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Logic principle
In logic, extensionality, or extensional equality, refers to principles that judge objects to be equal if they have the same external properties. It stands
Extensionality
Axiom used in set theory
only if A and B have the same members. The term extensionality, as used in 'axiom of extensionality' has its roots in logic. An intensional definition
Axiom_of_extensionality
Topics referred to by the same term
Look up extension, extend, or extended in Wiktionary, the free dictionary. Extension, extend or extended may refer to: Axiom of extensionality Extensible
Extension
Program that extends the functionality of a web browser
A browser extension is a software module for customizing a web browser. Browsers typically allow users to install a variety of extensions, including user
Browser_extension
Construction of a larger algebraic field by "adding elements" to a smaller field
In mathematics, particularly in algebra, a field extension is a pair of fields K ⊆ L {\displaystyle K\subseteq L} , such that the operations of K are
Field_extension
Basic notion of sameness in mathematics
3\}=\{1,2,3\},} The term extensionality, as used in 'Axiom of Extensionality' has its roots in logic and grammar (cf. Extension (semantics)). In grammar
Equality_(mathematics)
Filename suffix indicating file type
A filename extension, also known as file name extension or file extension, is a suffix to the name of a computer file (for example, .txt, .mp3, .exe) that
Filename_extension
Error in thinking due to under-valuing the size of a set
psychology Evolutionary psychology List of cognitive biases The concept of extensionality is used throughout Kahneman and Tversky's research as synonymous of
Extension_neglect
Operation in computer arithmetic
Sign extension (sometimes abbreviated as sext, particularly in mnemonics) is the operation, in computer arithmetic, of increasing the number of bits of
Sign_extension
Standard system of axiomatic set theory
axiom of extensionality implies the empty set is unique (does not depend on w {\displaystyle w} ). It is common to make a definitional extension that adds
Zermelo–Fraenkel_set_theory
Web browser developed by Google
as the Google Chrome Extensions Gallery. Some extensions focus on providing accessibility features. Google Tone is an extension developed by Google that
Google_Chrome
Mathematical field obtained by adjunction of nth roots
field theory, a radical extension of a field K {\displaystyle K} is a field extension obtained by a tower of field extensions, each generated by adjoining
Radical_extension
2021 British TV series or programme
Extraordinary Extensions is a Channel 4 television series presented by Tinie Tempah. "Watch Extraordinary Extensions | Stream free on Channel 4". Retrieved
Extraordinary_Extensions
Algebraic field extension
In mathematics, a Galois extension is an algebraic field extension E/F that is normal and separable; or equivalently, E/F is algebraic, and the field
Galois_extension
Type of algebraic field extension
a branch of algebra, an algebraic field extension E / F {\displaystyle E/F} is called a separable extension if for every α ∈ E {\displaystyle \alpha
Separable_extension
Concept in mathematics
In mathematical logic, a conservative extension is a supertheory of a theory which is often convenient for proving theorems, but proves no new theorems
Conservative_extension
Topics referred to by the same term
Central extension may refer to: Central Extension (Long Island Rail Road), a rail line Central extension (mathematics), a type of group extension This disambiguation
Central_extension
Type of electrical power cable
An extension cord (US), extension cable, power extender, drop cord, or extension lead (UK) is a length of flexible electrical power cable (flex) with
Extension_cord
Surjective ring homomorphism with a given codomain
abstract algebra, an algebra extension is the ring-theoretic equivalent of a group extension. Precisely, a ring extension of a ring R by an abelian group
Algebra_extension
Group for which a given group is a normal subgroup
In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q {\displaystyle
Group_extension
In the context of semantics the extension of a concept, idea, or sign
the notion of the extension of anything is the idea behind the axiom of extensionality in axiomatic set theory. This kind of extension is used so constantly
Extension_(semantics)
extensions include: List of filename extensions (0–9) List of filename extensions (A–E) List of filename extensions (F–L) List of filename extensions
Lists_of_filename_extensions
Concept of extending human lifespan
