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Concept in commutative algebra
information about the behaviors of blow-ups. Given ideals J ⊂ I in a ring R, the ideal J is said to be a reduction of I if there is some integer m > 0 such that
Ideal_reduction
Mathematical construct in computer algebra
to the ideal generated by G. So, this ideal is not changed by adding f 3 − f 2 {\displaystyle f_{3}-f_{2}} to G, and this allows more reductions. In particular
Gröbner_basis
potential good reduction is a property of the reduction modulo a prime or, more generally, prime ideal, of an algebraic variety. "Good reduction" refers to
Potential_good_reduction
Family of optimization algorithms
finite-sum structure and uniform conditioning that make them ideal candidates for variance reduction. A function f {\displaystyle f} is considered to have finite
Stochastic_variance_reduction
Physical law in electrochemistry
chemical thermodynamical relationship that permits the calculation of the reduction potential of a reaction (half-cell or full cell reaction) from the standard
Nernst_equation
Plastic surgery procedure
Reduction mammoplasty (also breast reduction and reduction mammaplasty) is the plastic surgery procedure for reducing the size of large breasts. In a breast
Breast_reduction
theorem from mathematical logic. Reduction modulo a prime number or ideal See good reduction. Replete ideal A replete ideal in a number field K is a formal
Glossary of arithmetic and diophantine geometry
Glossary_of_arithmetic_and_diophantine_geometry
Leader of China since 2012
dismiss communism as impractical or irrelevant. Xi described the communist ideal as the "calcium" in a Party member's spine, without which the Party member
Xi_Jinping
1-dimensional Lie algebra k {\displaystyle {\mathfrak {k}}} are prime ideals. Reductive Lie algebras are a generalization of semisimple Lie algebras, and
Reductive_Lie_algebra
Mathematical object
from Ideal-SIS to Ideal-LWE. Combined with the reduction from worst-case Ideal-SVP to average-case Ideal-SIS, they obtained the a quantum reduction from
Ideal_lattice
Sound absorption performance of a material
The noise reduction coefficient (commonly abbreviated NRC) is a single-number rating intended to describe the average sound absorption performance of
Noise_reduction_coefficient
Chemical compound
it to trimethoxymethylsilane: MeSiCl3 + 3 CH3OH → MeSi(OCH3)3 + 3 HCl Reduction of methyltrichlorosilane with alkali metals forms a highly crosslinked
Methyltrichlorosilane
Lowest theoretical temperature
coldest temperature, a state at which a system's internal energy, and in ideal cases entropy, reach their minimum values. The Kelvin scale is defined so
Absolute_zero
Socially constructed norms
The feminine beauty ideal is a specific set of beauty standards regarding traits that are ingrained in women throughout their lives and from a young age
Feminine_beauty_ideal
In mathematics, the Jacobian ideal or gradient ideal is the ideal generated by the Jacobian of a function or function germ. Let O ( x 1 , … , x n ) {\displaystyle
Jacobian_ideal
Measurement of the human penis
shown erect. The males of ancient Greece believed that small penises were ideal. Scholars believe that most ancient Greeks probably had the same size penises
Human_penis_size
Part of the female primate torso that has mammary glands
breasts. Isis, an Egyptian goddess who represented, among many other things, ideal motherhood, was often portrayed as suckling pharaohs, thereby confirming
Breast
Measure of the force amplification achieved by using a tool
the ideal mechanical advantage (IMA). In operation, deflection, friction and wear will reduce the mechanical advantage. The amount of this reduction from
Mechanical_advantage
Award
populations, representing silenced voices, and promoting the loftiest of ideals: justice and freedom" Isaac Herzog et al. Jolanta Duda Poland "for her
2025_Nobel_Peace_Prize
American generation born from 1997 to 2012
consumers, Generation Z's actual purchases do not reflect their environmental ideals. Members of Generation Z, especially women, are also less likely to be religious
Generation Z in the United States
Generation_Z_in_the_United_States
Mendes de Conservação da Biodiversidade), who continue to keep alive Mendes' ideals." Cirolana mercuryi Bruce, 2003 Crustacean Freddie Mercury East African
List of organisms named after famous people (born 1925–1949)
