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Property of functions which is weaker than continuity
analysis, semicontinuity (or semi-continuity) is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function
Semi-continuity
Mathematical function with no sudden changes
form of continuity is uniform continuity. In order theory, especially in domain theory, a related concept of continuity is Scott continuity. As a practical
Continuous_function
Method for constructing existence proofs and calculating solutions in variational calculus
this property is sometimes called coercive. Showing sequential lower semi-continuity is usually the most difficult part when applying the direct method
Direct method in the calculus of variations
Direct_method_in_the_calculus_of_variations
Strong form of uniform continuity
mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions. Intuitively
Lipschitz_continuity
Continuous real function on a closed interval has a maximum and a minimum
{\displaystyle M} and completes the proof. ∎ If the continuity of the function f is weakened to semi-continuity, then the corresponding half of the boundedness
Extreme_value_theorem
2007 crossover comic series
in the regular Marvel continuity between the first two-story arcs of New Avengers, and it is currently held as semi-continuity for IDW, which entails
New_Avengers/Transformers
Generalisation of convexity
certain growth condition of the integrand, the sequential weakly lower semi-continuity (swlsc) of an integral functional in an appropriate Sobolev space is
Quasiconvexity (calculus of variations)
Quasiconvexity_(calculus_of_variations)
Descent of modern Assyrians from ancient Assyrians
The Assyrian continuity thesis is the idea that the modern Assyrians are to be culturally and historically identified with, and are the direct descendants
Assyrian_continuity
countable. ld – binary logarithm (log2). (Also written as lb.) lsc – lower semi-continuity. lerp – linear interpolation. lg – common logarithm (log10) or binary
List of mathematical abbreviations
List_of_mathematical_abbreviations
authors differ on whether "semi-continuity" or "hemi-continuity" is the preferred language for Vietoris-Berge continuity concepts. Beer, Gerald (1993)
Kuratowski_convergence
Bounds of a sequence
neighborhood filter). This version is often useful in discussions of semi-continuity which crop up in analysis quite often. An interesting note is that
Limit inferior and limit superior
Limit_inferior_and_limit_superior
type due to simplicity of implementation. Integer-valued polynomial Semi-continuity Rank (disambiguation)#Mathematics Grade (disambiguation)#In mathematics
Integer-valued_function
Territory surrounded by another state
Turkey. Semi-enclaves and semi-exclaves are areas that, except for possessing an unsurrounded sea border, would otherwise be enclaves or exclaves. Semi-enclaves
Enclave_and_exclave
Solution to a specific type of stochastic differential equation
{E} ^{x}[f(X_{t})].} Lower semi-continuity: if f is lower semi-continuous, then u is lower semi-continuous. Feller continuity: if f is bounded and continuous
Itô_diffusion
Method of estimating the parameters of a statistical model, given observations
\;C^{0}(\Theta )\;{\Bigr ]}=1.} The continuity here can be replaced with a slightly weaker condition of upper semi-continuity. Dominance: there exists D(x)
Maximum_likelihood_estimation
Type of function in complex analysis
sequence can be chosen uniformly convergent. The inequality in the usual semi-continuity condition holds as equality, i.e. if f {\displaystyle f} is plurisubharmonic
Plurisubharmonic_function
Form of government
function is to embody the national character and provide constitutional continuity in times of emergency was reflected in the development of constitutional
Constitutional_monarchy
Smallest convex set containing a given set
Pseudo- Quasi-) Convex function Invex function Legendre transformation Semi-continuity Subderivative Main results (list) Carathéodory's theorem Ekeland's
Convex_hull
Theorem in functional analysis
step often requires F {\displaystyle F} to obey a (sequential) lower semi-continuity property in the weak* topology. When X ′ {\displaystyle X^{\prime }}
Banach–Alaoglu_theorem
Ukrainian mathematician (born 1944)
