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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
Extremely small quantity in calculus; thing so small that there is no way to measure it
transfer principle implements Leibniz's law of continuity. The standard part function implements Fermat's adequality. The notion of infinitely small quantities
Infinitesimal
Topics referred to by the same term
such as long division Standard deviation, a statistical measure of variation Standard score, a statistics term Standard part function, used to define the
Standard
Element of a nonstandard model of the reals, which can be infinite or infinitesimal
the standard part function, which "rounds off" each finite hyperreal to the nearest real. Similarly, the integral is defined as the standard part of a
Hyperreal_number
Modern application of infinitesimals
Discarding the "error term" is accomplished by an application of the standard part function. Dispensing with infinitesimal error terms was historically considered
Nonstandard_calculus
Standard library for the C programming language
considered part of the operating system on Unix-like systems; in addition to functions specified by the C standard, it includes other functions that are part of
C_standard_library
Topics referred to by the same term
top-level domain (ccTLD) for São Tomé and Príncipe Standard part function, a term used in non-standard analysis Stanton number St, used in physics Strouhal
ST
Nearest integers from a number
Floor and ceiling functions In mathematics, the floor function is the function that takes a real number x as input and returns the greatest integer less
Floor_and_ceiling_functions
Mathematical term
constant on the halo of c, where "st" is the standard part function. The modern property of continuity of a function was first defined by Bolzano in 1817. However
Microcontinuity
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
Heuristic principle enunciated by Gottfried Wilhelm Leibniz
A 2012 study argues that Leibniz's TLH was a precursor of the standard part function over the hyperreals. Law of continuity Adequality Leibniz Mathematische
Transcendental law of homogeneity
Transcendental_law_of_homogeneity
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
Collection of classes and functions used in the C++ programming language
the C++ Standard Library is a collection of classes and functions, which are written in the core language and part of the C++ ISO Standard itself. The
C++_Standard_Library
Instantaneous rate of change (mathematics)
{st} } denotes the standard part function, which "rounds off" each finite hyperreal to the nearest real. Taking the squaring function f ( x ) = x 2 {\displaystyle
Derivative
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
Swiss mathematician (1707–1783)
mathematical terminology and notation, including the notion of a mathematical function. He is known for his work in mechanics, fluid dynamics, optics, astronomy
Leonhard_Euler
Family of cryptographic hash functions
cryptographic hash functions published by the National Institute of Standards and Technology (NIST) as a U.S. Federal Information Processing Standard (FIPS), including:
Secure_Hash_Algorithms
Probability distribution
particular, the probability density function for X {\displaystyle X} can be written in terms of the standard normal distribution φ {\displaystyle
Normal_distribution
Value approached by a mathematical object
\lim _{n\to \infty }a_{n}=\operatorname {st} (a_{H}).} Here, the standard part function "st" rounds off each finite hyperreal number to the nearest real
Limit_(mathematics)
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
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
Real numbers adjoined with a nil-squaring element
+p_{n}x^{n}} with real coefficients can be extended to a function of a dual-number-valued argument, P ( a + b ε ) = p 0 + p 1 ( a + b ε )
Dual_number
Hyperreal number that is equal to its own integer part
...) in the ultrapower construction of the hyperreals. The standard integer part function: ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } is defined for all
Hyperinteger
Mathematical notion of infinitesimal difference
rigorous footing, such as infinitesimal differences and the derivatives of functions. The term is used in various branches of mathematics such as calculus
Differential_(mathematics)
Type of set in mathematical logic
subset of the hyperreals necessarily contains nonstandard elements. Standard part function Superstructure (mathematics) Goldblatt, Robert. Lectures on the
Internal_set
Formula for the derivative of a product
analysis, specifically the hyperreal numbers. Using st to denote the standard part function that associates to a finite hyperreal number the real infinitely
Product_rule
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)
Calculus using a logically rigorous notion of infinitesimal numbers
condition of being the standard part of s. One intuitive characterization of continuity is as follows: Theorem. A real-valued function f on the interval [a
Nonstandard_analysis
Generalization of the real numbers
other ordered fields, such as the rationals, the reals, the rational functions, the Levi-Civita field, the superreal numbers (including the hyperreal
Surreal_number
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)
the derivative of a function that is the ratio of two functions. radian Is the SI unit for measuring angles, and is the standard unit of angular measure
Glossary_of_calculus
Geometrical concept relating area and volume
{\bigl (}\{\,x\in \Omega :f(x)>t\,\}{\bigr )}\,\mathrm {d} t\;.} For a function f {\displaystyle f} on Ω {\displaystyle \Omega } with values in R {\displaystyle
Cavalieri's_principle
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
Characteristic of an optical system
The optical transfer function (OTF) of an optical system such as a camera, microscope, human eye, or projector is a scale-dependent description of their
Optical_transfer_function
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
Continuous real function on a closed interval has a maximum and a minimum
0 ) {\displaystyle c=\mathbf {st} (x_{i_{0}})} where st is the standard part function. An arbitrary real point x lies in a suitable sub-interval of the
Extreme_value_theorem
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
Software library for the C++ programming language
containers, iterators, function objects, and algorithms Musser, David (2001). STL tutorial and reference guide: C++ programming with the standard template library
Standard_Template_Library
Mathematical notation used for calculus
represent finite increments of x and y, respectively. Consider y as a function of a variable x, or y = f(x). If this is the case, then the derivative
Leibniz's_notation
– square root. s.t. – such that or so that or subject to. st – standard part function. STP – [it is] sufficient to prove. SU – special unitary group.
