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Denormalized floating-point numbers near zero
In computer science, subnormal numbers are the subset of denormalized numbers (sometimes called denormals) that fill the underflow gap around zero in
Subnormal_number
Webcomic by Winston Rowntree
Business Is Moving on From Webcomics". Observer. "Subnormality". "Subnormality". "Subnormality". "Subnormality". The Cartoonist Studio Prize: The Shortlists
Subnormality
Topics referred to by the same term
Subnormal may refer to: Subnormal body temperature, a common term for hypothermia Subnormal operator, a type of operator in operator theory in mathematics
Subnormal
20th century British term for some children
Educationally subnormal was a term used historically in the United Kingdom to refer to children with very limited intellectual abilities. Throughout much
Educationally_subnormal
property of subnormality is transitive, that is, a subnormal subgroup of a subnormal subgroup is subnormal. The relation of subnormality can be defined
Subnormal_subgroup
Human body core temperature below 35 °C (95 °F)
Hypothermia is defined as a body core temperature below 35.0 °C (95.0 °F) in humans. Symptoms depend on the temperature. In mild hypothermia, there is
Hypothermia
Comparing entries then shows N is normal. This proves quasinormality implies subnormality. For a counter example that shows the converse is not true, consider
Subnormal_operator
Medical condition
functioning Other names Borderline mental retardation, borderline mental subnormality, borderline mental deficiency, borderline mental disability, borderline
Borderline intellectual functioning
Borderline_intellectual_functioning
Archaic psychiatric term to denote intellectual disability
were said to have "moderate mental retardation" or "moderate mental subnormality" with IQ of 35–49, as they are usually capable of some degree of communication
Imbecile
British author (1920–1981)
Tied (1974), which was published by the charity Mencap as part of their Subnormality in the Seventies series. The book provided insight into the lives of
Joey_Deacon
are a special example of the use of filtrations in abstract algebra. A subnormal series (also normal series, normal tower, subinvariant series, or just
Subgroup_series
mental subnormality, moron) 318 Other specified mental retardation 318.0 Moderate mental retardation (Include: imbecile, moderate mental subnormality) 318
List of ICD-9 codes 290–319: mental disorders
List_of_ICD-9_codes_290–319:_mental_disorders
1971 book
lens of the country's "educationally subnormal" (ESN) schools—previously called "schools for the mentally subnormal"—which disproportionately and enrolled
How the West Indian Child Is Made Educationally Sub-normal in the British School System
How_the_West_Indian_Child_Is_Made_Educationally_Sub-normal_in_the_British_School_System
Concept in economics
In economics, profit is the difference between revenue that an economic entity has received from its outputs and total costs of its inputs, also known
Profit_(economics)
Decomposition of an algebraic structure
distinct concept is a chief series: a composition series is a maximal subnormal series, while a chief series is a maximal normal series. If a group G
Composition_series
IEEE standard for floating-point arithmetic
floating-point data, which consist of finite numbers (including signed zeros and subnormal numbers), infinities, and special "not a number" values (NaNs) interchange
IEEE_754
English naturalist and biologist (1809–1882)
Darwin was aged 48 at the time of the birth, and the child was mentally subnormal and never learnt to walk or talk. He probably had Down syndrome, which
Charles_Darwin
Prime Minister of Grenada in 1983
'subnormal' schools". The Guardian. "Subnormal: A British Scandal". Black History Month Magazine. 18 May 2021. Retrieved 26 December 2022. "Subnormal:
Bernard_Coard
Old term for mild intellectual disability
feeble-minded persons were said to have "mild mental retardation", "mild mental subnormality" or "high-grade defect" with IQ in the range 50–70. Following opposition
Moron_(psychology)
Person of low intelligence
were said to have "profound mental retardation" or "profound mental subnormality" with IQ under 20. Until 2007, the California Penal Code Section 26 stated
Idiot
Computer approximation for real numbers
between −UFL and UFL. Namely, positive and negative zeros, as well as subnormal numbers. The IEEE standardized the computer representation for binary
Floating-point_arithmetic
American mathematician (1939–2024)