Life extension is the concept of extending the human lifespan, either through incremental improvements in medicine or through radical increases in maximum
Life_extension
Farm efficiency through education
Agricultural extension is the application of scientific research and new knowledge to agricultural practices through farmer education. The field of 'extension' now
Agricultural_extension
in a program. The concepts that are used to explain this concept are extensionality, definiteness, substitutivity of identity, unfoldability, and referential
Value_semantics
Way to extend a non-compact topological space
In the mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such
Alexandroff_extension
Category theory constructs
Kan extensions are universal constructs in category theory, a branch of mathematics. They are closely related to adjoints, but are also related to limits
Kan_extension
algebra, a primary extension L of K is a field extension such that the algebraic closure of K in L is purely inseparable over K. An extension L/K is primary
Primary_extension
forking extension of a type is an extension of that type that is not free[clarification needed] whereas a non-forking extension is an extension that is
Forking_extension
Classification of definitions in mathematics, philosophy, and logic
of semantics the extension of a concept, idea, or sign Extensional context – Extensions with context Extensionalism Extensionality – Logic principle
Extensional and intensional definitions
Extensional_and_intensional_definitions
Marketing strategy
Brand extension or brand stretching is a marketing strategy in which a firm marketing a product with a well-developed image uses the same brand name in
Brand_extension
System of mathematical set theory
embodied in S. Extensionality does not follow from the iterative conception, and so is not a theorem of S. However, S + Extensionality is free of contradiction
S_(set_theory)
Bias in which choices are influenced by the options' connotations
to the extensionality principle. If judgments are made on the basis of irrelevant information as described, that is called an extensionality violation
Framing_effect_(psychology)
Resistance weight training exercise
The leg extension is a resistance weight training exercise that targets the quadriceps muscle (m. quadriceps femoris) in the legs. The exercise is done
Leg_extension
Polymer solution parameter
Extensional viscosity (also known as elongational viscosity) is a viscosity coefficient when the applied stress is extensional stress. It is often used
Extensional_viscosity
Theorem extending pre-measures to measures
In measure theory, Carathéodory's extension theorem (named after the mathematician Constantin Carathéodory) states that any pre-measure defined on a given
Carathéodory's extension theorem
Carathéodory's_extension_theorem
Field extension that is not algebraic
In mathematics, a transcendental extension L / K {\displaystyle L/K} is a field extension such that there exists an element in the field L {\displaystyle
Transcendental_extension
Extension of a mathematical field with polynomial roots
In mathematics, an algebraic extension is a field extension L/K such that every element of the larger field L is algebraic over the smaller field K; that
Algebraic_extension
Galois extension whose Galois group is abelian
extension is a Galois extension whose Galois group is abelian. When the Galois group is also cyclic, the extension is also called a cyclic extension.
Abelian_extension
Topics referred to by the same term
library Extension service may refer to: Cooperative State Research, Education, and Extension Service (CSREES), a USDA office Agricultural extension services
Extension_Service
General-purpose programming language
metaprogramming and metaobjects. Many other paradigms are supported via extensions, including design by contract and logic programming. Python is often referred
Python_(programming_language)
algebra known as ring theory, an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood
Ore_extension
Crop growing method
Season extension in agriculture is any method that allows a crop to be grown beyond its normal outdoor growing season and harvesting time frame, or the
Season_extension
BASIC toolkits (aka BASIC extensions) were a common type of program for 1980s 8-bit home computers. Generally third-party extensions, they added additional
BASIC_extension
Topics referred to by the same term
Extension theorem may refer to: Carathéodory's extension theorem - a theorem in measure theory, named after the Greek mathematician Constantin Carathéodory
Extension_theorem
Mathematical set containing no elements