List_of_organisms_named_after_famous_people_(born_1925–1949)
House" covers conservative media's support for Donald Trump's expansionist ideals and his "opening up the strategic nickname reserves" to deal with the Southern
List of The Daily Show episodes (2025)
List_of_The_Daily_Show_episodes_(2025)
American television series (2004–2010)
conceived and detailed the major mythological ideas and plot points for an ideal four-to-five-season run for the show. The novel idea of a story arc spanning
Lost_(TV_series)
Murder motivated by sheer excitement
their victim before they take the others' life." They frequently have an "ideal victim type" who has certain physical characteristics. Thrill killers have
Thrill_killing
Digital audio effect
methods to reduce audio fidelity: sample rate reduction and resolution reduction. Sample rate reduction Adjusting a bitcrusher by varying only the sample
Bitcrusher
American actress (born 1982)
note of the "impeccable" acting performances and wrote, "Dunst lends the ideal measure of coiled physical longing to her prim spinster". Dunst then starred
Kirsten_Dunst
2021–2025 U.S. presidential administration
legislation, failed in Congress. In August 2022, Biden signed the Inflation Reduction Act of 2022, a domestic appropriations bill that included some of the
Presidency_of_Joe_Biden
19th century British customs barrier in India
vitamin C which is used for pickle, was one of the shrubs used because it is ideal for hedges, growing rapidly, densely and needing little attention. Senegalia
Inland_Customs_Line
About simultaneous modular congruences
true over every principal ideal domain. It has been generalized to any ring, with a formulation involving two-sided ideals. The earliest known statement
Chinese_remainder_theorem
Shah of Iran from 1941 to 1979
his most admired leader. Mohammad Reza loved to be compared to his "ego ideal" of General de Gaulle, and his courtiers constantly flattered him by calling
Mohammad_Reza_Pahlavi
Including seafood in an otherwise vegetarian diet
moral and nutritional superiority of vegetarian-oriented diets. In Plato's ideal republic, a healthy diet would consist of cereals, seeds, beans, fruit,
Pescetarianism
Christianity-affiliated religious nationalism in the U.S.
restricting the civil rights of those who fail to conform to traditional ideals of whiteness, citizenship, and Protestantism. The Christian nationalist
Christian nationalism in the United States
Christian_nationalism_in_the_United_States
or clay rock types can be considered for a repository. There will be no "ideal" site. The "best possible" site will be sought. Mining areas and regions
History of radiation protection
History_of_radiation_protection
Neurological condition involving the crossing of senses
used in modern fiction. Synesthesia as Romantic ideal: in which the condition illustrates the Romantic ideal of transcending one's experience of the world
Synesthesia
Set of processes for obtaining iron from iron ore
In the iron and steel industry, direct reduction is a set of processes for obtaining iron from iron ore, by reducing iron oxides without melting the metal
Direct_reduction
President of the United States from 1909 to 1913
intervened to prop up or remove Latin American governments. While Taft sought reductions to trade tariffs, the resulting bill was heavily influenced by special
William_Howard_Taft
including anatomical study, or as a representation of beauty and aesthetic ideal of perfection, as in Ancient Greece. Its representation has varied according
History_of_the_nude_in_art
Type of chromatography
them than TCD. FIDs cannot detect water or carbon dioxide which make them ideal for environmental organic analyte analysis. FID is two to three times more
Gas_chromatography
Family of internal combustion engines
angle is closer to what is considered in some racing circles[who?] to be ideal for power (approximately 25 degrees), its other design differences and the
Toyota_A_engine
1858–1947 Crown colonial rule in India
empowerment and education that Gandhi had inaugurated in keeping with his ideal of swaraj. The following year Gandhi launched two more Satyagrahas—both
British_Raj
Motor vehicle
Retrieved 16 May 2018. "The new BMW X5 xDrive40e Plug-In Hybrid! The most ideal X5 for Egypt and the Middle East". 16 March 2015. Yulisman, Linda (31 March
BMW_X5_(F15)
Metal forming process
