Greatest common divisor

The implementation for each design point is characterized in terms of the schedule cost, number of registers, area cost, and critical path delay. The number of registers decreases as more resources are dedicated because it is not necessary to latch the output of shared resources. The critical path delay increases as more resources are dedicated due to the effect of cascading logic. 

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Integer arithmetic then shows that the smallest magnitude nonzero value of N will be given by the greatest common divisor of and z/2. Thus, we can easily determine the helical operator H Hh,f) that yields... 

To reduce the fraction to its lowest terms (which may be referred to as simplifying the fraction ), find the largest number (referred to as greatest common divisor) that will divide evenly into each term. 

GCD in Equation (36) is the Greatest Common Divisor, i.e. the largest positive integer that divides integer numbers in 0. 

Proof. Let us denote by m the greatest common divisor of np and nq. Then there exists an integer n coprime to nq such that np = mn. 

The period of the counter is inversely proportional to the greatest common divisor of the module and increment value W. We propose next very simple procedure to form parameter W ... 

Substance Weight in grams of 1 mole Percentage by weight of chlorine Weight of chlorine in 1 mole Greatest common divisor... 

A circle on the surface of a sphere whose center is the center of the sphere, greatest common divisor... 

The greatest common divisor of a sequence of integers, is the largest integer that divides each of them exactly, greatest common factor... 

Same as greatest common divisor, greatest lower bound... 

Additionally, the public key contains a number e [Pg.20]

Two important properties of Markov chains are aperiodicity and communication. For each state of the chain, we define the number d(i) to be the greatest common divisor of all integers I such that r > 0 (if the probability of return to state i is zero, then we set d(i) = 0). If d(i) = 1, for all i then we say that the chain is... 

For BMDs, a function obtains its root label by computing the greatest common divisor (gcd) of the root labels of successor functions. Conversely, the function represented at an edge is obtained by multiplying the edge value m with the node function ... 

For each a subset of the index space is defined. Any point of a subset can be used as an initial vector for this subset. Therefore, if No is the number of the different subsets of the index space, then only No initial vectors are required and thus m = 1,2,.,., Nq > 1. In general, the number of independent subsets is equal to the greatest common divisor of the minor determinants of the dependence matrix [25]. Let Ti = i t i) = 1, where i is a point of the index space and (i) is its execution time [5]. If G Ti, m = 1,2,..., No then any point of the index space can be written in the form of equation (9), each point of the index space belongs to one subset only, and there is no dependence between different subsets. 

We need the fractions package for its fast greatest common divisor implementation import fractions... 

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