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Topics referred to by the same term
Look up monotone in Wiktionary, the free dictionary. Monotone refers to a sound, for example music or speech, that has a single unvaried tone. See pure
Monotone
Order-preserving mathematical function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept
Monotonic_function
Theoretical concept
Monotonality is a theoretical concept, principally deriving from the theoretical writings of Arnold Schoenberg and Heinrich Schenker, that in any piece
Monotonality
American doo-wop vocal group
The Monotones were a six-member American doo-wop vocal group in the 1950s. They are considered a one-hit wonder, as their only hit single was "The Book
The_Monotones
Revision control software
Monotone is an open source software tool for distributed revision control. It tracks revisions to files, groups sets of revisions into changesets, and
Monotone_(software)
pseudo-monotone operator from a reflexive Banach space into its continuous dual space is one that is, in some sense, almost as well-behaved as a monotone operator
Pseudo-monotone_operator
2024 single by Yoasobi
"Monotone" (Japanese: モノトーン, Hepburn: Monotōn) is a song by Japanese duo Yoasobi from their fourth EP, The Book For, (2026). It was released as a single
Monotone_(song)
Measure theory and probability theorem
and probability, the monotone class theorem connects monotone classes and 𝜎-algebras. The theorem says that the smallest monotone class containing an
Monotone_class_theorem
In theoretical computer science, monotone dualization is a computational problem of constructing the dual of a monotone Boolean function. Equivalent problems
Monotone_dualization
Japanese manga series
March 18, 2009, with 22 tracks by Aniplex. The theme song for Soul Eater: Monotone Princess is "Soul's Crossing" sung by T.M.Revolution, and is included on
Soul_Eater
Variant of cubic interpolation that preserves monotonicity
In the mathematical field of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data
Monotone_cubic_interpolation
Polygon intersected up to twice by lines orthogonal to a given line
In geometry, a polygon P in the plane is called monotone with respect to a straight line L, if every line orthogonal to L intersects the boundary of P
Monotone_polygon
Monotone comparative statics is a sub-field of comparative statics that focuses on the conditions under which endogenous variables undergo monotone changes
Monotone_comparative_statics
Concept in quantum information science
entanglement monotone or entanglement measure is a function that quantifies the amount of entanglement present in a quantum state. Any entanglement monotone is
Entanglement_monotone
Partition of a simple polygon into triangles
can be split into two monotone chains. A polygon that is monotone with respect to the y-axis is called y-monotone. A monotone polygon with n vertices
Polygon_triangulation
Math concept
{\displaystyle A:X\to 2^{X}} where X is a real Hilbert space is said to be strongly monotone if ∃ c > 0 s.t. ⟨ u − v , x − y ⟩ ≥ c ‖ x − y ‖ 2 ∀ x , y ∈ X , u ∈ A
Strongly_monotone_operator
Theorems on the convergence of bounded monotonic sequences
In real analysis, the monotone convergence theorem is any of a number of related theorems proving, under certain conditions, the convergence of monotonic
Monotone_convergence_theorem
Connected series of line segments
called monotone if there is a straight line L such that every line perpendicular to L intersects the chain at most once. Every nontrivial monotone polygonal
Polygonal_chain
Set-to-real map with diminishing returns
A submodular function that is not monotone is called non-monotone. In particular, a function is called non-monotone if it has the property that adding
Submodular_set_function
French artist (1928–1962)
art world. Between 1947 and 1948, Klein conceived his Monotone Symphony (1949, formally Monotone Silence Symphony) that consisted of a single 20-minute
Yves_Klein
Piece of minimalist music by Yves Klein
The Monotone-Silence Symphony (French: Symphonie Monoton-Silence) is a piece of minimalist music by the French artist Yves Klein. It consists of 20 minutes
Monotone-Silence_Symphony
In linear algebra, operator monotone functions are an important type of real-valued function, fully classified by Charles Löwner in 1934. They are closely
Operator_monotone_function
Statistical property
{\frac {\ f(x)\ }{g(x)}}\ } satisfies the monotone likelihood ratio property. In statistics, the monotone likelihood ratio property is a property of
Monotone_likelihood_ratio
Mathematical theorem
