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Distribution concentrated on a set of measure zero
A singular distribution or singular continuous distribution is a probability distribution concentrated on a set of Lebesgue measure zero, for which the
Singular_distribution
Probability distribution in measure theory
{\displaystyle \delta _{0}(U)=0.} Example. A singular continuous measure. The Cantor distribution has a cumulative distribution function that is continuous but not
Singular_measure
Subbundle of the tangent bundle
{R} ,\mathbb {R} )} . A singular distribution, generalised distribution, or Stefan-Sussmann distribution, is a smooth distribution which is not regular.
Distribution (differential geometry)
Distribution_(differential_geometry)
Topics referred to by the same term
is not invertible Singular measure, a measure or probability distribution whose support has zero Lebesgue (or other) measure Singular cardinal, an infinite
Singular
Probability distribution
probability distribution, nor is it a mixture of these. Rather it is an example of a singular distribution. Its cumulative distribution function is continuous
Cantor_distribution
Mathematical function for the probability a given outcome occurs in an experiment
cumulative distribution function. Every absolutely continuous distribution is a continuous distribution but the inverse is not true, there exist singular distributions
Probability_distribution
Gender-neutral English pronoun
Singular they is a gender-neutral third-person pronoun in English. It typically occurs with an indeterminate antecedent, to refer to an unknown person
Singular_they
Japanese kaiju television series
rating of 5.1/10. Godzilla Singular Point won VFX-Japan Awards' 2022 "Excellence" and "Best" awards in the Television/Distribution Program Anime CG Category
Godzilla_Singular_Point
Generalization of gamma distribution to multiple dimensions
then the Wishart no longer has a density—instead it represents a singular distribution that takes values in a lower-dimension subspace of the space of
Wishart_distribution
Inputs for which a function's value is non-zero
interesting to study the singular support of a distribution. This has the intuitive interpretation as the set of points at which a distribution fails to be a smooth
Support_(mathematics)
Matrix decomposition
In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a scaling, followed
Singular_value_decomposition
Function with unusual fractal properties
can be used as the cumulative distribution function of a singular distribution on the unit interval. This distribution is symmetric about its midpoint
Minkowski's question-mark function
Minkowski's_question-mark_function
uniqueness if and only if there exists a distribution S supported on the set (so in particular it must be singular) such that lim n → ∞ S ^ ( n ) = 0 {\displaystyle
Set_of_uniqueness
Distribution of singular values of large rectangular random matrices
random matrices, the Marchenko–Pastur distribution, or Marchenko–Pastur law, describes the asymptotic behavior of singular values of large rectangular random
Marchenko–Pastur_distribution
Type of function
Mathematical singularity Generalized function Distribution Minkowski's question-mark function (**) This condition depends on the references "Singular function"
Singular_function
Functions in harmonic analysis mathematics
In mathematics, singular integrals are central to harmonic analysis and are intimately connected with the study of partial differential equations. Broadly
Singular_integral
American holdings company
Fiction. And all of those movies were being sold through just that singular distribution method. And Disney had affiliates, since it was part of a family
Filmyard_Holdings
Parameterization
The singular isothermal sphere (SIS) profile is the simplest parameterization of the spatial distribution of matter in an astronomical system (e.g. galaxies
Singular isothermal sphere profile
Singular_isothermal_sphere_profile
Probability distribution
and skewed distribution (in this example for s ∈ {n/4}) the Haldane prior can result in a reverse-J-shaped distribution with a singularity at the left
Beta_distribution
General relativity model near spacetime singularities
relativity has a page on the topic of: BKL singularity A Belinski–Khalatnikov–Lifshitz (BKL) singularity is a model of the dynamic evolution of the universe
BKL_singularity
Generalization of the one-dimensional normal distribution to higher dimensions
In the degenerate case where the covariance matrix is singular, the corresponding distribution has no density; see the section below for details. This
Multivariate normal distribution
Multivariate_normal_distribution
Probability distribution
In probability and statistics, the Dirichlet distribution (after Peter Gustav Lejeune Dirichlet), often denoted Dir ( α ) {\displaystyle \operatorname
Dirichlet_distribution
Film
Naked Singularity is a 2021 American black comedy crime thriller film, directed by Chase Palmer in his directorial debut, from a screenplay by Palmer
Naked_Singularity_(film)
Location around which a function displays irregular behavior
essential singularity of a function is a "severe" singularity near which the function exhibits striking behavior. The category essential singularity is a "left-over"
Essential_singularity
Smooth approximation of one-hot arg max