List of mathematical abbreviations
List_of_mathematical_abbreviations
C programming language standard, current revision
ISO/IEC 9899:2024, is the current open standard for the C programming language, which supersedes C17 (standard ISO/IEC 9899:2018). It was started in 2016
C23_(C_standard_revision)
French mathematician (1789–1857)
of a residue of a function. This concept concerns functions that have poles—isolated singularities, i.e., points where a function goes to positive or
Augustin-Louis_Cauchy
1976 mathematics textbook by H. Jerome Keisler
higher-magnification "microscope"). The derivative of ƒ is then the (standard part of the) slope of that line (see figure). Thus the microscope is used
Elementary Calculus: An Infinitesimal Approach
Elementary_Calculus:_An_Infinitesimal_Approach
Textbook by Augustin-Louis Cauchy (1821)
of the Introduction, Cauchy writes: "In speaking of the continuity of functions, I could not dispense with a treatment of the principal properties of
Cours_d'analyse
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
Table of probabilities related to the normal distribution
function of the normal distribution. It is used to find the probability that a statistic is observed below, above, or between values on the standard normal
Standard_normal_table
Named set of points in nonstandard analysis
finite (limited), the unique real number in the monad of x is called the standard part of x. Goldblatt, Robert (1998). Lectures on the Hyperreals. Berlin:
Monad_(nonstandard_analysis)
Mathematical procedure equivalent to differential calculus
of Fermat's technique of adequality in modern mathematics as the standard part function which rounds off a finite hyperreal number to its nearest real number
Adequality
Sequence of points that get progressively closer to each other
{\displaystyle \mathrm {st} (u_{H}-u_{K})=0} where "st" is the standard part function. Krause (2020) introduced a notion of Cauchy completion of a category
Cauchy_sequence
Concept in model theory
called standard subsets of *R. The standard sets belong to a much larger class of subsets of *R called internal sets. Similarly each function f : A →
Transfer_principle
Key derivation function
Function 1 and 2) are key derivation functions with a sliding computational cost, used to reduce vulnerability to brute-force attacks. PBKDF2 is part
PBKDF2
Function definition that is not bound to an identifier
anonymous function (function literal, lambda function, or block) is a function definition that is not bound to an identifier. Anonymous functions are often
Anonymous_function
S-shaped curve
. The exponential function with negated argument ( e − x {\displaystyle e^{-x}} ) is used to define the standard logistic function where L = 1 , k = 1
Logistic_function
the mathematical formalism of calculus than a control group following a standard syllabus. This was also noted by Artigue (1994), page 172; Chihara (2007);
Criticism of nonstandard analysis
Criticism_of_nonstandard_analysis
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
{\textstyle f'(x)} is the standard part of Δ y Δ x {\textstyle {\frac {\Delta y}{\Delta x}}} . A similar theorem exists in standard Calculus. Again assume
Increment_theorem
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
Extension of the factorial function
{\displaystyle n} . The gamma function can be defined via a convergent improper integral for complex numbers with positive real part: Γ ( z ) = ∫ 0 ∞ t z − 1
Gamma_function
Proof technique in nonstandard analysis
a widely used proof technique. It is based on the fact that the set of standard natural numbers N is not an internal subset of the internal set *N of hypernatural
Overspill
Control parameter used in programming languages
short for scan formatted, is a C standard library function that reads and parses text from standard input. The function accepts a format string parameter
Scanf
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
Industrial standard for programmable logic controllers
language standards: Ladder diagram (LD), graphical Function block diagram (FBD), graphical Structured text (ST), textual Sequential function chart (SFC)
IEC_61131-3
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
Standard RGB color space
The sRGB standard uses the same color primaries and white point as the ITU-R BT.709 standard for HDTV, but a different transfer function (or gamma)
SRGB
Elementary Calculus: An Infinitesimal Approach Criticism of non-standard analysis Standard part function Set theory Forcing (mathematics) Boolean-valued model Kripke
List of mathematical logic topics
List_of_mathematical_logic_topics
Monetary system based on the value of gold
monetary system. The gold standard was largely abandoned during the Great Depression before being reinstated in a limited form as part of the post-World War II
Gold_standard
Fifth-generation mobile telecommunications standard
contribute to 5G standards. The DECT-2020 specification defines DECT NR+, a non-cellular, mesh-based radio system recognized by ITU as part of 5G. The IEEE
5G
is an incomplete list of DIN standards. The "STATUS" column gives the latest known status of the standard. If a standard has been withdrawn and no replacement
List_of_DIN_standards
