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Mathematical approximation
In mathematics, a smooth maximum of an indexed family x1, ..., xn of numbers is a smooth approximation to the maximum function max ( x 1 , … , x n )
Smooth_maximum
Smooth approximation to the maximum function
RealSoftMax or multivariable softplus) function is a smooth maximum – a smooth approximation to the maximum function, mainly used by machine learning algorithms
LogSumExp
Greatest and least values in a statistical data sample
it often needs to be approximated by a smooth function that is close to the maximum of the set. A smooth maximum, for example, g(x1, x2, …, xn) = log(
Sample_maximum_and_minimum
Smooth approximation of one-hot arg max
"softmax" may be misleading. Softmax is not a smooth maximum (that is, a smooth approximation to the maximum function). The term "softmax" is also used for
Softmax_function
Method of estimating the parameters of a statistical model, given observations
In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed
Maximum_likelihood_estimation
address these issues, Joel Horowitz proposed a variant, called the smoothed maximum score estimator. When modelling discrete choice problems, it is assumed
Maximum_score_estimator
1984 single by Sade
"Smooth Operator" is a song by English band Sade from their debut studio album, Diamond Life (1984); it was co-written by Sade Adu and Ray St. John and
Smooth_Operator
Semiring arising in tropical analysis
maximum or minimum. The log-semiring has applications in mathematical optimization, since it replaces the non-smooth maximum and minimum by a smooth operation
Log_semiring
Global warming about 55 million years ago
thermal maximum (PETM), alternatively "Eocene thermal maximum 1 (ETM1)" and formerly known as the "Initial Eocene" or "Late Paleocene thermal maximum", was
Paleocene–Eocene thermal maximum
Paleocene–Eocene_thermal_maximum
Generalization of addition, multiplication, exponentiation, tetration, etc.
{\displaystyle H_{4}(2,4)} converges to 65536 in 2863311767 steps, the maximum depth of recursion is 65534. The computation according to the rules {r6
Hyperoperation
Activation of tension-generating sites in muscle
skeletal muscle, the contractions of smooth and cardiac muscles are myogenic (meaning that they are initiated by the smooth or heart muscle cells themselves
Muscle_contraction
Species of fish
rock at depths from near the surface to 8 metres (26 ft). It can reach a maximum length of 2.9 centimetres (1.1 in) SL. This species is currently the only
Leurochilus_acon
Generalization of means
linear subtraction.) The LogSumExp function is a smooth maximum: It is a smooth approximation to the maximum function. The following properties hold for
Quasi-arithmetic_mean
Regular period of greatest solar activity
Solar maximum is the regular period of greatest solar activity during the Sun's 11-year solar cycle. During solar maximum, large numbers of sunspots appear
Solar_maximum
Species of shark
Sharks portal The common smooth-hound (Mustelus mustelus) is a houndshark of the family Triakidae. It is found in the eastern Atlantic Ocean from the British
Common_smooth-hound
Solar activity from 2019 to about 2030
in April 2020 (± 6 months), and the number of sunspots reaching a (smoothed) maximum of 115 in July 2025 (± 8 months). This prediction is in line with
Solar_cycle_25
Species of fish
body when viewed head on. The smooth trunkfish has an angular body sheathed in plate-like scales, growing to a maximum length of 47 cm (19 in), though
Smooth_trunkfish
Species of fish
8–102 metres, usually around rocks. Males can reach a maximum total length of 15 centimetres. The smooth alligatorfish is preyed upon by the Pacific halibut
Smooth_alligatorfish
Algorithm to smooth data points
are plotted on a scale of half width, relative to the peak maximum at zero. The smoothed curve (red line) and 1st derivative (green) were calculated
Savitzky–Golay_filter
Species of shark
next to the great hammerhead, the smooth hammerhead typically measures 2.5–3.5 m (8.2–11.5 ft) long, with a maximum recorded length and weight of 5 m
Smooth_hammerhead