exponential function, converts a tuple of K real numbers into a probability distribution over K possible outcomes. It is a generalization of the logistic function
Softmax_function
Probability distribution
\gamma )} . The Cauchy distribution is a singular limit of a hyperbolic distribution[citation needed] The wrapped Cauchy distribution, taking values on a
Cauchy_distribution
Class of discontinuous functions
Singularity functions have been heavily studied in the field of mathematics under the alternative names of generalized functions and distribution theory
Singularity_function
Integral transform and linear operator
mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces another
Hilbert_transform
Probability distribution
a singular probability measure, but the term degenerate is typically used when the distribution arises as a limit of (non-degenerate) distributions. When
Degenerate_distribution
{\displaystyle X} is not locally connected, then every Gaussian distribution on X {\displaystyle X} is singular with respect to the Haar measure on X {\displaystyle
Gaussian distribution on a locally compact Abelian group
Gaussian_distribution_on_a_locally_compact_Abelian_group
Objects that generalize functions
define the product of a distribution with a smooth function, or more generally the product of two distributions whose singular supports are disjoint. With
Distribution (mathematical analysis)
Distribution_(mathematical_analysis)
West Germanic language
and singular, and are the only pronouns available for the plural. In the singular, the they/them series (sometimes with the addition of the singular-specific
English_language
clustering Singular distribution Singular spectrum analysis Sinusoidal model Sinkov statistic Size (statistics) Skellam distribution Skew normal distribution Skewness
List_of_statistics_articles
Process of word formation, by alteration to express grammatical categories
will lead', includes the suffix -am, expressing person (first), number (singular), and tense-mood (future indicative or present subjunctive). The use of
Inflection
Gravitational singularity of a rotating black hole
A ring singularity or ringularity is the gravitational singularity of a rotating black hole, or a Kerr black hole, that is shaped like a ring. When a
Ring_singularity
2012 film
The Singularity is a 2012 documentary film about the technological singularity, produced and directed by Doug Wolens. The film has been called "a large-scale
The_Singularity_(film)
Probability distribution on complex matrices
modulus-squared singular values of the ensemble G {\displaystyle \mathbf {G} } and the moduli of the latter have a quarter-circle distribution. In the case
Complex_Wishart_distribution
Use of grammar in a language to express number
more"). English and many other languages present number categories of singular or plural. Some languages also have a dual, trial and paucal number or
Grammatical_number
Techniques in mathematical analysis
whether a function or distribution is regular near x {\displaystyle x} . The information of position and covector in which a singularity occurs is encoded
Microlocal_analysis
propagation of singularities theorem (also called the Duistermaat–Hörmander theorem) is theorem which characterizes the wavefront set of the distributional solution
Propagation of singularities theorem
Propagation_of_singularities_theorem
Infinitesimal version of Lie groupoid
ρ ) ⊆ T M {\displaystyle \mathrm {Im} (\rho )\subseteq TM} is a singular distribution which is integrable, i.e. its admits maximal immersed submanifolds
Lie_algebroid
Method for assigning values to integrals
a singularity on an integral interval is avoided by limiting the integral interval to the non-singular domain. Depending on the type of singularity in
Cauchy_principal_value
Mathematical structure in differential geometry
the maximal integral submanifolds of the completely integrable singular distribution spanned by the Hamiltonian vector fields. Recall that any bivector
Poisson_manifold
Branch of the Kra–Dai language family
distinction and an animate/non-animate distinction in the third person non-singular." Below is comparative table of Tai languages. Many Southwestern Tai languages
Tai_languages
Word for deity or deities in the Hebrew Bible
to the concept of "divinity"), in the Hebrew Bible it most often takes singular verbal or pronominal agreement and refers to a single deity, particularly
Elohim
Theorem
theorem says that the ring homomorphism from the de Rham cohomology to the singular cohomology given by integration is an isomorphism. The Poincaré lemma implies
De_Rham_theorem
British science fiction drama film
August 2025. It was theatrically released in the United Kingdom by BFI Distribution on 24 April 2026. A Cornish fishing village is in a state of economic
Rose_of_Nevada
Probability distribution
Bodnar, T.; Mazur, S.; Podgórski, K. (January 2015). "Singular Inverse Wishart Distribution with Application to Portfolio Theory". Department of Statistics
Inverse-Wishart_distribution
Generalized version of the Akaike information criterion
information criterion (BIC) onto singular statistical models. WBIC is the average log likelihood function over the posterior distribution with the inverse temperature
Watanabe–Akaike information criterion
Watanabe–Akaike_information_criterion
Natural number
Arabic numeral. Linguistically, in English, "one" is a determiner for singular nouns and a gender-neutral pronoun. In mathematics, 1 is the multiplicative
