of Dreams " by Billy Joel and " Said I Loved You ... But I Lied " by Michael Bolton ) logged twelve weeks apiece atop the AC chart, surpassing " Love Is Blue "' s previous mark of eleven weeks at # 1.