used instead. In standard axiomatic set theory, by the principle of extensionality, two sets are equal if they have the same elements (that is, neither
Empty_set
Bandwidth extension of signal is defined as the deliberate process of expanding the frequency range (bandwidth) of a signal in which it contains an appreciable
Bandwidth_extension
Set of tuples in mathematical logic that satisfy a predicate
function of R R is the extension of Φ {\displaystyle \Phi } Extensional logic Extensional set Extensionality Intension extension (semantics) in nLab v
Extension_(predicate_logic)
.NET managed concurrency library
NET ADO.NET Framework Class Library Common Language Runtime Parallel Extensions was the development name for a managed concurrency library developed by
Parallel_Extensions
Web browser developed by Microsoft
the left side of the screen. As of December 2022, there are over 9,000 extensions—called add-ons—available for Edge. On February 7, 2023, Microsoft announced
Microsoft_Edge
Neighborhood of Delhi in South Delhi, India
South Extension or New Delhi South Extension (NDSE) is a neighbourhood of South Delhi, India. It is also described as a premier shopping destination. Situated
South_Extension
Common mistake of perception
Boundary extension (BE) is a cognitive psychology phenomenon and an error of commission in which people remember more of a scene or boundary than was
Boundary_extension
Property of stretching out or taking up space
In metaphysics, extension signifies both 'stretching out' (Latin: extensio) as well as later 'taking up space', and most recently, spreading one's internal
Extension_(metaphysics)
In functional analysis, the Friedrichs extension is a canonical self-adjoint extension of a non-negative densely defined symmetric operator. It is named
Friedrichs_extension
Field extension generated by a one element
simple extension is a field extension that is generated by the adjunction of a single element, called a primitive element. Simple extensions are well
Simple_extension
Geological process of stretching planet crust
Extensional tectonics is concerned with the structures formed by, and the tectonic processes associated with, the stretching of a planetary body's crust
Extensional_tectonics
Unicode character block
Phonetic Extensions is a Unicode block containing phonetic characters used in the Uralic Phonetic Alphabet, Old Irish phonetic notation, the Oxford English
Phonetic_Extensions
Mathematic definition
In convex geometry and polyhedral combinatorics, the extension complexity of a convex polytope P {\displaystyle P} is the smallest number of facets among
Extension_complexity
mathematics, an extension topology is a topology placed on the disjoint union of a topological space and another set. There are various types of extension topology
Extension_topology
2010 novella by Stephen King
Fair Extension is a novella by American writer Stephen King, published in his collection Full Dark, No Stars (2010). In August 2001, on his way home in
Fair_Extension
German computer scientist
under Jörg H. Siekmann [de] in 1999 on the subject of Equality and Extensionality in Higher-Order Theorem Proving, supervised by Michael Kohlhase and
Christoph_Benzmüller
Continuous maps on a closed subset of a normal space can be extended
In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem or Urysohn-Brouwer lemma) states that any real-valued
Tietze_extension_theorem
Theorem in computability theory
= φ b {\displaystyle \varphi _{e}=\varphi _{b}} , contradicting the extensionality of P {\displaystyle P} since b ∉ P {\displaystyle b\notin P} , and conversely
Rice's_theorem
Axiomatic set theory devised by W.V.O. Quine
multiple, unequal empty sets, thus weakening the extensionality axiom of NF to: Weak extensionality: Two non-empty objects with the same elements are
New_Foundations
System of mathematical set theory
replaced by a single axiom that uses a class. Finally, ZFC's axiom of extensionality is modified to handle classes: If two classes have the same elements
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Construction of combinatorial group theory
In mathematics, the HNN extension is an important construction of combinatorial group theory. Introduced in a 1949 paper Embedding Theorems for Groups
HNN_extension
Type theory in logic and mathematics
noted that the groupoid model satisfies a rule they called "universe extensionality", which is none other than the restriction to 1-types of the univalence
Homotopy_type_theory
Extension 720 was a long-format interview program on WGN Radio. It ran for 39 years before being terminated in December 2012. Although the show originated
Extension_720
Web browser made by Mozilla