1
West Germanic language
example: Masculine singular: "des duivels" (lit: "of the devil") (common proverbial meaning: Seething with rage) Feminine singular: "het woordenboek der
Dutch_language
Notion in statistics
random phenomenon, then it naturally becomes singular. The FIM for a N-variate multivariate normal distribution, X ∼ N ( μ ( θ ) , Σ ( θ ) ) {\displaystyle
Fisher_information
Noncommutative geometric structure
mathematics, a singular trace is a trace on a space of linear operators of a separable Hilbert space that vanishes on operators of finite rank. Singular traces
Singular_trace
Mathematical concept
mathematics, singular integral operators of convolution type are the singular integral operators that arise on Rn and Tn through convolution by distributions; equivalently
Singular integral operators of convolution type
Singular_integral_operators_of_convolution_type
Cosmological model in which the observable universe is the interior of a black hole
a white hole. Rather than a Big Bang starting from a singularity, there is instead a non-singular Big Bounce, at which the Universe had a non-zero, minimum
Black_hole_cosmology
Inuit language spoken in Greenland
one exception). When the object is 1st or 2nd person singular, the forms with a 3rd person singular subject are turned into forms with a (3rd person) plural
Greenlandic_language
Experimental operating system from Microsoft Research
Singularity is an experimental operating system developed by Microsoft Research between July 9, 2003, and February 7, 2015. It was designed as a high
Singularity (operating system)
Singularity_(operating_system)
Frequency and point values in the board game
word board game Scrabble in different languages have differing letter distributions of the tiles, because the frequency of each letter of the alphabet is
Scrabble_letter_distributions
Uralic language
imperative second-person singular as their stem are subject to the same stem changes as the imperative – see imperative second-person singular. Bold letters are
Mari_language
Determiner which modifies a noun by attributing possession
modify, as in the French mon, ma, mes, respectively the masculine singular, feminine singular and plural forms corresponding to the English my. Possessive
Possessive_determiner
Type of singularity analysis
projection on X is equal to the singular support of the function. In Euclidean space, the wave front set of a distribution ƒ is defined as W F ( f ) = {
Wave_front_set
How often each letter appears in written language
(non-lemma forms) because it is added to form plurals and third person singular present tense verbs. A final method is to count letters based on their
Letter_frequency
Masovian dialect of Polish
first person plural is to distinguish it from the first person singular. The distribution of å||a in past tense forms is identical to that found in class
Kurpie_dialect
equation is a dimensionless form of the Poisson equation for the density distribution of a spherically symmetric isothermal gas sphere subjected to its own
Emden–Chandrasekhar_equation
Objects extending the notion of functions
t h {\displaystyle F_{\rm {smooth}}} and its singular F s i n g u l a r {\displaystyle F_{\rm {singular}}} parts. The product of generalized functions
Generalized_function
Language family of the Andes in South America
"we". Quechua also adds the suffix -kuna to the second and third person singular pronouns qam and pay to create the plural forms, qam-kuna and pay-kuna
Quechuan_languages
Special point in the density of states of a crystal
In condensed matter physics, a Van Hove singularity is a singularity (non-smooth point) in the density of states (DOS) of a crystalline solid. The wavevectors
Van_Hove_singularity
Matrix-valued random variable
which some or all of its entries are sampled randomly from a probability distribution. Random matrix theory (RMT) is the study of properties of random matrices
Random_matrix
Khoe language spoken in southern Africa
feminine/di-class and neuter/n-class) and three grammatical numbers (singular, dual and plural). Pronominal enclitics are used to mark person, gender
Khoekhoe_language
Romance language
pronouns are inflected for number (singular or plural, though in most nouns the plural is pronounced the same as the singular even if spelled differently);
French_language
Language family of Northeastern Europe
include grammatical case suffixes, verb tempus, mood and person markers (singular and plural, the Finnic languages do not have dual) as well as participles
Finnic_languages
Economic philosophy centered on common ownership of land
economic efficiency with social justice. Georgism is concerned with the distribution of economic rent caused by land ownership, natural monopolies, pollution
Georgism
Ancient Indo-European language of the Hittite Empire
(nominative singular animate), kwin (accusative singular animate), kwinzi (nominative/accusative plural animate), kwati (ablative/instrumental singular), kwanza
Luwian_language
A contrastive distribution is demonstrated with a minimal pair. Contrastive distribution is distinct from complementary distribution (where different
Contrastive_distribution
Generalized function whose value is zero everywhere except at zero
the Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Extinct language of southern Italy
