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See searches and references containing STANDARD L-FUNCTION!STANDARD L-FUNCTION
Mathematical concept
mathematics, the term standard L-function refers to a particular type of automorphic L-function described by Robert P. Langlands. Here, standard refers to the
Standard_L-function
S-shaped curve
+\infty } is L {\displaystyle L} . The exponential function with negated argument ( e − x {\displaystyle e^{-x}} ) is used to define the standard logistic
Logistic_function
Function from the limited hyperreal to the real numbers
the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard part function "rounds
Standard_part_function
Mathematical concept
In mathematics, an automorphic L-function is a function L(s,π,r) of a complex variable s, associated to an automorphic representation π of a reductive
Automorphic_L-function
constructed their convolution L-functions, now thought of as the Langlands L-function associated to the tensor product of standard representation of GL(2) with
Rankin–Selberg_method
Sigmoid shape special function
error function has the following interpretation: for a real random variable Y {\displaystyle Y} that is normally distributed with mean 0 and standard deviation
Error_function
Probability distribution
^{2}} . The standard approach to this problem is the maximum likelihood method, which requires maximization of the log-likelihood function: ln L ( μ , σ
Normal_distribution
Space of bounded sequences
Σ , μ ) {\displaystyle L^{\infty }=L^{\infty }(X,\Sigma ,\mu )} , the vector space of essentially bounded measurable functions with the essential supremum
L-infinity
Description of the average spectral sensitivity of human visual perception of brightness
efficiency function generally refers to the photopic luminous efficiency function. The CIE photopic luminous efficiency function y(λ) or V(λ) is a standard function
Luminous_efficiency_function
Method of solution to differential equations
that if L {\displaystyle L} is a linear differential operator, then the Green's function G {\displaystyle G} is the solution of the equation L G = δ ,
Green's_function
Standardized literary variety of Arabic
Mohammad. Modern Standard Arabic. Wiley-Blackwell, 2011, p. 24. Holes, C.; Allen, R. (2004). Modern Arabic: Structures, Functions, and Varieties. Georgetown
Modern_Standard_Arabic
Uniform distribution on an interval
{t^{n-1}}{L^{n}}}1\!\!1_{[0,L]}(t),} where 1 1 [ 0 , L ] {\displaystyle 1\!\!1_{[0,L]}} is the indicator function of [ 0 , L ] . {\displaystyle [0,L].} The confidence
Continuous uniform distribution
Continuous_uniform_distribution
Description of continuous random distribution
probability distribution function and probability function can also denote the probability density function. However, this use is not standard among probabilists
Probability_density_function
Probability that random variable X is less than or equal to x
cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,
Cumulative distribution function
Cumulative_distribution_function
Measure of variation in statistics
_{i=1}^{N}p_{i}x_{i}\,.} The standard deviation of a continuous real-valued random variable X with probability density function p(x) is σ = ∫ X ( x − μ )
Standard_deviation
C standard library header file
a group of functions in the standard library of the C programming language implementing basic mathematical functions. Different C standards provide different
C_mathematical_functions
Point to which functions converge in analysis
f(x) to every input x. We say that the function has a limit L at an input p, if f(x) gets closer and closer to L as x moves closer and closer to p. More
Limit_of_a_function
Special mathematical functions defined on the surface of a sphere
[ L z , L + ] = L + , [ L z , L − ] = − L − , [ L + , L − ] = 2 L z . {\displaystyle [L_{z},L_{+}]=L_{+},\quad [L_{z},L_{-}]=-L_{-},\quad [L_{+},L_{-}]=2L_{z}
Spherical_harmonics
Russian cryptographic hash function
The GOST hash function, defined in the standards GOST R 34.11-94 and GOST 34.311-95 is a 256-bit cryptographic hash function. It was initially defined
GOST_(hash_function)
Statistics function
In statistics, the Q-function is the tail distribution function of the standard normal distribution. In other words, Q ( x ) {\displaystyle Q(x)} is the
Q-function
General-purpose functional programming language
functional languages, a key feature of Standard ML is the function, which is used for abstraction. The factorial function can be expressed as follows: fun factorial
