AI & ChatGPT searches , social queriess for ELEMENTARY FUNCTION-ARITHMETIC
Search references for ELEMENTARY FUNCTION-ARITHMETIC. Phrases containing ELEMENTARY FUNCTION-ARITHMETIC
See searches and references containing ELEMENTARY FUNCTION-ARITHMETIC!
Search references for ELEMENTARY FUNCTION-ARITHMETIC. Phrases containing ELEMENTARY FUNCTION-ARITHMETIC
See searches and references containing ELEMENTARY FUNCTION-ARITHMETIC!ELEMENTARY FUNCTION-ARITHMETIC
System of arithmetic in proof theory
logic, elementary function arithmetic (EFA), also called elementary arithmetic and exponential function arithmetic, is the system of arithmetic with the
Elementary function arithmetic
Elementary_function_arithmetic
Function whose domain is the positive integers
\log _{e}(x)} . In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose domain is the set of positive
Arithmetic_function
Numbers and the basic operations on them
Elementary arithmetic is a branch of mathematics involving addition, subtraction, multiplication, and division. Due to its low level of abstraction, broad
Elementary_arithmetic
Type of mathematical function
elementary function is a function of a single variable (real or complex) that is typically encountered by beginners. The basic elementary functions are
Elementary_function
Branch of mathematical logic
comprehension can be defined. The weak system RCA* 0 consists of elementary function arithmetic EFA (the basic axioms plus Δ0 0 induction in the enriched language
Reverse_mathematics
Concept in computability theory
elementary was originally introduced by László Kalmár in the context of computability theory. He defined the class of elementary recursive functions ("Kalmár
Elementary_recursive_function
Proof that only uses basic techniques
Theorem is not elementary. However, there are other simple statements about arithmetic such as the existence of iterated exponential functions that cannot
Elementary_proof
Criterion for integration in terms of elementary functions
expressed as elementary functions. The antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions. These are
Liouville's theorem (differential algebra)
Liouville's_theorem_(differential_algebra)
17th-century conjecture proved by Andrew Wiles in 1994
Fermat's last theorem) can be proved using only 'elementary function arithmetic', such a proof need be 'elementary' only in a technical sense and could involve
Fermat's_Last_Theorem
Number of partitions of an integer
is credited with discovering that the partition function has nontrivial patterns in modular arithmetic. For instance the number of partitions is divisible
Partition function (number theory)
Partition_function_(number_theory)
Mathematical function of two positive real arguments
geometric means. The arithmetic–geometric mean is used in fast algorithms for exponential, trigonometric functions, and other special functions, as well as some
Arithmetic–geometric_mean
Formalization of the natural numbers
{-}}|x-y|=0} . Elementary recursive arithmetic Finite-valued logic Heyting arithmetic Peano arithmetic Primitive recursive function Robinson arithmetic Second-order
Primitive recursive arithmetic
Primitive_recursive_arithmetic
Number of integers coprime to and less than n
primitive dth roots of unity. The formula can also be derived from elementary arithmetic. For example, let n = 20 and consider the positive fractions up
Euler's_totient_function
Topics referred to by the same term
military European Fighter Aircraft, now the Eurofighter Typhoon Elementary function arithmetic Essential fatty acid Exploratory factor analysis Egyptian Football
EFA
Type of zeta function
mathematics, the arithmetic zeta function is a zeta function associated with a scheme of finite type over integers. The arithmetic zeta function generalizes
Arithmetic_zeta_function
Mathematical formula involving a given set of operations
variables, and a set of functions considered as basic and connected by arithmetic operations (+, −, ×, /, and integer powers) and function composition. Commonly
Closed-form_expression
Multiplicative function in number theory
the OEIS). In number theory another arithmetic function closely related to the Möbius function is the Mertens function, defined by M ( n ) = ∑ k = 1 n μ
Möbius_function
function Mathieu function Mittag-Leffler function Painlevé transcendents Parabolic cylinder function Arithmetic–geometric mean Ackermann function: in the theory
List of mathematical functions
List_of_mathematical_functions
Digit transferred from one column to another
In elementary arithmetic, a carry is a digit that is transferred from one column of digits to another column of more significant digits. It is part of
Carry_(arithmetic)
Mathematical technique used in proof theory
rudimentary function arithmetic. IΔ0, arithmetic with induction on Δ0-predicates without any axiom asserting that exponentiation is total. EFA, elementary function
Ordinal_analysis
Topics referred to by the same term
Libraries Elementary abelian group, an abelian group in which every nontrivial element is of prime order Elementary algebra Elementary arithmetic Elementary charge
Elementary
Function defined on integers in number theory
In number theory, the Lagarias arithmetic derivative or number derivative is a function defined for integers, based on prime factorization, by analogy
Arithmetic_derivative
Branch of elementary mathematics
