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searching for Division algorithm 40 found (81 total)

P-adic number (7,711 words) [view diff] no match in snippet view article find links to article

In number theory, given a prime number p, the p-adic numbers form an extension of the rational numbers which is distinct from the real numbers, though

Polynomial long division (2,218 words) [view diff] exact match in snippet view article find links to article

\underbrace {(x^{2}+x+3)} _{q(x)}+\underbrace {5} _{r(x)}} The long division algorithm for arithmetic is very similar to the above algorithm, in which the

Standard algorithms (967 words) [view diff] exact match in snippet view article find links to article

zero to nine. (West 2011) Unlike the other standard algorithms, the division algorithm begins with the larger (left-hand) place values (Lee 2007). The quotient

Gröbner basis (10,009 words) [view diff] exact match in snippet view article find links to article

Euclidean division of f by g, and qg is the quotient. Moreover, the division algorithm is exactly the process of lead-reduction. For this reason, some authors

Fair division (2,964 words) [view diff] exact match in snippet view article find links to article

themselves really know how they value the goods. The archetypal fair division algorithm is divide and choose. It demonstrates that two agents with different

Principles of Hindu Reckoning (1,042 words) [view diff] exact match in snippet view article find links to article

remainder fraction, one telltale sign which discloses the origin of this division algorithm is in the missing 0 after 243, which in true Hindu numeral should

Robertson–Webb query model (2,139 words) [view diff] exact match in snippet view article find links to article

be given as inputs to a fair division algorithm. The RW model specifies two kinds of queries that a fair division algorithm may ask the agents: Eval and

Dave Bayer (379 words) [view diff] case mismatch in snippet view article find links to article

the direction of Heisuke Hironaka with a dissertation entitled The Division Algorithm and the Hilbert Scheme. He joined Columbia University thereafter.

E. M. V. Krishnamurthy (117 words) [view diff] case mismatch in snippet view article find links to article

Australia Nationality Indian Occupation computer scientist Known for Fast Division Algorithm Theoretical computer science Scientific career Fields Computer Science

Risch algorithm (1,884 words) [view diff] exact match in snippet view article find links to article

see Richardson's theorem. This issue also arises in the polynomial division algorithm; this algorithm will fail if it cannot correctly determine whether

ACL2 (474 words) [view diff] exact match in snippet view article find links to article

proof of the correctness of the kernel of the AMD5K86 floating point division algorithm". IEEE Transactions on Computers. 47. CiteSeerX 10.1.1.43.3309. ACL2

Galley division (949 words) [view diff] exact match in snippet view article find links to article

400AD. Sunzi division algorithm for 6561/9 (animated diagram showing the progression of working)

Rod calculus (3,616 words) [view diff] exact match in snippet view article find links to article

in the 13th century, The Sunzi division algorithm later evolved into Galley division in Europe. The division algorithm in Abu'l-Hasan al-Uqlidisi's 925AD

ILLIAC II (689 words) [view diff] exact match in snippet view article find links to article

designed by faculty member James E. Robertson, a co-inventor of the SRT Division algorithm. The ILLIAC II was one of the first pipelined computers, along with

Buchberger's algorithm (789 words) [view diff] exact match in snippet view article find links to article

here will cancel by construction). Reduce Sij, with the multivariate division algorithm relative to the set G until the result is not further reducible. If

Ancient Egyptian mathematics (2,915 words) [view diff] exact match in snippet view article find links to article

yield a quotient of 10 + 4 = 14. A more complicated example of the division algorithm is provided by Problem 66. A total of 3200 ro of fat are to be distributed

Sunzi Suanjing (516 words) [view diff] exact match in snippet view article find links to article

Sunzi division algorithm of 6561/9

Computer algebra (3,021 words) [view diff] exact match in snippet view article find links to article

Knuth–Bendix completion algorithm: for rewriting rule systems Multivariate division algorithm: for polynomials in several indeterminates Pollard's kangaroo algorithm

Laurent series (2,675 words) [view diff] exact match in snippet view article find links to article

can be obtained similarly, just by reversing the term order in the division algorithm.) Suppose a function f ( z ) {\displaystyle f(z)} holomorphic on the

Lagrange's theorem (number theory) (616 words) [view diff] exact match in snippet view article

/p\mathbb {Z} } . The fact that Z/pZ is a field allows to apply the division algorithm to f and the polynomial x − k (of degree 1), which yields the existence