Standard_ML
Multivalued function in mathematics
) 6 L 1 3 + L 2 ( − 12 + 36 L 2 − 22 L 2 2 + 3 L 2 3 ) 12 L 1 4 + ⋯ = L 1 − L 2 + ∑ ℓ = 1 ∞ 1 L 1 ℓ ∑ m = 1 ℓ ( − 1 ) ℓ − m [ ℓ ℓ − m + 1 ] m ! L 2 m
Lambert_W_function
Color space defined by the CIE in 1931
accurate luminosity curves; see Luminosity function#Improvements to the standard. Harris, A. C.; Weatherall, I. L. (September 1990). "Objective evaluation
CIE_1931_color_space
Statistical function that defines the quantiles of a probability distribution
probability distribution's quantile function is the inverse of its cumulative distribution function. That is, the quantile function of a distribution D {\displaystyle
Quantile_function
Smooth approximation of one-hot arg max
components will correspond to larger probabilities. Formally, the standard (unit) softmax function σ : R K → ( 0 , 1 ) K {\displaystyle \sigma :\mathbb {R} ^{K}\to
Softmax_function
Continuous function that is not absolutely continuous
function is the standard example of a singular function. The Cantor function is also a standard example of a function with bounded variation but, as mentioned
Cantor_function
Functions of an angle
extend the sine and cosine functions to functions whose domain is the whole real line, geometrical definitions using the standard unit circle (i.e., a circle
Trigonometric_functions
Set of cryptographic hash functions
publication date in 2011). In March 2012, the standard was updated in FIPS PUB 180-4, adding the hash functions SHA-512/224 and SHA-512/256, and describing
SHA-2
How many standard deviations apart from the mean an observed datum is
{\displaystyle \gamma } , i.e. Pr ( L < X < U ) = γ , {\displaystyle \Pr(L<X<U)=\gamma ,} For the standard score Z of X it gives: Pr ( L − μ σ < Z < U − μ σ ) = γ
Standard_score
Canadian mathematician
Langlands group Langlands–Shahidi method Local Langlands conjectures Standard L-function Taniyama group Alex Bellos (March 20, 2018). "Abel Prize 2018: Robert
Robert_Langlands
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Function studied by Ramanujan
Ramanujan's L {\displaystyle L} -function, defined for R e ( s ) > 7 {\displaystyle \mathrm {Re} (s)>7} by L ( s ) = ∑ n ≥ 1 τ ( n ) n s {\displaystyle L(s)=\sum
Ramanujan_tau_function
French mathematician (1921–2016)
Commutation theorem for traces Plancherel theorem for spherical functions Standard L-function "Décès de Roger Godement | Société Mathématique de France".
Roger_Godement
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the
Sigmoid_function
Extension of the factorial function
gamma, there is no accepted standard for whether the function name should be written "gamma function" or "Gamma function" (some authors simply write "
Gamma_function
Arbitrary-precision calculator supporting interactive and scripted use
in its argument are also built-in. bc's standard math library (defined with the -l option) contains functions for calculating sine, cosine, arctangent
Bc_(programming_language)
Family of solutions to related differential equations
Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena
Bessel_function
Ratio of polynomial functions
is L. The set of rational functions over a field K is a field, the field of fractions of the ring of the polynomial functions over K. A function f {\displaystyle
Rational_function
Standard for HDTV image encoding and signal characteristics
converters. Thus the standard opted for a piecewise function that combines a simple linear function V = a L {\displaystyle V=a\,L} for low light levels
Rec._709
Function spaces generalizing finite-dimensional p norm spaces
integrable function – Function which is integrable on its domain ( L loc 1 ) {\displaystyle \left(L_{\text{loc}}^{1}\right)} L p ( G ) {\displaystyle L^{p}(G)}
Lp_space
Function used in signal processing
processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside
Window_function
Function related to statistics and probability theory
density function f {\textstyle f} (a function of x {\textstyle x} ) which depends on a parameter θ {\textstyle \theta } . Then the function L ( θ ∣ x
Likelihood_function
Mathematical relation assigning a probability event to a cost
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one
Loss_function
Set of quantities in probability theory
cumulant generating function (CGF) K(t), which is a generating function that is the natural logarithm of the moment generating function: K ( t ) = log