on his specialty of subnormal operators, titled The Theory of Subnormal Operators (American Mathematical Society) and Subnormal Operators (Pitman Books
John_B._Conway
16-bit computer number format
and 111112 are interpreted specially. The minimum strictly positive (subnormal) value is 2−24 ≈ 5.96 × 10−8. The minimum positive normal value is 2−14
Half-precision floating-point format
Half-precision_floating-point_format
Term in mathematics, group theory
hypernormalizer of any subnormal subgroup is the whole group. For finite groups, this is equivalent to the condition that the normalizer of any subnormal subgroup be
HN_group
Technique used in oil and gas operations to prevent influx of fluids into a wellbore
magnitude of the pore pressure, it is described as normal, abnormal or subnormal. Normal pore pressure or formation pressure is equal to the hydrostatic
Well_control
Computer programming condition
called "flush to zero". The 1984 edition of IEEE 754 introduced subnormal numbers. The subnormal numbers (including zero) fill the underflow gap with values
Arithmetic_underflow
British-Australian psychologist (1917–1997)
learning disabilities, various referred to as intellectual disability or subnormality. He applied the advances in psychology that originated from information
Neil_O'Connor
herself as a man to join the army in order to protect her educationally subnormal son who has been called up to fight in World War I The Wind Rises 2013
List of historical films set in Near Eastern and Western civilization
List_of_historical_films_set_in_Near_Eastern_and_Western_civilization
group in which the property of normality is transitive, that is, every subnormal subgroup is normal. Here are some facts about T-groups: Every simple group
T-group_(mathematics)
Generalized neurodevelopmental disorder
mental handicap had become the common medical term, replacing mental subnormality in Scotland and mental deficiency in England and Wales, until Stephen
Intellectual_disability
Ability to perceive, infer, retain or apply information
(1916) [1905]. "New methods for the diagnosis of the intellectual level of subnormals". The development of intelligence in children: The Binet-Simon Scale.
Intelligence
128-bit computer number format
value 1 unless the exponent is stored with all zeros (used to encode subnormal numbers and zeros). Thus only 112 bits of the significand appear in the
Quadruple-precision floating-point format
Quadruple-precision_floating-point_format
Genetic disorder affecting mostly the lungs
fibrosis mutations: an evaluation of the hypothesis that heterozygotes have subnormal active intestinal chloride secretion". American Journal of Human Genetics
Cystic_fibrosis
Operator type
is probably due to Furuta. Every hyponormal operator (in particular, a subnormal operator, a quasinormal operator and a normal operator) is paranormal
Paranormal_operator
Floating-point values coded as few bits
principles of the IEEE 754 standard. Almost all use the smallest exponent for subnormal and normal numbers. Many use the largest exponent for infinity and NaN
Minifloat
Indian horror thriller film
2025. Kumar, Akshay (9 August 2024). "Park Movie Review: An extremely subnormal paranormal film". Cinema Express. Retrieved 11 August 2024. "பார்க்| Park
Park_(2024_film)
Non-usage of animal products
January 2019. Woo K, Kwok T, Celermajer D (August 2014). "Vegan Diet, Subnormal Vitamin B-12 Status and Cardiovascular Health". Nutrients. 6 (8): 3259–73
Veganism
1973 activist organisation
indiscriminate use of the term ‘mental subnormality’. We intend to fight the condemnation of people as ‘mentally subnormal’ in the absence of any real practical
Mental_Patients'_Union
256-bit computer number format
and 7FFFF16 are interpreted specially. The minimum strictly positive (subnormal) value is 2−262378 ≈ 10−78984 and has a precision of only one bit. The
Octuple-precision floating-point format
Octuple-precision_floating-point_format
Statement in group theory
the Schreier refinement theorem of group theory states that any two subnormal series of subgroups of a given group have equivalent refinements, where
Schreier_refinement_theorem
Medical condition
in those cases, growth hormone is not suggested to accelerate growth. Subnormal vitamin A intake is one of the etiological factors in delayed pubertal
Delayed_puberty
German-born experimental psychologist
11 October 2013. O'Connor, Neil (1962). Speech and Thought in Severe Subnormality. Pergamon Press. Hermelin, Beate (1970). Psychological Experiments with