nominative singular of masculines features the syncope of *-os to -s, leading to further phonetic and orthographic consequences. The genitive singular -eís
Oscan_language
cases where covariance matrices are singular. In particular, the normalization for a multivariate normal distribution with a covariance matrix Σ that is
Pseudo-determinant
Country in Central Europe
the Czech Republic has been divided into thirteen regions (Czech: kraje, singular kraj) and the capital city of Prague. Every region has its own elected
Czech_Republic
Sotho-Tswana language spoken in South Africa
Amogela (verb) Good day Dumela (singular) / Dumelang (plural) / Thobela and Re a lotšha (to elders) How are you? O kae? (singular) Le kae? (plural, also used
Northern_Sotho
Remains left by an arthropod molting
is a derived singular form, although this is a neologism, and not attested in texts by Roman authors. A few modern works use the singular noun exuvium
Exuviae
Division of mathematical analysis
size, refining the Picard theorem on behaviour close to an essential singularity. The theory exists for analytic functions (and meromorphic functions)
Value distribution theory of holomorphic functions
Value_distribution_theory_of_holomorphic_functions
Dravidian language
and with the neuter singular (-di). What characterises the three-gender system is then the individual behaviour of the singular-plural pairs of suffixes
Telugu_language
Type of singular integral operator
type of singular integral operator, meaning that they are given by a convolution of one function with another function having a singularity at the origin
Riesz_transform
Theorem
most an observation, it shows how the distribution theory adds to the scope. Integral operators are not so 'singular'; another way to put it is that for
Schwartz_kernel_theorem
2025 film by Ryan Coogler
January 2024, and after a bidding war, Warner Bros. Pictures acquired distribution rights the following month. Additional roles were cast in April. Principal
Sinners_(2025_film)
have singularities on the singular elements of the group; the regularity theorem implies that these singularities are not too severe. A distribution on
Harish-Chandra's regularity theorem
Harish-Chandra's_regularity_theorem
Romance language
pronouns of the third person singular. Examples: Nouns, adjectives, and articles inflect for gender and number (singular and plural). Like in English
Italian_language
Aspect of the Irish language
declensions, each with four cases (nominative, vocative, genitive, dative), and singular and plural forms. There are four classes of declension of adjectives in
Irish_declension
contains exclusively Gaulish names, although it shows that Latinized genitive singular ending -i. Another inscription reading Frontu Tarbetis[o]nios contains
Dialects_of_Latin
Most widely spoken of all Sámi languages
in the stem, where the strong grade appears in the nominative singular, illative singular and essive, while the weak grade appears in the remaining forms
Northern_Sámi
Mathematical statistics distance measure
have two multivariate normal distributions, with means μ 0 , μ 1 {\displaystyle \mu _{0},\mu _{1}} and with (non-singular) covariance matrices Σ 0 , Σ
Kullback–Leibler_divergence
2024 film by Jacques Audiard
the film, calling it "bold" and "daring". Emily Blunt called the film "a singular experience". Meryl Streep praised the film and Gomez's performance, describing
Emilia_Pérez
In numerical analysis, the singular boundary method (SBM) belongs to a family of meshless boundary collocation techniques which include the method of fundamental
Singular_boundary_method
Romance language
grammar. Nouns have two genders (masculine, feminine), and two numbers (singular, plural). Pronouns additionally can have a neuter gender, and some are
Catalan_language
Topics referred to by the same term
Airlines (IATA code) Island Airlines (IATA code) Is, the third-person singular present tense of the English language verb "to be", frequently used as
IS
Probability distribution
Laplace distributions are extensions of the Laplace distribution and the asymmetric Laplace distribution to multiple variables. The marginal distributions of
Multivariate Laplace distribution
Multivariate_Laplace_distribution
Early form of the Frisian language
hōve (dative singular of 'hoof'), with a long first vowel, could be distinguished from its short vowel counterpart hovi (dative singular of 'court, courtyard')
Old_Frisian
Group of languages
from the above allophonic fricatives. Replacement of the second-person singular preterite ending -t with -ī (indicative and subjunctive mood). For more
West_Germanic_languages
Administrative divisions of the Czech Republic
Regions of the Czech Republic (Czech: kraje [ˈkrajɛ]; singular kraj [kraj] ) are higher-level territorial self-governing units of the Czech Republic. The
Regions_of_the_Czech_Republic
Ethio-Semitic language
between singular (I) and plural (we), whereas for second and third persons, there is a distinction between singular and plural and within the singular a further
Amharic
SINGULAR DISTRIBUTION
SINGULAR DISTRIBUTION
Girl/Female
Muslim
Unique, Singular, Exclusive
Girl/Female
Muslim
Unique, Singular, Exclusive
Girl/Female
Muslim
Unique, Singular, Exclusive
Girl/Female
Arabic, Muslim
Present; Gift; Singular of Nihel
Girl/Female
Arabic, Gujarati, Indian, Kannada, Kashmiri, Muslim, Sindhi
Unique; Singular; Sole; Exclusive
Girl/Female
Celtic
Mythical daughter of Lyr.
