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Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). [1]
With = agents, an envy-free division can be found using two queries, via divide and choose. With > agents, there are several open problems regarding the number of required queries. 1. First, assume that the entire cake must be allocated (i.e., there is no disposal), and pieces may be disconnected.
Optimization problems arise naturally in many applications, such as the traveling salesman problem and many questions in linear programming. Function and optimization problems are often transformed into decision problems by considering the question of whether the output is equal to or less than or equal to a given value. This allows the ...
Formatting cells using Excel shortcuts is a lot faster than choosing options from menus. These are the most useful ones to know: Formatting and editing cells on a PC
The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.
WASHINGTON − President Joe Biden’s pardon of his son Hunter Biden, who was convicted of federal gun charges and tax evasion, rocked the political world with Republican lawmakers and President ...
She adds that using the word “should” can unwittingly lead to feelings of shame, as if they should have already known and done better. Dr. Danda points to one alternative: “I have some ideas ...
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