Beate_Hermelin
64-bit computer number format
with full 15–17 decimal digits precision. By compromising precision, the subnormal representation allows even smaller values up to about 5 × 10−324. The
Double-precision floating-point format
Double-precision_floating-point_format
If the chain is finite between H and G, then H is a subnormal subgroup of G. Then every subnormal subgroup of G is serial. If the chain C is well-ordered
Serial_subgroup
the requirements of a normal operator. Every quasinormal operator is a subnormal operator. Every quasinormal operator on a finite-dimensional Hilbert space
Quasinormal_operator
Slums in the Brazilian city
314 inhabitants. In its metropolitan region, 1,702,073 people live in "subnormal settlements" ("assentamentos subnormais"), the government's definition
Favelas in the city of Rio de Janeiro
Favelas_in_the_city_of_Rio_de_Janeiro
American songwriter (1888–1989)
to be superficial, overtrained, supersensitive. The lowbrow is warped, subnormal. My public is the real people. — Irving Berlin Some of the songs Berlin
Irving_Berlin
Name list
in the sitcom Parks and Recreation Ethel Blackmore, in the webcomic Subnormality Ethel Cain, from Ethel Cain's story. Ethel Hallow, in The Worst Witch
Ethel
Capital city of Goiás, Brazil
Statistics, the IBGE. The IBGE named seven areas in Goiânia as being "subnormal agglomerations", a government term for irregular housing. In these locales
Goiânia
Derogatory term for mobile home dwellers
to work in the shipyards there were from the backwoods of the South, "subnormal swamp and mountain folk" whom the locals described as "vermin"; elsewhere
Trailer_trash
finite group is a subnormal subgroup. This follows from the somewhat stronger statement that every conjugate permutable subgroup is subnormal, which in turn
Quasinormal_subgroup
Floating-point accuracy metric
− p + 1 {\displaystyle \operatorname {ulp} (x)=b^{e_{\min }-p+1}} for subnormals. Another definition, suggested by John Harrison, is slightly different:
Unit_in_the_last_place
Britain's youngest female killer (born 1957)
reminiscent of the fictional Svengali" over Norma, who, he conceded, was "of subnormal intelligence", stating: "I forecast to you that the younger girl—although
Mary_Bell
32-bit computer number format
values 0 (all 0s) and 255 (all 1s) are reserved for special numbers (subnormal numbers, signed zeros, infinities, and NaNs). The true significand of
Single-precision floating-point format
Single-precision_floating-point_format
1972 murder in London, England
how police treat suspects, particularly minors and the "educationally subnormal". This ultimately led to the introduction of appropriate adults to the
Murder_of_Maxwell_Confait
English educational psychologist (1883–1971)
Company. Republished London: Allen & Unwin (1945). Burt, C.L. (1935). The Subnormal Mind. London: Oxford University Press. Republished London: Oxford University
Cyril_Burt
Failure of the brain to process input from one eye
"The association between nonstrabismic anisometropia, amblyopia, and subnormal binocularity". Ophthalmology. 108 (1): 163–71. doi:10.1016/s0161-6420(00)00425-5
Amblyopia
Genetic disorder
strabismus (ocular misalignment), particularly esotropia, due to inherent subnormal binocular visual function and cognitive deficits in visuospatial construction
Williams_syndrome
Abstract algebra subgroup
series may be infinite. If the series is finite, then the subgroup is subnormal. Ascendant subgroup Martyn R. Dixon (1994). Sylow Theory, Formations,
Descendant_subgroup
series is a maximal normal series, while a composition series is a maximal subnormal series. Chief series can be thought of as breaking the group down into
Chief_series
2009 science fiction thriller film directed by Olatunde Osunsanmi
who put an alien in his freezer — than investigating this evidence of subnormal activity." Ian Buckwalter of NPR likened the film to a "cinematic version
The_Fourth_Kind
Category 5 Atlantic hurricane in 1935
precaution be taken to protect them. If they fell into this category they were subnormal men and should have been treated as such. If they were incapable of caring
1935_Labor_Day_hurricane
Concept in group theory
In mathematics, specifically group theory, the stability group of a subnormal series is the group of automorphisms that act as the identity on each quotient
Stability_group
Floating-point number formats
They will generate a subnormal if an underflow occurs but will generate a normalized result if subsequent operations on the subnormal can be normalized.