Species of amphibian
The smooth newt, European newt, northern smooth newt or common newt (Lissotriton vulgaris) is a species of newt. It is widespread in Europe and parts
Smooth_newt
Theorem in complex analysis
origin, the function −x2−y2 certainly has a maximum. Let M denote an open subset of Euclidean space. If a smooth function u : M → R {\displaystyle u:M\to
Maximum_principle
Solar activity from December 2008 to December 2019
minimum smoothed sunspot number of 2.2,[failed verification] and ended in December 2019. Activity was minimal until early 2010. It reached its maximum in April
Solar_cycle_24
Method of smoothing using a spline function
Smoothing splines are function estimates, f ^ ( x ) {\displaystyle {\hat {f}}(x)} , obtained from a set of noisy observations y i {\displaystyle y_{i}}
Smoothing_spline
Species of sea snail
anteriorly. Sides of body whorl nearly straight; interior purple. Shoulder smooth. Maximum shell length 7.5 cm, commonly to 4 cm. The color of the shell is yellowish
Conus_flavidus
Principle in Bayesian statistics
The principle of maximum entropy states that, among all probability distributions consistent with a given set of constraints (such as normalization or
Principle_of_maximum_entropy
Two-dimensional shape
The smoothed octagon is a region in the plane found by Karl Reinhardt in 1934 and conjectured by him to have the lowest maximum packing density of the
Smoothed_octagon
1997 arcade game
that Maximum Force was superior to most games in that style, including Area 51. In particular, they praised the sound effects and the smoothly animated
Maximum_Force
Generates a forecast of future values of a time series
Exponential smoothing or exponential moving average (EMA) is a technique for smoothing time series data using the exponential window function. Whereas
Exponential_smoothing
Calculation of investment performance
ratio was superior because The Calmar ratio changes gradually and serves to smooth out the overachievement and underachievement periods of a CTA's performance
Calmar_ratio
Maximum theoretical efficiency of a solar cell
Shockley–Queisser limit, Shockley–Queisser efficiency limit or SQ limit) is the maximum theoretical efficiency of a solar cell using a single p–n junction to collect
Shockley–Queisser_limit
Notion in statistics
of the posterior distribution, provided that the prior is sufficiently smooth (a result known as Bernstein–von Mises theorem, which was anticipated by
Fisher_information
Method of hydrodynamics simulation
Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid
Smoothed-particle hydrodynamics
Smoothed-particle_hydrodynamics
Species of flowering plant
Urospermum dalechampii, the smooth golden fleece or simply the golden-fleece, is a perennial herbaceous plant belonging to the genus Urospermum of the
Urospermum_dalechampii
Airspeed limitation selected by the designer of the aircraft
where VA is maneuvering speed (at maximum weight), W2 is actual weight, W1 is maximum weight. Some aircraft have a maximum operating maneuvering speed VO
Maneuvering_speed
Brand of GPUs by Nvidia
Overrides and Smooth Motion now available". VideoCardz.com. Retrieved January 31, 2025. Khan, Sarfraz (January 31, 2025). "NVIDIA Smooth Motion Will Be
GeForce
Mexican breed of dog
6 lb) are disqualified from exhibition. The American breed standard sets a maximum weight of 2.7 kg (5.9 lb) for showing. In the British standard a weight
Chihuahua_(dog_breed)
Species of shark
length of mature gray smooth-hounds ranges from around 50–160 cm (19.7-63.0 in). Females mature at a larger size and have a larger maximum reported size than
Gray_smooth-hound
Standard terms to define airspeeds
speeds for the aircraft at its maximum weight. The yellow band is the range in which the aircraft may be operated in smooth air, and then only with caution
V_speeds
Species of flowering plant
flowering plant in the family Asteraceae known by the common name smooth tidytips, or smooth layia. It is endemic to California, where it lives in several
Layia_chrysanthemoides
Engineer, academic, and author
