Then a divides both

For example, let P be an irreducible polynomial with integer coefficients and p be a prime number which does not divides the leading coefficient of P. Let Q be the polynomial over the finite field with p elements, which is obtained by reducing modulo p the coefficients of P. Then, if Q is separable ( which is the case for every p but a finite number ) then the degrees of the irreducible factors of Q are the lengths of the cycles of some permutation of the Galois group of P.

Then as a being Man divides into two distinct groups: those who recognize their cosmic condition, seek divine guidance ( by ' reading ' God's word ), and bow to God's will ( symbolized by ' prostration '); and those who even in the face of these apparent wonders of Man's condition, consider the Human to be an ' independent ' entity, answerable to no transcendent authority, and even more contentiously, take it upon themselves to prevent the first class of man from following God's Word and submitting to Him.

Let E be an elliptic curve over Q of conductor N. Then, E has good reduction at all primes p not dividing N, it has multiplicative reduction at the primes p that exactly divide N ( i. e. such that p divides N, but p < sup > 2 </ sup > does not ; this is written p || N ), and it has additive reduction elsewhere ( i. e. at the primes where p < sup > 2 </ sup > divides N ).

Then divides

Then any odd prime p divides whenever M is a multiple of, where

Then on 21 December 1987, the FDN launched attacks at La Bonanza, La Siuna, and La Rosita in Zelaya province, resulting in heavy fighting.

Then, after taking an oath not to surrender, they died to a man fighting the Persians, foreshadowing and perhaps setting an example for Spartan conduct at the Battle of Thermopylae a few generations later.

Then close fighting proceeded underground for five days, barricade by barricade, in the narrow corridors of the fort.

Then, York forces a captured German officer ( Charles Esmond ) at gunpoint to order the Germans still fighting to surrender.

Then he saw two bulls fighting over a heifer and waited till in the course of the fight both fell to the ground and became helpless, which made it possible for him to grab one of the bulls by the legs and drag it to the altar.

Then James VI began fighting with the Catholics, but eventually gave them rights ( after his secretly Catholic wife probably persuaded him to ), exempting the Catholics from having to pay the tithe to the Anglican Church, but this caused a great decrease in Anglican Church revenue, so he quickly took those rights away.

Then were they all fighting against the king, until they had slain him.

" Then they continued fighting at the gates, till they penetrated it, and slew the etheling and all the men that were with him ; except one, who was the godson of the alderman, and whose life was spared, though he was often wounded.

Then Walcott looked outside the ring ( presumably to the ringside count keeper ) as Ali and Liston went at each other before Walcott instructed them to keep on fighting, then Walcott approached the fighters and abruptly stopped the fight.

Then as the Tauranga Campaign wound down fighting flared up in Taranaki.

Then fighting under her married name of Melissa Salamone, Del Valle won the New York state Golden Gloves title at 132 pounds in both 1996 and 1997.

Then in May 1846 fighting broke out in the Hutt Valley between the settlers and Te Rauparaha's nephew, Te Rangihaeata.

Then for five years from February 1414 he was Lord Lieutenant of Ireland, where he did some fighting.

Then the coffin was lowered into the ground and the Marshal was laid to rest beside his only son, Bernard, who had been killed fighting under his father's command in Indochina some eight months previously.

Then the Communists came to power as the only group with an organised fighting force, promising Hungary would be able defend its territory without conscription.

Then fighting against the elements to develop leaves and flowers.

Then he scatters the crowd of monkeys fighting Baloo and Bagheera and performs his " hunger dance ", hypnotising the Bandar-log so they cannot run away.

Then 1 / 76 scale buses became very popular in Britain in the late ' 80s and early ' 90s, with competing lines from Corgi ( the Original Omnibus Company ) and Gilbow Holdings ( Exclusive First Editions, or EFE ) fighting for the market.

Then exhausted with the fighting, they fell down on the pit in the form of pigs and sank into the pit drawing the satin covering under them into the cauldron at the bottom of the pit whereupon they drank the mead and fell asleep.

Then, in December, he sailed for France to make a tour of the front, and observe, first hand, actual fighting conditions.

Then after a year of a string of defeats, the Ottoman forces were able to halt the British advance in two days of hard fighting at Ctesiphon.

Then Chennappa stormed Kondavidu and died fighting even as he forced the Islamic army to retreat.

Then a portion of the wooden fence surrounding the site was torn down and hand-to-hand fighting began between miners and police.

Then the Motion Picture Distributing and Sales Company began fighting among themselves, and that was disorganized.

Then suddenly a group of men and dogs circled him.

Then, when the case went to the jury, the judge excused one of the jurors, saying the juror had told him he had been accosted by masked men at his motel the night before the trial opened.

Then, in order to prevent Polk from dissipating his forces by implementing his proposal to allow some men to join a partisan group, Johnston ordered him to send Pillow and 5, 000 men to Fort Donelson.

Then, declaring in disgust that he wished to " fight among brave men and not among cowards ", Eugene went into the attack with the Prussian and Danish infantry, as did the Dessauer, waving a regimental colour to inspire his troops.

Then the king came to the Haye in Touraine and his men had passed the river of Loire, some at the bridge of Orléans and some at Meung, at Saumur, at Blois, and at Tours and whereas they might: they were in number a twenty thousand men of arms beside other ; there were a twenty-six dukes and earls ( Counts ) and more than sixscore banners, and the four sons of the king, who were but young, the duke Charles of Normandy, the lord Louis, that was from thenceforth duke of Anjou, and the lord John duke of Berry, and the lord Philip, who was after duke of Burgoyne ".

“ 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 she sent word to Prince Mal that she accepted the proposal, but required their most distinguished men to accompany her on the journey in order for her people to accept the offer of marriage.

Then the Æsir became aware that Rán had that net wherein she was wont to catch all men who go upon the sea.

In the early ballads Robin's men usually kneel before him in strict obedience: in A Gest of Robyn Hode the king even observes that " His men are more at his byddynge / Then my men be at myn.

Then men learnt to use tough iron and copper.

' Then he said: ' Sirs, ye are my men, my companions and friends in this journey: I require you bring me so far forward, that I may strike one stroke with my sword.

22 Then Paul stood in the midst of Mars ' hill, and said, " Ye men of Athens, I perceive that in all things ye are too superstitious.

Then to the crowd of Protestants, he continued " were we to keep these men alive, then we would lose the Letter of Majesty and our religion ... for there can be no justice to be gained from or by them ".

: Then exhausted by men but unsatisfied,

Then the hunt began by the men advancing together toward the buffalo, but no one could kill any buffalo until the warriors of the tribe gave the signal.

In the Book of Acts, Paul and other men performed ablution before entering the Temple in Jerusalem: " Then Paul took the men, and the next day purifying himself with them entered into the temple, to signify the accomplishment of the days of purification, until that an offering should be offered for every one of them.

Then, she tied the 100 m world record, but this was never recognised officially, as she competed against men when setting the record.