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assures and us
The categorical structure of the functor F assures us that F defines a G-action on the set X.
The principle of extensionality in set theory assures us that any matching pair of curly braces enclosing one or more instances of the same individuals denote the same set.
In The Prince, the Discourses, and in the Life of Castruccio Castracani, he describes " prophets ," as he calls them, like Moses, Romulus, Cyrus the Great, and Theseus ( he treats pagan and Christian patriarchs in the same way ) as the greatest of new princes, the glorious and brutal founders of the most novel innovations in politics, and men whom Machiavelli assures us have always used a large amount of armed force and murder against their own people.
Neither are prime numbers of the form because Fermat's theorem on sums of two squares assures us they can be written for integers and, and.
The motion of a charged body in a magnetic field, B involves the velocity through the Lorentz force term v × B, and might seem at first to be asymmetric under T. A closer look assures us that B also changes sign under time reversal.
We cannot help supposing that there is some experiencer within whose inner life the Whole exists, but only the inevitability of the assumption and not any experiential content assures us of the reality of such an experiencer.
One of the books assures us that while you are in the Land of Oz, you cannot die.
The author moreover assures us that the real target of this play is not the polis but rather " wicked little men of a counterfeit kind ".
As for the legitimacy of these methods, Olszewski-Kubilius assures us thatthe available research evidence suggests that these practices are valid ” ( Olszewski-Kubilius et al., 1998 ).
In the Cage: A Guide to Sigil assures us she has been ruler of Sigil for as long as the city has existed, though she might predate the city's creation.
The debate on what to do with them, Vicki assures us, will be fierce ...
In response, in one of the most transcendent moments in the Mass, a trio of soloists assures us that the birth and death were not futile but were in fact for our benefit --" pro nobis, pro nobis, pro nobis ," repeated three times, perhaps to invoke the power of the Trinity.
Father Mariano Dacanay, the town's Ilokano parish priest from September 1, 1902 to May 27, 1922, has written another variant to this legend which, he assures us, has been obtained from reliable sources.

assures and all
His birth, education, and fortune, he says, have all been ridiculed simply because he has spoken with the freedom of an Englishman, and he assures the reader that `` whoever talks with me, is speaking to a Gentleman born ''.
Fears were allayed August 27, 2008, when Clinton enthusiastically endorsed Obama at the 2008 Democratic National Convention, saying that all his experience as president assures him that Obama is " ready to lead ".
Saint Brendan, despite of all the negative reactions among the seniors toward Columba, kisses him reverently and assures that Columba is the man of God and that he sees Holy Angels accompanying Columba on his journey through the plain.
Pozzo has lost all notion of time, and assures them he cannot remember meeting them the day before, and does not expect to remember the current day's events when they are over.
Gulliver is returned to his English home and family, finds their smell and look intolerable and all his countrymen no better than " Yahoos ," purchases and converses with two stabled horses, tolerating the stable boy, and assures the reader of his account's utter veracity.
She states her concerns because of what happened to Anne but Norfolk assures her if she listens to him all will be well, and stresses that she must not show fear or timidity when addressing the King.
Most publishers have suffered a " false launch ", in which the development staff assures the company that game development will be completed by a certain date, and a marketing launch is planned around that date, including advertising commitments, and then after all the advertising is paid for, the development staff announces that the game will " slip ", and will actually be ready several months later than originally intended.
This helps Peter to see that he had a good life for all its hardships, and assures Peter that his uncle is proud of him.
The announcement all but assures that the 1, 066-member Shinnecock Indian Nation will receive formal federal recognition, following a public-comment period of up to six months which must be held before the final order is issued.
The sausage seller is not convinced at first but Demosthenes points out the myriads of people in the theatre and he assures him that his skills with sausages are all that is needed to govern them.
Honour assures Tom of her mistress ' regard, and, after she has left, Lady Bellaston emerges from her place of concealment as, ' streams of fire darted from her eyes, and well indeed they might, for her heart was all in a flame.
Blacky also inquires whether " everything is arranged about the priest's arrival ", to which Marko assures him that it is all taken care of.
* Article 4 assures the Holy See of full freedom to communicate with the German clergy and for the German bishops to communicate with the laity “ in all matters of their pastoral office .” The words of qualification in this clause would later be interpreted by the Nazis in its most narrow meaning to limit the Church communications to worship and ritual only.
Picard assures him that all questions will be answered " in good time ", but that their current situation is very tense and requires Picard's full attention.
However, Lennier assures her that all will be well and insists on accompanying her on her trip.
The owner's policy assures a purchaser that the title to the property is vested in that purchaser and that it is free from all defects, liens and encumbrances except those listed as exceptions in the policy or are excluded from the scope of the policy's coverage.
Much to Sue Ellen's dismay, her mother hires a live-in babysitter, Mrs. Sturak, a seemingly sweet, humble old woman who assures Mrs. Crandell that she can take care of all five children.
* Full annealing: Carbon steel is heated to approximately 40 ° C above Ac < sub > 3 </ sub > or Ac < sub > 1 </ sub > for 1 hour ; this assures all the ferrite transforms into austenite ( although cementite might still exist if the carbon content is greater than the eutectoid ).
A child was reported having scars on his back in 2003, and since then the festival ’ s committee assures “… the hall has been cleared of all minors when the adults take part in the zanjeer ceremony ” ( Malik 3 ).
The next morning Peter is interrupted at his prayers by an old man, who assures him that prayer is a mistake, since all things are governed by nemesis or fate.
While she doesn't tell him where she is, she assures him that she is all right and thanks him.
The RPC assures the NCI of proper participation in the physics-related aspects of its studies and QARC provides radiotherapy quality assurance and diagnostic imaging data management to all of the NCI sponsored cooperative groups.
Locke assures his readers that the state of nature is a state of plenty: one may take from communal store if one leaves a ) enough and b ) as good for others, and since nature is bountiful, one can take all that one can use without taking anything from someone else.