Cohen–Macaulay modules. His joint work with G.-M. Greuel investigated the semi-continuity and trichotomy of representation types for curve singularities, which
Yuriy_Drozd
conditions Lagrange multiplier Lagrange multipliers on Banach spaces Semi-continuity Complementarity theory — study of problems with constraints of the
List of numerical analysis topics
List_of_numerical_analysis_topics
Degree of differentiability of a function or map
condition is stronger than ordinary continuity. When α = 1 {\displaystyle \alpha =1} , it implies the Lipschitz continuity of the k-th derivative, which is
Smoothness
of a function Uniform continuity Modulus of continuity Lipschitz continuity Semi-continuity Equicontinuous Absolute continuity Hölder condition – condition
List_of_real_analysis_topics
South Korean mathematician (born 1957)
Forelli's theorem. Math. Ann. 355 (2013), no. 3, 1171–1176. Kim, Kang-Tae Semi-continuity theorems for holomorphic automorphism groups. Proceedings of the 15th
Kang-Tae_Kim
Region with boundary of finite measure
stated (and demonstrated) property of this functional was its lower semi-continuity. In the paper (Caccioppoli 1928), he precised by using a triangular
Caccioppoli_set
Swiss mathematician
Catholique de Louvain (Belgium) is attributed to him. Weak continuity and weak lower semi-continuity of non linear functionals; Lecture Notes in Math. Springer-Verlag
Bernard_Dacorogna
Fictional character appearing in Marvel Comics
leaves the GwenHive to enter combat with the Hulk while she dives into continuity, leading to the death of the Gwen from Champions. Gwen returns, having
Gwenpool
French weather presenter and former continuity announcer (born 1948)
Dhéliat (born 19 April 1948) is a French weather presenter and former continuity announcer. Évelyne Dhéliat was born in Cologne. Her father was a commercial
Évelyne_Dhéliat
Order of assuming powers of US presidency
Continuity of Congress: The First Report of the Continuity of Government Commission" (PDF). Preserving Our Institutions. Washington, D.C.: Continuity
United States presidential line of succession
United_States_presidential_line_of_succession
Superhero media franchise
continuity and story across live-action films and television, animation, and video games. Concurrent DC adaptations that do not fit this continuity are
DC_Universe_(franchise)
Property of a mathematical function
In calculus, the notions of one-sided differentiability and semi-differentiability of a real-valued function f of a real variable are weaker than differentiability
Semi-differentiability
Mathematical property of algebraic structures
In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some
Archimedean_property
half-brother of Tara Markov / Terra. Etrigan the Demon In post-Crisis continuity, Etrigan is depicted as a prince of Hell and the son of the Archduke Belial
List_of_fictional_princes
French mathematician (1957–2022)
ISBN 978-3-540-22533-1, MR 2095471 Demailly, Jean-Pierre; Kollár, János (2001). "Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano
Jean-Pierre_Demailly
Transformers character
by transforming into vehicles or weapons. His original name, in some continuities, is D-16, and he sometimes takes a form with the name Galvatron. The
Megatron
2004 caper novel by Carl Hiaasen
request, and wants to see the pelicans migrating. Chaz is picked up by the semi-deranged Vietnam veteran. In response to Chaz's limp inquiry about what happens
Skinny_Dip_(novel)
Length in a vector space
all norms are equivalent. Equivalent norms define the same notions of continuity and convergence and for many purposes do not need to be distinguished
Norm_(mathematics)
1993 novel by Patrick O'Brian
talkative nature a risk ashore to his mission. Aboard ship, Dutourd is allowed semi-free access and his utopian talk appeals to some of the seamen. Surprise
The_Wine-Dark_Sea
Marxist term for a country dominated by another
Mommsen, Imperialism and after: continuities and discontinuities. London: Allen & Unwin, 1986, pp. 290-314; Nicholas Zeller, "Semi-colonialism in China". in:
Semi-colony
Upcoming Marvel Studios film
2025). "How The Punisher's Spider-Man: Brand New Day Role Affects MCU Continuity Of 2026 Disney+ Special Explained By Jon Bernthal". Screen Rant. Archived
Spider-Man:_Brand_New_Day
American science fiction franchise
