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Page "Axiom of choice" ¶ 27
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gives and us
The PM might show he drowned instead, but that's what the once-over-lightly gives us.
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
He gives us an account of this in his lively and humorous poem, `` The Happy Artists ''.
Shakespeare gives us a vivid picture of Shylock, but probably he never saw a Jew, unless in some of his travels.
But the problem is one which gives us the measure of a man, rather than a group of men, whether a group of doctors, a group of party members assembled at a dinner to give their opinion, or the masses of the voters.
By contrast, the energetic reaction of the leader to the full demands his decision imposes upon him strengthens the moral intuition and gives us the measure of the man.
The novelist who has been badly baptized in psychoanalysis often gives us the impression that since all men must have an Oedipus complex all men must have the same faces.
He assures us, early in the Poetics, that all art is `` imitation '' and that all imitation gives pleasure, but he distinguishes between art in general and poetic art on the basis of the means, manner, and the objects of the imitation.
Milton himself, uncommunicative as he is about his lesser and nonliterary activities, at least gives us some evidence that he was a great walker, under any and all conditions.
Prevot had said that the searchlights would be bounced off the clouds at 2230 hours, `` which gives us time to get settled in position ''.
The agreement gives us rights for manufacturing and marketing of such materials in the United States.
And then the application of the count rules to the width ( horizontally ) of the configuration gives us an intial estimate of the probable depth of the decline.
By leaving our doors open the United States gives other peoples the opportunity to see us and to compare, he said.
And so the psalmist gives us one more picture of God: `` The Lord is the strength of my life ''.
This gives us a minimum date for the age of Afroasiatic.
This choice gives us two alternative forms of geometry in which the interior angles of a triangle add up to exactly 180 degrees or less, respectively, and are known as Euclidean and hyperbolic geometries.
Dropping the tildes and defining gives us the commonly used expression for the balance of mass in an acoustic medium:
Substitution of these expressions into the governing equations in cylindrical coordinates gives us the fixed frequency form of the conservation of momentum
There is one final criterion that Hume thinks gives us warrant to doubt any given testimony, and that is f ) if the propositions being communicated are miraculous.
This section gives us his idea of revelation as an event, as opposed to a process.
By figuratively rolling her eyes at the hype, Peters gives us a rich, warm and comedically human Desiree, which reaches full impact when she pierces the facade with a nakedly honest, tears-on-cheek ' Send in the Clowns.
It had been pointed out previously by J. J. Thomson in his series of lectures at Yale University in May 1903 that the dynamic equilibrium between the velocity generated by a concentration gradient given by Fick's law and the velocity due to the variation of the partial pressure caused when ions are set in motion " gives us a method of determining Avogadro's Constant which is independent of any hypothesis as to the shape or size of molecules, or of the way in which they act upon each other ".
Froissart again gives us a vivid description of the capture of King Jean II and his youngest son in this passage: " ...
The scene of the book burning gives us an excellent list of Cervantes's likes and dislikes about literature.

gives and definite
The field of answer set programming gives an example where the definite clause form is extended by choices.
The definite velocity ratio which results from having teeth gives gears an advantage over other drives ( such as traction drives and V-belts ) in precision machines such as watches that depend upon an exact velocity ratio.
The pellicle is a stiff but elastic membrane that gives the Paramecium its definite shape.
Granted the general view of Saunders Mac Lane about ubiquity of concepts, this gives them a definite status.
Charmy is the smallest character in the game but his ability to fly gives him a definite edge over the other characters.
Cecilia, the governess, gives some insight into both Caroline and Angela, but claims to have definite reason for believing Caroline guilty.
* A positive definite matrix S gives rise to a finite-dimensional simple Lie algebra.
The absolute use ( the definite article is thus obligatory ) of al-Malik, as # 4 of the 99 known names of Allah, " The King ", taken to imply ' The Sovereign Lord, The One with the complete Dominion, the One Whose Dominion is clear from imperfection ' singles the only God out as supreme ruler over all earthly powers ; another of these attributes, # 84, is Malik Al-Mulk " King of the Realm ", taken to mean ' The Eternal Owner of Sovereignty, The One who controls the Dominion and gives dominion to whoever He willed '.
* If the intersection form is definite Donaldson's theorem gives a complete answer: there is a smooth structure if and only if the form is diagonalizable.
In his Metaphysics ( Book IV ), Aristotle gives the following explication of that linguistic principle which later came to be known as the Law of Identity: “ First then this at least is obviously true, that the word ' be ' or ' not be ' has a definite meaning, so that not everything will be “ so and not so ”.
In mathematics, a semi-Hilbert space is a generalization of a Hilbert space in functional analysis, in which, roughly speaking, the inner product is required only to be positive semi-definite rather than positive definite, so that it gives rise to a seminorm rather than a vector space norm.
Unlike Euclidean space — where the dot product is positive definitethe metric gives each tangent space the structure of Minkowski space.

