Spectrum (disambiguation)

A spectrum is a condition or value that is not limited to a specific set of values but can vary infinitely within a continuum.

Spectrum may also refer to:

Physical science

Partition of an interval

In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x = ( x_i ) of real numbers such that

In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers (belonging to the interval I itself) starting from the initial point of I and arriving at the final point of I.

Every interval of the form [x_i, x_i+1] is referred to as a sub-interval of the partition x.

Refinement of a partition

Another partition of the given interval, Q, is defined as a refinement of the partition, P, when it contains all the points of P and possibly some other points as well; the partition Q is said to be “finer” than P. Given two partitions, P and Q, one can always form their common refinement, denoted P ∨ Q, which consists of all the points of P and Q, re-numbered in order.

Norm of a partition

The norm (or mesh) of the partition

is the length of the longest of these subintervals, that is

Applications

Partitions are used in the theory of the Riemann integral, the Riemann–Stieltjes integral and the regulated integral. Specifically, as finer partitions of a given interval are considered, their mesh approaches zero and the Riemann sum based on a given partition approaches the Riemann integral.

Mesh (disambiguation)

Mesh is a type of material.

Mesh or MESH may also refer to:

In science and mathematics

In computing

In popular culture

In medicine

Medical Subject Headings

Medical Subject Headings (MeSH) is a comprehensive controlled vocabulary for the purpose of indexing journal articles and books in the life sciences; it serves as a thesaurus that facilitates searching. Created and updated by the United States National Library of Medicine (NLM), it is used by the MEDLINE/PubMed article database and by NLM's catalog of book holdings. MeSH is also used by ClinicalTrials.gov registry to classify which diseases are studied by trials registered in ClinicalTrials.gov.

MeSH was introduced in 1960, with the NLM's own index catalogue and the subject headings of the Quarterly Cumulative Index Medicus (1940 edition) as precursors. The yearly printed version of MeSH was discontinued in 2007 and MeSH is now available online only. It can be browsed and downloaded free of charge through PubMed. Originally in English, MeSH has been translated into numerous other languages and allows retrieval of documents from different languages.

Structure of MeSH

Spike

Spike, spikes, or spiking may refer to:

Device to puncture or fasten

Technology and science

As a name

Spike (musician)

Jonathan Gray (born February 4, 1968), known professionally as Spike (sometimes also known as Spike Gray), is an English rock frontman, songwriter and vocalist, known for his times with The Quireboys with whom he has released seven studio albums to date.

Early life and education

Gray was born in Newcastle upon Tyne and grew up in Northern England.

Career

At age 17, he moved down to London where, eventually, he would form the rock band The Quireboys with Guy Bailey in 1984. After various tours and singles, Spike with The Quireboys released their debut album A Bit of What You Fancy (1990), which went to number two on the UK Albums Chart. The band gained significant success, but their second album Bitter Sweet & Twisted (1993) did not quite have the impact of the first.

After The Quireboys split up in 1993, he played in the United States, in Los Angeles, California, with a band called God's Hotel. He also sang lead vocals on a cover of Hank Williams's country classic "Hey Good Lookin'", with C.C. DeVille from the American glam-metal band Poison, for the soundtrack of the comedy film Son in Law (1993) that starred Pauly Shore.

Spike (film series)

Spike/Butch was a short-lived animation cartoon series by Metro-Goldwyn-Mayer. The title character was also a recurring antagonist in the Droopy shorts. His name was changed to Butch to avoid confusion with Spike from the Tom and Jerry cartoons. All of the original, 1940s-50s shorts were directed by Tex Avery.

Spike solo cartoons

Appearances in Droopy cartoons