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Page "Statistical ensemble (mathematical physics)" ¶ 15
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For and these
For these centers, too, are on the gold circuit.
For the present it is enough to note that in the grotesque figure of Jacoby, at the moment of his collapse, all these elements come together in prophetic parody.
William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.
For years the United States had been trying to get these countries to exclude Castro's representative from secret military talks.
For, granting that there are great present-day problems to be solved, these problems make great demands ; ;
For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.
For some unusual photographic subjects, if your vacation takes you nearby, try these events: the 600-mile auto race in Charlotte, N.C.,, on May 27 ; ;
For me, these will belong more completely to their surroundings if they are conceived in this early stage, though I freely admit that I do not hesitate to add or eliminate figures on the full sheet when it serves my final purpose.
For many of these measurements the chest must be opened, but the blood vessels and the heart itself remain undisturbed.
For prevention of these diseases during periods of stress such as shipping, excessive handling, vaccination, extreme weather conditions: 350 milligrams per head per day for 30 days only.
For long hauls these shipments should be protected with water-proof paper.
( 3 ) For anionics, these micelles appear to be roughly spherical assemblages in which the hydrocarbon tails come together so that the polar groups ( the ionized ends ) face outward towards the aqueous continuous phase.
For the interpretation of these significant investigations, it should be remembered that reciprocal relations exist in the hypothalamus with respect to autonomic and somatic functions which are closely associated with the emotions.
For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.
For the vertex at Af, these values will be denoted by Af.
For each of these lines meets Q in three points, namely two points on **zg and one point on one of the multiple secants.
For Yokuts, I tabulated these 71 items in five columns, according as they were expressed by 1, 2, 3, 4, and more than 4 stems.
For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.
For a statement of costs per kilowatt-hour would ignore the fact that many of these costs are not a function of kilowatt-hour output ( or consumption ) of energy.
For these crimes he was sentenced to be hanged in public on Friday, December 2, 1859.
For all these points he relies exclusively on Berle and Means's study of 1932, The Modern Corporation And Private Property.
For a chemical process the first of these might involve the concentrations of the different chemical species, and the temperature or pressure of the stream.
`` For these and other reasons '', says Dr. Brodie, `` orthodontics can prolong the life of teeth ''.
For many of these unwed mothers, the data on their family life and early childhood experiences revealed several indications and sources of their basic mistrust of their parents in particular and of the world in general.
For almost one-sixth of the national population discrimination in the free selection of residence casts a considerable shadow upon these values assumed as self-evident by most Americans.

For and ensembles
For the ballroom scene at the end of the first act, Mozart calls for no fewer than three onstage ensembles to play separate dance music in synchronization, each in their respective meter, accompanying the dancing of the principal characters.
Beiderbecke plays piano on his recordings " Big Boy " ( October 8, 1924 ), " For No Reason at All in C " ( May 13, 1927 ), " Wringin ' and Twistin '" ( September 17, 1927 )— all with ensembles — and his only solo recorded work, " In a Mist " ( September 8, 1927 ).
For example, one can specify the density operators describing microcanonical, canonical, and grand canonical ensembles of quantum mechanical systems, in a mathematically rigorous fashion.
For students interested in music, the university has several vocal and instrumental ensembles.
For Opera Theatre of Saint Louis, the St. Louis Symphony has been the resident orchestra since 1978, divided into two ensembles, each performing two of the operas in the season.
For major official occasions, the United States Marine Band and other military ensembles generally are the performers, so directives of the U. S. Department of Defense have since 1954 been the main basis for according it official status.
For a number of years in the mid-and late 1960s, the Hop hosted a summer Congregation of the Arts, which featured summer theatre programs, a festival orchestra and resident chamber ensembles that performed works by distinguished contemporary composers invited to residencies, exhibitions of works by artists-in-residents, and special film series.
For the vocal ensembles he states that in the main churches ( Hauptkirchen ) of St. Thomas, St. Nicholas, and the New Church ( Neukirche ), each would use three voices per part, meaning three sopranos, three altos, three tenors, and three basses, with the residual ( 2 per part ) for the Petruskirche ( University Church ).
For the new project, the women were inspired by the art of the Yue Fang, the ensembles who played in the Tang Dynasty courts during the years A. D. 618 to 907.
For instance, Vesuvius and the Etna volcanoes in Italy are part of separate but different kinds of mountainous volcanic ensembles.
For physical outreach, from time to time McGlaughlin and Saint Paul Sunday have traveled to do on-site programs with notable classical musical ensembles at various venues around the U. S. These concerts have generated much excitement from local audiences.
* For bands and other musical ensembles, please use or one of its sub types.
For this reason, it is commonly performed with a conductor, though some ensembles have elected to perform the piece without one.
For string quartet ensembles see string quartets.
For example, in Mozart's time, the overtures and songs from his popular operas were transcribed for small wind ensemble simply because such ensembles were common ways of providing popular entertainment in public places.