every real-valued function on the half-line [0, ∞) that is completely monotone is a mixture of exponential functions or in more abstract language, that
Bernstein's theorem on monotone functions
Bernstein's_theorem_on_monotone_functions
American comedian and actor (born 1979)
has been called a clean comedian, and has been noted for his deadpan, monotone delivery. Bargatze was the highest-grossing stand-up comic in 2024, with
Nate_Bargatze
Abstract data type in computer science
In computer science, a monotone priority queue is a variant of the priority queue abstract data type in which the priorities of extracted items are required
Monotone_priority_queue
A real square matrix A {\displaystyle A} is monotone (in the sense of Collatz) if for all real vectors v {\displaystyle v} , A v ≥ 0 {\displaystyle Av\geq
Monotone_matrix
Particular correspondence between two partially ordered sets
depending on whether we take monotone or antitone Galois connections). Let (A, ≤) and (B, ≤) be two partially ordered sets. A monotone Galois connection between
Galois_connection
Monotones is a one-act ballet in two parts choreographed by Frederick Ashton to music by Erik Satie. Monotones II was created first as a gala piece for
Monotones_(ballet)
In the mathematical subfield of numerical analysis, an I-spline is a monotone spline function. A family of I-spline functions of degree k with n free parameters
I-spline
incompatibility (help) Fasshauer, Greg (2010). "Chapter 5: Completely Monotone and Multiply Monotone Functions" (PDF). MATH 590: Meshfree Methods. Alam, Khursheed;
Absolutely and completely monotonic functions and sequences
Absolutely_and_completely_monotonic_functions_and_sequences
Model of computational complexity
{O}}(t(n))} . A monotone Boolean circuit is one that has only AND and OR gates, but no NOT gates. A monotone circuit can only compute a monotone Boolean function
Circuit_complexity
American fantasy comedy television series
2), a ghost who haunted Justin during his teenage years Amanda Tepe as Monotone Woman (season 2), a woman who held various jobs during the original series
Wizards_Beyond_Waverly_Place
Finite or infinite ordered list of elements
previous. If a sequence is either increasing or decreasing it is called a monotone sequence. This is a special case of the more general notion of a monotonic
Sequence
English actress (born 1990)
Watson oozes casual disdain. Her sticky American vocal fry is clipped and monotone, as if she's swallowed a Kardashian for breakfast." Watson also had a supporting
Emma_Watson
Concept in auction theory
r(v):={\frac {f(v)}{1-F(v)}}} Monotone-hazard-rate implies regularity, but the opposite is not true. The proof is simple: the monotone hazard rate implies − 1
Virtual_valuation
Monotone maps have countable discontinuities
the set of discontinuities of a monotone real-valued function of a real variable; all discontinuities of such a (monotone) function are necessarily jump
Discontinuities of monotone functions
Discontinuities_of_monotone_functions
Property of objects inherited by all their subobjects
property A is monotone if A or AC (the complement of A) is monotone. Some authors choose to resolve this by using the term increasing monotone for properties
Hereditary_property
American animated television series
Rodger Bumpass described his character Squidward as "a very nasally, monotone kind of guy." Bumpass found Squidward interesting due to his range of emotions
SpongeBob_SquarePants
essentially Italian way) of delivering verse, saying that its "monotone chant" [chant monotone] is not suitable for rendering diversity in emotion. Harris
Cantilena
American actress and director (born 1990)
said that "Stewart's habitual low-keyed style, which can border on the monotone, functions as effectively underplayed contrast." Peter Debruge of Variety
Kristen_Stewart
Family of problems in computational geometry
A (vertical) monotone chain is a path such that the y-coordinate never increases along the path. A simple polygon is (vertical) monotone if it is formed
Point_location
Economics term
are those represented by a Leontief utility function. If an agent has monotone preferences which means the marginal rate of substitution of the agent's
Monotone_preferences
Family of sans-serif fonts
Franklin, and Public Sans are all licensed under the SIL Open Font License. Monotone Gothic was designed by M. F. Benton for ATF in 1907. It is essentially
Franklin_Gothic
Partial order on matrices
usually employed to generalize the definitions of monotone and concave/convex scalar functions to monotone and concave/convex Hermitian valued functions.
