[g(a),g(b)]} . The term monotonic is sometimes used in place of strictly monotonic, so a source may state that all monotonic functions are invertible...

called monotonic logics in order to differentiate them from non-monotonic logics. Classical logic and intuitionistic logic are examples of monotonic logics...

absolutely monotonic function and a completely monotonic function are two very closely related concepts. Both imply very strong monotonicity properties...

A non-monotonic logic is a formal logic whose conclusion relation is not monotonic. In other words, non-monotonic logics are devised to capture and represent...

Absolutely and completely monotonic functions and sequences Levin, Vladimir (1 March 1999). "Abstract Cyclical Monotonicity and Monge Solutions for the...

different orthographies: el-monoton for monotonic Greek. el-polyton for polytonic Greek. While the tónos of monotonic orthography looks similar to the oxeîa...

1111/1467-937X.00076. S2CID 16282419. Doğan, Battal; Koray, Semih (2014). "Maskin-monotonic scoring rules" (PDF). Social Choice and Welfare. 44 (2): 423. doi:10...

x {\displaystyle y\succ x} . This definition defines monotonic increasing preferences. Monotonic decreasing preferences can often be defined to be compatible...

not exhibit perversity are said to satisfy the positive response or monotonicity criterion. Perversity is often described by social choice theorists as...

I\subseteq J\Rightarrow q(I)\subseteq q(J)} (q must be a monotonic function). An example of a monotonic query is a select-project-join query containing only...

algorithm can meet all the deadlines, then the rate-monotonic algorithm can too. The deadline-monotonic scheduling algorithm is also optimal with equal periods...

A monotonic scale is a musical scale consisting of only one note in the octave. Having a deliberate fixed note, the monotonic is still a musical form...

monotone sequence. This is a special case of the more general notion of a monotonic function. The terms nondecreasing and nonincreasing are often used in...

House monotonicity: 134–141  (also called house-size monotonicity) is a property of apportionment methods. These are methods for allocating seats in a...

x^{6}(1-x)^{4}d\mu (x)\geq 0.} Absolutely and completely monotonic functions and sequences Total monotonicity Hausdorff, F. "Summationsmethoden und Momentfolgen...

In statistics and numerical analysis, isotonic regression or monotonic regression is the technique of fitting a free-form line to a sequence of observations...

Population monotonicity (PM) is a principle of consistency in allocation problems. It says that, when the set of agents participating in the allocation...

Monotony Fields is the fourth studio album by Finnish funeral doom metal band Shape of Despair, released on June 15, 2015 by Season of Mist as CD digipak...

object Monotonic function, a property of a mathematical function Monotonicity of entailment, a property of some logical systems Monotonically increasing...

_{0}^{\infty }\left(1\wedge x\right)\mu (dx)<\infty .} Absolutely and completely monotonic functions and sequences S. N. Bernstein (1928). "Sur les fonctions absolument...

"Anatomy of Monotony" is a poem from the second edition (1931) of Wallace Stevens's first book of poetry, Harmonium. Unlike most of the poems in this collection...

Vote-ratio,: Sub.9.6  weight-ratio, or population-ratio monotonicity: Sec.4  is a property of some apportionment methods. It says that if the entitlement...

001. ISSN 0165-4896. S2CID 16282641. Thomson, William (1994). "Resource-monotonic solutions to the problem of fair division when preferences are single-peaked"...

coordinate of the crossed point, and these events are extracted in monotonic ordering. A monotonic extraction order also occurs in the best-first version of branch...

Deadline-monotonic priority assignment is a priority assignment policy used with fixed-priority pre-emptive scheduling. With deadline-monotonic priority...

length at least (r − 1)(s − 1) + 1 contains a monotonically increasing subsequence of length r or a monotonically decreasing subsequence of length s. The proof...

the number of monotonic lattice paths along the edges of a grid with n × n square cells, which do not pass above the diagonal. A monotonic path is one which...

In differential geometry, Huisken's monotonicity formula states that, if an n-dimensional surface in (n + 1)-dimensional Euclidean space undergoes the...

large internal volumes in order to serve their duties. Gross tonnage is a monotonic and 1-to-1 function of the ship's internal structural volume. It does...

monotonic matrix, a square matrix whose nonzero entries increase along each row and column and whose equal nonzero entries are placed in a monotonic sequence...