If being human means being defined by our limits as much as by our abilities, we are reaching the stage where prosthetics and technological gizmos will challenge what we think should be possible.
But what the melody means was defined not only by exquisite phrasing, which implies a subjective, feeling response, but also by a clear and justly measured registering of the harmony, which could be just there, simply present.
In this paper, the corresponding weighted mixed symmetric means and Cauchy-type means are defined.
Related Cauchy type means are defined, and some basic properties are given.
Symmetric (resp. homogeneous, continuous) means are defined in the usual way.
As usual, continuous (resp. symmetric/homogeneous) means are defined in the habitual way.
Symmetric (resp. homogeneous/continuous/monotone) means are defined in the usual way; see, for instance, [1].
A need will become a want, if means are defined, which are considered capable to satisfy the need.
Livelihood security means are defined here as livelihood strategies of the different methods used by pastoralists within their social and ecological context to cope with damaging losses.
Based on them, three two-parameter families of means involving trigonometric functions, which include Schwab-Borchardt mean, the first and second Seiffert means, Sándor's mean and many other new means, are defined.