Cumulant
Type of topological space
Bochner spaces are a generalization of the concept of L p {\displaystyle L^{p}} spaces to functions whose values lie in a Banach space which is not necessarily
Bochner_space
Function which is integrable on its domain
importance of such functions lies in the fact that their function space is similar to p-integrable function spaces ( L p {\textstyle L^{p}} spaces), but
Locally_integrable_function
Theory of forces and subatomic particles
arbitrary function of spacetime. The electroweak sector is a Yang–Mills gauge theory with the symmetry group U(1) × SU(2)L, L EW = Q ¯ L j i γ μ D μ Q L j +
Standard_Model
Type of mathematical expression
substitution to the substituted value is a function, called a polynomial function; see § Polynomial functions. This can be expressed more concisely by using
Polynomial
Smooth and compactly supported function
used as cutoff functions, for example functions that are equal to 1 on a prescribed set and vanish outside a larger set, and as standard examples of kernels
Bump_function
Test statistic
critical values ( d L , α {\textstyle d_{L,\alpha }} and d U , α {\textstyle d_{U,\alpha }} ): If d < d L , α {\textstyle d<d_{L,\alpha }} , there is
Durbin–Watson_statistic
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Video with a dynamic range that was standard before high-dynamic-range video
different transfer function. HLG is compatible with SDR displays. In some cases the term SDR is also used with a meaning including the standard color gamut (i
Standard-dynamic-range_video
Branch of mathematics
of the function near that point. By finding the derivative of a function at every point in its domain, it is possible to produce a new function, called
Calculus
Probability distribution
It was named after Stephen O. Rice (1907–1986). The probability density function is f ( x ∣ ν , σ ) = x σ 2 exp ( − ( x 2 + ν 2 ) 2 σ 2 ) I 0 ( x ν σ
Rice_distribution
Integral transform useful in probability theory, physics, and engineering
transform that converts a function of a real variable (usually t {\displaystyle t} , in the time domain) to a function of a complex variable s {\displaystyle
Laplace_transform
Mathematician at the University of Minnesota
Society in 2019, and was awarded a Simons Fellow in 2024. Degree 16 standard L-function of GSp(2)×GSp(2). Mem. Amer. Math. Soc. 123 (1996), no. 588, viii+196
Dihua_Jiang
C function to format and output text
is a C standard library function and is also a Linux terminal (shell) command that formats text and writes it to standard output. The function accepts
Printf
Probability distribution
freedom compared to the standard normal distribution (blue). Previous plots shown in green. The cumulative distribution function (CDF) can be written in
Student's_t-distribution
General-purpose programming language
of the code that defines the function. The next line of code calls (diverts execution to) the C standard library function printf with the address of the
C_(programming_language)
System of identifying electrical power devices
device numbers are enumerated in ANSI/IEEE Standard C37.2 Standard for Electrical Power System Device Function Numbers, Acronyms, and Contact Designations
ANSI_device_numbers
C programming language standard, 2011 revision
literals). Removal of the gets function (in favor of safer fgets), which was deprecated in the previous C language standard revision, ISO/IEC 9899:1999/Cor
C11_(C_standard_revision)
Mapping arbitrary data to fixed-size values
A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support
Hash_function
Discrete-variable probability distribution
and statistics, a probability mass function (sometimes called probability function or frequency function) is a function that gives the probability that a
Probability_mass_function
2011 edition of the C++ programming language standard
the C++ Standard Library, incorporating most of the C++ Technical Report 1 (TR1) libraries, except the library of mathematical special functions. C++11
C++11
Probability distribution
has the standard Cauchy distribution. The Cauchy distribution is the probability distribution with the following probability density function (PDF) f
Cauchy_distribution
Special functions
In special functions, a topic in mathematics, spin-weighted spherical harmonics are generalizations of the standard spherical harmonics and—like the usual
Spin-weighted spherical harmonics
Spin-weighted_spherical_harmonics