Oz (programming language) (1,837 words) [view diff] exact match in snippet view article

This example computes a stream of prime numbers using the trial division algorithm by recursively creating concurrent stream agents that filter out non-prime

Chinese mathematics (7,967 words) [view diff] exact match in snippet view article find links to article

the most detailed step by step description of multiplication and division algorithm with counting rods. Intriguingly, Sunzi may have influenced the development

Theorem (4,409 words) [view diff] exact match in snippet view article find links to article

well-known theorems have even more idiosyncratic names, for example, the division algorithm, Euler's formula, and the Banach–Tarski paradox. A theorem and its

Computation of cyclic redundancy checks (5,698 words) [view diff] exact match in snippet view article find links to article

space–time tradeoffs. Various CRC standards extend the polynomial division algorithm by specifying an initial shift register value, a final Exclusive-Or

Factor theorem (1,446 words) [view diff] exact match in snippet view article find links to article

(x-a)} is a monic polynomial, and, therefore, the polynomial long division algorithm does not involve any division of coefficients. It is also a corollary

Gaussian integer (4,797 words) [view diff] exact match in snippet view article find links to article

of which can be proved using only Euclidean division. A Euclidean division algorithm takes, in the ring of Gaussian integers, a dividend a and divisor

Cyclic redundancy check (5,949 words) [view diff] exact match in snippet view article find links to article

101 1 ----------------- 00000000000000 100 <--- remainder (3 bits). Division algorithm stops here as dividend is equal to zero. Since the leftmost divisor

Polynomial greatest common divisor (7,886 words) [view diff] exact match in snippet view article find links to article

Euclidean division of the polynomials may be computed by the long division algorithm. This algorithm is usually presented for paper-and-pencil computation

Nth root (4,773 words) [view diff] exact match in snippet view article find links to article

number in decimal form. The numbers are written similar to the long division algorithm, and, as in long division, the root will be written on the line above

Horner's method (5,170 words) [view diff] exact match in snippet view article find links to article

However, for such cases faster methods are known. Using the long division algorithm in combination with Newton's method, it is possible to approximate

Intel (24,550 words) [view diff] exact match in snippet view article find links to article

Missing values in a lookup table used by the FPU's floating-point division algorithm led to calculations acquiring small errors. While these errors would

Monomial ideal (2,124 words) [view diff] exact match in snippet view article find links to article

addition, monomials are present on Gröbner basis and to define the division algorithm for polynomials in several indeterminates. Notice that for a monomial

Rounding (8,503 words) [view diff] exact match in snippet view article find links to article

proof of the correctness of the kernel of the AMD5K86 floating-point division algorithm" (PDF). IEEE Transactions on Computers. 47. CiteSeerX 10.1.1.43.3309

Christina Eubanks-Turner (978 words) [view diff] case mismatch in snippet view article find links to article

Reynoso, B. Thibodeaux, A. Urquiza, A. Wheatley, D. Young, Using the Division Algorithm to Decode Reed-Solomon Codes, Journal of Shanghai Normal University

Modular multiplicative inverse (3,635 words) [view diff] exact match in snippet view article find links to article

class modulo m is called a complete system of residues modulo m. The division algorithm shows that the set of integers, {0, 1, 2, ..., m − 1} form a complete

Equitable cake-cutting (2,082 words) [view diff] exact match in snippet view article find links to article

following existence results are proved without providing a specific division algorithm: For 2 partners, there always exists a partition of a pie which is

Edmonds–Pruhs protocol (1,583 words) [view diff] exact match in snippet view article find links to article

pieces, is divided proportionally by any deterministic proportional division algorithm. The algorithm guarantees that, with high probability, each partner

Haskell features (3,537 words) [view diff] exact match in snippet view article find links to article

sieve [x | x <- xs, rem x p /= 0] Much faster is the optimal trial division algorithm primes = 2 : [ n | n <- [3..], all ((> 0) . rem n) $ takeWhile ((<=

Kuṭṭaka (2,502 words) [view diff] case mismatch in snippet view article find links to article

maint: numeric names: authors list (link) Avinash Sathaye. "A Better Division Algorithm" (PDF). Department of mathematics, Univ. of Kentucky. Retrieved 7

Proportional cake-cutting (3,416 words) [view diff] exact match in snippet view article find links to article

pieces, is divided proportionally by any deterministic proportional division algorithm. The algorithm guarantees that, with probability O(1a2), each partner