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

Existence

Existence is commonly held to be that which objectively persists independent of one's presence.

Ontology is the philosophical study of the nature of being, existence or reality in general, as well as of the basic categories of being and their relations. Traditionally listed as a part of the major branch of philosophy known as metaphysics, ontology deals with questions concerning what entities exist or can be said to exist, (for instance: "Does the stellar structure UDFj-39546284 exist?"), and how such entities can be grouped, related within a hierarchy, and subdivided according to similarities and differences. A lively debate continues about the existence of God.

Epistemology is the branch of philosophy concerned with the nature and scope of knowledge; it is also referred to as "theory of knowledge". Usually, it is limited to the study of the classical components of justified true belief. Epistemology also investigates how knowledge can be taught or acquired, and the conditions and extent to which any given subject or entity can be known.

Existence (Dark Suns album)

Existence is the second album by the German progressive metal band, Dark Suns. For this release, the band dropped the harsh vocals that were used for the band's previous album Swanlike.

Track listing

Personnel

References

Existence (Beto Vázquez Infinity album)

Existence is the fourth full-length album by Beto Vázquez Infinity, released on November 2010.

Track listing

One

Two

Credits

Beto Vazquez Infinity

Guests