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a
Arithmetic
Arithmetic function related to the divisors of an integer
theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts the number
Divisor_function
Axiomatic set theories based on the principles of mathematical constructivism
of arithmetics include elementary function arithmetic E F A {\displaystyle {\mathsf {EFA}}} , which includes induction for just bounded arithmetical formulas
Constructive_set_theory
Numerical calculations carrying along derivatives
executes a sequence of elementary arithmetic operations (addition, subtraction, multiplication, division, etc.) and elementary functions (exp, log, sin, cos
Automatic_differentiation
Numeric quantity representing the center of a collection of numbers
purpose. The arithmetic mean, also known as "arithmetic average", is the sum of the values divided by the number of values. The arithmetic mean of a set
Mean
Class of mathematical expression
the dividend (numerator). The usual definition of the quotient in elementary arithmetic is the number which yields the dividend when multiplied by the divisor
Division_by_zero
outline is provided as an overview of and topical guide to arithmetic: Arithmetic is an elementary branch of mathematics that deals with numerical operations
Outline_of_arithmetic
Branch of pure mathematics
of mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of
Number_theory
Method for bounding the errors of numerical computations
errors in mathematical computation by computing function bounds. Numerical methods involving interval arithmetic can guarantee relatively reliable and mathematically
Interval_arithmetic
Theorem on the number of primes in arithmetic sequences
rigorous proof.) Selberg, Atle (1949). "An Elementary Proof of Dirichlet's Theorem About Primes in an Arithmetic Progression". Annals of Mathematics. 50
Dirichlet's theorem on arithmetic progressions
Dirichlet's_theorem_on_arithmetic_progressions
Theories in mathematical logic
fragments of Peano arithmetic. The case n = 1 has about the same strength as primitive recursive arithmetic (PRA). Exponential function arithmetic (EFA) is IΣ0
List_of_first-order_theories
Computation modulo a fixed integer
In mathematics, modular arithmetic is a system of arithmetic operations for integers, differing from the usual ones in that numbers "wrap around" when
Modular_arithmetic
Decidable first-order theory of the natural numbers with addition
The language of Presburger arithmetic contains constants 0 {\displaystyle 0} and 1 {\displaystyle 1} and a binary function + {\displaystyle +} , interpreted
Presburger_arithmetic
Analytic function that does not satisfy a polynomial equation
involving the basic arithmetic operations. This definition can be extended to functions of several variables. The transcendental functions sine and cosine
Transcendental_function
Elementary functions and their finitely iterated integrals
Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals. Liouvillian functions can be recursively
Liouvillian_function
arithmetic function is some simpler or better-understood function which takes the same values "on average". Let f {\displaystyle f} be an arithmetic function
Average order of an arithmetic function
Average_order_of_an_arithmetic_function
Integers have unique prime factorizations
In mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every
Fundamental theorem of arithmetic
Fundamental_theorem_of_arithmetic
Generalization of the Riemann zeta function for algebraic number fields
functional equation. Values of Dedekind zeta functions encode important arithmetic data of K. The Dedekind zeta function is named for Richard Dedekind, who introduced
Dedekind_zeta_function
Characterization of how many integers are prime
PNT. One possible definition of an "elementary" proof is "one that can be carried out in first-order Peano arithmetic." There are number-theoretic statements
Prime_number_theorem
S-shaped curve
logarithmic curve, and by analogy with arithmetic and geometric. His growth model is preceded by a discussion of arithmetic growth and geometric growth (whose
Logistic_function
Association of one output to each input
a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of
Function_(mathematics)
Mathematical system
In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets. It is an alternative
Second-order_arithmetic
Replacing a number with a simpler value
when dividing two numbers in integer or fixed-point arithmetic; when computing mathematical functions such as square roots, logarithms, and sines; or when
Rounding
IEEE standard for floating-point arithmetic
numbers during arithmetic and conversions operations: arithmetic and other operations (such as trigonometric functions) on arithmetic formats exception
IEEE_754
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
Computer arithmetic standards
Part 1: Integer and floating point arithmetic, second edition published 2012. Part 2: Elementary numerical functions, first edition published 2001. Part
ISO/IEC_10967
3-volume treatise on mathematics, 1910–1913
(there exists); predicate symbol: "=" (equals); function symbols: "+" (arithmetic addition), "∙" (arithmetic multiplication), " ′ " (successor); individual
Principia_Mathematica
Set of all true first-order statements about the arithmetic of natural numbers
