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.
In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x = ( xi ) 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 [xi, xi+1] is referred to as a sub-interval of the partition x.
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.
The norm (or mesh) of the partition
is the length of the longest of these subintervals, that is
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 is a type of material.
Mesh or MESH may also refer to:
I couldn't deny
It's the only the wise that make it
It's only the fools that throw it away
And so I can't rely on
Most of my life I've been here
It should be my youth that's in the way
But did I tell you that
I love you
It's over
It's too late
Move over
The meaning's gone from everything
Is it so hard for you and me
We break their hearts
We clip their wings
And we say everything we try to do is wrong
Is it so hard for you and me
We play our part
It's so obscene
When we say everything worth living for is gone
It's only design
For something alive at work here
Something that only needs to tame
And I'll just resign
And you'll just take what you're given
And everything else gets thrown away
But did I tell you that
I hate you
I need you
Your worn out
And see through
And all those words get in the way
Is it so hard for you and me
We break their hearts
We clip their wings
And we say everything we try to do is wrong
Is it so hard for you and me
We play our part
It's so obscene
When we say everything worth living for is gone
You try so hard to prove me wrong
You can't do anything to change where we belong
You try so hard to make me see
But can't do anything to ruin you and me
Is it so hard for you and me
We break their hearts
We clip their wings
And we say everything we try to do is wrong
Is it so hard for you and me
We break their hearts
We clip their wings
And we say everything we try to do is wrong
(Your worn out)
Is it so hard for you and me
We play our part
It's so obscene
When we say everything worth living for is gone
(Your worn out and see through)
I love you
It's over
It's too late
Move over
I hate you
I need you
Your worn out
And see through
I love you
It's over
It's too late
Move over
I hate you
I need you
Your worn out