Some articles on product, partial products, partial product:
... The product of two N-bit numbers requires 2N bits to contain all possible values ... ahead of time, all additions must be double-precision and at least twice as many partial products are needed than for the more efficient algorithms actually ... a problem when the multiplicand (the one being repeatedly added to form the product) is negative the issue is setting the initial bits of the product correctly ...
... Each factor (for a given prime p) in the product above can be expanded to a geometric series consisting of the reciprocal of p raised to multiples of s ... By the fundamental theorem of arithmetic, the partial product when expanded out gives a sum consisting of those terms n−s where n is a product of primes less than or equal to q ... only integers larger than q can fail to appear in this expanded out partial product ...
Famous quotes containing the words product and/or partial:
“Labor is work that leaves no trace behind it when it is finished, or if it does, as in the case of the tilled field, this product of human activity requires still more labor, incessant, tireless labor, to maintain its identity as a work of man.”
—Mary McCarthy (19121989)
“We were soon in the smooth water of the Quakish Lake,... and we had our first, but a partial view of Ktaadn, its summit veiled in clouds, like a dark isthmus in that quarter, connecting the heavens with the earth.”
—Henry David Thoreau (18171862)