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Concept in set theory
In the mathematical discipline of set theory, 0# (zero sharp, also 0#) is the set of true formulae about indiscernibles and order-indiscernibles in the
Zero_sharp
American folk rock band
Edward Sharpe and the Magnetic Zeros were an American folk rock band formed in Los Angeles, California, in 2005. The group was led by singer Alex Ebert
Edward Sharpe and the Magnetic Zeros
Edward_Sharpe_and_the_Magnetic_Zeros
Topics referred to by the same term
zero-sum, a theory in games and economics 0 sharp, also zero sharp or 0#, a concept in set theory 0 section, or zero section, a type of section in a Vector
0S
Topics referred to by the same term
Look up zero, 0, naught, nought, or 零 in Wiktionary, the free dictionary. Zero is a number. Zero, Zeros, or Zeroes may also refer to: Zero (Marvel Comics)
Zero_(disambiguation)
Topics referred to by the same term
Circle symbol (disambiguation) Empty set (∅), the set having no elements Zero sharp (0#), in the Gödel constructible universe Phi (Φ), a letter of the Greek
0_(disambiguation)
Japanese carrier-based fighter aircraft
The Mitsubishi A6M "Zero" is a long-range carrier-capable fighter aircraft that was manufactured by Mitsubishi Aircraft Company, which was part of Mitsubishi
Mitsubishi_A6M_Zero
Possible axiom for set theory in mathematics
investigated by Kurt Gödel, is inconsistent with the proposition that zero sharp exists and stronger large cardinal axioms (see list of large cardinal
Axiom_of_constructibility
Large cardinal number
-Erdős cardinal is α {\displaystyle \alpha } -Erdős. The existence of zero sharp implies that the constructible universe L {\displaystyle L} satisfies
Erdős_cardinal
Topics referred to by the same term
Code-Zero or variant, may refer to: Code-Zero, a Japanese-only Square-Enix videogame for the Sharp X68000, see List of Enix games#C Code 0 sail, a type
Code-Zero
of an inconsistent notion of what a Silver indiscernible would be if zero sharp "exists". If κ is the cardinal, then it says that there is (in a forcing
Silver_cardinal
2003 video game
F-Zero GX is a 2003 racing game developed by Amusement Vision, a division of Sega, and published by Nintendo for the GameCube. It was released in Japan
F-Zero_GX
Video-sharing platform
expanded globally. From late 2024, users across Russia started experiencing sharp declines in YouTube loading speeds. YouTube removed the videos and deleted
YouTube
under the assumption of the non-existence of zero sharp, establishing that L is the "core model below zero sharp". The work of Solovay isolated another core
Core_model
set theory) Tree (set theory) Union (set theory) Von Neumann universe Zero sharp Glossary of set theory List of large cardinal properties List of properties
List_of_set_theory_topics
Japanese light novel series
The Familiar of Zero (Japanese: ゼロの使い魔, Hepburn: Zero no Tsukaima) is a Japanese fantasy light novel series written by Noboru Yamaguchi, with illustrations
The_Familiar_of_Zero
American comedy thriller film
Lodge, Guy (September 4, 2025). "'Bad Apples' Review: Saoirse Ronan Gets Zero for Conduct in a Very Dark Classroom Comedy". Variety. Archived from the
Bad_Apples_(2025_film)
British space rock band
Flicknife Records. 1987. Underground Zerø Live. Video. Under 002 1988. The Best of Hawkwind, Friends and Relations. CD. Sharp 1724CD. Flicknife Records. 1988
Underground_Zerø
Topics referred to by the same term
editor Don Sharp (golfer), in the Lake Macquarie Amateur Don Sharpe (producer), producer of the 1969 Japanese film Latitude Zero Don Sharp (karateka)
Donald_Sharp
Employment contract with no minimum work time
A zero-hour contract is a type of employment contract in United Kingdom labour law between an employer and an employee, under which the employer is not
Zero-hour_contract
Sharp 821SH Sharp 822SH Sharp 880SH Sharp 904SH Sharp 905SH Sharp 910SH Sharp 911SH Sharp 912SH Sharp 913SH Sharp 913SH G-Type Char Sharp 920SH Sharp
List_of_Sharp_mobile_phones
American mathematician (born 1938)
University of Chicago Known for Solovay model Solovay–Strassen primality test Zero sharp Martin's axiom Solovay–Kitaev theorem Awards Paris Kanellakis Award (2003)