bend, until the desired cross-section profile is obtained. Roll forming is ideal for producing parts with long lengths or in large quantities. There are
Rolling_(metalworking)
Bird of prey species of North America
noble order unwelcome in the newly independent Republic, contrary to the ideals of Lucius Quinctius Cincinnatus, for whom the Society was named. His reference
Bald_eagle
Coup to depose Prime Minister Mohammed Mosaddegh
honored. Nationalist leaders in Iran became influential by looking for a reduction in long-term foreign interventions in their country—especially the oil
1953_Iranian_coup_d'état
Type of Japanese pottery traditionally used in tea ceremonies
Arbuckle. "Reduction Firing." Reduction Firing. Web. 6 May 2010. <http://lindaarbuckle.com/handouts/reduction_fire.pdf>. "Oxidation/Reduction Firing." Frog
Raku_ware
2025 video game
Might (attack power), Agility (frequency of attack), Defense (damage reduction), and Luck (critical rate). The abilities of the Expeditioners are further
Clair_Obscur:_Expedition_33
Theory of ideals in commutative rings in mathematics
In mathematics, ideal theory is the theory of ideals in commutative rings. While the notion of an ideal exists also for non-commutative rings, a much
Ideal_theory
Art museum in New York City
$600 million architectural expansion might be reconsidered as early as 2020 at a reduction to the $450 million level. Brodsky, the chairman of the Met, stated that
Metropolitan_Museum_of_Art
Gröbner bases for non-commutative algebra
words, since elements of X {\displaystyle X} can be seen as letters. The reductions below require a choice of ordering < {\displaystyle <} on the words i
Bergman's_diamond_lemma
Property of electrical conductors
{\displaystyle \phi ={\tfrac {1}{2}}\pi } radians or 90 degrees, showing that in an ideal inductor, the current lags the voltage by 90°. In the most general case
Inductance
FBI covert surveillance plan
Alto, the second highest point in Washington, the Soviets would have an ideal location for eavesdropping on radio communications. It was possible that
Operation_Monopoly
1869 novel by Gustave Flaubert
and there is no more charm in this laborious monument to a treacherous ideal than there is interest in a heap of gravel." György Lukács in his 1971 Theory
Sentimental_Education
East Asian ethnic group
eventually resulted in the Chinese Rites controversy and a subsequent reduction in Christian influence in the country. Christianity grew considerably
Han_Chinese
Data values of standard electrode potential
data but not the current standard state (100 kPa). Variations from these ideal conditions affect measured voltage via the Nernst equation. Electrode potentials
Standard electrode potential (data page)
Standard_electrode_potential_(data_page)
Daily log of an ongoing military conflict
insisted on demanding a formal invitation to join NATO, which he called "ideal". Australia pledged 30 more Bushmaster Protected Mobility Vehicles for Ukraine
Timeline of the Russo-Ukrainian war (8 June 2023 – 31 August 2023)
Timeline_of_the_Russo-Ukrainian_war_(8_June_2023_–_31_August_2023)
Chinese ethical and philosophical system
use ru do not use the name "Confucius" at all, but instead focus on the ideal of the Confucian man. The use of the term "Confucianism" has been avoided
Confucianism
Small single-aisle airliner
DC-9X, McDonnell Douglas found the BMW Rolls-Royce BR700 engine to be the ideal candidate, and on February 23, 1994, the BR700 was selected as the sole
Boeing_717
Empiricist philosophical theory
antipositivists and critical theorists, among others, for its alleged scientism, reductionism, overgeneralizations, and methodological limitations. Positivism also
Positivism
German fascist ideology
make the national cause his own to such an extent that he knows no higher ideal than the welfare of the nation; whoever has understood our great national
Nazism
Cultural idea that spreads through imitation
ISSN 0018-2656. JSTOR 3590779. The selectionist paradigm requires the reduction of society and culture to inheritance systems that consist of randomly
Meme
Authoritarian environmentalist ideology
problem was to cap the global population at 2.5 billion people, with the reduction in the global population being forced upon the global south. Through his
Ecofascism
American industrialist and philanthropist (1835–1919)
