Definitions may be given for sums over an arbitrary index set . The index variable refers to an arbitrary element . This may lead to execution of arbitrary Perl code. This method is well suited to computation of the area of an arbitrary polygon. The golden ratio is therefore relatively easy to compute with arbitrary precision. That treaty only permits liability for arbitrary and unlawful speech. Perl parsers that allow loading of objects of arbitrary classes create so-called "blessed" values. They are only related to arbitrary social norms. There were demonstrations against these summary executions and this display of arbitrary senatorial power. Tuples (class codice 75) are immutable sequences of items of arbitrary types. These are popular because they allow cleaving of a substrate in any arbitrary location. The uniform distribution is useful for sampling from arbitrary distributions. Let and be complex matrices and let and be arbitrary complex numbers. Cantor's study of arbitrary infinite sets also drew criticism. The metadata is stored in a vector of byte strings of arbitrary length and size.