Loewner_order
Combinatorial algorithm
finding the minimum value in each row of an implicitly defined totally monotone matrix. It is named after the initials of its five inventors, Peter Shor
SMAWK_algorithm
Boolean function
conjunction and disjunction as xy + yz + zx. For an arbitrary n there exists a monotone formula for majority of size O(n5.3). This is proved using probabilistic
Majority_function
to an integer would not necessarily produce a monotone function, however. To make the result monotone, Tardos approximates the Lovász number of the complement
Tardos_function
Wordless tone with closed mouth
A man producing a long monotone hum A woman humming a tune Problems playing these files? See media help. A hum (/hʌm/ ) is a sound made by producing a
Humming
2024 video game
called Felvidék. Its realistic, but low-resolution and heavily-dithered monotone graphics are styled after the fifth generation era of consoles. While Felvidek
Felvidek_(video_game)
Canadian and American musician (born 1945)
Chuck Berry, Hank Marvin, Little Richard, Fats Domino, The Chantels, The Monotones, Ronnie Self, the Fleetwoods, Jerry Lee Lewis, Johnny Cash, Roy Orbison
Neil_Young
Measure of quantum entanglement in quantum mechanics
PPT criterion for separability. It has been shown to be an entanglement monotone and hence a proper measure of entanglement. The negativity of a subsystem
Negativity (quantum mechanics)
Negativity_(quantum_mechanics)
2015 studio album by The Monotones
rock band, The Monotones, released on November 19, 2015. The album won the Best Rock Album at the 2016 Korean Music Awards. The Monotones began working
Into the Night (The Monotones album)
Into_the_Night_(The_Monotones_album)
Unsolved problem on graph query complexity
non-trivial monotone graph property. In this context, a property is monotone if it remains true when edges are added; for example, planarity is not monotone, but
Aanderaa–Karp–Rosenberg conjecture
Aanderaa–Karp–Rosenberg_conjecture
American heavy metal band
Kevin Forest Moreau of Shakingthrough.net said, "the guitars stumble in a monotone of mid-level, processed rattle; the drums don't propel as much as struggle
Metallica
Expression denoting a set of sets in formal semantics
*Every boy has any money. A GQ is said to be non-monotone if it is neither monotone increasing nor monotone decreasing. An example of such a GQ is exactly
Generalized_quantifier
Hitman character
entry in the series since its inception in 2000. The player controls 47, a monotone contract killer without empathy, as he travels around the world to execute
Agent_47
Sufficient criterion for uniform convergence
In the mathematical field of analysis, Dini's theorem says that if a monotone sequence of continuous functions converges pointwise on a compact space and
Dini's_theorem
Concept in Hlibert spaces mathematics
interval I ⊆ R {\displaystyle I\subseteq \mathbb {R} } is said to be operator monotone if for all n , {\displaystyle n,} and all A , B ∈ H n {\displaystyle A
Trace_inequality
President of the United States from 1929 to 1933
contend that his radio speeches were not received well in part due to his monotone, awkward delivery. In his campaign trips around the country, Hoover was
Herbert_Hoover
Property determining comparison and ordering
Informally, a measure has the property of being monotone in the sense that if A {\displaystyle A} is a subset of B , {\displaystyle B,} the measure of
Magnitude_(mathematics)
Phrase attributed to Timothy Leary
album recorded in 1966. On this album, Leary can be heard speaking in a monotone soft voice on his views about the world and humanity, describing nature
Turn_on,_tune_in,_drop_out
English actress (born 1973)
The Los Angeles Times remarked that she "finally manages to perfect the monotone delivery she'd been honing for the series' first two entries." The film
Kate_Beckinsale