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
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
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
Mathematical function, denoted exp(x) or e^x
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted
Exponential_function
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)
Function modeling methodology for describing manufacturing functions
Institute of Standards and Technology (NIST). Withdrawn FIPS Listed by Number, Updated 12/15/16) ICAM Architecture Part II-Volume IV - Function Modeling Manual
IDEF0
Computational operation
where trunc {\displaystyle \operatorname {trunc} } is the integral part function (rounding toward zero), i.e. the truncation to zero significant digits
Modulo
Multivalued function in mathematics
In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse
Lambert_W_function
Key on a computer or terminal keyboard
with function keys have been available, though they did not become standard until the mid-1990s. They have not traditionally been a major part of the
Function_key
Advanced Placement course and exam
and science courses. In this course, students study a broad spectrum of function types that are foundational for careers in mathematics, physics, biology
AP_Precalculus
Probability distribution
has the standard Cauchy distribution. The Cauchy distribution is the probability distribution with the following probability density function (PDF) f
Cauchy_distribution
International standard for safety-related systems
with the safety function of the system. The standard has seven parts: Parts 1–3 contain the requirements of the standard (normative) Part 4 contains definitions
IEC_61508
Patterns used in computer programming
glob() (/ɡlɒb/) is a libc function for globbing, which is the archetypal use of pattern matching against the names in a filesystem directory such that
Glob_(programming)
Inverse functions of sin, cos, tan, etc.
trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of the trigonometric functions, under
Inverse trigonometric functions
Inverse_trigonometric_functions
International standard
The international standard IEC 61499, addressing the topic of function blocks for industrial process measurement and control systems, was initially published
IEC_61499
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
Library provided with a programming language to provide common services
function, template, etc., in a library. However, the question here is not, "What ought to be in some library?" but "What ought to be in the standard library
Standard_library
Function for sorting in C++ standard library
sort is a generic function in the C++ Standard Library for doing comparison sorting. The function originated in the Standard Template Library (STL). The
Sort_(C++)
Operation on mathematical functions
two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘
Function_composition
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
Standard for the encryption of electronic data
The Advanced Encryption Standard (AES), also known by its original name Rijndael (Dutch pronunciation: [ˈrɛindaːl], RAIN-dahl), is a specification for
Advanced_Encryption_Standard
Hyperbolic analogues of trigonometric functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just
Hyperbolic_functions
Theory of forces and subatomic particles
The Standard Model of particle physics is the theory describing three of the four known fundamental forces (electromagnetic, weak and strong interactions
Standard_Model
2.71828…, base of natural logarithms
with zero mean and unit standard deviation is known as the standard normal distribution, given by the probability density function ϕ ( x ) = 1 2 π e − 1
E_(mathematical_constant)
IEEE standard for floating-point arithmetic
and tanPi {\displaystyle \operatorname {tanPi} } functions were not part of the IEEE 754-2008 standard because they were deemed less necessary. asinPi
IEEE_754
Set of all things that may be the input of a mathematical function
is part of the definition of a function rather than a property of it. In the special case that X and Y are both sets of real numbers, the function f can
Domain_of_a_function
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
Character encoding standard
(/ˈæski/ ASS-kee), an acronym for American Standard Code for Information Interchange, is a character encoding standard for representing a particular set of
ASCII
Relationship between electrical signal and light
Recommendation BT.1886 is the reference EOTF of Standard Dynamic Range TV (SDR). sRGB: sRGB defines a transfer function based on a gamma curve and used for monitors
Transfer_functions_in_imaging
Standard form of Mandarin Chinese
Standard Chinese (simplified Chinese: 现代标准汉语; traditional Chinese: 現代標準漢語; pinyin: Xiàndài biāozhǔn hànyǔ), often colloquially called Mandarin Chinese
Standard_Chinese
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 description of quantum state
The inner product is the standard inner product on these spaces. In it, the "spin part" of a single particle wave function resides. In the non-relativistic
Wave_function
STANDARD PART-FUNCTION
STANDARD PART-FUNCTION
Boy/Male
Shakespearean
King Henry IV, Part 2' Thomas Wart, a country soldier.
