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A timed word may be passed to a model, such as a timed automaton, which will decide, given the letters or actions that already occurred, what is the next action that should be done. In our example, to which floor the elevator must go. Then a program may test this timed automaton and check the above-mentioned property.
Some chips implement long multiplication, in hardware or in microcode, for various integer and floating-point word sizes. In arbitrary-precision arithmetic , it is common to use long multiplication with the base set to 2 w , where w is the number of bits in a word, for multiplying relatively small numbers.
An example of an external operation is scalar multiplication, where a vector is multiplied by a scalar and result in a vector. An n -ary multifunction or multioperation ω is a mapping from a Cartesian power of a set into the set of subsets of that set, formally ω : X n → P ( X ) {\displaystyle \omega :X^{n}\rightarrow {\mathcal {P}}(X)} .
The grid method (also known as the box method) of multiplication is an introductory approach to multi-digit multiplication calculations that involve numbers larger than ten. Because it is often taught in mathematics education at the level of primary school or elementary school , this algorithm is sometimes called the grammar school method.
In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations ...
Multiplication by a positive number preserves the order: For a > 0, if b > c, then ab > ac. Multiplication by a negative number reverses the order: For a < 0, if b > c, then ab < ac. The complex numbers do not have an ordering that is compatible with both addition and multiplication. [30]
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