Robert_M._Solovay
Musical artist & record producer (1948–1991)
James Martin Hannett (also known as 'Martin Zero') (31 May 1948 – 18 April 1991), was an English record producer, musician, and an original partner and
Martin_Hannett
Country in South America
leader in clean energy, particularly solar and wind. and has committed to net zero by 2050. According to Climate Action Tracker, the nation is making "considerable
Chile
1988 film by Martin Donovan
Apartment Zero, also known as Conviviendo con la muerte (Spanish for Living with Death), is a 1988 British psychological-political thriller film directed
Apartment_Zero
2023 film by Takashi Yamazaki
Minus Zero, was released in November 2026. In 1945, near the end of World War II, kamikaze pilot Kōichi Shikishima lands his Mitsubishi A6M Zero for repairs
Godzilla_Minus_One
Concept asserting ongoing stock market bubble
Retrieved October 10, 2026. Leask, Hugh (March 25, 2026). "Private credit's 'zero-loss fantasy' is coming to an end as defaults and fund exits rise". CNBC
AI_bubble
Seasonal change of clock settings
News (4 November 2022). "Is Daylight Saving Time Good or Bad? | Sharp HealthCare". www.sharp.com. Archived from the original on 4 December 2024. Retrieved
Daylight_saving_time
Country in Southeastern Europe
has pledged a 20.9% reduction in greenhouse gas emissions by 2030 and net zero by 2050. The country has a moderate and improving performance in the Environmental
Albania
Lowest possible energy of a quantum system or field
Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly
Zero-point_energy
2025 assassination in Orem, Utah, U.S.
messages from the left and right, anguish about political violence, and sharply divisive partisan takes. Trump, members of the Republican Party, and other
Assassination_of_Charlie_Kirk
Concept in mathematical logic
the theory of Ramsey cardinals, Erdős cardinals, Silver cardinals, and zero sharp. Identity of indiscernibles Rough set Jech, Thomas (2003). Set Theory
Indiscernibles
Field of knowledge
the natural numbers are defined by "zero is a number", "each number has a unique successor", "each number but zero has a unique predecessor", and some
Mathematics
American actor and writer
Timm Sharp (born 1978) is an American actor and writer. He is known for his roles as Marshall Nesbitt in the Fox sitcom Undeclared, Doug Von Stuessen
Timm_Sharp
Fluid dynamics principle regarding bodies with sharp corners
flow occurs at the trailing edge and, because the radius of the sharp trailing edge is zero, the speed of the air around the trailing edge should be infinitely
Kutta_condition
2019 video game
2022. "Katana Zero Reviews". OpenCritic. April 18, 2019. Retrieved June 13, 2023. Juba, Joe (April 18, 2019). "Katana Zero Review - A Sharp And Dull Blade"
Katana_Zero
1997 studio album by Godspeed You! Black Emperor
F♯ A♯ ∞ (pronounced "F-sharp, A-sharp, Infinity") is the debut studio album by Canadian post-rock band Godspeed You! Black Emperor. It was first released
F♯_A♯_∞
Chemical element with atomic number 79 (Au)
are more conductive per volume, but gold is the only of these three with zero corrosion). For example, gold electrical wires were used during some of the
Gold
American actress (born 1959)
five films in 2019. She had cameo appearances in the family comedy Troop Zero, the psychological thriller Ma, and Bombshell. For the last of these she
Allison_Janney
American rapper (born 1968)
which had originally been released on the 1987 movie soundtrack Less than Zero, "I'm That Type of Guy", "Big Ole Butt", and "One Shot at Love"). Despite
LL_Cool_J
Wang Chung Points on the Curve Debra Hurd Debra Hurd Elton John Too Low for Zero Joan Rivers What Becomes a Semi-Legend Most? Asia Alpha Jr. Tucker Jr. Tucker
Geffen_Records_discography
English mathematician (1815–1852)
London: Fourth Estate. pp. 116–118. Simonite, Tom (24 March 2009). "Short Sharp Science: Celebrating Ada Lovelace: the 'world's first programmer'". New
Ada_Lovelace
Scottish alt rock band
from a chase scene in Mad Max: Fury Road (2015). That June, they released "Zero" and announced their debut EP, War Boys, which was entirely Mad Max-themed;
