
Non-commutative arithmetic circuits with division
... phenomenon of nested inversion provides a new invariant not present in the commutative setting - the height of a rational function. The height is the minimum number of nested inversions in a formula computing this rational function. For a long time, it was not even clear that the height is unbounde ...
... phenomenon of nested inversion provides a new invariant not present in the commutative setting - the height of a rational function. The height is the minimum number of nested inversions in a formula computing this rational function. For a long time, it was not even clear that the height is unbounde ...
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... Example 2: Let x = the amount of liquid (in milliliters) of a product sold by some company. The income (I) that the company makes from sales of the liquid can be represented by the equation I(x)=10.5x and the expenses (E) for the production of the liquid can be represented by the equation E(x)=5.25x ...
... Example 2: Let x = the amount of liquid (in milliliters) of a product sold by some company. The income (I) that the company makes from sales of the liquid can be represented by the equation I(x)=10.5x and the expenses (E) for the production of the liquid can be represented by the equation E(x)=5.25x ...