problems using a maximum-likelihood (seismic) deconvolution (MLD) approach, which involves utilizing state-variable technology (smoothing), maximum-likelihood
Jerry_M._Mendel
2000 video game
and surprisingly addictive, but the title should have been significantly smoother, both visually and in terms of playability." Brett Todd of Computer Games
Dave Mirra Freestyle BMX (video game)
Dave_Mirra_Freestyle_BMX_(video_game)
Species of ray-finned fish
side. The adults are smooth skinned but the skin of juveniles is covered with small rough bumps. This species attains a maximum published total length
Smooth_horsefish
Algorithm that estimates unknowns from a series of measurements over time
version of the above smoother is described in. Expectation–maximization algorithms may be employed to calculate approximate maximum likelihood estimates
Kalman_filter
Choice between two or more discrete alternatives
1016/0304-4076(75)90032-9. ISSN 0304-4076. Horowitz, Joel L. (1992). "A Smoothed Maximum Score Estimator for the Binary Response Model". Econometrica. 60 (3)
Discrete_choice
Method of estimating the parameters of a statistical model
In Bayesian statistics, the maximum a posteriori (MAP) estimate of an unknown quantity is the mode of the posterior density. The MAP can be used to obtain
Maximum a posteriori estimation
Maximum_a_posteriori_estimation
Large-screen film format
possible names we could think of. We kept working with the idea of the maximum image. We turned it around and came up with IMAX. The name change actually
IMAX
Species of fish
known as the rippled blenny, smooth-lipped blenny, toothless blenny, or coral blenny. Males of this species can reach a maximum of 16 cm (6.3 in) TL, while
Istiblennius_edentulus
Sensory organ of vision
relatively easy, though the eyes will often make saccades to keep up. The smooth pursuit movement can move the eye at up to 100°/s in adult humans. It is
Human_eye
Statistical modeling method
squares Weighted least squares Generalized least squares Linear Template Fit Maximum likelihood estimation can be performed when the distribution of the error
Linear_regression
Species of ray-finned fish
The smooth sandeel (Gymnammodytes semisquamatus) is a species of sand eel in the family Ammodytidae. It maximum length is 30 cm (12 in), typical adults
Smooth_sandeel
Species of fish
The smooth-eye poacher (Xeneretmus leiops) is a fish in the family Agonidae. It was described by Charles Henry Gilbert in 1915. It is a marine, Temperate
Smooth-eye_poacher
Statistical method
the smooth bootstrap distribution appear below. The bootstrap distribution of the sample-median has only a small number of values. The smoothed bootstrap
Bootstrapping_(statistics)
Species of snake
broad-snouted caimans, spectacled caimans, yacare caimans, black caimans, smooth-fronted caimans, wattled jacanas, capybaras, red-rumped agoutis, collared
Green_anaconda
Mathematical abstraction of level sets
space does not have the structure of a finite graph. Even for a smooth function on a smooth manifold, the Reeb graph can be not one-dimensional and even
Reeb_graph
Species of fish
The smooth-headed catfish (Plicofollis nella), also known as the shieldhead catfish, is a species of catfish in the family Ariidae. It was described by
Smooth-headed_catfish
continuous real-valued function in a domain in Euclidean space with sufficiently smooth boundary is harmonic in the interior and the value of the function at a
Hopf_lemma
Species of shark
between 15 and 210 metres (50 and 690 ft). Humpback smooth-hound sharks are small sharks, reaching a maximum size of 118 cm (46 in) in total length. Mustelus
Humpback_smooth-hound
Measurement technique
uncertainty depends mainly on the roughness of the measured surface. For smooth surfaces, the accuracy of the measurement is limited by the accuracy of
White_light_interferometry
Smoothness of clastic particles
Roundness is the degree of smoothing due to abrasion of sedimentary particles. It is expressed as the ratio of the average radius of curvature of the
Roundness_(geology)
Species of flowering plant
species of flowering plant in the family Asteraceae known by the common names smooth goldfields and rayless goldfields. It is native to western North America