multiplication. The signature of Peano arithmetic includes the addition, multiplication, and successor function symbols, the equality and less-than relation
True_arithmetic
One of the four basic arithmetic operations
Subtraction (which is signified by the minus sign, −) is one of the four arithmetic operations along with addition, multiplication and division. Subtraction
Subtraction
This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass
Glossary of arithmetic and diophantine geometry
Glossary_of_arithmetic_and_diophantine_geometry
Number divisible only by 1 and itself
there are arbitrarily long finite arithmetic progressions consisting only of primes. Euler noted that the function n 2 − n + 41 {\displaystyle n^{2}-n+41}
Prime_number
Axioms for the natural numbers
define the arithmetical properties of the natural numbers. The naturals are assumed to be closed under a single-valued "successor" function S. For every
Peano_axioms
Basic concepts of algebra
arithmetic: arithmetic deals with specified numbers, whilst algebra introduces numerical variables (quantities without fixed values). In arithmetic,
Elementary_algebra
Arithmetic operation
denoted with the plus sign +, is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and division. The
Addition
Mathematical table
traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations with base-ten numbers. Many
Multiplication_table
Algorithmic runtime requirements for common math procedures
in Borwein & Borwein. The elementary functions are constructed by composing arithmetic operations, the exponential function ( exp {\displaystyle \exp
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Differentiating positive and negative zero
Signed zero is zero with an associated sign. In ordinary arithmetic, the number 0 does not have a sign, and −0, +0 and 0 are three ways of writing the
Signed_zero
Function computable with bounded loops
ISBN 978-1-107-04348-0 Thoralf Skolem (1923) "The foundations of elementary arithmetic" in Jean van Heijenoort, translator and ed. (1967) From Frege to
Primitive_recursive_function
Mathematical function, inverse of an exponential function
function ζ(s). Mathematics portal Arithmetic portal Chemistry portal Geography portal Engineering portal Decimal exponent (dex) Exponential function Index
Logarithm
Number that, when added to the original number, yields the additive identity
opposite number, or the negative of a number. The unary operation of arithmetic negation is closely related to subtraction and is important in solving
Additive_inverse
Number which when multiplied by x equals 1
an integer reciprocal, and so the integers are not a field. In modular arithmetic, the modular multiplicative inverse of a is also defined: it is the number
Multiplicative_inverse
Mathematical problem
either 11 or 12 elements. Elementary function – Type of mathematical function Elementary function arithmetic – System of arithmetic in proof theory Liouville's
Tarski's high school algebra problem
Tarski's_high_school_algebra_problem
Number raised to the third power
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number
Cube_(algebra)
Gödel's β function is a function used to permit quantification over finite sequences of natural numbers in formal theories of arithmetic. The β function is used
Gödel's_β_function
Arithmetic operation
Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is
Division_(mathematics)
Computation model defining an abstract machine
engine describes the following five operations (cf. p. 52–53): The arithmetic functions +, −, ×, where − indicates "proper" subtraction: x − y = 0 if y ≥
Turing_machine
Number taken as representative of a list of numbers
elements is that element itself. The function g(x1, x2, ..., xn) = x1+x2+ ··· + xn provides the arithmetic mean. The function g(x1, x2, ..., xn) = x1x2···xn
Average
Axiomatic logical system
In mathematics, Robinson arithmetic is a finitely axiomatized fragment of first-order Peano arithmetic (PA), first set out by Raphael M. Robinson in 1950
Robinson_arithmetic
Set of residue classes modulo n, relatively prime to n
integers modulo n Congruence relation Euler's totient function Greatest common divisor Modular arithmetic Number theory Residue number system Long (1972, p
Reduced_residue_system
replaces each arithmetic operation or elementary function call in the formula by a call to the corresponding AA library routine. For smooth functions, the approximation
Affine_arithmetic
Algebraic manipulation of "true" and "false"
denoted as ∨, and negation (not) denoted as ¬. Elementary algebra, on the other hand, uses arithmetic operators such as addition, multiplication, subtraction
Boolean_algebra
Field of mathematics
or rational function. A fundamental goal is to describe arithmetic properties in terms of underlying geometric structures. Global arithmetic dynamics is
Arithmetic_dynamics
Number used for counting
numbers coming after smaller ones in the list 1, 2, 3, .... Two basic arithmetical operations are defined on natural numbers: addition and multiplication
Natural_number
Branch of algebraic geometry
Rational points can be directly characterized by height functions which measure their arithmetic complexity. The structure of algebraic varieties defined
Arithmetic_geometry
value property). Also subharmonic function and superharmonic function. Elementary function: composition of arithmetic operations, exponentials, logarithms