of the Cambria Iron Works downstream in Johnstown. Such repair work, a reduction in height, and unusually high snowmelt and heavy spring rains combined
Andrew_Carnegie
American politician and businessman (born 1947)
billion, including $700 million in reductions in state aid to cities and towns. The cuts also included a $140 million reduction in state funding for higher education
Mitt_Romney
Type of mathematical functions
the field. Oka introduced the notion which he termed "idéal de domaines indéterminés" or "ideal of indeterminate domains". Specifically, it is a set (
Function of several complex variables
Function_of_several_complex_variables
Love focused on feelings
Troyes were encouraged by royalty to compose works exemplifying certain ideals (now called "courtly love"), particularly in the town of Poitiers, where
Romance
Species of mosquito
on 2 May 2014. Lounibos, L. P. (2007). "Competitive displacement and reduction". Journal of the American Mosquito Control Association. 23 (2 Suppl):
Aedes_albopictus
Third stage of education for adults
provincial, territorial, Indigenous and military higher education systems. The ideal objective of Canadian higher education is to offer every Canadian the opportunity
Tertiary_education
Reciprocating internal combustion engine
further lowering weight and cost. Because it is designed to maintain an ideal tension setting, the belt runs quieter and with proper preventative maintenance
Hyundai_Kappa_engine
Assembly of photovoltaic cells used to generate electricity
and 2013. Due to that growth many installers had projects that were not "ideal" solar roof tops to work with and had to find solutions to shaded roofs
Solar_panel
American philosopher, psychologist, and educational reformer (1859–1952)
at the University of Michigan, "Democracy and the one, ultimate, ethical ideal of humanity are to my mind synonymous." Dewey considered two fundamental
John_Dewey
scientists have suggested that a severe reduction of the indigenous population in the Americas and the accompanying reduction in cultivated lands during the 16th
Native American disease and epidemics
Native_American_disease_and_epidemics
Head of the Catholic Church from 1963 to 1978
inaugural encyclical Ecclesiam suam (section below), the Pope called Mary the ideal of Christian perfection. He regards "devotion to the Mother of God as of
Pope_Paul_VI
Book series published by Encyclopædia Britannica
get it. Neither can it be "proved" that they cannot. The statement of the ideal, however, is of value in indicating the direction that education should
Great Books of the Western World
Great_Books_of_the_Western_World
King of Mercia from 757 to 796
archdiocese of Canterbury in two, creating a new archdiocese of Lichfield. This reduction in the power of Canterbury may have been motivated by Offa's desire to
Offa_of_Mercia
1946 nuclear weapon tests at Bikini Atoll
most remote location with a large protected anchorage, suitable but not ideal weather, and a small, easily moved population. It had come under exclusive
Operation_Crossroads
Ancestor of all current life on Earth
phylogenetic analysis, the IVYWREL content of LUCA's proteins suggests its ideal temperature was below 50°C. Evidence that bacteria and archaea both independently
Last universal common ancestor
Last_universal_common_ancestor
Disc-shaped analog sound storage medium
market, and achieving a noise reduction of about 20 to 25 dB(A), was the Telefunken/Nakamichi High-Com II noise reduction system being adapted to vinyl
Phonograph_record
Space that is empty of matter
pressure much less than atmospheric pressure. Physicists often discuss ideal test results that would occur in a perfect vacuum, which they sometimes
Vacuum
MLB franchise relocation
with a structure known as Mount Davis, which made the facility less than ideal for baseball as the large section of seats above forced them to add tarpaulin
Oakland Athletics relocation to Las Vegas
Oakland_Athletics_relocation_to_Las_Vegas
Vehicle propelled by ejection of gases
ambient environment to which these gases are released.[citation needed] The ideal direction of motion of the exhaust is in the direction so as to cause thrust
Rocket
Attraction between people of the same sex or gender
sexual behavior can be a disease vector. Safe sex is a relevant harm reduction philosophy. Many countries currently prohibit men who have sex with men
Homosexuality
Indian politician (born 1946)