concave function is quasiconcave, but the opposite is not true. Every monotone transformation of a quasiconcave function is also quasiconcave. For example
Concavification
Bounded sequence in finite-dimensional Euclidean space has a convergent subsequence
the lemma proven above, there exists a monotone subsequence, likewise also bounded. It follows from the monotone convergence theorem that this subsequence
Bolzano–Weierstrass_theorem
2026 EP by Yoasobi
Six singles preceded the EP: the English versions of "On the Stage", "Monotone", "Undead", "Players", "Watch Me!", and "New Me". Japanese duo Yoasobi
E-Side_4
South Korean rock band
The Monotones (Korean: 더 모노톤즈) is a South Korean rock band. The band formed in 2012 and disbanded in 2018. The band was formed by Cha Seung-woo, who was
The Monotones (South Korean band)
The_Monotones_(South_Korean_band)
the operations of set algebra, decidable languages include: Sets with monotone, additive, and multiplicative functions, but without quantifiers. Sets
Decidable sublanguages of set theory
Decidable_sublanguages_of_set_theory
2024 film by Alex Ross Perry
Alldayeveryday Vice Studios Matador Records Field Recordings LBI Entertainment Monotone Inc. Hipgnosis WW7 Entertainment Distributed by Utopia Release dates September 4
Pavements_(film)
Poem by Paul Verlaine
June 1944. The next set of lines, "Blessent mon coeur / d'une langueur / monotone" ("wound my heart with a monotonous languor"), meant that it would start
Chanson_d'automne
American actress (born 1974)
Variety, with critic Dave Rooney writing: "Rabe speaks in an affected monotone while Sarah Paulson has the measured, upward-inflected delivery of a children's
Sarah_Paulson
Generalization of mass, length, area and volume
Informally, a measure has the property of being monotone in the sense that if A {\displaystyle A} is a subset of B , {\displaystyle B,} the measure of
Measure_(mathematics)
Fictional cartoon dog
Squirrel, Droopy is deadpan, diminutive and hardly imposing, speaking a jowly monotone voice; his personality is a façade that hides his incredible strength and
Droopy
Cubic function used for interpolation
In numerical analysis, a cubic Hermite spline or cubic Hermite interpolator is a spline where each piece is a third-degree polynomial specified in Hermite
Cubic_Hermite_spline
American singer
described Cummings' vocal style on the album Tonight the Stars Revolt! as monotone chanting. Other descriptions of his style include the frequent "barks and
Spider_One
Property of topological spaces stronger than normality
normal space is a particular kind of normal space, defined in terms of a monotone normality operator. It satisfies some interesting properties; for example
Monotonically_normal_space
Indian statistician
Institutions Texas A&M University Thesis Bayesian Modeling Incorporating Unknown Monotone Functions Doctoral advisor Alan E. Gelfand Doctoral students Chris Holmes
Bani_K._Mallick
2024–2025 concert tour by Yoasobi
"Mr." (day 1) / "Suki da" (day 2) "Mō Sukoshi Dake" "Tabun" "New Me" "Monotone" "Yasashii Suisei" "Kaibutsu" "Yūsha" "Ano Yume o Nazotte" "Idol" "Heart
Chō-genjitsu_Asia_Tour
2024 single by Yoasobi
Sony Japan Songwriter Ayase Producer Ayase Yoasobi singles chronology "Monotone" (2024) "New Me" (2024) "Players" (2025) Music video "New Me" on YouTube
New_Me
Lemma in measure theory
each function on N {\displaystyle N} . Fatou's lemma does not require the monotone convergence theorem, but the latter can be used to provide a quick and
Fatou's_lemma
Deep blue pigment first mixed by the French artist Yves Klein
he made is the Anthropometrie. In the original performance of Klein's Monotone-Silence Symphony in 1960, three naked models on stage were painted with
International_Klein_Blue
Semantic or grammatical assertion of the truth
like exactly three students, nobody but John, and almost nobody are non-monotone (and thus not downward entailing) but nevertheless admit any: % Exactly
Veridicality