gives and choice
This gives you a wide and varied choice.
The Compact Disc Story, told by a former member of the taskforce, gives background information on the many technical decisions made, including the choice of the sampling frequency, playing time, and disc diameter.
It is an approach to learning that gives students flexibility and choice over what, when, at what pace, where, and how they learn.
The extension ψ is in general not uniquely specified by φ, and the proof gives no explicit method as to how to find ψ: in the case of an infinite dimensional space V, it depends on Zorn's lemma, one formulation of the axiom of choice.
This gives scope for competition between different encoder designs, which means better designs can evolve and users have greater choice, because encoders of different levels of cost and complexity can exist, yet a compliant decoder operates with all of them.
Outing gives rise to issues of privacy, choice, hypocrisy, and harm in addition to sparking debate on what constitutes common good in efforts to combat homophobia and heterosexism.
For example, the direct sum of the R < sub > i </ sub > form an ideal not contained in any such A, but the axiom of choice gives that it is contained in some maximal ideal which is a fortiori prime.
Within a given approach, statistical theory gives ways of comparing statistical procedures ; it can find a best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures.
( If it is the first move of the game, playing on a corner gives " O " more opportunities to make a mistake and may therefore be the better choice ; however, it makes no difference between perfect players.
Player X can win or force a draw from any of these starting marks ; however, playing the corner gives the opponent the smallest choice of squares which must be played to avoid losing.
This choice gives his writings a non-conformistic, frequently vulgar, but overall extremely vivid and creative tone, which has been hailed, among others, by Yıldız Ecevit.
The President has a free choice in selecting the Prime Minister, yet in practice he usually gives the task of forming a new government to a politician supported by the political party with the majority of seats in the Sejm ( usually, though not always, it is the leader of that political party ).
Warne recognizes her and gives her a choice: if she will give him an exclusive on her story, he will help her reunite with Westley.
The Chicago Manual of Style, in its section " Words derived from proper names ", gives some examples of both lowercase and capitalized stylings, including a few terms styled both ways, and says, " Authors and editors must decide for themselves, but whatever choice is made should be followed consistently throughout a work.
Though he fails – it ultimately destroys his positronic brain as he is not certain whether his choice will turn out to be for the ultimate good of humanity or not – he gives his successor R. Daneel Olivaw his telepathic abilities.
The imaging technique of choice for cystic echinococcosis is ultrasonography since it is not only able to visualize the cysts in the body ’ s organs but it is also inexpensive, non-invasive and gives instant results.
When their money runs out though, Laurie gives her husband a stark choice: join her in crime or she will leave him.
The last column can be fixed to any unit vector, and each choice gives a different copy of O ( n ) in O ( n + 1 ); in this way O ( n + 1 ) is a bundle over the unit sphere S < sup > n </ sup > with fiber O ( n ).
Players often have the choice of shooting from the hip (" hippie ") which is less accurate but gives a wider view of the area, or using the scope / iron sights for better zoom-in accuracy but at the penalty of restricted view.
( Early on, it is revealed that Nick's father, Dr. Bertram Charles, has never been overly impressed with his son's unusual career choice, so this gives Nick an opportunity to change his father's mind.
Pilate, the Roman governor, examines Jesus, decides he is innocent ; the Jewish leaders and the crowd demand Jesus ’ death ; Pilate gives them the choice of saving Barabbas, a criminal, or saving Jesus.
Making this choice correctly gives the captain making the call the choice of innings.

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