international body to attend the Third UN World Conference on Disaster Risk Reduction (WCDRR) in 2015, which was held in Sendai, Japan, from 14 to 18 March
Naveen_Patnaik
German luxury automotive brand
all-wheel-drive. "BlueTEC" indicates a diesel engine with selective catalytic reduction exhaust after-treatment. "BlueEFFICIENCY" indicates special fuel economy
Mercedes-Benz
Continuous probability distribution
describing random point clouds (such as the positions of particles in an ideal gas): the probability to find the nearest-neighbor particle at a distance
Weibull_distribution
Beneficial symbiosis between species
shortening of snout length that results in tooth crowding, reduction in tooth size, and a reduction in the number of teeth, which has been attributed to the
Commensalism
Proposed Mars sample return mission
subsequent spin-up would be flight tested, the authors noted that it would be ideal to flight test an entire flight-like MAV, but there would be a large cost
NASA-ESA_Mars_Sample_Return
Species of bird
shallow water, often by preference in water less than 1 m (3.3 ft) deep. Ideal fishing areas can be found in areas such as the Baltic Sea, where low coasts
White-tailed_eagle
Synthetic chemical fuel produced from solar energy
using this fuel is water, and products of photochemical carbon dioxide reduction, which are more conventional fuels like methane and propane. Upcoming
Solar_fuel
Light-conducting fiber
difference in axial propagation speeds of the various rays in the fiber. This ideal index profile is very close to a parabolic relationship between the index
Optical_fiber
Genetically engineered T cell
between the antigen recognition region and the cell's outer membrane. An ideal hinge enhances the flexibility of the scFv receptor head, reducing the spatial
CAR_T_cell
1524–1525 popular revolt in Central Europe
drawbacks: they required a fairly large area of flat terrain and they were not ideal for offense. Since their earlier use, artillery had increased in range and
German_Peasants'_War
Australian racing driver (born 2003)
Alonso Lopez, Alejandro (29 August 2022). "Doohan: Lap behind Cordeel "not ideal" en route to Spa F2 win". Formula Scout. Retrieved 5 May 2023. "Doohan's
Jack_Doohan
Leafy vegetable in the flowering plant family Brassicaceae
conditions will result in up to six months of longevity. When stored under less ideal conditions, cabbage can still last up to four months. Cabbage is prepared
Cabbage
English musician (born 1957)
somewhat Murphy’s manager at the time, recommended Hughes to him as an ideal candidate for Murphy. They had a meeting together, however, Murphy was still
Peter_Murphy_(musician)
Non-profit corporation in Green Lake Township, Michigan
incorporated the National High School Orchestra Camp, and began searching for ideal locations, eventually narrowing it down to sites in Maine and Michigan.
Interlochen Center for the Arts
Interlochen_Center_for_the_Arts
Electricity-induced chemical reaction
through electrolysis was developed by Dmitry Lachinov in 1888. Assuming ideal faradaic efficiency, the amount of hydrogen generated is twice the amount
Electrolysis_of_water
Visible star that is nearly aligned with Earth's axis of rotation
stars (brighter than 6th magnitude, i.e., visible to the naked eye under ideal conditions) that most closely coincide with the projection of the planet's
Pole_star
Surgical procedure
skin envelope of the breast. The technical challenge is determining the ideal position of the prosthetic-breast within the implant-pocket in order to
Breast_augmentation
Algorithm for transforming one optimization problem into another
reductions, especially for the purpose of proving completeness of a problem within a complexity class. Crescenzi suggests that the three most ideal styles
Approximation-preserving reduction
Approximation-preserving_reduction
Technique in electrical devices
Characteristics Related to ON Resistance". "Ideal Diode for Solar Panel Bypass". "Ideal Diode Bridge Controller". "Ideal Diode Bridge Controller Minimizes Power
Active_rectification
IDEAL REDUCTION
IDEAL REDUCTION
Boy/Male
Indian, Punjabi, Sikh
Ideal Love
Girl/Female
Tamil
Priyana | பà¯à®°à®¿à®¯à®¾à®¨à®¾
Ideal
Priyana | பà¯à®°à®¿à®¯à®¾à®¨à®¾
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Sanskrit, Tamil, Telugu, Traditional
Ideal
Boy/Male
Biblical
A redeemer, redeemed, defiled.
