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 monotonic - Definition 

Monotonic orthography (835 bytes)
1: '''Monotonic orthography''' is the simplified way for spelling...

Monotonic function (5487 bytes)
1: ...tions being '''monotonically increasing''' and '''monotonically decreasing''', order theory prefers the terms...
13: == Monotonicity in calculus and analysis ==
17: ... "increasing"). Likewise, a function is called '''monotonically decreasing''' (or "nonincreasing" or "decreas...
19: If the order ≤ in the definition of monotonicity is replaced by the strict order <, then one...
21: ...monotonically increasing for ''x'' ≤ ''m'' and monotonically decreasing for ''x'' ≥ ''m''. In that cas...

Non-monotonic logic (836 bytes)
1: ...uilt up, monotonically increasing. But, in '''non-monotonic logic''', the propositions are defeasible; that i...

Rate-monotonic scheduling (6750 bytes)
1: '''Rate-monotonic scheduling''' [Liu73] is an optimal preemptive st...
7: ...tatic priorities assigned according to the ''rate monotonic'' principle (tasks with shorter periods/deadlines...
19: ...gorithms are identical, and in addition, deadline monotonic scheduling is optimal when deadlines are less tha...
118: *J. Lehoczky, L. Sha and Y. Ding, The Rate monotonic scheduling algorithm: exact characterization and ...
122: [[fr:Rate-monotonic scheduling]]

Monotonic Greek orthography (962 bytes)
1: '''Monotonic Greek orthography''' is the standard way of writi...
3: Most people think the adoption of monotonic spelling is justified by the fact that the ancien...

Monotonicity criterion (2017 bytes)
1: ...ty usually refers to the different concept of a [[monotonic function]].
3: The '''monotonicity criterion''' for voting systems is the followi...
7: ...ugh looser, way of phrasing this is that in a non-monotonic system, voting for a candidate can cause that can...
9: ...le to [[tactical voting]], systems which fail the monotonicity criterion suffer an unusual form, where voters...
11: ...-runoff voting]] are not. [[Approval voting]] is monotonic, using a slightly different definition, because i...

Category of preordered sets (1205 bytes)
2: ...omposition]] of two monotonic functions preserves monotonicity.
4: ...onomorphism]]s in '''Ord''' are the [[injective]] monotonic functions.
10: ...reordered set the underlying [[set]], and to each monotonic function the underlying [[function (mathematics)|...

Spiral (1915 bytes)
7: ... degenerate case (the function not being strictly monotonic, but rather constant).
19: ...two-dimensional case, ''r'' is a [[continuous]] [[monotonic]] function of θ.
21: ...d variable, ''h'' (height), is also a continuous, monotonic function of θ.

Sequence (3115 bytes)
19: ...is a special case of the more general notion of [[monotonic function]].

Monotony (455 bytes)
5: ...onotonicity'') is the distinguished property of [[monotonic function]]s.

Simplicial category (743 bytes)
5: ... each <math>n\geq 0</math>, and [[morphism]]s are monotonic non-decreasing functions. It is used to define th...

Knaster-Tarski theorem (2805 bytes)
5: ...complete lattice]] and let f : L &rarr; L be an [[monotonic function|order-preserving]] [[function (mathemati...
11: ...rsion of the theorem. More generally, if ''f'' is monotonic, then the least fixpoint of ''f'' is the stationa...

RMS (734 bytes)
6: *[[rate-monotonic scheduling]], scheduling technique in operating s...

Non-Aristotelian logic (1011 bytes)
18: Compare with: [[Non-monotonic logic]] where every statement is true or false, b...

Spelling (991 bytes)
17: **[[Monotonic orthography]]

Measure zero (947 bytes)
9: ...of [[continuous function|discontinuities]] of a [[monotonic function]] have measure zero.

Almost everywhere (1778 bytes)
8: ...''f'' : [''a'', ''b''] <tt>-></tt> '''R''' is a [[monotonic]] function, then ''f'' is [[derivative|differenti...

Generalised f-mean (1774 bytes)
17: ...continuous, it follows that ''f'' is a strictly [[monotonic function]], and therefore that the ''f''-mean is ...

Earliest deadline first scheduling (1235 bytes)
3: ...pared to static scheduling techniques like [[rate-monotonic scheduling]], earliest deadline first will genera...

Kleene algebra (7772 bytes)
26: ...b'' and of ''ab'' as some multiplication which is monotonic, in the sense that ''a'' &le; ''b'' implies ''ax'...
48: Multiplication and addition are monotonic: if ''a'' &le; ''b'', then ''a'' + ''x'' &le; ''b...
50: ...* operation, we have 0* = 1 and 1* = 1, that * is monotonic (''a'' &le; ''b'' implies ''a''* &le; ''b''*), an...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "monotonic".