Lasthenia_glaberrima
Family of demersal cephalopod
communication element: chromatic (skin coloration), skin texture (e.g. rough or smooth), posture, and locomotion. The common cuttlefish can display 34 chromatic
Cuttlefish
Highest-ranking category of trains operated by PKP Intercity
Gdynia, Katowice, Kołobrzeg, Kraków, Rzeszów, Szczecin, and Wrocław. The maximum speed of EIP trains is 200 km/h, making it the highest speed achieved in
Express_InterCity_Premium
Motion of multibody systems
systems with unilateral contacts and friction are the regularized and the non-smooth approach. In the following, the two approaches are introduced using a simple
Contact_dynamics
Smoothed ramp function
f ( x ) = ln ( 1 + e x ) . {\displaystyle f(x)=\ln(1+e^{x}).} It is a smooth approximation (in fact, an analytic function) to the ramp function, which
Softplus
Fast Fourier Transform (FFT). This increases the computational speed. Smoothing window will help us smoothen the estimate by multiplying the periodogram
Multidimensional spectral estimation
Multidimensional_spectral_estimation
Species of fish
species attains a maximum total length of 85 centimetres (33 in) and the maximum published weight is 10.5 kilograms (23 lb). The smooth grouper is found
Smooth_grouper
Species of fish
Leptochilichthys agassizii, or Agassiz' smooth-head, is a species of fish in the family Alepocephalidae. It is named for the scientist and engineer Alexander
Leptochilichthys_agassizii
Tabular arrangement of the chemical elements
for example many properties in the p-block show a zigzag rather than a smooth trend along the group. For example, phosphorus and antimony in odd periods
Periodic_table
other smoothing technique) of a time series, and is similar to other nonlinear smoothing techniques, such as Tukey or median smoothing. LULU smoothers are
Lulu_smoothing
Graph in economics
point on the y-isoquant is on a lower isocost line. If the y-isoquant is smooth and convex to the origin and the cost-minimizing bundle involves a positive
Isocost
American science fiction television series
Data's origins. Also, the Enterprise episode "Affliction" helps explain the smooth-headed Klingons that sometimes appeared, a retcon that helped explain this
Star Trek: The Next Generation
Star_Trek:_The_Next_Generation
radiocarbon 14C proxy, for the last millennium. The smoothing is done using the traditional SIDC smoothing algorithm. Using this algorithm, if the month in
List_of_solar_cycles
Statistics models class
validation, or by restricted maximum likelihood (REML, sometimes known as 'GML') which exploits the duality between spline smoothers and Gaussian random effects
Generalized_additive_model
The Hopf maximum principle is a maximum principle in the theory of second order elliptic partial differential equations and has been described as the "classic
Hopf_maximum_principle
Species of shark
the pups measure about 28 cm (11 in) at birth. Maximum recorded age is nine years. The spotless smooth-hound is used for human consumption of its flesh
Spotless_smooth-hound
Measure of variation in statistics
average daily maximum temperatures for two cities, one inland and one on the coast. It is helpful to understand that the range of daily maximum temperatures
Standard_deviation
Communication connector using the USB protocol
2013, along with USB 3.1, up to 100 W; and USB PD 3.1 in 2021 raised the maximum to 240 W. USB has been selected as the charging format for many mobile
USB_hardware
Country in Southern and Western Europe
dimension to love poetry. This new understanding of love, expressed in a smooth style, influenced the Florentine poet Dante Alighieri, who established the
Italy
Physical quantity of hot and cold
averaging out or smoothing out any potential temperature discontinuities in a system as such discontinuities cannot always be averaged or smoothed out. Temperature
Temperature
Extinct carnivorous marsupial from Australasia
thylacine resembled a large, short-haired dog with a stiff tail which smoothly extended from the body in a way similar to that of a kangaroo. The mature
Thylacine