periods, both of which are "in the past" with respect to the Season 4 continuity. The "present day" framing scenes are set during Lee Adama's command of
Battlestar_Galactica
Paradigm in machine learning
Weak supervision (also known as semi-supervised learning) is a paradigm in machine learning, the relevance and notability of which increased with the advent
Weak_supervision
Change in the heritable traits of populations
Evolution is the change in the heritable characteristics of biological populations over successive generations. It occurs when evolutionary processes such
Evolution
American superhero media franchise
oversaw the committee. Feige initially referred to the shared narrative continuity of the films as the "Marvel Cinema Universe", but later used the term
Marvel_Cinematic_Universe
Transformers character
Optimus Prime's truck form was likely based on the 1980 Freightliner FL86 semi-truck. The trailer carried by the toy in truck mode is able transform into
Optimus_Prime
Japanese–American media franchise
again separate from previous continuities. The 2024 animated film, Transformers One, once again takes place in a new continuity. Although a separate and competing
Transformers
View that the Indo-Aryans are indigenous to India
Questioning the methodology of linguistics; Arguing for an indigenous cultural continuity, arguing there is a lack of archaeological remains of the Indo-Aryans
Indigenous_Aryanism
American social networking service
third-party Twitter clients. The new layout was revised in 2011 with a focus on continuity with the web and mobile versions, introducing "Connect" (interactions
X_(social_network)
1994 American film
film makes the first appearance of Detectives Lutz and Garner, who become semi-regulars in the series. However, after this movie Lutz is played by a female
Witchcraft VI: The Devil's Mistress
Witchcraft_VI:_The_Devil's_Mistress
a series of legislative efforts that "disclose[] the . . . antiquity, continuity, and durability" of rehabilitative incarceration ideology in Anglo-American
History of United States prison systems
History_of_United_States_prison_systems
1980, pp. 616–617. Durand, J.; Massey, D. S. (2010). "New World Orders: Continuities and Changes in Latin American Migration". The Annals of the American
Venezuela
Book by Sheldon Wolin
Politics and Vision: Continuity and Innovation in Western Political Thought is a work of political theory by Princeton Emeritus Professor Sheldon S. Wolin
Politics_and_Vision
Hoax fictional character
animated sitcom The Simpsons, having been removed through retroactive continuity. The intent behind the meme includes satirizing the Mandela effect and
Graggle_Simpson
2001 terror attacks in the U.S.
received from the families of those killed. Contingency plans for the continuity of government and the evacuation of leaders were implemented soon after
September_11_attacks
Colombian singer-songwriter (born 1977)
cumbia and utilizes a sample by Jerry Rivera. "Don't Bother" represents continuity of Shakira's work with guitar rock, while "Illegal" brings collaboration
Shakira
Soviet 7.62×39mm assault rifle
Survey: 1–2. Archived from the original (PDF) on 24 September 2015. "Continuity and Change: Products And Producers" (PDF). Small Arms Survey. 2004. Archived
AK-47
Westernmost region of the African continent
rather than more frequent rainfall, or similarly other works underline the continuity of the drought even though the rainfall has increased. Since 1985, 54
West_Africa
2021–present reorganization of forces
Command's nuclear command, control, and communications. JADC2 is to ensure continuity of commander's intent. The concept was exercised September 2020. Integrated
Transformation of the United States Army
Transformation_of_the_United_States_Army
powers and more to his concealing his identity behind a mask; in this continuity, his wife was killed by a masked gunman. He also portrays his integrity
List of Spider-Man: The Animated Series characters
List_of_Spider-Man:_The_Animated_Series_characters
Ville, de Gaulle was greeted by a jubilant crowd and, proclaiming the continuity of the Third Republic, delivered a famous proclamation; Paris! Paris outraged
Charles de Gaulle during World War II
Charles_de_Gaulle_during_World_War_II
comparison. Other factors included that the church retained cultural continuity with Christianity by stressing that it was Christian and adopting its