Concept in probability theory and statistics
theory and statistics, the moment generating function of a real-valued random variable is a generating function that provides an alternative specification
Moment_generating_function
Set of cryptographic hash functions
for the SHA-3 standard, compared to the submission. The changes caused some turmoil. The hash function competition called for hash functions at least as
SHA-3
Connected input and output streams for computer programs
End Function When applying the System.Diagnostics.Process class one can use the instance properties StandardInput, StandardOutput, and StandardError
Standard_streams
Chemical compound
targeted delivery. Weak evidence shows that magnesium L-threonate improves cognitive function in healthy adults, although the trial did not compare its
Magnesium_L-threonate
Instantaneous rate of change (mathematics)
of limit. If the function f {\displaystyle f} is differentiable at a {\displaystyle a} , that is if the limit L {\displaystyle L} exists, then this
Derivative
Value approached by a mathematical object
equals L {\displaystyle L} ". This means that the value of the function f {\displaystyle f} can be made arbitrarily close to L {\displaystyle L} , by choosing
Limit_(mathematics)
Graphical programming language
the five languages defined by IEC 61131-3 standard. The SFC standard is defined as Preparation of function charts for control systems, and was based on
Sequential_function_chart
Mathematical function
peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell". Gaussian functions are often used to
Gaussian_function
Model for light scattering
simulate the scattering of light by interstellar dust, the function has since become a standard tool in radiative transfer, atmospheric optics, biomedical
Henyey–Greenstein phase function
Henyey–Greenstein_phase_function
Standard color space with color-opponent values
using the inverse of the function f above: X = X n f − 1 ( L ⋆ + 16 116 + a ⋆ 500 ) Y = Y n f − 1 ( L ⋆ + 16 116 ) Z = Z n f − 1 ( L ⋆ + 16 116 − b ⋆ 200
CIELAB_color_space
Cryptographic hash function
a cryptographic hash function. It was designed by Vincent Rijmen (co-creator of the Advanced Encryption Standard) and Paulo S. L. M. Barreto, who first
Whirlpool_(hash_function)
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Procedure to estimate standard deviation from a sample
other than the normal distribution, the population standard deviation will, if it exists, be a function of the parameters of the model. One general approach
Unbiased estimation of standard deviation
Unbiased_estimation_of_standard_deviation
Computer programming function
integers X = [0, 5, 8, 3, 2, 1] according to the function: f ( x ) = { T r u e if x ≡ 0 ( mod 2 ) F a l s e if x ≡ 1 ( mod 2 ) . {\displaystyle
Filter (higher-order function)
Filter_(higher-order_function)
Generalizations of the Riemann zeta function
n = s1 + ... + sk is known as the "weight". The standard shorthand for writing multiple zeta functions is to place repeating strings of the argument within
Multiple_zeta_function
Mathematical function for the probability a given outcome occurs in an experiment
often described by functions such as cumulative distribution functions, probability mass functions, or probability density functions. Which description
Probability_distribution
Function in statistics
statistics, the logit (/ˈloʊdʒɪt/ LOH-jit) function is the quantile function associated with the standard logistic distribution. It has many uses in data
Logit
Hash function that is suitable for use in cryptography
unsuitable as cryptographic hash functions. For example, a CRC was used for message integrity in the WEP encryption standard, but an attack was readily discovered
Cryptographic_hash_function
Mathematical conjecture on the Riemann zeta function
1007/s10240-010-0025-8. S2CID 14155294. Nelson, Paul D. (2021-09-30). "Bounds for standard $L$-functions". arXiv:2109.15230 [math.NT]. Hartnett, Kevin (2022-01-13). "Mathematicians
Lindelöf_hypothesis
Special mathematical function defined as sin(x)/x
In mathematics, physics and engineering, the sinc function (/ˈsɪŋk/ SINK), denoted by sinc(x), is defined as either sinc ( x ) = sin x x . {\displaystyle
Sinc_function
Solutions of Legendre's differential equation
science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμ λ, Qμ λ, and Legendre functions of the second kind, Qn, are all
Legendre_function
Statistical property