List_of_types_of_functions
Exponential function of an exponential function
A double exponential function is a constant raised to the power of an exponential function. The general formula is f ( x ) = a b x = a ( b x ) {\displaystyle
Double_exponential_function
Theorem that arithmetical truth cannot be defined in arithmetic
formal semantics. Informally, the theorem states that "arithmetical truth cannot be defined in arithmetic". The theorem applies more generally to any sufficiently
Tarski's undefinability theorem
Tarski's_undefinability_theorem
Symbolic description of a mathematical object
define the same function; such an equality is called a "semantic equality", that is, both expressions "mean the same thing." In elementary algebra, a variable
Expression_(mathematics)
Axiomatic set theory devised by W.V.O. Quine
{\displaystyle {\mathsf {EFA}}} see elementary function arithmetic. P A {\displaystyle {\mathsf {PA}}} see Peano arithmetic. Z 2 {\displaystyle {\mathsf {Z}}_{2}}
New_Foundations
regular trees, every true S2S sentence may already be provable in elementary function arithmetic. It is non-regular trees that may require nonpredicative comprehension
S2S_(mathematics)
Inverse functions of sin, cos, tan, etc.
(3rd ed.). Berlin: J. Springer. Translated as Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Translated by Hedrick, E
Inverse trigonometric functions
Inverse_trigonometric_functions
Type of logical system
topic, such as set theory, a theory for groups, or a formal theory of arithmetic, is usually a first-order logic together with a specified domain of discourse
First-order_logic
Logarithm to the base of the mathematical constant e
\ln(x)} is undefined at 0, the function itself does not have a Maclaurin series, unlike many other elementary functions. Instead, one looks for Taylor
Natural_logarithm
Device used for calculations
portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was
Calculator
Subfield of mathematics
provably total function in intuitionistic arithmetic is computable; this is not true in classical theories of arithmetic such as Peano arithmetic. Algebraic
Mathematical_logic
Theorem about natural numbers
theorem is unprovable in Peano arithmetic (but it can be proven in stronger systems, such as second-order arithmetic or Zermelo–Fraenkel set theory)
Goodstein's_theorem
algebraic geometry). It is named after Suren Arakelov. Arithmetic 1. Also known as elementary arithmetic, the methods and rules for computing with addition
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Overview of and topical guide to discrete mathematics
of arithmetic – Integers have unique prime factorizations Modular arithmetic – Computation modulo a fixed integer Successor function – Elementary operation
Outline of discrete mathematics
Outline_of_discrete_mathematics
Limitative results in mathematical logic
"Any consistent formal system F within which a certain amount of elementary arithmetic can be carried out is incomplete; i.e. there are statements of the
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Mathematical function that can be computed by a program
first-order Peano arithmetic). A function that can be proven to be computable is called provably total. The set of provably total functions is recursively
Computable_function
Extension of the factorial function
the gamma function can also be evaluated quickly using arithmetic–geometric mean iterations (see particular values of the gamma function). Unlike many
Gamma_function
Mathematical-logic system based on functions
for arithmetic. (In Church's original lambda calculus, the formal parameter of a lambda expression was required to occur at least once in the function body
Lambda_calculus
Possible axiom for set theory in mathematics
Observations Concerning Elementary Extensions of ω-models. II (1973, p.227). Accessed 2021 November 3. W. Marek, ω-models of second-order arithmetic and admissible
Axiom_of_constructibility
Function in mathematical number theory
In number theory, a branch of mathematics, the Carmichael function λ(n) of a positive integer n is the smallest positive integer m such that a m ≡ 1 (
Carmichael_function
Approximate identity involving logarithms of primes
Selberg's identity is proved using the concept of taking derivatives of arithmetic functions defined by f ′ ( n ) = f ( n ) ⋅ log ( n ) {\displaystyle f^{\prime
Selberg's_identity
Mathematical logic concept
Gerhard Gentzen in 1936. It shows that the Peano axioms of first-order arithmetic do not contain a contradiction (i.e. are "consistent"), as long as a certain
Gentzen's_consistency_proof
Study of computable functions and Turing degrees
precise: a function of integers is computable in any formal system containing arithmetic if and only if it is computable in arithmetic, where a function f is
Computability_theory
Function returning one of only two values
function", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Janković, Dragan; Stanković, Radomir S.; Moraga, Claudio (November 2003). "Arithmetic expressions
Boolean_function
ELEMENTARY FUNCTION-ARITHMETIC
ELEMENTARY FUNCTION-ARITHMETIC
Girl/Female
Indian
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Girl/Female
Hindu, Indian
Fraction of the Cosmos
Boy/Male
Indian
Friction
Boy/Male
French Greek
Cyrano de Bergerac was a seventeenth-century soldier and science-fiction writer.