History of the Christian Science movement
History_of_the_Christian_Science_movement
Archipelagic country in Southeast Asia
Retrieved October 18, 2015. Timberman, David G. (1991). A Changeless Land: Continuity and Change in Philippine Politics. Armonk, N.Y.: M.E. Sharpe. ISBN 978-981-3035-86-7
Philippines
1996 video game
species that the Eternal Ones would not consume. The Precursors also created semi-sentient robots, the Daktaklakpak, to reverse this process after the Eternal
Star_Control_3
is also a European Citizens' Initiative that aims at guaranteeing the continuity of rights and obligations of the European citizens belonging to a new
Member state of the European Union
Member_state_of_the_European_Union
Swiss football administrator (born 1970)
February 2016). "In FIFA Pitch, Gianni Infantino Pushes Expansion and Continuity". The New York Times. ISSN 0362-4331. Retrieved 26 February 2016. "Thirteen
Gianni_Infantino
Country in South America
ISBN 978-0-8223-3273-2. David Ward (2007). Television and Public Policy: Change and Continuity in an Era of Global Liberalization. Routledge. p. 28. ISBN 978-0-203-87728-9
Brazil
surrounded by the other's land or territorial waters. They can exhibit continuity of state territory across territorial waters but, nevertheless, a discontinuity
List_of_enclaves_and_exclaves
2025). "DepEd revives DepEd TV to stem learning loss, boost education continuity". GMA News Online. Retrieved December 9, 2025. Anzures, Rom (December
2025_in_Philippine_television
2024 film directed by Jeff Fowler
work across these six studios. Fowler emphasized the need for visual continuity between the projects and cited communication as critical to this mandate
Sonic_the_Hedgehog_3_(film)
Country in Southern and Western Europe
of their historical community), facilitates the orderly operation and continuity of the Spanish government, defends representative democracy, and upholds
Spain
British television channel
regular trailers in between shows, and when a certain show finishes, the continuity announcer will usually tell viewers what is coming up next on both channels
Sky_Mix
Curve from a cone intersecting a plane
Johannes Kepler extended the theory of conics through the "principle of continuity", a precursor to the concept of limits. Kepler first used the term 'foci'
Conic_section
American animated television series
Titans Go! serves as a comedic standalone spin-off with little to no continuity to the original Teen Titans series (although some references are included
Teen_Titans_Go!
American animation media franchise
all sharing the same continuity. The reboot series, also titled Ben 10, was released from 2016 until 2021, set in a new continuity, with a 44-minute finale
Ben_10
Spanish footballer (born 2007)
su continuidad en el Juvenil del FC Barcelona" [Pau Cubarsí signs his continuity in the Juvenil of FC Barcelona]. sport.es (in Spanish). 8 July 2023. Retrieved
Pau_Cubarsí
Roman name of today's city of Mainz, Germany
the case of the latter church, this is relatively certain due to the continuity of gravestones with Roman and Germanic names. Research into the Roman
Mogontiacum
Country in West Asia
David B. (18 April 2023). Security Politics in the Gulf Monarchies: Continuity Amid Change. Columbia University Press. ISBN 9780231555913. "Largest modern
Saudi_Arabia
Largest city in Texas, United States
Ebaugh, Helen Rose (October 18, 2000). Religion and the New Immigrants: Continuities and Adaptations in Immigrant Congregations. AltaMira Press. p. 193. ISBN 978-0759117129
Houston
Marvel Comics character
the MCU nor have any relation to Spider-Man; it would be set in its own continuity. A year later, Sony announced that Venom would be released on October
Venom_(character)
Island country in Southeast Asia
5 July 2015. Pierre-Yves Manguin, "From Funan to Sriwijaya: Cultural continuities and discontinuities in the Early Historical maritime states of Southeast
Singapore
Differentiable manifold with nondegenerate metric tensor
In mathematical physics, a pseudo-Riemannian manifold, also called a semi-Riemannian manifold, is a differentiable manifold with a metric tensor that is
Pseudo-Riemannian_manifold
then it also holds between A and C, ensuring a kind of consistency or continuity in the relation across elements. translation A translation is a function
Glossary_of_logic