Dead_Pony
is weaker than Silver cardinal. ω1-iterable cardinal is stronger than zero sharp. Gitman, Victoria (2011), "Ramsey-like cardinals I", Journal of Symbolic
Iterable_cardinal
COVID-19 elimination strategy
Zero-COVID, also known as COVID-Zero and "Find, Test, Trace, Isolate, and Support" (FTTIS), was a public health policy implemented by some countries, especially
Zero-COVID
Medicine, Vol. 83, No. 7, July 2012 Goodyear, Charis (19 October 2022). "The "zero-chance" doctor who now advises government". www.cam.ac.uk. Retrieved 7 November
List of Old Bedford Modernians
List_of_Old_Bedford_Modernians
Australian metalcore band
Apple Music. 4 December 2018. Retrieved 24 August 2020. "Alpha Wolf - Sub-Zero (Official Music Video)". YouTube. 18 March 2019. Retrieved 24 August 2020
Alpha_Wolf_(band)
American football player (born 1976)
season with three consecutive games of at least three touchdown passes and zero interceptions. In week 9, against the Philadelphia Eagles, Manning made his
Peyton_Manning
President of Poland since 2025
to pursue similar undertakings. Nawrocki calls for "a welfare state with zero VAT on food". He promised to increase social spending, welfare benefits and
Karol_Nawrocki
Japanese adult film series
Archived from the original on 2014-11-30. Retrieved 2013-07-14. Sharp p. 328 "Zero WOMAN 警視庁0課の女(1995)" (in Japanese). AllCinema. Retrieved 2013-07-14
Zero_Woman
Characters of 2024 action role-playing game
Zenless Zone Zero is a free-to-play action role-playing game developed and published by miHoYo. All playable characters are associated with a faction.
List of Zenless Zone Zero characters
List_of_Zenless_Zone_Zero_characters
Japanese anime television series
all caps Stylized in start case Stylized as "The Shooting Star Project (ZERO MIX)" Stylized as "EVERYTHING BUT THE RAIN “June Truth”" Stylized as "THE
Bleach: Thousand-Year Blood War
Bleach:_Thousand-Year_Blood_War
Japanese video game company
Launch games for the Super Famicom and Super NES include Super Mario World, F-Zero, Pilotwings, SimCity, and Gradius III. By mid-1992, over 46 million Super
Nintendo
Probability saying
measure theory. In probability experiments on a finite sample space with a non-zero probability for each outcome, there is no difference between almost surely
Almost_surely
2014 film directed by Michael Tiddes
funny, not even a tiny bit." John Semley of The Globe and Mail gave the film zero stars out of four, saying "A Haunted House 2 is dumber than dumb dumb, which
A_Haunted_House_2
Make Say Think 1998 CST006 Godspeed You! Black Emperor Slow Riot for New Zero Kanada E.P. 1999 CST007 Sackville The Principles of Science 10" 1999 CST008
Constellation Records (Canada) discography
Constellation_Records_(Canada)_discography
Re-election of Barack Obama
was out of touch with the average American. The campaign was marked by a sharp rise in fundraising, including from nominally independent Super PACs. Obama
2012 United States presidential election
2012_United_States_presidential_election
1945 attacks in Japan during WWII
as the Genbaku (A-bomb) dome, which was only 150 m (490 ft) from ground zero (the hypocenter). The ruin was named Hiroshima Peace Memorial and was made
Atomic bombings of Hiroshima and Nagasaki
Atomic_bombings_of_Hiroshima_and_Nagasaki
British brewery in Cornwall
brand. An alcohol-free version, named Doom Bar Zero, was launched in August 2020. Sea Fury (Previously Sharps Special) (5.0% abv) was named 'Beer of the Festival'
Sharp's_Brewery
Property of a thermodynamic system
phase change. At low temperatures near absolute zero, heat capacities of solids quickly drop off to near zero, so the assumption of constant heat capacity
Entropy
Decentralized digital cryptocurrency
laureate, described bitcoin as a "pure bubble" as its intrinsic value is zero. According to him, some bubbles are long-lasting such as gold and fiat currencies
Bitcoin
Edible fruit
often with red shades or even purplish-black. They may have a blunt or sharp point. The five sepals remain attached and stand out from the surface of
Apple
Capital and most populous city of Arizona, U.S.
