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In mathematical logic, an elementary definition is a definition that can be made using only finitary first-order logic, and in particular without reference
Elementary_definition
Topics referred to by the same term
Elementary definition, in mathematical logic elementary OS, a Linux distribution Elementary particle, in particle physics Elementary proof Elementary
Elementary
Type of discrete orthogonal polynomials
In mathematics, discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced
Discrete Chebyshev polynomials
Discrete_Chebyshev_polynomials
a categorical fibration. The definition of categorical fibration is credited to Grothendieck. An elementary definition of fibration can be easily derived:
Fibrations_of_graphs
Measure of positive and negative charges
from the negative charge to the positive one. A stronger mathematical definition is to use vector algebra, since a quantity with magnitude and direction
Electric_dipole_moment
Type of mathematical function
are elementary functions involved, in some sense, in the definition of the function. The Risch algorithm (1968) can decide whether an elementary function
Elementary_function
Topics referred to by the same term
Intensional definition Elementary definition Recursive definition Field of definition A continuous function A well-defined function High-definition television
Definition_(disambiguation)
Charge carried by one proton or electron
The elementary charge, usually denoted by e, is a fundamental physical constant, defined as the electric charge carried by a single proton (+1 e) or, equivalently
Elementary_charge
SI base unit of electric current
fixing the elementary charge e to be exactly 1.602176634×10−19 C, which means an ampere is an electric current equivalent to 1019 elementary charges moving
Ampere
Conversion constant for amount of substance
the Avogadro constant. The fundamental definition of the Avogadro constant itself is therefore one per elementary amount (NA = 1/na), independent of any
Avogadro_constant
SI unit of amount of substance
system which contains as many elementary entities as there are atoms in 0.012 kilograms of carbon-12." Thus, by that definition, one mole of pure 12C had
Mole_(unit)
Collection of proofs of equations involving trigonometric functions
trigonometric identities between them depend on the chosen definition. The oldest and most elementary definitions are based on the geometry of right triangles and
Proofs of trigonometric identities
Proofs_of_trigonometric_identities
School for children
2017. Retrieved 9 November 2007. "Definition of GRADE SCHOOL". Merriam-Webster. 9 April 2024. "Definition of ELEMENTARY SCHOOL". Merriam-Webster. 5 April
Primary_school
Mathematical logic
theory of real closed fields Axiomization of Euclidean geometry Elementary definition Elementary theory of the reals Mac Lane and Moerdijk, Sheaves in Geometry
Elementary_theory
Set of all things that may be the input of a mathematical function
of f is X. In modern mathematical language, the domain is part of the definition of a function rather than a property of it. In the special case that X
Domain_of_a_function
3-volume treatise on mathematics, 1910–1913
edition, below) begins with a definition of the sign "⊃" ✱1.01. p ⊃ q .=. ∾ p ∨ q. Df. ✱1.1. Anything implied by a true elementary proposition is true. Pp modus
Principia_Mathematica
Primary frequency standard
primary standard for the definition of the second in the International System of Units (SI), the modern metric system. By definition, radiation produced by
Caesium_standard
Subatomic particle having no substructure
In the Standard Model of particle physics, an elementary particle or fundamental particle is a subatomic particle that is not composed of other particles
Elementary_particle
Something that has mass and volume
based on its structure or "building blocks". On the scale of elementary particles, a definition that follows this tradition can be stated as: "ordinary matter
Matter
Theorem in vector calculus
see the coarea formula. In this article, we instead use a more elementary definition, based on the fact that a boundary can be discerned for full-dimensional
Stokes'_theorem
Concept in probability theory
disjunction of elementary events is just the number of events in the disjunction divided by the total number of elementary events. The classical definition of probability
Classical definition of probability
Classical_definition_of_probability
Algebraic manipulation of "true" and "false"
mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth
Boolean_algebra
Numerical method for solving physical or engineering problems
in V {\displaystyle V} are not differentiable according to the elementary definition of calculus. Indeed, if v ∈ V {\displaystyle v\in V} then the derivative
Finite_element_method
2025 wildfire in Southern California, US
The Los Angeles Unified School District schools Palisades Elementary and Marquez Elementary Schools were destroyed. Palisades Charter High School was
Palisades_Fire
Branch of mathematics that studies sets
sometimes called "the Russell set".) If R is not a member of itself, then its definition entails that it is a member of itself; yet, if it is a member of itself
Set_theory
Mathematical concept
numbers over the rationals, as described by Hewitt and Stromberg. Elementary definition by powers. Define the exponential function with base a > 0 {\displaystyle
Characterizations of the exponential function
Characterizations_of_the_exponential_function
Electromagnetic property of matter
quantized: it comes in integer multiples of individual small units called the elementary charge, e, about 1.602×10−19 C, which is the smallest charge that can
Electric_charge
Problem in computer science
A key part of the formal statement of the problem is a mathematical definition of a computer and program, usually via a Turing machine. The proof then
Halting_problem
Particle smaller than an atom
particle or an elementary particle. A composite particle, such as a proton or a neutron, is composed of other particles while an elementary particle, such
Subatomic_particle
Concept in model theory
syntax Alphabet Arity Automata Axiom schema Expression ground Extension by definition conservative Relation Formation rule Grammar Formula atomic closed ground
Amalgamation_property
2018 mass shooting in Florida, U.S.
