misspelledsearch.com:

unique table lamp

information page

If you cannot find the information you are searching for on this page, we suggest searching Google with the correct spelling "unique table lamp":

In predicate logic and technical fields that depend on it, uniqueness quantification, or unique existential quantification, is an attempt to formalise the notion of something being true for exactly one thing, or exactly one thing of a certain type.

Uniqueness quantification is a kind of quantification; more information about quantification in general is in the Quantification article. This article deals with the ideas peculiar to uniqueness quantification. A generalization of uniqueness quantification is counting quantification.

For example:

There is exactly one natural number x such that x - 2 = 4.

Symbolically, this can be written:

∃!x in N, x - 2 = 4

The symbol "∃!" is called the uniqueness quantifier, or unique existential quantifier. It is usually read "there exists one and only one", or "there exists a unique" (Several variations on the grammar for this symbol exist, as well as for how it's read.)

Uniqueness quantification is usually thought of as a combination of universal quantification ("for all", "∀"), existential quantification ("for some", "∃"), and equality ("equals", "="). Thus if P(x) is the predicate being quantified over (in our example above, P(x) is "x - 2 = 4"), then ∃!x, P(x) means:

(∃a, P(a) ∧ (∀b, P(b) → (a = b)))

In words:

For some a, P(a) and for all b, if P(b), then a equals b.

Or even more succinctly:

For some a such that P(a), for all b such that P(b), a equals b.

Here, a is the unique object such that P(a); it exists, and furthermore, if any other object b also satisfies P(b), then b must be that same unique object a.

The statement that exactly one x exists such that P(x) can also be seen as a logical conjunction of two weaker statements:

1. For at least one x, P(x); and
2. For at most one x, P(x).

The 1st of these is simply existential quantification; ∃x, P(x). The 2nd is uniqueness without existence, sometimes written !x, P(x). This is defined as:

∀a, ∀b, P(a) ∧ P(b) → a = b

The conjunction of these statements is logically equivalent to the single statement given earlier. But in practice, proving unique existence is often done by proving these two separate statements.

See also: one and only one.

This unique table lamp index site has been developed to help wayward users find the information they are looking for, no matter how they are mistakenly spelled or mistyped. This site is designed to help users find unique table lamp information for the following query variants:

unique table	unique table amp	unique table lam	unique table lap
unique table rap	unique table lamb	unique table ram	unique table ramp
unique table ianp	unique table lanp	unique table lapm	unique table lmap
unique table almp	unique table lmp	unique lamp	unique able lamp
unique tale lamp	unique tible lamp	unique teble lamp	unique tabul lamp
unique tibul lamp	unique tebul lamp	unique tebre lamp	unique tibre lamp
unique tebel lamp	unique tabel lamp	unique tibel lamp	unique tabre lamp
unique ible lamp	unique eble lamp	unique abul lamp	unique ibul lamp
unique ebul lamp	unique ibre lamp	unique ebre lamp	unique ibel lamp
unique ebel lamp	unique abel lamp	unique abre lamp	unique taul lamp
unique teul lamp	unique tail lamp	unique tare lamp	unique tele lamp
unique tael lamp	unique tabl lamp	unique tabr lamp	unique tabie lamp
unique talbe lamp	unique tbale lamp	unique atble lamp	unique tabe lamp
unique tble lamp	table lamp	uniqwe table lamp	uneak table lamp
uneek table lamp	unikwe table lamp	unikw table lamp	uniqw table lamp
uniqu table lamp	unlque table lamp	umique table lamp	uniqeu table lamp
uniuqe table lamp	unqiue table lamp	uinque table lamp	nuique table lamp
uniqe table lamp	uniue table lamp	unque table lamp	uique table lamp
nique table lamp