And the integral formula for the coefficients simplifies to a summation ( see DTFT / Periodic data ):

And suppose that the integral is invariant under a continuous symmetry.

And now the integral and the factor of 1 /( 2πi ) do not depend on z, i. e., as a function of z, that whole expression is a constant c < sub > n </ sub >, so we can write:

And in March, 2012, during the community's annual " New World Passover " celebration in honor of their historic " exodus " from America in 1967, the Israeli Prime Minister Benjamin Netanyahu expressed appreciation towards " the cooperative society that is working towards the inclusion of the Hebrew Israelite community in Israeli society at large ," and declared that their experience in the land is " an integral part of the Israeli experience.

In this third year at the university, Hans, in 1797, was awarded the first important token of recognition, a gold medal for his essay on `` Limits Of Poetry And Prose ''.

And while the meaning of the words is not in this instance altered, the quality of communication in both the second and third examples is definitely impaired.

And the rebellion of these third generation Jews is not the traditional conflict of culture but, rather, a protest against a culture that they view as softly and insidiously enveloping.

And third, the potato chip industry has taken on the flavor of a `` growth '' industry in the public mind of late.

And the third time was the charm.

And if we are to specify in sensory terms that the second doctor is a normal observer, we must refer to a third doctor, and so on ( also see the third man ).

The Shaw Festival, an annual theater festival in Niagara-on-the-Lake, Ontario, Canada began as an eight week run of Don Juan in Hell ( as the long third act dream sequence of Man And Superman is called when staged alone ) and Candida in 1962, and has grown into an annual festival with over 800 performances a year, dedicated to producing the works of Shaw and his contemporaries.

The name of the third river is Tigris ; it flows east of Assyria And the fourth river is the Euphrates.

And the third is authentic leadership which is centered around empathy and a leader's values or character.

And third, the principles of contiguity ( how close in time two events must be for a bond to be formed ) and reinforcement ( any means of increasing the likelihood that an event will be repeated ) are central to explaining the learning process.

The Book of Leviticus ( from Greek Λευιτικός, Leuitikos, meaning " relating to the Levites ";, Vayiqra, " And He called ") is the third book of the Hebrew Bible, and the third of five books of the Torah ( or Pentateuch ).

And if he is illiterate he shall go at the first, third and sixth hours to someone who can teach and has been appointed for him.

* " Then opened he their understanding, that they might understand the scriptures, And said unto them, Thus it is written, and thus it behooved Christ to suffer, and to rise from the dead the third day: And that repentance and remission of sins should be preached in his name among all nations, beginning at Jerusalem.

And third, Tolkien suggests that fairy stories ( can ) provide moral or emotional consolation, through their happy ending, which he terms a " eucatastrophe ".

And likewise during the day the men recite dirges by themselves and the women by themselves, until about a third of the day has passed.

And on third down, Staubach was sacked again, this time for a 10 yard loss, by defensive end Dwight White.

And over the course of the 1920s, the national debt was reduced by one third.

The third act ( December 2005 — October 2026 ) deals with the aftermath of the war, and concludes with the prospect of the few surviving humans becoming the new Martians, a prospect already foreshadowed in "— And the Moon be Still as Bright ", and which allows the book to return to its beginning.

And a friend of mine knew a guy whose brother was a third assistant on a short film.

And in that same year the magazine Empire listed it as the third worst Best Picture winner of all time.

And their third single, " Mary " entered the Top 40.

And ( D ) all action of a physical kind pertinent to the mission is relegated to the line of men on the lower rank.

And she had the kind of crossed eyes that shocked.

And to do this requires first of all the kind of information about people which is provided by the scientists in industrial anthropology and consumer research, who, for example, tell Courtenay that three days is the `` optimum priming period for a closed social circuit to be triggered with a catalytic cue-phrase '' -- which means that an effective propaganda technique is to send an idea into circulation and then three days later reinforce or undermine it.

And awfully kind of Arlene '', she told us later.

And on the summit of Mount Washington, where thirty-five degrees below zero is commonplace and the wind velocity has registered higher than anywhere else in the world, there is a kind of wisdom to be found that other men often seek in the Himalayas `` because it is there ''.

And he knew in that moment, with a cold sinking of despair, a dying of old hopes, that Mae had spread some kind of word there among the neighbors.

And anyway Burton was not the kind of guy who would be likely to get in trouble even when he was drunk.

And everybody has some kind of grudge.

And in the top of the fifth inning, second baseman Bill Wambsganss executed the first ( and only, so far ) unassisted triple play in World Series history, in fact the only Series triple play of any kind.

" And the law, itself, was a kind of bond uniting people.

And at one point, I realized it really doesn't have this kind of crazy humor that people from New York would expect to see.

And this country was not yet civilised, for the blunderbuss was not superseded: it was indeed the only kind of gun that there was, and rare at that.

* In the second verse of the hit song " Rocket Man " ( 1972 ), Elton John sings " Mars ain't the kind of place to raise your kids / In fact it's cold as hell / And there's no one there to raise them / If you did ".

" And in 2007 Schneider emphasized the danger of serious climate changes from a limited nuclear war of the kind analyzed in the 2006 study above, saying " The sun is much stronger in the tropics than it is in mid-latitudes.

And we ask that every man and woman put the iron heel of ruthlessness against a thing of that kind.

And I think that somewhere between the time of " Ooby Dooby " and " Only the Lonely ", it kind of turned into a good voice.

And of top of that, this kind of dogs is considered to be too old for hunting when they are more than two years old.

And nature is not kind, or merciful, or loving.

< sup > 21 </ sup > And God created great whales, and every living creature that moveth, which the waters brought forth abundantly, after their kind, and every winged fowl after his kind: and God saw that it was good.

* Genesis 1: 21 And God created great < U > whales </ U >, and every living creature that moveth, which the waters brought forth abundantly, after their kind, and every winged fowl after his kind: and God saw that it was good.

: And die in its tracks, if it does not turn kind?

And such measures may not even be intended to be a first step towards any kind of reduction or abolition.