veteran, has called for a ban on the sale of AR-15-style rifles. "The exact definition of assault weapon will need to be determined," Mr. Mast said. "But we
Parkland_high_school_shooting
Country primarily in North America
student than any other country, an average of $18,614 per year per public elementary and secondary school student in 2020–2021. Among Americans age 25 and
United_States
Subfield of mathematics
of the set of natural numbers (up to isomorphism) and the recursive definitions of addition and multiplication from the successor function and mathematical
Mathematical_logic
syntax Alphabet Arity Automata Axiom schema Expression ground Extension by definition conservative Relation Formation rule Grammar Formula atomic closed ground
Apartness_relation
Archipelagic country in Southeast Asia
Primary and secondary schooling in the Philippines consists of six years of elementary period, four years of junior high school, and two years of senior high
Philippines
Axiom(s) of Set Theory
each n. In this way n = {0, 1, …, n − 1} for each natural number n. This definition has the property that n is a set with n elements. The first few numbers
Set-theoretic definition of natural numbers
Set-theoretic_definition_of_natural_numbers
The definition of religion is a controversial and complicated subject in religious studies with scholars failing to agree on any one definition. Oxford
Definition_of_religion
Country in South America
is required by Law of Guidelines and Bases of Education. Kindergarten, elementary and medium education are required of all students. The Brazilian public
Brazil
American actress and singer (born 1996)
from her father's previous relationships. Zendaya attended Fruitvale Elementary School, where her mother taught. She was described as energetic and outgoing
Zendaya
Most populous city in Canada
the Toronto census metropolitan area (CMA), with a somewhat different definition, has a population of 7,106,379. Toronto is an international centre of
Toronto
Province of Canada
responses. The following figure is taken from the province's "Inclusive Definition of Francophones", (IDF) which includes those whose mother tongue is French
Ontario
is contained in the conductor. Indeed, for such a J, JB ⊆ J ⊆ A, so by definition J is contained in f ( B / A ) {\displaystyle {\mathfrak {f}}(B/A)} . Conversely
Conductor_(ring_theory)
Process that results in the interconversion of chemical species
Reactions often consist of a sequence of individual sub-steps, the so-called elementary reactions, and the information on the precise course of action is part
Chemical_reaction
Abelian group with no non-trivial torsion elements
Cauchy's theorem Lagrange's theorem Sylow theorems Hall's theorem p-group Elementary abelian group Frobenius group Schur multiplier Classification of finite
Torsion-free_abelian_group
Diagram that shows all possible logical relations between a collection of sets
by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability
Venn_diagram
First working programmable, fully automatic digital computer
because it lacked conditional branching, the Z3 only satisfies this definition by speculatively computing all possible outcomes of a calculation. Thanks
Z3_(computer)
American singer and actress (born 1946)
Stefani presented Cher with the Billboard Icon Award, calling her the "definition of the word Icon" and a role model of strength and authenticity. In March
Cher
American television series (2005–present)
approximately 43 minutes long and is broadcast in both high and standard-definition. The series' episodes are also available for download in both qualities
Grey's_Anatomy
Fifth letter of the Latin alphabet
prepackaged goods for sale within the European Union). e: the symbol for the elementary charge (the electric charge carried by a single proton). ∃: existential
E
Japanese light novel series
Peak, the designated location for the ritual, they encounter Nazuna, an elementary school girl who ignored the mountain's evacuation alarm. The girl explains
Agents_of_the_Four_Seasons
American media franchise
learning resource. For example, a project in Western Australia honed elementary school students' storytelling skills by role-playing action scenes from
Star_Wars
Family of Unix-like operating systems
Journal. Retrieved April 4, 2026. Linux at Wikipedia's sister projects Definitions from Wiktionary Media from Commons Quotations from Wikiquote Texts from
Linux
Study of computable functions and Turing degrees
is not completely standardized. The definition in terms of μ-recursive functions as well as a different definition of rekursiv functions by Gödel led to
Computability_theory
Property of sets used in constructive mathematics
