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[1] [2] [3] On an expression or formula calculator, one types in an expression and then presses a key, such as "=" or "Enter", to evaluate the expression. [4] [5] [6] There are various systems for typing in an expression, as described below.
The few systems that calculate the majority function on an even number of inputs are often biased towards "0" – they produce "0" when exactly half the inputs are 0 – for example, a 4-input majority gate has a 0 output only when two or more 0's appear at its inputs. [1] In a few systems, the tie can be broken randomly. [2]
An n-ary operation can also be viewed as an (n + 1)-ary relation that is total on its n input domains and unique on its output domain. An n-ary partial operation ω from X n to X is a partial function ω: X n → X. An n-ary partial operation can also be viewed as an (n + 1)-ary relation that is unique on its output domain.
An input gate computes the polynomial it is labeled by. A sum gate v {\displaystyle v} computes the sum of the polynomials computed by its children (a gate u {\displaystyle u} is a child of v {\displaystyle v} if the directed edge ( v , u ) {\displaystyle (v,u)} is in the graph).
By preceding each A input bit on the adder with a 2-to-1 multiplexer where: Input 0 (I 0) is A; Input 1 (I 1) is A; that has control input D that is also connected to the initial carry, then the modified adder performs addition when D = 0, or; subtraction when D = 1. This works because when D = 1 the A input to the adder is really A and the ...
[1] [2] The condition number is derived from the theory of propagation of uncertainty, and is formally defined as the value of the asymptotic worst-case relative change in output for a relative change in input. The "function" is the solution of a problem and the "arguments" are the data in the problem.
Boolean logic allows 2 2 = 4 unary operators; the addition of a third value in ternary logic leads to a total of 3 3 = 27 distinct operators on a single input value. (This may be made clear by considering all possible truth tables for an arbitrary unary operator.
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 ) .
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