Girl/Female
Indian
Unique, Singular
Girl/Female
Indian
Unique, Singular, Exclusive
Girl/Female
Arabic, Muslim
Wish; Desire; Purpose; Use; Aim; Singular of Marib
Girl/Female
Arabic, Muslim
Unique; Singular; Single
Biblical
lot, singular of Purim (lots, as in Cleromancy [casting of lots])
Girl/Female
Muslim
Unique, Singular
Surname or Lastname
English
English : from Middle English sengler, syngler ‘singular’ (Old French se(i)ngler), perhaps a nickname for a solitary person.German : topographic name for a valley dweller, from a diminutive of Middle High German senke ‘valley’ + the suffix -er, denoting an inhabitant.German : habitational name for someone from Singeln near Waldshut.German : variant of Sing 1.
Girl/Female
Arabic, Muslim
Unique; Singular
Girl/Female
Arabic, Muslim
Singular; Unparalleled; Alone; Unique
Girl/Female
Indian
Unique, Singular, Exclusive
Girl/Female
Arabic, Muslim
Present; Gift; Singular of Nihel
Boy/Male
Afghan, Arabic, Danish, French, Kashmiri, Muslim, Pashtun, Sindhi
Singular; Unique; Alone; Exclusively; Unequalled; Exceptional; Peerless
Boy/Male
Muslim/Islamic
Singular exclusive, unequalled
Girl/Female
Indian
Unique, Singular, Exclusive
SINGULAR DISTRIBUTION
SINGULAR DISTRIBUTION
Girl/Female
American, Australian
People
Boy/Male
Indian, Punjabi, Sikh
Intelligent and Brave
Male
Slovene
Slovene form of Greek Kyrillos, CIRIL means "lord."
Boy/Male
American, Australian, British, Christian, English, Irish
Variant of Irving; Green Water; Boar Friend; Green River
Girl/Female
American, Australian, British, Danish, English, French, German, Greek, Irish, Swedish
Shining Light; Light; The Light of the Sun from Eleanor and Variation of Helen; Sun Ray; Stone; Champion; Horn; Torch; Moon; Moon Elope
Surname or Lastname
English
English : patronymic or metronymic from Babb.
Boy/Male
Muslim
Useful, Helpful
Surname or Lastname
English
English : variant of Brownlee.
Girl/Female
English American
Place name; a London district.
Boy/Male
Muslim
SINGULAR DISTRIBUTION
SINGULAR DISTRIBUTION
SINGULAR DISTRIBUTION
SINGULAR DISTRIBUTION
SINGULAR DISTRIBUTION
adv.
So as to express one, or the singular number.
a.
Relating to an angle or to angles; having an angle or angles; forming an angle or corner; sharp-cornered; pointed; as, an angular figure.
n.
Singular; wonderful; extraordinary.
n.
An individual instance; a particular.
adv.
In a singular manner; in a manner, or to a degree, not common to others; extraordinarily; as, to be singularly exact in one's statements; singularly considerate of others.
a.
Distinguished as existing in a very high degree; rarely equaled; eminent; extraordinary; exceptional; as, a man of singular gravity or attainments.
a.
Being alone; belonging to, or being, that of which there is but one; unique.
adv.
Strangely; oddly; as, to behave singularly.
a.
Fig.: Lean; lank; raw-boned; ungraceful; sharp and stiff in character; as, remarkably angular in his habits and appearance; an angular female.
n.
Anything singular, rare, or curious.
n.
See Kickshaws, the correct singular.
a.
Rather queer; somewhat singular.
a.
Standing by itself; out of the ordinary course; unusual; uncommon; strange; as, a singular phenomenon.
a.
Each; individual; as, to convey several parcels of land, all and singular.
a.
Measured by an angle; as, angular distance.
a.
Denoting one person or thing; as, the singular number; -- opposed to dual and plural.
n.
The singular number, or the number denoting one person or thing; a word in the singular number.
n.
Any one of numerous species of brachiopod shells belonging to the genus Lingula, and related genera. See Brachiopoda, and Illustration in Appendix.
a.
Of or pertaining to the people of an island; narrow; circumscribed; illiberal; contracted; as, insular habits, opinions, or prejudices.
a.
Of or pertaining to an island; of the nature, or possessing the characteristics, of an island; as, an insular climate, fauna, etc.