Boy/Male
Hindu, Indian
Ideal
Girl/Female
Hindu, Indian, Marathi
Aim; Ideal
Girl/Female
Indian
Petal of Flower
Girl/Female
American, British, English, German
Prosperous; Happy; Hardworking
Girl/Female
Gujarati, Hindu, Indian, Tamil
Roses; Ideal
Girl/Female
Hindu
Ideal
Surname or Lastname
English
English : variant spelling of Idle.Jewish (Ashkenazic) : from the Yiddish personal name Idl, a pet form of Jude.Possibly a respelling of German Eitel.
Girl/Female
Hindu, Indian, Marathi
Ideal
Boy/Male
Hindu, Indian
Ideal
Girl/Female
Tamil
Ideal
Girl/Female
Hindu, Indian, Marathi
Ideal
Surname or Lastname
English
English : variant of Dale (from the Old Kentish form del) or a habitational name from Deal in Kent, named with this word.Americanized spelling of German Diel or Diehl.Dutch (de Ruyter) : variant spelling (17th century) of De Ruiter
Boy/Male
Indian
Ideal
Girl/Female
Hindu, Indian, Marathi
Ideal
Girl/Female
Bengali, Hindu, Indian, Kannada, Marathi, Punjabi, Sanskrit, Sikh
Ideal
Girl/Female
Hindu, Indian
Ideal; Aim
IDEAL REDUCTION
IDEAL REDUCTION
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Tamil
Smart
Boy/Male
Hindu, Indian
Rising Sun; Noble; Bear Man
Boy/Male
Indian
Happiness
Boy/Male
Hindu, Indian
Lord Krishna
Boy/Male
Biblical American Hebrew
A ruling, commanding, coming down.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Rising
Surname or Lastname
English (chiefly Lancashire)
English (chiefly Lancashire) : topographic name for someone who lived by or worked at a rough temporary shelter for animals, Middle English helm (Old Norse hjalmr, related to the Old English and Old High German words in 2 below), or a habitational name from a minor place named Helm or Helme from this word, as for example in County Durham, Northumberland, and West Yorkshire.English, German, and Dutch : metonymic occupational name for a maker of helmets, from Middle English, Middle High German, Middle Dutch helm.German and Dutch : from a medieval personal name, a short form of any of the various compound names formed with helm ‘helmet’. Compare, e.g., Helmbrecht.Scottish : habitational name from Helme in Roxburghshire (Borders).Jewish (Ashkenazic) : ornamental name from German Helm ‘helmet’.
Girl/Female
Indian, Tamil
Well-versed in All the Tamil Arts
Girl/Female
Greek
Immortal. 5th-century British military leader Ambrosius Aurelianus was probably a prototype for...
Boy/Male
British, English, German
Noble Friend
IDEAL REDUCTION
IDEAL REDUCTION
IDEAL REDUCTION
IDEAL REDUCTION
IDEAL REDUCTION
v. i.
To contend (with); to treat (with), by way of opposition, check, or correction; as, he has turbulent passions to deal with.
n.
Specifically: To distribute, as cards, to the players at the commencement of a game; as, to deal the cards; to deal one a jack.
n.
A mental conception regarded as a standard of perfection; a model of excellence, beauty, etc.
a.
Existing in fancy or imagination only; visionary; unreal.
n.
A part or portion; a share; hence, an indefinite quantity, degree, or extent, degree, or extent; as, a deal of time and trouble; a deal of cold.
a.
Not real; unsubstantial; fanciful; ideal.
n.
Ideal disjunction; discrepancy; contrariety.
adv.
In an ideal manner; by means of ideals; mentally.
a.
Existing in idea or thought; conceptional; intellectual; mental; as, ideal knowledge.
n.
The division of a piece of timber made by sawing; a board or plank; particularly, a board or plank of fir or pine above seven inches in width, and exceeding six feet in length. If narrower than this, it is called a batten; if shorter, a deal end.
a.
Utopian; ideal.
a.
Not ideal; real; unimaginative.
n.
A belief, option, or doctrine; a characteristic or controlling principle; as, an essential idea; the idea of development.
n.
Conception of the ideal; imagery.
a.
Imaginary.
a.
Teaching the doctrine of idealism; as, the ideal theory or philosophy.
n.
Wood of the pine or fir; as, a floor of deal.
a.
Reaching an imaginary standard of excellence; fit for a model; faultless; as, ideal beauty.
pl.
of Idea