Minty–Browder theorem) states that a bounded, continuous, coercive and monotone function T from a real, separable reflexive Banach space X into its continuous
Browder–Minty_theorem
Theorem in order theory and lattice theory
: L → L {\displaystyle f:L\to L} be a Scott-continuous (and therefore monotone) function. Then f {\displaystyle f} has a least fixed point, which is the
Kleene_fixed-point_theorem
Function that maps matrices to matrices
matrix functions of Hermitian matrices. A function f is called operator monotone if and only if 0 ≺ A ⪯ H ⇒ f ( A ) ⪯ f ( H ) {\displaystyle 0\prec A\preceq
Analytic_function_of_a_matrix
Theorems concerning stochastic processes
theorem is a random variable analogue of the monotone convergence theorem, which states that any bounded monotone sequence converges. There are symmetric results
Doob's martingale convergence theorems
Doob's_martingale_convergence_theorems
Talking or chanting to an instrumental rhythm
the Anglo Caribbean) or deejaying is the act of talking, usually in a monotone melody, over a rhythm or beat by a deejay. It can either be improvised
Toasting_(Jamaican_music)
Romanian mathematician and academic
focuces on convex analysis, convex optimization, nonsmooth optimization, and monotone operators. His works have been published in academic journals such as SIAM
Radu_I._Boț
Illustrated compilation of fairy tales (1916)
book also contains 11 full-page color illustrations as well as smaller monotone illustrations created by Arthur Rackham. Folklore in the form of fairytales
The_Allies'_Fairy_Book
Concept in mathematics
sets. It refines the concept of a monotone function. If A, B are posets, a function f: A → B is defined to be monotone if it is order-preserving: that is
Residuated_mapping
Computer science problem
Mathematica, 2: 463–470. Steele, J. Michael (1995), "Variations on the monotone subsequence theme of Erdős and Szekeres", in Aldous, David; Diaconis, Persi;
Longest increasing subsequence
Longest_increasing_subsequence
Theorem in order and lattice theory
obtain various theorems on invariant sets, e.g. Ok's theorem: For the monotone map F : P(X ) → P(X ) on the family of (closed) nonempty subsets of X,
Knaster–Tarski_theorem
Branch of mathematics
of an order theoretic property for functions comes from analysis where monotone functions are frequently found. The earliest explicit mentionings of partial
Order_theory
2025 EP by Tim Hecker
Length 1. "Heaven Will Come" 4:48 2. "Morning (Piano Version)" 4:22 3. "Monotone 3" 4:18 4. "Ice Synth" 2:45 5. "Sars Requiem" 3:13 6. "Joyride Alternate"
Shards_(EP)
Numerical measure of a statistical relationship between variables
Lp space Parameter location scale shape Parametric family Likelihood (monotone) Location–scale family Exponential family Completeness Sufficiency Statistical
Correlation_coefficient
Method of mathematical integration
and when it is possible to take limits under the integral sign (via the monotone convergence theorem and dominated convergence theorem). While the Riemann
Lebesgue_integral
Preference ranking
following way: An ordinal utility function is unique up to increasing monotone transformation. In contrast, a cardinal utility function is unique up to
Ordinal_utility
Unsolved problem about inscribing a square in a Jordan curve
one of these rhombi is a square. Stromquist has proved that every local monotone plane simple curve admits an inscribed square. The condition for the admission
Inscribed_square_problem
American mathematician
orientable matriods. According to K.-C. Chang: The theory of monotone operators and pseudo-monotone operators attracted much attention in the 1960s and 70s
George_J._Minty
Combinatorial sequence of numbers
1897. The Dedekind number M ( n ) {\displaystyle M(n)} is the number of monotone Boolean functions of n {\displaystyle n} variables. Equivalently, it is
Dedekind_number
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