P. Clawson (2006). "Foreign Relations Under Khatami". Eternal Iran: Continuity and Chaos. Palgrave Macmillan. ISBN 978-1403962768. "Implementation of
History of the nuclear program of Iran
History_of_the_nuclear_program_of_Iran
Magnus Chase and the Gods of Asgard (2015–2017) takes place in the same continuity and features a cousin of one of the protagonists of the two. The series
List_of_media_spin-offs
Country in Central Asia
forest ecosystems, water‑resource management, business and financial continuity planning, and disaster communication. Uzbekistan also lacks an overarching
Uzbekistan
Type of woodland in the United Kingdom
Sequences of pollen analysis can also serve as indicators of forest continuity. Lists of ancient woodland indicator species among vascular plants were
Ancient_woodland
Head of the Catholic Church since 2025
Ann (June 9, 2025). "At one month, Pope Leo XIV employs unique style of continuity, balance". Crux. Archived from the original on June 10, 2025. Retrieved
Pope_Leo_XIV
taxonomy and phylogeography of Colomys and Nilopegamys (Rodentia: Murinae), semi-aquatic mice of Africa, with descriptions of two new species". Zool. J. Linn
List of organisms named after famous people (born 1925–1949)
List_of_organisms_named_after_famous_people_(born_1925–1949)
Country in Eurasia from 1922 to 1991
Sovietization – Adoption of Soviet political system and mentality Succession, continuity and legacy of the Soviet Union De facto, legally since 1990. Constituent
Soviet_Union
Accommodation facility for detainees disappeared during the Dirty War
or to prosecution by military tribunals and prison sentences. Freedom. Continuity as a detainee-disappeared for various reasons (as slaves, collaborators
Clandestine detention center (Argentina)
Clandestine_detention_center_(Argentina)
Concept in game theory
games. Unlike standard continuity, which requires small changes in inputs to produce small changes in outputs, graph continuity permits certain well-behaved
Graph_continuous_function
London. Retrieved 16 July 2019. ""City's civic leadership to provide continuity through COVID-19 pandemic"". Worshipful Company of Farmers. 17 April 2020
List of sheriffs of the City of London
List_of_sheriffs_of_the_City_of_London
Copper mine in Australia
operated continuously. That necessitated a large workforce and operational continuity. Workforce relations did not get off to a good start while Kendall was
Great_Cobar_mine
compact set, then the metric projection pM is upper semi-continuous, but might not be lower semi-continuous. But if X is a normed space and M is a finite-dimensional
Metric_projection
DC Comics superhero
was released semi-monthly with writer Greg Rucka. This fifth volume of Wonder Woman is part of the "DC Universe", the current continuity established after
Wonder_Woman
Season of the American television series
each season acting as a self-contained story within the show's shared continuity. Set in the fall of 2019, Year 5 follows Dorothy "Dot" Lyon, a seemingly
Fargo_season_5
Ninth story arc of JoJo's Bizarre Adventure
and illustrated by Hirohiko Araki. It takes place within the rebooted continuity depicted in Steel Ball Run (2004–2011) and JoJolion (2011–2021). Set in
The_JoJoLands
(Lower Cretaceous, Cabo Espichel): Paleobiological and Paleoenvironmental Continuities and Discontinuities". Fossil Studies. 3 (4) 18. doi:10.3390/fossils3040018
2025 in archosaur paleontology
2025_in_archosaur_paleontology
Season of television series
State quarter-finals Buckley Bisons Win 16–13 7–1 10 "The Giving Tree" State semi-finals West Cambria Mustangs Win 15–14 8–1 11 "A Hard Rain's Gonna Fall"
Friday_Night_Lights_season_3
Legal continuity of Estonia, Latvia, and Lithuania
between the USSR and the three Baltic countries in particular. This legal continuity has been recognised by most Western powers and is reflected in their state
State continuity of the Baltic states
State_continuity_of_the_Baltic_states
SEMI CONTINUITY
SEMI CONTINUITY
Male
Finnish
Finnish pet form of Greek Sebastianos, SEPI means "from Sebaste," a town in Asia Minor.Â
Girl/Female
American, Gujarati, Indian, Japanese
The Hokan Language of the Seri
Girl/Female
Hindu
Oarsman
Male
Hungarian
 Pet form of Hungarian Sámuel, SAMI means "heard of God," "his name is El," or "name of God." Compare with another form of Sami.
