Weight function

A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and analysis, and are closely related to the concept of a measure. Weight functions can be employed in both discrete and continuous settings. They can be used to construct systems of calculus called "weighted calculus" and "meta-calculus".

Discrete weights

General definition

In the discrete setting, a weight function is a positive function defined on a discrete set , which is typically finite or countable. The weight function corresponds to the unweighted situation in which all elements have equal weight. One can then apply this weight to various concepts.

If the function is a real-valued function, then the unweighted sum of on is defined as

Frank Iero

Frank Anthony Iero, Jr. (born October 31, 1981) is a musician who was the rhythm guitarist and backup vocalist of the alternative rock band My Chemical Romance as well as the vocalist of the post-hardcore band Leathermouth and electronic-hardcore act Death Spells. He has a solo punk rock project titled FrnkIero And The Cellabration with an album titled Stomachaches that was released on August 26, 2014. The first single off the album, called "Weighted", premiered on BBC Radio One on July 8, 2014.

Early life

He was born in Belleville, New Jersey and grew up in Kearny, New Jersey. As a child, he suffered numerous bouts of bronchitis and ear infections, which meant he spent a lot of his childhood in the hospital. Frank is also lactose intolerant and has other various food allergies.<ref name"https://twitter.com/FrankIero">"Twitter". Twitter. Retrieved 2014-06-29. </ref> He attended a Catholic school as a child. He went to Rutgers University on a scholarship, but dropped out to go on tour with My Chemical Romance.