For and choice
For outdoor signs and displays, where the problem of weathering resistance is no longer a factor, the choice of plastics is almost unlimited.
For any choice of admissible policy Af in the first stage, the state of the stream leaving this stage is given by Af.
For a single stage we may define Af where the maximization is by choice of Af.
For example, it is evinced by the adolescent ( or adult ) whose beliefs and actions represent primarily his rebellion and reaction against the ideas and behavior patterns of others, rather than his inner conviction and choice.
For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.
: For any set X of nonempty sets, there exists a choice function f defined on X.
: For any set A, the power set of A ( with the empty set removed ) has a choice function.
For finite sets X, the axiom of choice follows from the other axioms of set theory.
For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.
For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.
For instance, in 51, Agrippina ordered the execution of Britannicus ’ tutor Sosibius because he had confronted her and was outraged by Claudius ’ adoption of Nero and his choice of Nero as successor, instead of choosing his own son Britannicus.
For example, the chairman of the U. S. Federal Reserve Bank is appointed by the President of the U. S. ( all nominees for this post are recommended by the owners of the Federal Reserve, as are all the board members ), his choice must be confirmed by the Congress, and he must appear and testify before congress twice a year.
For these reasons, rasterization is usually the approach of choice when interactive rendering is required ; however, the pixel-by-pixel approach can often produce higher-quality images and is more versatile because it does not depend on as many assumptions about the image as rasterization.
For this reason the unit became a popular choice among those looking to pirate games.
For instance, New Zealand's landmark reform in 1989, during which schools were granted substantial autonomy, funding was devolved to schools, and parents were given a free choice of which school their children would attend, led to moderate improvements in most schools.
For Erasmus the essential point is that humans have the freedom of choice.
For a situation where the traffic to be handled is completely new traffic, the only choice is to try to model expected user behavior, estimating active user population, N, expected level of use, U ( number of calls / transactions per user per day ), busy-hour concentration factor, C ( proportion of daily activity that will fall in the busy hour ), and average holding time / service time, h ( expressed in minutes ).
For most types of hashing functions the choice of the function depends strongly on the nature of the input data, and their probability distribution in the intended application.
For example, Dole borrowed Kirkpatrick's tough foreign policy, Bennett's " right conduct " and even Alexander's school choice interest.
For advocates of the theory that justice is part of natural law ( e. g., John Locke ), it involves the system of consequences that naturally derives from any action or choice.
For small examples it is a fairly simple process to provide the test-takers with such a choice.
For instance, a major clause must display some structure that is the formal realization of a choice from the system of " voice ", i. e. it must be either " middle " or " effective ", where " effective " leads to the further choice of " operative " ( otherwise known as ' active ') or " receptive " ( otherwise known as " passive ").
For example, cruising companies often have unused capacity, and when given the choice, prefer to pay their bills by bartering cruise vacations.

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