Boy/Male
Finnish, German
God will Increase
Girl/Female
English American
Abbreviation of Demetria - the mythological goddess of corn and harvest.
Girl/Female
Egyptian
Love.
Boy/Male
Hindu
Demi God
Female
English
English short form of Latin Demetria, DEMI means "loves the earth" or "follower of Demeter."Â
Boy/Male
Arabic
All hearing.
Girl/Female
Hindu
Friendly
Female
Japanese
(1-æµç¾Ž, 2-絵美) Japanese name EMI means 1) "beautiful blessing" or 2) "beautiful picture."
Girl/Female
Biblical
Hearing, obeying.
Boy/Male
English French
Abbreviation of Remington.
Boy/Male
Bengali, Hindu, Indian, Malayalam, Marathi
A Semi Divine Bird
Boy/Male
Hindu
Dasaratha, Another name of dashratha, (Lord ramas father
Boy/Male
Tamil
Demi God
Boy/Male
Indian
Eminent, Exalted, High, Sublime, Similar
Girl/Female
Hindu
Girl/Female
Hindu
Limit
SEMI CONTINUITY
SEMI CONTINUITY
Girl/Female
Indian
Girl/Female
Hindu, Indian
Different Style
Boy/Male
Celebrity, Gujarati, Hindu, Indian, Kannada, Tamil, Telugu, Traditional
One with Beautiful Eyes; Lotus
Boy/Male
Hindu
Rising, Name of king of Avanti
Girl/Female
Tamil
Sarabjeet | ஸரபà¯à®œà®¿à®¤Â
Winning all
Girl/Female
British, English, French, Greek
Little Innocent; Form of Catherine; Pure
Boy/Male
Australian, French, Latin, Portuguese, Spanish
Peaceful; Famous Destroyer of Peace
Girl/Female
Muslim
(Wife of prophet Ibrahim)
Boy/Male
Latin
A hero who saved Rome.
Boy/Male
Tamil
One who wears a necklace of skulls
SEMI CONTINUITY
SEMI CONTINUITY
SEMI CONTINUITY
SEMI CONTINUITY
SEMI CONTINUITY
n.
Half relief. See Demi-rilievo.
a.
Half Saxon; -- specifically applied to the language intermediate between Saxon and English, belonging to the period 1150-1250.
a.
Of or pertaining to the Semi-Pelagians, or their tenets.
a.
Half crustaceous; partially crustaceous.
a.
Of or pertaining to Semi-Arianism.
n.
A short note, equal to one fourth of a semiquaver, or the sixty-fourth part of a whole note.
v. t.
A semi-liquid mixture of several ingredients, as, flour, eggs, milk, etc., beaten together and used in cookery.
n.
A follower of John Cassianus, a French monk (died about 448), who modified the doctrines of Pelagius, by denying human merit, and maintaining the necessity of the Spirit's influence, while, on the other hand, he rejected the Augustinian doctrines of election, the inability of man to do good, and the certain perseverance of the saints.
n.
The ratio of the distance between the center and the focus of an ellipse or hyperbola to its semi-transverse axis.
n.
A very hard, semi-glazed, green or dark brown brick, which will not absorb water; -- called also, Dutch clinker.
a.
Sprinkled or sown; -- said of field, or a charge, when strewed or covered with small charges.
n.
See Demy, n.
n.
The young of an insect in a stage between the larva and pupa.
n.
The doctrines or tenets of the Semi-Pelagians.
a.
Same as Seme.
n.
The doctrines or tenets of the Semi-Arians.
n.
Half of a circumference.