system, with most roads oriented either north–south or east–west, and the zero point of the grid being the intersection of Central Avenue and Washington
Phoenix,_Arizona
opened a new market for ethanol fuel. This shift also contributed to a sharp increase in the production and sale of E85 flex vehicles since 2002. Ethanol
Flexible-fuel vehicles in the United States
Flexible-fuel_vehicles_in_the_United_States
Distance from a point to the boundary of a set
as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω. However, the alternative convention
Signed_distance_function
Steps Alfred Hitchcock 1959 The 39 Steps Ralph Thomas 1978 The 39 Steps Don Sharp 2022 The 355 Simon Kinberg 2008 Jumper Doug Liman 1943 Above Suspicion Richard
List_of_spy_films
set theory) Tree (set theory) Union (set theory) Von Neumann universe Zero sharp Analytical hierarchy Almost Ramsey cardinal Erdős cardinal Extendible
List of mathematical logic topics
List_of_mathematical_logic_topics
American actress (born 1981)
series Woke Up Dead, also featuring Jon Heder. Ritter starred in 2010 as the sharp and quirky Lily in the Starz television series Gravity, alongside Ivan Sergei
Krysten_Ritter
laser surgery, Grim uses his own scythe to zap his eyes. Although Billy has sharp and clean eyesight, he can also see supernatural, vision-like glimpses of
List of The Grim Adventures of Billy & Mandy episodes
List_of_The_Grim_Adventures_of_Billy_&_Mandy_episodes
American mathematician (1942–2016)
notion of a Kurepa tree (called Silver's Principle). He discovered 0# ("zero sharp") in his 1966 Ph.D. thesis, discussed in the graduate textbook Set Theory:
Jack_Silver
Description of the orientation of a rigid body
Classic Euler angles usually take the inclination angle in such a way that zero degrees represent the vertical orientation. Alternative forms were later
Euler_angles
1983 video game
1983 for the NEC PC-8801, NEC PC-6001 mkII, Fujitsu FM-7, Sharp MZ-700, Sharp MZ-2000, Sharp X1 and MSX in Japan, and a graphically modified version for
Bomberman_(1983_video_game)
Counting from "0" instead of "1" first
chained inequality, combining sharp and standard inequalities to four possibilities, demonstrating that to his conviction zero-based arrays are best represented
Zero-based_numbering
Infinite game in descriptive set theory whose payoff set is a lightface analytic set
later forcing-free proof of this direction was given by Sami (1999). 0# (zero sharp) is a real number — formally a subset of ω — that encodes the complete
Lightface_analytic_game
Digital asset using a distributed ledger
CryptoNote, implement additional measures to increase privacy, such as by using zero-knowledge proofs. A recent 2020 study presented different attacks on privacy
Cryptocurrency
American actor (born 1982)
A Real Pain took Jesse Eisenberg on a road trip to his psyche's 'ground zero'". The Jewish Chronicle. Archived from the original on January 29, 2025.
