She was sure she would reach the pool by climbing, and she clung to that belief despite the increasing number of obstacles.

Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

Copernicus, by placing the sun at the center of the planetary universe, was able to reduce the number of epicycles from eighty-three to seventeen.

He was in and out of Mount Alto Hospital for veterans any number of times.

Though Catherine was vexed at the number of French officers streaming to the Turkish standard, there were several under her own, such as the Prince De Nassau ; ;

Fulton was a very close friend of Jackson, and had been his private secretary for a number of years in the old days.

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.

The editorial was based on a news association dispatch which said that the telegraphers had secured an agreement whereby they were guaranteed 40 hours' pay per week whether they worked or not and that a reduction in their number was limited to 2 per cent per year.

The ledger was full of most precise information: date of laying, length of incubation period, number of chick reaching the first week, second week, fifth week, weight of hen, size of rooster's wattles and so on, all scrawled out in a hand that looked more Chinese than English, the most jagged and sprawling Alex had ever seen.

The resulting setup, it was declared, `` would be similar to that which is in successful operation in a number of metropolitan counties as large or larger than Rhode Island ''.

Thus, in the last few years, a number of programs which looked very promising at the time their development was commenced have since been completely eliminated.

Net income was $2,557,111, or $3.11 per share on 821,220 common shares currently outstanding, as compared to $2,323,867 or $2.82 per share in 1959, adjusted to the same number of shares.

As America on wheels was responsible for an industry of motor courts, motels, and drive-in establishments where you can dine, see a movie, shop, or make a bank deposit, the ever-increasing number of boating enthusiasts have sparked industries designed especially to accommodate them.

Rather the monthly total consumption was divided and charged on the basis of number of rooms and persons in the family.

The railroads have responded by adding 20,000 more box cars with doors 12' or wider for forklift unloading ( a 21% increase while the total number of box cars was falling 6% ) and by cutting their freight rates twice on lumber shipped in heavily loaded cars.

An unusual increase in the number of bronchial arteries present within the substance of the lung was noted.

It seems clear, from the counter-balanced shape of the series of arrows in Figure 5 that there was about an equal number of early and late Onsets and Completions for the 34 girls.

There was a significantly greater number in this group who reported a desk as being in a tilted position while a tennis ball resting on it remained stationary on the incline.

The reason for the value of this procedure was simply that the applicants were tested `` at work '' in different situations by the judgment of a number of experts who could see how the salesmen conducted themselves with different, but typical restaurant owners and managers.

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.

As the number of reported freight car loadings increased, this was taken to indicate increased industrial activity, and consequently increased stock earnings, implying fatter dividends, and implying therefore increased stock market prices.

This Europeanization of the law was made explicit by a number of 19th century scholars.

While the method of interviewing a small number of companies was appealing because of the opportunity it might have furnished to probe fully the reasons and circumstances of a company's practices and opinions, it also involved the risk of paying undue attention to the unique and peculiar problems of just a few individual companies.

; Random effect: An effect associated with input variables chosen at random from a population having a large or infinite number of possible values.

Later experiments are often designed to test a hypothesis that a treatment effect has an important magnitude ; in this case, the number of experimental units is chosen so that the experiment is within budget and has adequate power, among other goals.

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.

These numbers also arise in combinatorics, where gives the number of different combinations of b elements that can be chosen from an n-element set.

The bylaws commonly also specify the number of members of the board, how they are to be chosen, and when they are to meet.

Dalian was chosen due to the large number of Canadian expatriates in the area.

A line with a chosen Cartesian system is called a number line.

The player character faces them in large numbers, with the number generally increased when the higher of the game's five difficulty levels is chosen when starting a new game.

He creates an image of disparate individuals, with factions broken up by the guiding hand of the law, working to ensure those in positions of importance are fairly chosen from their number and without the capacity to serve the interests of a smaller group.

The magnetic quantum number determines the projection of the angular momentum on the ( arbitrarily chosen ) z-axis.

A number of public figures have notably chosen to take up semi-permanent or permanent residence in hotels.

The game was played with a wooden curved bat ( called Colf or Kolf ) and a ball made of wood or leather between two poles or simply convenient nearby landmarks, with the object hitting the chosen point with the least number of strokes.

When they are both large, for instance more than 2000 bits long, randomly chosen, and about the same size ( but not too close, e. g. to avoid efficient factorization by Fermat's factorization method ), even the fastest prime factorization algorithms on the fastest computers can take enough time to make the search impractical ; that is, as the number of digits of the primes being factored increases, the number of operations required to perform the factorization on any computer increases drastically.

By 1989, with a definitive model name now chosen, the MX-5 ( as in " Mazda Experiment ", project number 5 ) was ready to be introduced to the world as a true lightweight sports car, weighing just.

The changes in the carrier signal are chosen from a finite number of M alternative symbols ( the modulation alphabet ).

If the symbol < tt >/</ tt > is chosen, for example, then the number seven would be represented by < tt >///////</ tt >.

The international nautical mile was chosen as the integer number of metres closest to the mean sea mile.

In the early 1920s, three German cryptographers ( Werner Kunze, Rudolf Schauffler and Erich Langlotz ), who were involved in breaking such systems, realized that they could never be broken if a separate randomly chosen additive number was used for every code group.

One may posit that God knows all possible future events, meaning that he would see an infinite number of timelines laid out on a plane, and such time lines would still remain to exist even if not chosen.

In applied probability, a probability distribution can be specified in a number of different ways, often chosen for mathematical convenience:

The first result in that direction is the prime number theorem, proven at the end of the 19th century, which says that the probability that a given, randomly chosen number is prime is inversely proportional to its number of digits, or the logarithm of n.