Extended_precision
AI accelerator ASIC by Google
point numbers, which the standard float16 cannot do (without resorting to subnormal numbers) as it only has five bits for the exponent. In a 2023 court filing
Tensor_Processing_Unit
Methods of safely sharing general data
Keaton; Jhala, Ranjit; Lerner, Sorin; Shacham, Hovav (May 2015). "On Subnormal Floating Point and Abnormal Timing". 2015 IEEE Symposium on Security and
Differential_privacy
of the proof that for finite groups, every quasinormal subgroup is a subnormal subgroup. Clearly, every quasinormal subgroup is conjugate-permutable
Conjugate-permutable_subgroup
Historical intelligence test
mentality. The labels an examiner could choose were 'supernormal', 'normal', 'subnormal', 'backward' or 'feeble-minded'. These labels could also be linked to
Binet–Simon_Intelligence_Test
1979 United States Supreme Court case
could demonstrate a reduced market price, or the goods were defective or "subnormal". It did not permit companies to write down goods simply because they
Thor Power Tool Co. v. Commissioner
Thor_Power_Tool_Co._v._Commissioner
Branch of psychology
mental disorders. Abnormal includes three different categories; they are subnormal, supernormal and paranormal. The science of abnormal psychology studies
Abnormal_psychology
American psychologist and eugenicist (1866–1957)
1914 became the first American psychologist to testify in court that subnormal intelligence should limit the criminal responsibility of defendants. Goddard
Henry_H._Goddard
Hospital in England
The Mary Dendy Hospital was a hospital for the "mentally subnormal" located in Great Warford, Cheshire, England. The hospital was founded as the Sandlebridge
Mary_Dendy_Hospital
Type of solvable group in mathematics
view. Equivalently, a group G is polycyclic if and only if it admits a subnormal series with cyclic factors, that is a finite set of subgroups, let's say
Polycyclic_group
Curve with axes measuring the area of another curve
between the y {\displaystyle y} -coordinates on the first curve and the subnormals of the second, the difference between the x {\displaystyle x} -coordinate
Quadratrix
Type of subgroup in group theory
series is finite, then the subgroup is subnormal. Here are some properties of ascendant subgroups: Every subnormal subgroup is ascendant; every ascendant
Ascendant_subgroup
Instruction set extension by Intel
(FTZ) nor conditionally treated as zero (DAZ) based on MXCSR settings. Subnormal values are processed at full speed by hardware to facilitate using the
AVX-512
Aesthetic technique
cellulite reduction using vertically penetrating needles that target the subnormal plane. Due to radiation of high-energy radio frequency, several patients
Radio-frequency skin tightening
Radio-frequency_skin_tightening
Linear operator in mathematics
ISBN 978-0-8218-1940-1 Tomeo, V.; Torrano, E. (2011). "Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials".