Kieran_Culkin
American satellite-based radio navigation service
zero again every 1,024 weeks (19.6 years). GPS week zero started at 00:00:00 UTC (00:00:19 TAI) on January 6, 1980, and the week number became zero again
Global_Positioning_System
construct models with many automorphisms. It is also used in the theory of zero sharp to construct indiscernibles in the constructible universe. Ehrenfeucht
Ehrenfeucht–Mostowski_theorem
Web applications archival project
author Ben "BlueMaxima" Latimore Developer Community contributors Release Zero / December 26, 2017; 8 years ago (2017-12-26) Stable release 14.0.3 (Kingfisher)
Flashpoint_Archive
Term for recoil energy of a firearm not supported from behind
(7.2) 9.8 7.2 STI Int, Inc. Edge 2011, 1247 g (44 oz) .40 S&W 170PF/12.96 (200) ZeroBullets, 1.2" C.O.A.L 259 (850) 0.31 (4.8) Win231 WinWSP 5.19 3.83
Free_recoil
Japanese multinational conglomerate
2011. Sony also entered into a joint venture with Sharp Corporation in July 2009 to operate Sharp Display Products Corporation for large-sized LCD panel
Sony
American and Australian advocate (1983–2025)
January 2020, U.S. attorney Geoffrey Berman stated that Andrew had provided "zero cooperation" after the FBI and the Southern District of New York had requested
Virginia_Giuffre
American actress and director (born 1981)
directed by Dexter Fletcher. Howard described her character as humorous and sharp-witted, and as someone who struggled with her mental health. Howard worked
Bryce_Dallas_Howard
Chinese-American rapper and singer from New York (born 2003)
his songs. Zhang's style has changed drastically over the years, but a sharp articulation and deep voice has given him a distinct vocal character present
Khantrast
One of the four census regions of the US
campaign as well as the adjacent Kelly Ingram Park. This park served as ground zero for the infamous children's protest that eventually led to the passage of
Southern_United_States
Motor vehicle
The tZero (a mathematical symbol meaning, 'time from a standing start in sequence') is a hand-built electric sports car designed and built in very limited
AC_Propulsion_tZero
Display that uses the light-modulating properties of liquid crystals
2-(4-alkoxyphenyl)-5-alkylpyrimidine with cyanobiphenyl, patented by Merck and Sharp Corporation. The patent that covered that specific mixture has expired.
Liquid-crystal_display
Small arms telescopic sight
base to the receiver. A bore-sighting device is usually used to roughly zero the sight before a first-time shooter takes it to the range. Adjustments
C79_optical_sight
Re:Zero − Starting Life in Another World is an anime television series based on the light novel series Re:Zero − Starting Life in Another World written
List_of_Re:Zero_episodes
Character encoding standard
can be known in abbreviation as ASCIZ or ASCIIZ, where here Z stands for "zero". Other representations might be used by specialist equipment, for example
ASCII
American animated sitcom
death in Season 17. Santa returns in the Season 14 episode "Ninety North, Zero West", where Santa kidnaps Steve to take over the world by unleashing an
American_Dad!
1999 Japanese comedy horror film
Wild Zero is a 1999 Japanese comedy horror film directed by Tetsuro Takeuchi. It stars Masashi Endō as Ace, a fan of the Japanese rock power trio Guitar
Wild_Zero
Proposed superconducting material
report observing any definitive properties of superconductivity, such as zero resistance, the Meissner effect, flux pinning, AC magnetic susceptibility
LK-99
American country musician (1937–2002)
"When Waylon Jennings Signed His 1975 CMA Award With a NSFW Phrase and Zero Regrets". Country Thang Daily. Retrieved October 23, 2026. "Inside Fame:
Waylon_Jennings
Chancellor of Germany since 2025
welfare cuts and reforms have drawn criticism. His approval ratings fell sharply during his first year in office; in May 2026, he recorded the lowest level
Friedrich_Merz
Psychoactive drug, often called ecstasy
complicated by the presence of 14 different 5-HT receptor subtypes (Barnes and Sharp, 1999; Hoyer et al., 2002), many of which affect DA function (Alex and Pehek
MDMA
British anthropologist and adventurer
line duty in the Adriatic during the Yugoslavian war as part of Operation Sharp Guard. 2005 Shipmates Century Random House An exploration of the Royal Navy's
Chris_Terrill
American DJ and keyboardist (born 1977)
were being assigned to each band member, he insisted on being the number zero since it epitomized filth. He was also known to stage dive in Slipknot's
Sid_Wilson
Currency of Indonesia
recovered. Since then, it has depreciated sharply several times under the floating system. Proposals to remove three zeroes from the currency have not been implemented
Indonesian_rupiah
Financial institution and UN specialized agency
exchange agreement in the year 1944. During the Great Depression, countries sharply raised barriers to trade in an attempt to improve their failing economies
International_Monetary_Fund
American football player and television analyst (born 1979)
over the Minnesota Vikings, Brees logged 346 yards, four touchdowns, and zero interceptions to hand the Rams their first loss of the season in Week 9.
Drew_Brees
travel, tourism, insurance
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travel, tourism, insurance