syntax Alphabet Arity Automata Axiom schema Expression ground Extension by definition conservative Relation Formation rule Grammar Formula atomic closed ground
Inhabited_set
Change between conductive and non-conductive state
material to be a metal, the excitation frequency (ω) must be zero by definition, which then gives us the static dielectric constant, where εs is the static
Metal–insulator_transition
Ordered field that does not satisfy the Archimedean property
Leibniz Abraham Robinson Pierre de Fermat Augustin-Louis Cauchy Leonhard Euler Textbooks Analyse des Infiniment Petits Elementary Calculus Cours d'analyse
Non-Archimedean_ordered_field
American singer and songwriter (born 1981)
fifteen and sixteen. In 1990, a nine-year-old Beyoncé enrolled in Parker Elementary School, a music magnet school in Houston, where she performed with the
Beyoncé
case it can be defined by the equations σ1 = σ4 = 0, where σi is the ith elementary symmetric function of the coordinates (x0 : x1 : x2 : x3 : x4 : x5) of
Burkhardt_quartic
Japanese art of paper folding
kami meaning 'paper' (kami changes to gami due to rendaku) "Origami | Definition, History, Styles, & Facts | Britannica". Encyclopedia Britannica. Archived
Origami
2025 U.S. presidential order
on girls and women's sports teams, based on the "male" and "female" definitions of his Executive Order 14168. Part of a broader targeting of transgender
Executive_Order_14201
Country in East Asia
because an entire class may participate in ostracizing a single student. Elementary school students now report the highest victimization rates, at approximately
South_Korea
{\displaystyle {\mathsf {ELEMENTARY}}} consists of the decision problems that can be solved in time bounded by an elementary recursive function. Equivalently
ELEMENTARY
Computation model defining an abstract machine
can be moved back and forth through the machine, this being one of the elementary operations of the machine. Any symbol on the tape may therefore eventually
Turing_machine
Type of mathematical measure
are integrable for all the elementary definitions of integrals. The measure (in the sense defined above) defined by elementary integration is precisely
Radon_measure
City in the Southern Levant
Blue Letter Bible. Retrieved 14 February 2026. Strong's Concordance Definition: Shalem, an early name of Jerusalem "Strong's Hebrew: 8004. שָׁלֵם (Shalem)
Jerusalem
Country in Central Europe
People. Indianapolis: The Bobbs-Merrill Company, 1948. "Warsaw Pact: Definition, History, and Significance". Archived from the original on 31 May 2022
Poland
Culturally recognised union between people
between them and their in-laws. It is nearly a cultural universal, but the definition of marriage varies between cultures and religions, and over time. Typically
Marriage
Country in East Africa
National Museum and the Burundi Museum of Life in Gitega. In 2010 a new elementary school was opened in the small village of Rwoga that is funded by the
Burundi
used to show that any two countable atomic models of a theory that are elementarily equivalent are isomorphic. Some authors refer to complete formulas as
Atomic model (mathematical logic)
Atomic_model_(mathematical_logic)
Major branch of Protestantism
same work he calls Confession and Absolution "the third sacrament". The definition of sacrament in the Apology of the Augsburg Confession lists Absolution
Lutheranism
Country in West Africa
to the country in order to make the game part of the curriculum at the elementary, high school, and university levels. At the 2019 World Mixed Doubles Curling
Nigeria
Mathematical operation on invertible matrices
{(A+tB)}} in powers of t {\displaystyle t} can be obtained using the integral definition of the logarithm log ( X + λ I ) − log ( X ) = ∫ 0 λ d z I X + z I
Logarithm_of_a_matrix
Large countably-infinite ordinal number
{\mathsf {ID_{<\omega }}}} , the theory of finitely iterated inductive definitions, and of K P ℓ 0 {\displaystyle KP\ell _{0}} , a fragment of Kripke–Platek
Buchholz's_ordinal
Basic framework of mathematics
involved. His method anticipated that of Dedekind cuts in the modern definition of real numbers by Richard Dedekind (1831–1916); see Eudoxus of Cnidus
Foundations_of_mathematics
American television sitcom (1987–1995)
" Josh Jackson wrote in a positive review: "Full House: The absolute definition of the 'family sitcom' in the late '80s/early '90s. Unlike the Blossoms
Full_House
Conservative political initiative in the United States
administration's Title IX regulations. Additionally, it seeks to change the definition of sex under Title IX to mean only biological sex recognized at birth
Project_2025
Theorem for proving more complex theorems
Society for Industrial and Applied Mathematics. p. 16. ISBN 0-89871-420-6. "Definition of lemma | Dictionary.com". www.dictionary.com. Retrieved 2019-11-28.
