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number and objects
While a number of interesting celestial objects are readily identified by the naked eye, sometimes with the aid of a star chart, many others are so faint or inconspicuous that technical means are necessary to locate them.
There are many other places and objects worth seeing, for example a notable number of churches and monasteries, a few remarkable 17th-and 18th-century buildings in the particular Baroque style typical of the region, a collection of statues and monuments, park areas, cemeteries, among others.
On a more abstract level, model theoretic arguments hold that a given set of symbols in a theory can be mapped onto any number of sets of real-world objectseach set being a " model " of the theory — providing the interrelationships between the objects are the same.
Engraved objects in great number for example, ring-bezels and gems ; and an immense quantity of clay impressions, taken from these.
The Active Directory framework that holds the objects can be viewed at a number of levels.
Another occurrence of this number is in combinatorics, where it gives the number of ways, disregarding order, that k objects can be chosen from among n objects ; more formally, the number of k-element subsets ( or k-combinations ) of an n-element set.
Enumerative combinatorics is the most classical area of combinatorics, and concentrates on counting the number of certain combinatorial objects.
If there is little rearrangement of radiosity objects in the scene, the same radiosity data may be reused for a number of frames, making radiosity an effective way to improve on the flatness of ray casting, without seriously impacting the overall rendering time-per-frame.
Another difference between the low-inclination ( cold ) and high-inclination ( hot ) classical objects is the observed number of binary objects.
This usually allows to retrieve needed related objects from storage in minimum number of input operations ( each sometimes substantially time consuming ).
This usually allows to retrieve needed related objects from storage in minimum number of input operations ( each sometimes substantially time consuming ).
This similarly occurs in the Southern Hemisphere for objects with declinations less ( i. e. more negative ) than-90 ° − ( where is always a negative number for southern latitudes ).
From Weierstrass he derives the idea that we generate the concept of number by counting a certain collection of objects.
Formal-ontological categories relate objects and include notions such as set, cardinal number, ordinal number, part and whole, relation, and so on.
Counting five objects is undeniably a psychological process, but the number 5 is not.
Unbound free-floating planetary-mass bodies in the Milky Way may number in the trillions, with 100, 000 objects larger than Pluto for every main-sequence star .< ref > Nomads of the Galaxy, Louis E. Strigari, Matteo Barnabe, Philip J. Marshall, Roger D. Blandford ; estimates 700 objects > 10 < sup >- 6 </ sup > Solar masses (≈ a Mars mass ) per main sequence star between 0. 08 and 1 Solar mass, of which there are billions in the Milky Way .</ ref >