constant or varies smoothly, and may change direction as many as four or five times. Howls used for calling pack mates to a kill are long, smooth sounds similar
Wolf_communication
Medication against high blood pressure
ions into vascular smooth muscle cells and cardiac muscle cells which inhibits the contraction of cardiac muscle and vascular smooth muscle cells. Amlodipine
Amlodipine
Species of fish
Its maximum length is 34 centimetres (13 in). They grow rapidly from infancy; few juveniles of intermediate size are found. The longfin smooth-head lives
Longfin_smooth-head
Oral sex on the penis by a sexual partner
One method is the sex partner taking the penis into the mouth and moving smoothly up and down to a rhythm while being careful to avoid contact with the teeth
Fellatio
Country in Southern and Western Europe
migrants per year". Euronews. 4 November 2024. Conversi, Daniele (2002). "The Smooth Transition: Spain's 1978 Constitution and the Nationalities Question" (PDF)
Spain
American wide-body trijet airliner
purchase price. The TriStar's design featured a twin-aisle interior with a maximum of 400 passengers and a three-engine layout. The TriStar was originally
Lockheed_L-1011_TriStar
Gun designed to generate very high speed
manufactured by PAI and delivered in 2015. It has two barrels: a 15 foot, two inch smooth bore and a 13 foot, two inch slotted bore. The slotted bore allows for pressure-shear
Light-gas_gun
Species of hornwort
Phaeoceros laevis, the smooth hornwort, is a species of hornwort of the genus Phaeoceros. It is commonly found in areas where moisture is plentiful, such
Phaeoceros_laevis
Species of tree
smooth-barked apple, is a species of tree that is endemic to eastern Australia. Reaching 30 m (100 ft) in height, the species has distinctive smooth bark
Angophora_costata
Protein found in humans
hypocontractility to phenylephrine. Vas deferens smooth muscle from calponin 1 knockout mice showed faster maximum shortening velocity. Calponin 1 knockout mice
Calponin_1
Third planet from the Sun
and without any perturbations such as tides and winds. The result is a smooth but irregular geoid surface, providing a mean sea level as a reference level
Earth
Genus of Late Cretaceous theropod
predation-based diet rather than obligate scavenging. A 2009 study showed that smooth-edged holes in the skulls of several specimens might have been caused by
Tyrannosaurus
Mechanical constraint which prevents penetration between two bodies
rigid/flexible bodies. Constraints of this kind are omnipresent in non-smooth multibody dynamics applications, such as granular flows, legged robot, vehicle
Unilateral_contact
American singer (born 1967)
said "he's washed up, he's lost it." He hasn't. Dude's voice is in prime smooth R&B form". On December 21, 2011, Kelly made a live appearance on The X Factor
R._Kelly
Digital optical disc format
specification defines a maximum data transfer rate of 54 Mbit/s, a maximum AV bitrate of 48 Mbit/s (for both audio and video data), and a maximum video bit rate
Blu-ray
Machine that uses steam to rotate a shaft
friction as the steam flows around the blades ( k = 1 {\displaystyle k=1} for smooth blades). η b = 2 U Δ V w V 1 2 = 2 U V 1 ( cos α 1 − U V 1 ) ( 1 + k c
Steam_turbine
Species of flowering plant
Ceriops australis, the yellow mangrove or smooth-fruited yellow mangrove, is a species of mangrove in the family Rhizophoraceae, native to tropical northern
Ceriops_australis
Basilica under construction since 1882 in Barcelona, Spain
comprehensive and rich, consisting in large part of abstract shapes which combine smooth curves and jagged points. Even detail-level work such as the iron railings
Sagrada_Família
Small domesticated carnivorous mammal
suction. Lapping at a rate of four times a second, the cat touches the smooth tip of its tongue to the surface of the water, and quickly retracts it like
Cat
SMOOTH MAXIMUM
SMOOTH MAXIMUM
Boy/Male
Tamil
Smooth
Girl/Female
Indian, Telugu
Inspiration
Girl/Female
Hindu, Indian
Soft; Smooth
Surname or Lastname
English (south and south Midlands)
English (south and south Midlands) : variant spelling of Laing.