Lemma_(mathematics)
Relation between sides of a right triangle
is similar to triangle ABC, because they both have a right angle (by definition of the altitude), and they share the angle at A, meaning that the third
Pythagorean_theorem
national education budget. Compulsory education includes six years of elementary school, typically starting at the age of six and finishing at the age
Economy_of_China
Cauchy's theorem Lagrange's theorem Sylow theorems Hall's theorem p-group Elementary abelian group Frobenius group Schur multiplier Classification of finite
Semitopological_group
One of the seven units of measurement that define the metric system
the current definitions and their values under the proposed new definition. He urged the CIPM to accept the proposed changes in the definition of the kilogram
SI_base_unit
Rejection of certain ideas about reality
established political institutions. The precise definition of nihilism is disputed, and many other definitions and types of nihilism have been proposed, covering
Nihilism
Type of school for young children
Retrieved 26 October 2021. "Definition of 'Infant School'". Collins English Dictionary. Retrieved 23 August 2024. "Definition of Infant School". Merriam-Webster
Infant_school
Technique for the generative modeling of a continuous probability distribution
Arwen; Zhou, Hattie; Advani, Madhu (2024). "Step-by-Step Diffusion: An Elementary Tutorial". arXiv:2406.08929 [cs.LG]. "Guidance: a cheat code for diffusion
Diffusion_model
Distinct practices in Christian liturgy
ctvmd83df.5. S2CID 240240229. Proctor, Francis; Maclear, G. F. (1914). An Elementary Introduction to the Book of Common Prayer. London: Macmillan and Co.,
Use_(liturgy)
November 18, 1996 (1996-11-18) "Lassie Go Home": All the kids at Middlestick Elementary bring their pets into the win best pet award. "Hit the Showers": As if
List of Stickin' Around episodes
List_of_Stickin'_Around_episodes
Cohort born from 1928 to 1945
generation is generally defined as people born from 1928 to 1945. By this definition and U.S. census data, there were 23 million people from the Silent Generation
Silent_Generation
City in Kansas, U.S.
