Then a presheaf on X is a contravariant functor from O ( X ) to the category of sets, and a sheaf is a presheaf which satisfies the gluing axiom.

Then one day after Mathilda has learned how to shoot, she fills a bag with guns from Léon's collection and sets out to kill Stansfield.

Then each production department met to determine what each episode needed in terms of costumes, lights, and sets.

Then there are a finite number of open sets, that are left invariant by and are such that:

Then if we intersect each element of B with Y, the resulting collection of sets is a base for the subspace Y.

Then there does not exist a strictly increasing sequence of open sets ( equivalently

" There is no question you get pumped up by the recognition ," he once said, " Then a self-loathing sets in when you realize you're enjoying it.

Then he sets out for battle, mounting his storm-chariot drawn by four horses with poison in their mouths.

Then, SDA sets the transferred bit while SCL is low ( blue ) and the data is sampled ( received ) when SCL rises ( green ).

Then the negligible sets form an ideal.

Then the negligible sets form a sigma-ideal.

Then the negligible sets form a sigma-ideal.

Then if the USD LIBOR rate sets at 3 % on 1 February you receive

Then, it briefly sets forth the underlying idea of a general relativity-like spacetime.

Then, the overall graph is the complement of the disjoint union of the complements of these independent sets.

Then we have the property that A, B and are open path connected sets.

Then, in the summer, creatures such as seals and penguins struggle to raise their young before winter once again sets in.

Then one sets,, so that by definition, is the ratio of dy by dx.

Then Gilbert sets the house on fire, not willing to see a crane remove her and for the inevitable ridicule to ensue.

# Let G be a connected graph and let H be the clutter on consisting of all edge sets of spanning trees of G. Then is the collection of all minimal edge cuts in G.

Then reality sets in as Federline is shown now working in a fast-food restaurant with his manager yelling at him, the punchline of the ad being " Life comes at you fast.

The sets include brief audio commentaries by various crew and cast members for several episodes, a collection of deleted scenes and animatics, a special mini-feature which discussed the process behind animating " And Then There Were Fewer ", a mini-feature entitled " The Comical Adventures of Family Guy-Brian & Stewie: The Lost Phone Call ", and footage of the Family Guy panel at the 2010 San Diego Comic-Con International.

Then in the final, he beat his compatriot and three-time Wimbledon champion Boris Becker in straight sets.

Let A and B be sets of vertices in a ( possibly infinite ) digraph G. Then there exists a family P of disjoint A-B-paths and a separating set which consists of exactly one vertex from each path in P.

Then Jennie closed her eyes, stretched forth her arms, and said: `` Take my hand, Louise ; ;

Then, with the new affluence, there is actually a sallying forth into the wide, wide world beyond the precincts of New York.

The city will be taken, the houses looted, and the women raped … Then the Lord will go forth and fight against those nations … Thus the Lord my God will come, and all the saints with you .” 14: 2-5 In Matthew, Jesus says, " The sign of the Son of Man will appear in heaven, and then all the tribes of the earth will mourn, and they will see the Son of Man coming on the clouds of heaven with power and great glory.

Then with the calibration disk in the drive gently turn the stepper motor back and forth until the program showed a good alignment.

Then the wall which imprisons the nations of Ya ' juj and Ma ' juj ( Gog and Magog in the Bible ) will break and they will surge forth in large numbers.

“ And that Christ being Lord, and God the Son of God, and appearing formerly in power as Man, and Angel, and in the glory of fire as at the bush, so also was manifested at the judgment executed on Sodom, has been demonstrated fully by what has been said .” Then I repeated once more all that I had previously quoted from Exodus, about the vision in the bush, and the naming of Joshua ( Jesus ), and continued: “ And do not suppose, sirs, that I am speaking superfluously when I repeat these words frequently: but it is because I know that some wish to anticipate these remarks, and to say that the power sent from the Father of all which appeared to Moses, or to Abraham, or to Jacob, is called an Angel because He came to men ( for by Him the commands of the Father have been proclaimed to men ); is called Glory, because He appears in a vision sometimes that cannot be borne ; is called a Man, and a human being, because He appears arrayed in such forms as the Father pleases ; and they call Him the Word, because He carries tidings from the Father to men: but maintain that this power is indivisible and inseparable from the Father, just as they say that the light of the sun on earth is indivisible and inseparable from the sun in the heavens ; as when it sinks, the light sinks along with it ; so the Father, when He chooses, say they, causes His power to spring forth, and when He chooses, He makes it return to Himself.

Then 2-polytopes ( polygons ) are defined as plane objects whose bounding facets ( edges ) are 1-polytopes, 3-polytopes ( polyhedra ) are defined as solids whose facets ( faces ) are 2-polytopes, and so forth.

Then rotate the tangent screw back and forth so that the reflected image passes alternately above and below the direct view.

Then, in an event only briefly described ( in The Silmarillion, The Hobbit, and The Lord of the Rings ), the Council " put forth its power " and drove Sauron from Dol Guldur.

: Then it shall be, that whatsoever cometh forth of the doors of my house to meet me, when I return in peace from the children of Ammon, shall surely be the LORD's, and I will offer it up for a burnt offering.

Ungoliant had grown great, and less by the power that had gone out of him ; and she rose against him ... Then Morgoth sent forth a terrible cry, that echoed in the mountains.

Then the fourth stanza might be an " opposite " or sound correspondence to what preceded it in the left-hand column, and so forth.

The vow is stated in Judges 11: 31 as " Then it shall be, that whatsoever cometh forth of the doors of my house to meet me, when I return in peace from the children of Ammon, shall surely be the Lord's, and I will offer it up for a burnt offering.

Then this saying went forth among the brethren, that that disciple would not die ; yet Jesus had not said to him that he would not die ; but, If I will that he tarry till I come, what is that to thee?

: Then they went forth the foe to face,

' Then Prophet Hazrat Muhammad mentioned a traveller on a long journey, who is dishevelled and dusty, and he stretches forth his hands to the sky, saying, ' O my Lord!

Then stood there up one in the council, a Pharisee, named Gamaliel, a doctor of the law, had in reputation among all the people, and commanded to put the apostles forth a little space ;

Then other geeks can read the geek code and work back from that to discover what the writer looks like, what interests they have, and so forth.

Then only two particles can have the same energy, i. e., two particles can have the energy of, or two particles can have energy and so forth.

< poem >( verse 8 ) " Then your light will break forth like the dawn,

10 Then fell she down straightway at his feet, and yielded up the ghost: and the young men came in, and found her dead, and, carrying her forth, buried her by her husband.

"[...] Then Costandin-vodă rendition of his name as well, arriving to his seat in Bucharest, catching news of the Austrians having entered his country and having reached Târgovişte, immediately left his seat [...] went forth towards Pitariului Bridge, setting camp in the river meadow of Plătăreşti, leaving behind the ispravnic [...] with orders that, when the Austrians were to arrive in Bucharest, he was to provide them with all supplies they would need.

* Then did Elijah the prophet break forth ( chorus )