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Definition of Monotonic
1. Adjective. Of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value.
Category relationships: Math, Mathematics, Maths
Similar to: Decreasing Monotonic, Increasing Monotonic
Antonyms: Nonmonotonic
2. Adjective. Sounded or spoken in a tone unvarying in pitch. "The owl's faint monotonous hooting"
Similar to: Unmodulated
Derivative terms: Flatness, Monotone, Monotone, Monotone
Definition of Monotonic
1. a. Of, pertaining to, or uttered in, a monotone; monotonous.
Definition of Monotonic
1. Adjective. of or using the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress. ¹
2. Adjective. (mathematics) said of a function that either never decreases or never increases as its independent variable increases. ¹
¹ Source: wiktionary.com
Definition of Monotonic
1. [adj]
Lexicographical Neighbors of Monotonic
Literary usage of Monotonic
Below you will find example usage of this term as found in modern and/or classical literature:
1. Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw (1921)
"The infinities defined in III. and the points at which f(x) oscillates infinitely
are said to be points of infinite discontinuity. 34. monotonic Functions. ..."
2. Introduction to Infinitesimal Analysis: Functions of One Real Variable by Oswald Veblen, Nels Johann Lennes (1907)
"If f(x\)> f(x2) whenever xi<X2, the function is said to be monotonic decreasing
... The terms monotonic and oscillating are not convenient of application to ..."
3. College Algebra: With Applications by Ernest Julius Wilczynski (1916)
"The monotonic laws for positive numbers are concerned with inequalities and contain
... Before we can speak about the monotonic laws for negative numbers, ..."
4. A Glossary of Liturgical and Ecclesiastical Terms by Frederick George Lee (1877)
"monotonic.— Pertaining to monotone. MONSEIGNEUR.— A title given to bishops and
other prelates — as, for example, Papal chamberlains, assistants of the ..."
5. The Encyclopedia Americana: A Library of Universal Knowledge (1919)
"In the case of a monotonic function, f(x), not only is there a single value of
y°=f(.x) for every value of x, but for every value of 31 taken on by f(x) ..."
6. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2000)
"13.14.2 Nowhere monotonic Functions All of the continuous functions that we
encounter in a calculus class are monotonic or else they are piecewise ..."
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