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Page "Statistical ensemble (mathematical physics)" ¶ 67
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We and see
We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.
We see at once what Victor Hugo means when he calls Macbeth a northern scion of the house of Atreus.
`` We would see it that way, but it was glorious then.
Referring to Britain, he says, `` We see a nation that traditionally values sovereignty above all else willing to give up its economy, placing this authority in Continental hands ''.
We out here don't see enough of the conference to know he is being abused.
We fail to see how such procedure resulted in any prejudice to petitioner's contention, which was considered by the appeal board and denied by it.
We can see others more clearly than we can see ourselves, and others can see us better than we see ourselves.
The same editorial continued that `` We expected to democratize Japan and Korea and to see a new China pattern itself easily on our institutions.
We can see the general characteristics of the earlier decade if we look at two poems of very different qualities: `` Revulsion '' ( 1866 ) and `` Neutral Tones '' ( 1867 ).
We first see him shaking Mrs. Joe's hand on discovering the sizable amount of the premium paid to her husband for Pip's indenture as an apprentice and later pumping Pip's hands `` for the hundredth time at least '' ( `` May I -- may I -- ''??
We also see how the results may be presented, although if n, the number of state variables, is large any tabulation will become cumbersome.
We could see maggots moving.
He provoked outraged editorials when, after a post-Inaugural inspection of the White House with Mrs. Kennedy, he remarked to reporters, `` We just cased the joint to see what was there ''.
We shall not make a decisive advance in the ecumenical movement until such a church begins to see itself not merely as a haven of comfort and peace but as a base of Christian witness and mission to the world.
Said he: `` We will see whether whites and Negroes are treated the same around here ''.
We have not the leisure, or the patience, or the skill, to comprehend what was working in the mind and heart of a then recent graduate from the Harvard Divinity School who would muster the audacity to contradict his most formidable instructor, the majesterial Andrews Norton, by saying that, while he believed Jesus `` like other religious teachers '', worked miracles, `` I see not how a miracle proves a doctrine ''.
We seem to see things coming into being and passing from it ; but reflection tells us that decease and growth only mean a new aggregation ( synkrisis ) and disruption ( diakrisis ).
We only know of Andrew through references in other writers: see especially William of Rubruck's in Recueil de voyages, iv.
We entered a small, narrow doorway, and went down two steps, but beyond those one could see nothing.
" Jagger also praised the late star as a one of a kind musician, adding, " We will never see his like again.
We say we want to see put on the statute book something which will make our people citizens of the world before they are citizens of this country ".
Attlee responded the next day in the debate on increased air estimates that Hitler's speech contained unfavourable references to the Soviet Union but that " We see here a chance to call a halt in the armaments race ... We do not think that our answer to Herr Hitler should be just rearmament.

We and reflects
Leslie Newbiggin reflects the dominant position within the World Council of Churches when he says, `` We must claim absoluteness and finality for Christ and His finished work, but that very claim forbids us to claim absoluteness and finality for our understanding of it ''.
Sussex's motto, We wunt be druv, is a Sussex dialect expression meaning ' we will not be pushed around ' and reflects the traditionally independent nature of Sussex men and women.
" We created a setting that reflects the moral decay of the people in it ", says Max.
Czukay: " We could achieve an excellent dry and ambient sound ... Bamyasi reflects the group being in a lighter mood.
The seventh of the core values reads: " We are reconcilers — honoring the worth and dignity of people from all races and purposely seeking to create a community that reflects the diversity of the Body of Christ.
: We believe a society that reflects these constitutional principles and progressive values is worth fighting for, and we take seriously our responsibility to cultivate new generations of leaders and activists who will sustain these values for the life of this nation.
We think the name reflects exactly who we are.
Yet on February 4, 2008, the Shaanxi Province Forestry Bureau released an apology, qualifying their earlier statements but without repudiating the pictures ' authenticity, saying " We curtly released the discovery of the South China tiger without substantial proof, which reflects our blundering manner and lax discipline.
We are keen to ensure that the storyline accurately reflects the many problems and issues faced by breast cancer sufferers.
We all know the paradox of survival skills that keep us isolated and Sivak reflects those back to us.

We and definition
::" We have no idea how consciousness emerges from the physical activity of the brain and we do not know whether consciousness can emerge from non-biological systems, such as computers ... At this point the reader will expect to find a careful and precise definition of consciousness.
The ( unique ) representable functor F:is the Cayley representation of G. In fact, this functor is isomorphic to and so sends to the set which is by definition the " set " G and the morphism g of ( i. e. the element g of G ) to the permutation F < sub > g </ sub > of the set G. We deduce from the Yoneda embedding that the group G is isomorphic to the group
We start with the definition of an inverse ( or projective ) system of groups and homomorphisms.
We can solve both problems using a more abstract definition of the exponential map that works for all Lie groups, as follows.
* We need higher world class standards for the 21st century ( though no state has yet found a precise definition of the term " world-class standards ").
We begin with the first definition, which is easier to follow.
NASA footage including Grissom's Mercury, Gemini, and Apollo missions was released in high definition on the Discovery Channel in June 2008 in the television series When We Left Earth: The NASA Missions.
We must not exclude potato-growing or banking from our definition.
To make things completely formal, the Cauchy sequences definition of R allows us to define +∞ as the set of all sequences of rationals which, for any K > 0, from some point on exceed K. We can define −∞ similarly.
) We can be more specific in light of the definition above: Plugging in F = 1 dyne, q < sub > 1 </ sub >= q < sub > 2 </ sub >= 1 statC, and r
We need to give a clear definition to our language ... We know that ebony means black and that phonics refers to speech sounds or the science of sounds.
( We remark that this is not exactly the same as the definition given on the page describing fractional ideals: the definition given there is that a fractional ideal is a nonzero finitely generated R-submodule of K. The two definitions are equivalent if and only if R is Noetherian.
* We are thus led also to a definition of " time " in physics.
We can take this as an operational definition of what people mean by free will.
We have knowledge when we have knowledge, and an accurate definition of knowledge may even contain the word " knowledge.
We will first give the definition for algebraic structures like groups and modules, and then the general definition which can be used in any category.
This definition should not be too narrow, or it will constrict the development of the organization ; a too rigorous concentration on the view that " We are in the business of making meat-scales ," as IBM was during the early 1900s, might have limited its subsequent development into other areas.
Thus, the definition of IBM's " corporate mission " in the 1940s might well have been: " We are in the business of handling accounting information need for the larger US organizations group by means of punched cards.
These Ext groups can also be computed via a projective resolution of ℤ, the advantage being that such a resolution only depends on G and not on M. We recall the definition of Ext more explicitly for this context.
* We are thus led also to a definition of " time " in physics.
We therefore can give a definition of tensor field, namely as a section of some tensor bundle.

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