standard error of several individual quantities is known then the standard error of some function of the quantities can be easily calculated; when the probability
Standard_error
Mathematical optimization method
example, if the gradient of the cost function is Lipschitz continuous and one chooses standard GD with learning rate <1/L, then with a random choice of initial
Backtracking_line_search
Input/output functionality in the C programming language
language provides many standard library functions for file input and output. These functions make up the bulk of the C standard library header <stdio.h>
C_file_input/output
Statistical sequence characterizing probability distributions
quantities analogous to standard deviation, skewness and kurtosis, termed the L-scale, L-skewness and L-kurtosis respectively (the L-mean is identical to
L-moment
mean) is a function complementary to the harmonic mean. The contraharmonic mean is a special case of the Lehmer mean, L p {\displaystyle L_{p}} , where
Contraharmonic_mean
Fundamental trigonometric functions
either a built-in function (e.g. in Fortran and MATLAB) or found within the language's standard math library. For example, the C standard library defines
Sine_and_cosine
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
Generalized version of classical Green's function
G(L,L') can be expressed by a single index (L'-L) defined as G ( L , L ′ ) = G ( 0 , L − L ′ ) = G ( L ′ − L ) ( 10 ) {\displaystyle G(L,L')=G(0,L-L')=G(L'-L)\qquad
Multiscale_Green's_function
Mathematical function characterizing set membership
In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all
Indicator_function
Transcendental single-variable function
tangent integral, polygamma function, Riemann zeta function, Dirichlet eta function, and Dirichlet beta function. The Clausen function of order 2 – often referred
Clausen_function
In mathematics, a quantitative measure of the shape of a set of points
Moments of a function in mathematics are certain quantitative measures related to the shape of the function's graph. For example, if the function represents
Moment_(mathematics)
Computer communications authentication algorithm
type of message authentication code (MAC) involving a cryptographic hash function and a secret cryptographic key. As with any MAC, it may be used to simultaneously
HMAC
Effect of variables' uncertainties on the uncertainty of a function based on them
a general context where a nonlinear function modifies the uncertain parameters (correlated or not), the standard tools to propagate uncertainty, and infer
Propagation_of_uncertainty
STANDARD L-FUNCTION
STANDARD L-FUNCTION
Male
Hungarian
Hungarian form of Roman Latin Cornelius, KORNÉL means "of a horn."
Surname or Lastname
English (mainly Yorkshire)
English (mainly Yorkshire) : from a Norman personal name, Tancard, composed of the Germanic words þank ‘thought’ + hard ‘hardy’, ‘brave’, ‘strong’.English (mainly Yorkshire) : metonymic occupational name for a maker of barrels and drinking vessels, or a nickname for a hardened drinker, from Middle English tankard ‘tub’, ‘cup’ (apparently a borrowing from Middle Dutch).
Male
Irish
Irish Gaelic form of Greek MichaÄ“l, MÃCHEÃL means "who is like God?"
Surname or Lastname
English (Northumbria)
English (Northumbria) : occupational name for a breeder or keeper of horses, from Old English stÅd ‘stud’ or stott ‘inferior kind of horse’ + hierde ‘herdsman’, ‘keeper’. There is a difficulty in deriving this name from Old English stÅd in that stud is not recorded in the sense ‘collection of horses bred by one person’ until the 17th century; before that it denoted a place where horses were kept for breeding, but that sense does not combine naturally with ‘herdsman’.The Stoddard family of Boston, MA, was introduced by Anthony Stoddard (1600–1686), who settled there in 1639. Solomon Stoddard (1643–1728/9) was a prominent Congregational clergyman in MA, the grandfather of Jonathan Edwards, and progenitor of many noted descendants.
Surname or Lastname
English
English : variant of Stoddard.
Male
Scottish
Scottish form of Latin Paulus, PÀL means "small."
Male
Norwegian
Norwegian variant form of Scandinavian Njal, NJÃ…L means "champion."
Male
Hungarian
Hungarian form of Greek Paulos, PÃL means "small."
Surname or Lastname
English (East Anglia)
English (East Anglia) : from the Middle English personal name Stanhard (Old English StÄnheard), composed of the elements stÄn ‘stone’ + heard ‘hardy’, ‘brave’, ‘strong’.