number and are
It is one of the ironic quirks of history that the viability and usefulness of nationalism and the territorial state are rapidly dissipating at precisely the time that the nation-state attained its highest number ( approximately 100 ).
The only factors that are personally set by the choreographer are the movements themselves, the number of the dancers, and the approximate total duration of the dance.
Presumably a cocktail party is expected to fulfill the host's desire to get together a number of people who are inadequately acquainted and thereby arrange for bringing the level of acquaintance up to adequacy for future cooperative endeavors.
The completeness of the connections provide that, for N people, there are Af lines of communication between the pairs, which can become a large number ( 1,225 ) for a party of fifty guests.
In Figure 2, the points in the network are designated by a letter accompanied by a number.
are few in number, briefly worded, all different in sound ; ;
I assume that the number of readers of this anthology who regard themselves as morally perfect is small, and that most readers are willing to consider procedures by which they may gain more insight into themselves and better understanding of others.
Their expressed standards concerning sex roles, desirable age for marriage, characteristics of an ideal mate, number of children desired are congruent with the values and stereotypes of the preceding generation -- minus compulsive rebellion.
Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.
People who take us for suckers are like the Westerner who had on exhibit his superior marksmanship in the form of a number of bull's-eye achievements.
There are a number of other considerations besides this one but it is for the Congress, not the Department of Justice, to balance these various considerations and make a judgment about legislation.
Nonetheless, although few in number they are a stubborn crew, as tenacious of life as the Hardshell Baptists, which suggests that there is some kind of vital principle embodied in their faith.
For that is the one an increasingly large number of prominent Americans are now proposing.
and it is still very far from certain how valid the party's claim is that in `` a growing number of kolkhozes '' the peasants are finding it more profitable, to surrender their private plots to the kolkhoz and to let the latter be turned into something increasingly like a state farm.
Hence all teachers, good and bad, who have been teaching for a given number of years are paid the same salary.
They are conscious of this state's new feeling of optimism and assurance and are definitely impressed by the number of new plants and construction projects in Rhode Island.
For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.
These data are not of the precision obtainable by the methods previously mentioned, but the vast number of approximate values available will be useful in many areas.
These expenditures are estimated to be $12.1 billion, an increase of $187 million over 1960, reflecting additional longevity pay of career personnel, more dependents, an increased number of men drawing proficiency pay, and social security tax increases ( effective for the full year in 1961 compared with only 6 months in 1960 ).
Retired pay costs are increased by $94 million in 1961 over 1960, partly because of a substantial increase in the number of retired personnel.
Rather, such assignments are made, as they must be, on the basis of certain overall rules and standards, representing to some extent a statistical approach to the problem, taking into account for each situation some of the variables ( e.g., power and station separations ) and averaging out others in order to achieve the balance which must be struck between protection against destructive interference and the assignment of a number of stations large enough to afford optimum radio service to the Nation.
Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

number and then
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
As the total number of incepting bachelors in 1629 was, according to Masson ( Life, 1:218 ) and n, two hundred fifty-nine, the twenty-four names listed in the ordo senioritatis for that year constitute slightly less than one tenth of the total number of bachelors who then incepted.
During nighttime hours, because of the intense skywave propagation then prevailing, no large number of stations can be permitted to operate on one of these channels, if the wide area service for which these frequencies are assigned is to be rendered satisfactorily by the dominant stations which must be relied upon to render it.
Since then, there has been a notable increase in the number of stations and also the accumulation of additional data and the development of new techniques for using it, leading to a better understanding of propagation phenomena.
then the number of successes is always 0 ).
At the end of work one day, the personnel man took the applicants one at a time, asked them to sit behind the receptionist's desk and he then played the role of a number of people who might come to the receptionist with a number of queries and for a number of purposes.
He played a number of typical situations before observers, other supervisors who kept notes and then explained to him in detail what he did they thought was wrong.
then the search for the maximum at any one stage will require a number of operations of order Af ( where a is some number not unreasonably large ).
Knowing the antipathy that existed in Louisiana against increasing the number of free Negroes, Giffen suggested that Palfrey bring them to Boston at once, and then send them on to Liberia.
I waited until the parking attendant was busy with a customer, then slipped around the back of the car with license number JYM 114, attached the electronic bug to the rear bumper and walked out.
He said that on his tour the preceding year a considerable number of hours would have been available to him on Japanese radio networks, but that he had then lacked the funds to contract for them.
we cover each of these with our blanket of peas and then at last we have octillion peas corresponding in number to the atoms in the body.
Alexandre Livshitz repeated a fantastic technical bit from the closing number, `` Taras Bulba '', but even then there was a substantial number of diehards who seemed determined not to go home at all.
* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
The Agnostida are divided into two suborders — Agnostina and Eodiscina — that are then divided into a number of families.
In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.
Isotopes were then explained as elements with the same number of protons, but different numbers of neutrons within the nucleus.
If its minimal polynomial has degree, then the algebraic number is said to be of degree.
* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )
If a ) testimonies conflict one another, b ) there are a small number of witnesses, c ) the speaker has no integrity, d ) the speaker is overly hesitant or bold, or e ) the speaker is known to have motives for lying, then the epistemologist has reason to be skeptical of the speaker's claims.

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