By " even " portioning, Mandelbrot meant that the addends where of same order of magnitude, otherwise he considered the portioning to be " concentrated ".
12.
The numbers to be summed ( called " addends ", or sometimes " summands " ) may be integers, rational numbers, real numbers, or complex numbers.
13.
If the addends are four or more, more than one layer of compressors is necessary, and there are various possible design for the circuit : the most common are Dadda and Wallace trees.
14.
A game composed of smaller games is called the disjunctive sum of those smaller games, and the theorem states that the method of addition we defined is equivalent to taking the disjunctive sum of the addends.
15.
That name stems from the graphical representation of the identity on Pascal's triangle : when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects.
16.
For example, one can represent the first addend ( 3 ) on one's left hand by raising three fingers, and then do the same with four fingers on the right hand, and then count up the number of fingers that are raised.
17.
The possibility that they are ( for example ) in different time zones, both editing either after work or at work, never seems to occur to GL . ( Addend : He has since amended this part of his claim to include that as a possibility .)
18.
For example, if given the truth table for the arithmetic sum bit " u " of one bit position's logic of an adder circuit, as a function of " x " and " y " from the addends and the carry in, " ci ":
19.
I'm not sure if this is Kosher, but this question prompted me to come up with another directly related question, which I'd like to addend onto this one : Would a rocky / irony terrestial planet the size of Jupiter begin to have nuclear fission due to the incredible pressures in the core?
20.
That is, when the addends are statistically independent, the mean of the sum is the sum of the means, the variance of the sum is the sum of the variances, the third cumulant ( which happens to be the third central moment ) of the sum is the sum of the third cumulants, and so on for each order of cumulant.
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