Girl/Female
Afghan, Arabic, Australian, Indian, Muslim
Fiction; Romance; Story
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Surname or Lastname
English
English : topographic name for someone who lived by a watercourse or road junction, Old English gelǣt, or a habitational name from Leat in Devon, or The Leete in Essex, named with this element.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Biblical
Look for pages within Wikipedia that link to this title
If a page was recently created here it may not be visible yet because of a delay in updating the database; wait a few minutes or try the function.
Look for pages within Wikipedia that link to this title
Girl/Female
Bengali, Indian
Fraction of Time
Girl/Female
Tamil
Ankshika | அஂகà¯à®·à¯€à®•à®¾
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
ELEMENTARY FUNCTION-ARITHMETIC
ELEMENTARY FUNCTION-ARITHMETIC
Biblical
my father,my father is Jehovah
Girl/Female
Arabic, Muslim
Protector; Central; Defendant
Girl/Female
Arabic, Gujarati, Indian, Muslim
Happiness; Saviour
Boy/Male
Native American
High chief.
Female
Irish
Variant spelling of Irish Gaelic Fionnghuala, FINNGUALA means "white shoulder."
Boy/Male
Tamil
Hill top
Male
Hebrew
(בְּצַלְ×ֵל) Hebrew name BETSALEL means "in the shadow." In the bible, this is the name of a son of Uri who was one of the architects of the tabernacle, and the name of an Israelite.Â
Boy/Male
Indian
Beautiful
Surname or Lastname
English
English : patronymic from the Middle English personal name Rannulf, Ranel, of continental Germanic origin.
Male
English
English name derived from Latin Albinus, ALBIN means "like Albus," i.e. "white."
ELEMENTARY FUNCTION-ARITHMETIC
ELEMENTARY FUNCTION-ARITHMETIC
ELEMENTARY FUNCTION-ARITHMETIC
ELEMENTARY FUNCTION-ARITHMETIC
ELEMENTARY FUNCTION-ARITHMETIC
adv.
According to elements; literally; as, the words, "Take, eat; this is my body," elementally understood.
a.
Pertaining to, or treating of, the elements, rudiments, or first principles of anything; initial; rudimental; introductory; as, an elementary treatise.
v. t.
To supply with an organ or organs having a special function or functions.
a.
Having only one principle or constituent part; consisting of a single element; simple; uncompounded; as, an elementary substance.
v. t.
The act of uniting, or the state of being united; junction.
v. t.
To give sanction to; to ratify; to confirm; to approve.
n.
The act or process of affording nutriment; the function of the alimentary canal.
a.
Pertaining to aliment or food, or to the function of nutrition; nutritious; alimental; as, alimentary substances.
n.
The act of anointing, smearing, or rubbing with an unguent, oil, or ointment, especially for medical purposes, or as a symbol of consecration; as, mercurial unction.
a.
Pertaining to rudiments or first principles; rudimentary; elementary.
n.
The things sold by auction or put up to auction.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Pertaining to the elements, first principles, and primary ingredients, or to the four supposed elements of the material world; as, elemental air.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
a.
Elementary.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
v. t.
To sell by auction.