assures and art
He assures her that the goblet is an authentic 18th century artifact, and she purchases it after he teaches her the art of bargaining.

assures and is
This is no assignment for a frivolous girl, she assures him.
Love confirms others in their freedom, shuns propaganda and masks, assures others of its presence, and is ultimately confirmed not by mere declarations from others, but by each person's experience and practice from within.
The fourth encounter is with Micaiah, the prophet who, when asked for advice on a military campaign, first assures Ahab he will be successful and ultimately gives Ahab a glimpse into God's plan for Ahab to die in battle ( 1 Kings 22 ).
Thus, he assures, there is no reason to mourn the death of fellow Christians, and to do so is to show a shameful lack of faith.
Like Mark ( but unlike Matthew ), the intended audience is the Greek-speaking populations of the region ; it assures readers that Christianity is an international religion, not an exclusively Jewish sect.
Thus in 1992, the Catechism of the Catholic Church, while affirming that " the Church does not know of any means other than Baptism that assures entry into eternal beatitude ", but also stating that " God has bound salvation to the sacrament of Baptism, but he himself is not bound by his sacraments ", stated: " As regards children who have died without Baptism, the Church can only entrust them to the mercy of God, as she does in her funeral rites for them.
Though the Pope is the diocesan Bishop of the Diocese of Rome, he delegates most of the day-to-day work of leading the diocese to the Cardinal Vicar, who assures direct episcopal oversight of the diocese's pastoral needs, not in his own name but in that of the Pope.
Kirk is mortally wounded from the encounter ; as he dies, Picard assures him that he helped to make a difference.
It also assures the independence of the judiciary, which in turn is protected by a judicial committee ; b ) a three-tier judicial system including a supreme court, a court of appeals, and courts of first instance ( either divided between district and regional courts, or a single court per region ); and c ) the laws of the civilian government which were in effect prior to the military coup d ' état that saw the Barre regime into power remain in force until the laws are amended.
The boy in Act I, a local lad, assures Vladimir that this is the first time he has seen him.
The solution is simply conscientiousness — cleaning, patience, due care and attention, and repeated measurements ( good repeatability assures the calibrator that his / her technique is working correctly ).
Because the shape of the curve assures that the first derivative is negative and the second is positive.
However, Kirk is mortally wounded ; as he dies, Picard assures him that he helped to " make a difference ".
Josephine enters and reveals to her father that she loves a humble sailor in his crew, but she assures him that she is a dutiful daughter and will never reveal her love to this sailor.
Theodorus assures him that he does, but that he does not want to over-praise the boy, lest anyone suspect he is in love with him.
The playbill had a note reading " The manager, in announcing this play, adapted by N. H. Bannister from the language of Shakespeare alone, assures the public that every expression calculated to offend the ear, has been studiously avoided, and the play is presented for their decision with full confidence that it will merit approbation.

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