Surname or Lastname
English
English : habitational name from any of various places named Stanford, for example in Bedfordshire, Kent, and Norfolk, or Stanford Dingley in Berkshire, Stanford in the Vale in Oxfordshire, or Stanford le Hope in Essex, etc., all named from Old English stÄn ‘stone’ + ford ‘ford’.An early bearer, Thomas Stanford of England, settled in Charlestown, MA, in the mid 17th century and started a family line that includes Leland Stanford (1824–93), the railroad developer who was governor of CA, a U.S. senator, and the founding benefactor of Stanford University.
Male
Hindi/Indian
Hindi name SHANDAR means "amazing, enhanced, brilliant, shining."Â
Male
French
French name derived from Latin natalis dies, NOËL means "day of birth."
Male
Irish
Irish form of Greek Paulos, PÓL means "small."
Surname or Lastname
English
English : habitational name from Standard Hill in Ninfield, Sussex.
Male
French
French form of Greek Ioel (Hebrew Yowel), JOËL means "Jehovah is God" or "to whom Jehovah is God."
Surname or Lastname
English
English : byname for a valiant or resolute person, from a reduced pronunciation of Middle English stalward, stalworth ‘stalwart’ (an Old English compound of stǣl ‘place’ + wierðe ‘worthy’).
Male
French
Masculine form of French Gaëlle, GAËL means "holy and generous."
Surname or Lastname
English
English : variant spelling of Stannard.
Male
Swedish
Swedish form of Greek Paulos, PÃ…L means "small."
Male
French
French form of Hebrew Rephael, RAPHAËL means "healed of God" or "whom God has healed."
STANDARD L-FUNCTION
STANDARD L-FUNCTION
Girl/Female
Muslim
Generous, Noble, Precious, Perfect
Boy/Male
Tamil
Ashvarya | ஆஷà¯à®µà®°à¯à®¯
Wealth
Boy/Male
Indian, Telugu
Encourage
Boy/Male
British, English, French
Lives in the Valley; From the Vale
Boy/Male
Hindu
Javelin
Boy/Male
Arabic, Parsi
Eternal; Endless; Immortal; Pleasantness
Boy/Male
Hindu, Indian, Traditional
Another Name of Lord Shiva
Boy/Male
Arabic
Prince; King's Son
Male
Danish
, a female dog; or, the mad, raging.
Male
Egyptian
, a devotee of Apis.
STANDARD L-FUNCTION
STANDARD L-FUNCTION
STANDARD L-FUNCTION
STANDARD L-FUNCTION
STANDARD L-FUNCTION
a.
Not supported by, or fastened to, a wall; as, standard fruit trees.
n.
A standard bearer.
n.
The sheth of a plow.
n.
A large drinking cup.
n.
The name of the Greek letter /, /, corresponding with the English letter L, l.
n.
An inverted knee timber placed upon the deck instead of beneath it, with its vertical branch turned upward from that which lies horizontally.
n.
The upper petal or banner of a papilionaceous corolla.
a.
Being, affording, or according with, a standard for comparison and judgment; as, standard time; standard weights and measures; a standard authority as to nautical terms; standard gold or silver.
n.
An extension at right angles to the length of a main building, giving to the ground plan a form resembling the letter L; sometimes less properly applied to a narrower, or lower, extension in the direction of the length of the main building; a wing.
a.
Not of the dwarf kind; as, a standard pear tree.
n.
A tree of natural size supported by its own stem, and not dwarfed by grafting on the stock of a smaller species nor trained upon a wall or trellis.
n.
An upright support, as one of the poles of a scaffold; any upright in framing.
n.
See L.
n.
That which is established by authority as a rule for the measure of quantity, extent, value, or quality; esp., the original specimen weight or measure sanctioned by government, as the standard pound, gallon, or yard.
n.
A short right-angled pipe fitting, used in connecting two pipes at right angles.
a.
Hence: Having a recognized and permanent value; as, standard works in history; standard authors.
v. t.
To betray; to show. [L.]
a.
Bred in conformity to a standard. Specif., applied to a registered trotting horse which comes up to the standard adopted by the National Association of Trotting-horse Breeders.