Mesh

A mesh is a barrier made of connected strands of metal, fiber, or other flexible/ductile materials. A mesh is similar to a web or a net in that it has many attached or woven strands.

Types of mesh

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

Originality

Originality is the aspect of created or invented works by as being new or novel, and thus can be distinguished from reproductions, clones, forgeries, or derivative works. An original work is one not received from others nor one copied from or based upon the work of others.. It is a work created with a unique style and substance. The term "originality" is often applied as a compliment to the creativity of artists, writers, and thinkers. The idea of originality as we know it was invented by Romanticism, with a notion that is often called romantic originality.

The concept of originality is culturally contingent. It became an ideal in Western culture starting from the 18th century. In contrast, at the time of Shakespeare it was common to appreciate more the similarity with an admired classical work, and Shakespeare himself avoided "unnecessary invention".

Originality in law

In law, originality has become an important legal concept with respect to intellectual property, where creativity and invention have manifest as copyrightable works. In the patent law of the United States and most other countries, only original inventions are subject to protection. In addition to being original, inventions submitted for a patent must also be useful and nonobvious.

Original (Leftfield song)

"Original" is a song by Leftfield, released as the sixth single under that name. The song was released on 12" and CD on 13 March 1995. It featured Toni Halliday on vocals. The song gave the group their first appearance on Top of the Pops and reached #18 in the UK charts. The beginning of the song is used often on the UK version of Big Brother.

Background

Toni Halliday about "Original":

Track listing

CD

Australian CD

12"

References

Original (catamaran)

Original was a catamaran built by Englishman Mayflower Crisp in Rangoon, Burma in the early 19th century.

See also

References