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A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...
Percentages greater than 100 or less than zero are treated in the same way, e.g. 311% means 311 ⁄ 100 and −27% means −27 ⁄ 100. The related concept of permille , or parts per thousand (ppt), means a denominator of 1000, and this parts-per notation is commonly used with larger denominators, such as million and billion , e.g. 75 parts per ...
RSA Laboratories (which is an initialism of the creators of the technique; Rivest, Shamir and Adleman) published a number of semiprimes with 100 to 617 decimal digits. Cash prizes of varying size, up to US$200,000 (and prizes up to $20,000 awarded), were offered for factorization of some of them. The smallest RSA number was factored in a few days.
If the degree of p and q are equal, the limit is the leading coefficient of p divided by the leading coefficient of q; If the degree of p is less than the degree of q, the limit is 0. If the limit at infinity exists, it represents a horizontal asymptote at y = L. Polynomials do not have horizontal asymptotes; such asymptotes may however occur ...
More generally, the set of m×n matrices can be used to represent the R-linear maps between the free modules R m and R n for an arbitrary ring R with unity. When n = m composition of these maps is possible, and this gives rise to the matrix ring of n × n matrices representing the endomorphism ring of R n .
This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...
Argentina, [C] officially the Argentine Republic, [A] [D] is a country in the southern half of South America.Argentina covers an area of 2,780,085 km 2 (1,073,397 sq mi), [B] making it the second-largest country in South America after Brazil, the fourth-largest country in the Americas, and the eighth-largest country in the world.
In the 2011 census, 59.4% of the population of England specified their religion as Christian, 24.7% answered that they had no religion, 5% specified that they were Muslim, while 3.7% of the population belongs to other religions and 7.2% did not give an answer. [208] Christianity is the most widely practised religion in England.