**Formal Definition**

The dimension of a poset *P* is the least integer *t* for which there exists a family

of linear extensions of *P* so that, for every *x* and *y* in *P*, *x* precedes *y* in *P* if and only if it precedes *y* in each of the linear extensions. That is,

Read more about this topic: Order Dimension

### Other articles related to "formal definition":

Atomic SP-DEVS -

... The above controller for crosswalk lights can be modeled by an atomic SP-DEVS model ... Formally, an atomic SP-DEVS is a 7-tuple where is a finite set of input events is a finite set of output events is a finite set of states is the initial state is the time advanced function which defines the lifespan of a state where is the set of non-negative rational numbers plus infinity ...

**Formal Definition**... The above controller for crosswalk lights can be modeled by an atomic SP-DEVS model ... Formally, an atomic SP-DEVS is a 7-tuple where is a finite set of input events is a finite set of output events is a finite set of states is the initial state is the time advanced function which defines the lifespan of a state where is the set of non-negative rational numbers plus infinity ...

Big O Notation - Example

... In typical usage, the

... In typical usage, the

**formal definition**of O notation is not used directly rather, the O notation for a function f(x) is derived by the following simplification ... One may confirm this calculation using the**formal definition**let f(x) = 6x4 − 2x3 + 5 and g(x) = x4 ... Applying the**formal definition**from above, the statement that f(x) = O(x4) is equivalent to its expansion, for some suitable choice of x0 and M and for all x > x0 ...### Famous quotes containing the words definition and/or formal:

“Scientific method is the way to truth, but it affords, even in

principle, no unique *definition* of truth. Any so-called pragmatic*definition* of truth is doomed to failure equally.”

—Willard Van Orman Quine (b. 1908)

“Two clergymen disputing whether ordination would be valid without the imposition of both hands, the more *formal* one said, “Do you think the Holy Dove could fly down with only one wing?””

—Horace Walpole (1717–1797)

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