Male
Hindi/Indian
Hindi name SHANDAR means "amazing, enhanced, brilliant, shining."Â
Biblical
standard; miracle
Male
English
Short form of English Bartholomew, BART means "son of Talmai."
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Female
Persian/Iranian
(پری) Persian name PARI means "fairy."
Boy/Male
Hindu, Indian, Telugu, Thai
Horse; Standard
Male
English
English short form of Celtic Arthur, possibly ART means "bear-man." Compare with another form of Art.
Surname or Lastname
English
English : variant of Stoddard.
Boy/Male
Indian, Tamil
Stable; Standard
Girl/Female
Biblical
Standard, miracle.
Surname or Lastname
English
English : habitational name from a settlement on the river Dart in Devon, which is named from a British term meaning ‘oak’ and is thus a cognate of Darwin 2.English : metonymic occupational name for a maker of arrows, from Middle English dart (from Old French darde).
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’).
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 (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 (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).
Surname or Lastname
English
English : habitational name from Standard Hill in Ninfield, Sussex.
Boy/Male
Shakespearean
King Henry IV, Part 1' Earl of March. Scroop.
Surname or Lastname
English
English : variant spelling of Stannard.
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.
STANDARD PART-FUNCTION
STANDARD PART-FUNCTION
Boy/Male
Hindu
Lord Shiva, The Sun
Surname or Lastname
English
English : habitational name from a place in Worcestershire, probably so named from Old English grīma ‘specter’, ‘goblin’ + Old English lēah ‘woodland clearing’.Irish : variant of Gormley.
Boy/Male
British, English
From the North Cliff
Surname or Lastname
French
French : humorous nickname for a man with shapely legs, from jarrett ‘hock’.French : variant spelling of Garet, which has various explanations: from Old French garet ‘shelter’, a derivative of garer ‘to protect’, hence a metonymic occupational name for a herdsman or a topographic name for someone who lived by a covered shelter for animals, or a habitational name for someone from a place named with this word, for example in Allier and Puy-de-Dôme; or alternatively from a pet form of any of the various Germanic personal names beginning with the element geri, gari ‘spear’ or ward ‘guard’, ‘protect’.English : variant spelling of Garrett.
Girl/Female
Indian
Beauty of the Universe
Boy/Male
Hindu, Indian
Twin Born
Girl/Female
Christian & English(British/American/Australian)
Admirable
Female
German
Feminine form of German Ernst, ERNSTA means "battle (to the death), serious business."
Girl/Female
Indian
Saint
Boy/Male
Indian
Obedient, Giver
STANDARD PART-FUNCTION
STANDARD PART-FUNCTION
STANDARD PART-FUNCTION
STANDARD PART-FUNCTION
STANDARD PART-FUNCTION
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.
To separate or disunite; to cause to go apart; to remove from contact or contiguity; to sunder.
n.
To divide; to separate into distinct parts; to break into two or more parts or pieces; to sever.
a.
Hence: Having a recognized and permanent value; as, standard works in history; standard authors.
n.
To separate by a process of extraction, elimination, or secretion; as, to part gold from silver.
v. t.
To inclose in a park, or as in a park.
v.
A part or portion.
v. i.
To have a part or share; to partake.
v. t.
Fig.: Sharp; keen; severe; as, a tart reply; tart language; a tart rebuke.
n.
A particular character in a drama or a play; an assumed personification; also, the language, actions, and influence of a character or an actor in a play; or, figuratively, in real life. See To act a part, under Act.
v. t.
To remove; to separate; to cut or shave, as the skin, ring, or outside part, from anything; -- followed by off or away; as; to pare off the ring of fruit; to pare away redundancies.
n.
One of the different melodies of a concerted composition, which heard in union compose its harmony; also, the music for each voice or instrument; as, the treble, tenor, or bass part; the violin part, etc.
v. i.
To be broken or divided into parts or pieces; to break; to become separated; to go asunder; as, rope parts; his hair parts in the middle.
a.
Not supported by, or fastened to, a wall; as, standard fruit trees.
v.
One concerned or interested in an affair; one who takes part with others; a participator; as, he was a party to the plot; a party to the contract.
adv.
In two or more parts; asunder; to piece; as, to take a piece of machinery apart.
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.
n.
Hence: To hold apart; to stand between; to intervene betwixt, as combatants.
a.
Not of the dwarf kind; as, a standard pear tree.
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.