Composition_operator
the Assiniboia Gallery, Mysteria and the McIntyre Gallery. Also see Subnormality (webcomic). Regina Public Library Interactive Media and Performance labs
Culture in Regina, Saskatchewan
Culture_in_Regina,_Saskatchewan
Rage comics Sin Titulo by Cameron Stewart Sugarshock! by Joss Whedon Subnormality by Winston Rowntree Art Comics Daily by Bebe Williams, 1995 – 2007 Polymer
2007_in_webcomics
Immature red blood cell
adequate erythroid response to anemia. An IRF of more than 0.23 but a subnormal or normal absolute reticulocyte count (with a corresponding reticulocyte
Reticulocyte
1890s–1920s US political reform movement
trust. He sponsored the building of hospitals and institutions for the subnormal, game and fish laws, temperance, laws to eradicate ticks and tuberculosis
Progressive_Era
Mathematical concept
normal to the curve at P intersects the x-axis at N then AN is called the subnormal. In this context, the lengths PT and PN are called the tangent and normal
Subtangent
English drug smuggler
since childhood. A painter and decorator, Derrick Gregory was mentally subnormal as a result of childhood illness. Having spent much of his youth in special
Derrick_Gregory
Number type in floating-point arithmetic
smallest normal number are called subnormal numbers (or denormal numbers). Zero is considered neither normal nor subnormal. Normalized number Half-precision
Normal_number_(computing)
1972 report of Parliamentary Committee review of UK Nursing
Briggs report : a discussion paper on the future role and training of subnormality nurses, and their relationship with residential care staff". The King's
Briggs_Report
Open-source CPU instruction set architecture
cause exceptions on arithmetic errors, including overflow, underflow, subnormal, and divide by zero. Instead, both integer and floating-point arithmetic
RISC-V
Kam; Kwok, Timothy; Celermajer, David (19 August 2014). "Vegan Diet, Subnormal Vitamin B-12 Status and Cardiovascular Health". Nutrients. 6 (8): 3259–3273
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
2018 Spanish film
first, Montes complains about coaching the disabled players calling them subnormales (below normal). However, as he continues to coach the team, he realizes
Champions_(2018_film)
Shanty town or slum in Brazil
aglomerados subnormais" [2010 Census: 11.4 million Brazilians (6.0%) live in subnormal agglomerations] (in Brazilian Portuguese). IBGE. 21 December 2011. Archived
Favela
Inability to focus on distant objects
posterior staphyloma, and associated with a high refractive error and subnormal visual acuity after correction. This form of myopia gets progressively
Myopia
Batholith in the Sierra Nevada mountain range, United States
60-50Ma) as the block cooled, followed by a relatively stable period of subnormal geothermal gradients (5-15 °C/km) throughout the Cenozoic. Modeling of
Sierra_Nevada_Batholith
Medical condition
testing), in particular: Subnormal frequency and amplitude of GH secretory peaks when sampled over several hours Subnormal GH secretion in response to
Growth_hormone_deficiency
British ethnic group
Caribbean migrant children were (often wrongly) classified as "educationally subnormal" and placed in special schools and units. By the end of the 1980s, the
British African-Caribbean people
British_African-Caribbean_people
Family of RISC-based computer architectures
128 bits at a time. A quirk of Neon in Armv7 devices is that it flushes all subnormal numbers to zero, and as a result the GCC compiler will not use it unless
ARM_architecture_family
Spanish professional football club
Machine; 20 Minutos, 16 February 2006 (in Spanish) Dimitri Piterman llama "subnormales" a los aficionados del Alavés (Dimitri Piterman calls Alavés' fans "morons")
Deportivo_Alavés
Metabolic bone disease
mineralization, leading to rickets or osteomalacia. The pathognomonic finding is subnormal serum activity of the TNSALP enzyme, which is caused by one of 388 genetic
Hypophosphatasia
Lists diseases that drugs cannot claim to treat in India
capacity of the human being for sexual pleasure Mental retardation, subnormalities and growth Myocardial infarction Obesity Paralysis Parkinsonism Piles
Schedule_J
Vitamin used in animal cell metabolism
PMID 23356638. Woo KS, Kwok TC, Celermajer DS (August 2014). "Vegan diet, subnormal vitamin B-12 status and cardiovascular health". Nutrients. 6 (8): 3259–3273
Vitamin_B12
Stages in the development of children
detailed histories of care provision, which demonstrate the duration of subnormal exposure to care, stimulation, and nutrition. Common guidance suggests
Child_development
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