schools in the city including 12 high schools, 16 middle schools, 61 elementary schools, and more than a dozen special schools and programs. Outlying
Wichita,_Kansas
American animated sitcom
characters, including students, families, and elementary school staff. Prominent settings include South Park Elementary, various neighborhoods and the surrounding
South_Park
Mathematics concept
the 256 elementary cellular automata, 64 are amphichiral. The second such transformation is to exchange the roles of 0 and 1 in the definition. The result
Elementary_cellular_automaton
U.S. state
developed through a program of acquisition of second languages beginning in elementary school, and related to Mormonism's missionary goals for its young people
Utah
Scientific field of study
smallest scale at which chemical elements can be identified. The physics of elementary particles is on an even smaller scale since it is concerned with the most
Physics
Floating-point accuracy metric
used as a measure of accuracy in numeric calculations. The most common definition is: In radix b {\displaystyle b} with precision p {\displaystyle p} ,
Unit_in_the_last_place
Structured form of play
rules. Scholars have long debated the essence of games, with no single definition achieving universal acceptance. Games are a universal feature of human
Game
American politician and attorney (born 1951)
the storms. The bill would revise the Department of Homeland Security's definition of "emergency response providers" to add utility line technicians. After
John Kennedy (Louisiana politician)
John_Kennedy_(Louisiana_politician)
Function that preserves distinctness
monomorphism. However, in the more general context of category theory, the definition of a monomorphism differs from that of an injective homomorphism. This
Injective_function
Set of the elements not in a given subset
Difference". web.mnstate.edu. Retrieved 2020-09-04. "Complement (set) Definition (Illustrated Mathematics Dictionary)". www.mathsisfun.com. Retrieved 2020-09-04
Complement_(set_theory)
4th-century BC Greek Cynic philosopher
Plato's man.'"[non-primary source needed] Plato subsequently amended the definition to include "broad, flat nails". When a follower of the Eleatic Zeno argued
Diogenes
Christological doctrine attributed to Arius
that the three are collectively "one eternal God" but reject the Nicene definition of the Trinity, that the three are consubstantial. In some respects, Latter-day
Arianism
U.S. state
districts; four on Oʻahu and one for each of the other three counties. Public elementary, middle and high school test scores in Hawaii are below national averages
Hawaii
ELEMENTARY DEFINITION
ELEMENTARY DEFINITION
Biblical
savior; deliverer, The Greek form of the name Joshua or Jeshua, a contraction of Jehoshua, that is, help of Jehovah or saviour. Latin: Jesus, Iesus, Iesu, Josue. Greek: Ieous from Hebrew Yeshua. Also means safety, victory and who's help is Jehovah or it may be from the verb "Yasha", "to save," and = Jehovah Savior, or simply Savior; a late form of Hebrew "yehosua", the Jesus means of which is "YHWH is salvation" or "YHWH saves/has saved." Online definition of "savior." Latin term drove out Old English "hæland" which means "healer" as the preferred descriptive term for Jesus.
Girl/Female
Indian
Definition
Girl/Female
Hindu, Indian
Number; Definition
ELEMENTARY DEFINITION
ELEMENTARY DEFINITION
Surname or Lastname
English
English : variant of Bolling.Partly Americanized form of German Bolling or Bohling.
Boy/Male
Celtic Latin Irish
Blind.
Girl/Female
Gujarati, Hindu, Indian
The Consort of God Krishna
Boy/Male
Hindu, Indian
King of Earth; One who Rules the Earth; Dominating; Merciful; Graceful; Confident
Girl/Female
Biblical
A bog, converted.
Boy/Male
Australian, British, English, Welsh
Legendary Son of Kil Coed; One with Gray Hair
Girl/Female
Gujarati, Hindu, Indian
Bringer of Wealth; Gold; Golden
Surname or Lastname
English (Kent)
English (Kent) : apparently a habitational name from a lost or unidentified place.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit
Without Beginning; Name of Lord Shiva
Male
Egyptian
, brother of Isis and Osiris.
ELEMENTARY DEFINITION
ELEMENTARY DEFINITION
ELEMENTARY DEFINITION
ELEMENTARY DEFINITION
ELEMENTARY DEFINITION
a.
Pertaining to one of the four elements, air, water, earth, fire.
n.
Unorganized material; elementary matter.
n.
An elementary piece of the mechanism of a lock.
a.
Regulative.
a.
Pertaining to aliment or food, or to the function of nutrition; nutritious; alimental; as, alimentary substances.
n.
The state of being elementary; original simplicity; uncompounded state.
a.
Elementary.
a.
Capable of being leased; held by tenants.
n.
The whole alimentary, or enteric, canal.
adv.
According to elements; literally; as, the words, "Take, eat; this is my body," elementally understood.
a.
Elementary; rudimental.
n.
The doctrine of the elementary requisites of mere thought.
a.
Relating to hypostasis, or substance; hence, constitutive, or elementary.
a.
Pertaining to rudiments or first principles; rudimentary; elementary.
a.
Elementary.
n.
Elementariness.
a.
Pertaining to the elements, first principles, and primary ingredients, or to the four supposed elements of the material world; as, elemental air.
a.
Pertaining to, or treating of, the elements, rudiments, or first principles of anything; initial; rudimental; introductory; as, an elementary treatise.
a.
Having only one principle or constituent part; consisting of a single element; simple; uncompounded; as, an elementary substance.
a.
Combined with arsenic; -- said some elementary substances or radicals; as, arseniureted hydrogen.