Girl/Female
Hindu, Indian
Smooth
Girl/Female
Indian, Telugu
Smooth
Surname or Lastname
English (South Yorkshire)
English (South Yorkshire) : unexplained.
Boy/Male
Australian, Chinese, Danish, Latin
Smooth; Polished
Surname or Lastname
English
English : from Middle English south, hence a topographic name for someone who lived to the south of a settlement or a regional name for someone who had migrated from the south.
Surname or Lastname
English
English : occupational name for a worker in metal, from Middle English smith (Old English smið, probably a derivative of smītan ‘to strike, hammer’). Metal-working was one of the earliest occupations for which specialist skills were required, and its importance ensured that this term and its equivalents were perhaps the most widespread of all occupational surnames in Europe. Medieval smiths were important not only in making horseshoes, plowshares, and other domestic articles, but above all for their skill in forging swords, other weapons, and armor. This is the most frequent of all American surnames; it has also absorbed, by assimilation and translation, cognates and equivalents from many other languages (for forms, see Hanks and Hodges 1988).
Girl/Female
Hindu, Indian
Smooth
Boy/Male
Hindu, Indian
Smooth; Tender
Boy/Male
Indian
Smooth
Girl/Female
Arabic, Indian
Smooth; Soft
Girl/Female
German, Polish
Smooth-brow
Boy/Male
Hindu, Indian
Smooth
Female
Egyptian
, Child of Mouth.
Boy/Male
Latin American English Irish Norse
Smooth.
Boy/Male
Greek, Indian
Smooth Rock
Boy/Male
Chinese
Smooth.
SMOOTH MAXIMUM
SMOOTH MAXIMUM
Boy/Male
Muslim
Forgiver, Merciful
Male
English
English occupational surname transferred to forename use, from the Middle English word kempe "athlete, wrestler," from Old English kempa, KEMP means "champion, warrior."
Girl/Female
Russian
Pure.
Surname or Lastname
English
English : patronymic from a short form of Samuel.
Girl/Female
Greek
New moon.
Girl/Female
Muslim
Flute
Girl/Female
Hindu
Dazzling bright
Boy/Male
British, English, Hindu, Indian
Musical Instrument of Goddess Saraswati
Girl/Female
Arabic, Hindu, Indian, Muslim
Quarter Moon
Boy/Male
Anglo, British, English, Jamaican
From the White Hill
SMOOTH MAXIMUM
SMOOTH MAXIMUM
SMOOTH MAXIMUM
SMOOTH MAXIMUM
SMOOTH MAXIMUM
adv.
From the south; as, the wind blows south.
a.
To palliate; to gloze; as, to smooth over a fault.
imp. & p. p.
of Smooth
n.
The act of making smooth; a stroke which smooths.
v. t.
To make smooth.
a.
Having a smooth tongue; plausible; flattering.
v. i.
To put mouth to mouth; to kiss.
a.
Speaking smoothly; plausible; flattering; smooth-tongued.
a.
To make smooth; to make even on the surface by any means; as, to smooth a board with a plane; to smooth cloth with an iron.
a.
To assuage; to mollify; to calm; to comfort; as, to soothe a crying child; to soothe one's sorrows.
superl.
Having an even surface, or a surface so even that no roughness or points can be perceived by the touch; not rough; as, smooth glass; smooth porcelain.
a.
Having a smooth chin; beardless.
a.
To give a smooth or calm appearance to.
adv.
Smoothly.
v. t.
To smooth.
adv.
In a smooth manner.
n.
That which is smooth; the smooth part of anything.
superl.
Gently flowing; moving equably; not ruffled or obstructed; as, a smooth stream.
superl.
Evenly spread or arranged; sleek; as, smooth hair.
n.
One who, or that which, smooths.