JavaScript, with API known as WebExtensions, which is designed to be compatible with Google Chrome and Microsoft Edge extension systems. Firefox previously
Firefox
Extensions with context
mathematics, semantics, semiotics, and philosophy of language — an extensional context (or transparent context) is a syntactic environment in which
Extensional_context
Unicode character block
IPA Extensions is a block (U+0250–U+02AF) of the Unicode standard that contains full size letters used in the International Phonetic Alphabet (IPA). Both
IPA_Extensions
Mathematical ordering of a partial order
In order theory, a branch of mathematics, a linear extension of a partial order is a total order (or linear order) that is compatible with the partial
Linear_extension
Term in telephony
In residential telephony, an extension telephone is an additional telephone wired to the same telephone line as another. In middle 20th century telephone
Extension_(telephone)
Extension Reef is a reef which encompasses a large number of small islands and rocks, extending 10 miles (16 km) southwest from the south end of Rabot
Extension_Reef
Ethical extensionism or moral extensionism is a metaethical or metaphilosophical approach in environmental ethics and animal ethics that extends existing
Ethical_extensionism
Tool for macro photography
An extension tube, sometimes also called a closeup tube or an extension ring, is used with interchangeable lenses to increase magnification. This is most
Extension_tube
Primer extension is a technique whereby the 5' ends of RNA can be mapped - that is, they can be sequenced and properly identified. Primer extension can be
Primer_extension
Neighbourhood in Montréal, Québec, Canada
Park Extension (French: Parc-Extension, pronounced [paʁk ɛkstɑ̃sjɔ̃]) is a neighbourhood in the city of Montréal, Québec. It is located in the borough
Park_Extension
Format for expressing RDF statements in HTML documents
Attributes is a W3C Recommendation that adds a set of attribute-level extensions to HTML, XHTML and various XML-based document types for embedding rich
RDFa
Privacy-focused online software company
a search engine named DuckDuckGo. Its later products include browser extensions and a custom DuckDuckGo web browser. Headquartered in Paoli, Pennsylvania
DuckDuckGo
Field extension of algebraic number field characterized by prime ideals of inertial deg 1
Bauerian extension is a field extension of an algebraic number field which is characterized by the prime ideals with inertial degree one in the extension. For
Bauerian_extension
Hair that artificially adds length to human hair
commonly known as hair extensions, hair weaves, or fake hair, are cosmetic treatments which add length to human hair. Hair extensions are usually clipped
Artificial_hair_integrations
Symbolic sub-division of a goal
Within anthropology, extension transference is the symbolic sub-division of a particular goal or purpose so that the sub-divided concepts seem fragmented
Extension_transference
American football player (born 1995)
off the field. On January 8, 2022, Vea signed a four-year, $73 million extension with the Buccaneers. As a result of the Los Angeles Rams advancing to
Vita_Vea
Unicode character block
Vedic Extensions is a Unicode block containing characters for representing tones and other vedic symbols in Devanagari and other Indic scripts. Related
Vedic_Extensions
Rocket component
A nozzle extension is an extension of the nozzle of a reaction/rocket engine. The application of nozzle extensions improves the efficiency of rocket engines
Nozzle_extension
In logic, defining a new symbol
logic, more specifically in the proof theory of first-order theories, an extension by definition formalizes the introduction of a new symbol by means of
Extension_by_definition
Labour law
unemployment extension occurs when regular unemployment benefits are exhausted and extended for additional weeks. Unemployment extensions are created by
Unemployment_extension
Structures projecting from cells
Cellular extensions also known as cytoplasmic protrusions and cytoplasmic processes are those structures that project from different cells, in the body
Cellular_extensions
An extension agency is an organisation that practices extension, in the context of community development; it is any "organization in some countries that
Extension_agency
Axiom of Zermelo-Fraenkel set theory
the set N of all natural numbers. This set is unique by the axiom of extensionality. To extract the natural numbers, we need a definition of which sets
Axiom_of_infinity
Metadata standard in digital media
APP1 segment. Although the FlashPix extensions allow information to span multiple JPEG APP2 segments, these extensions are not commonly used. This has prompted
Exif
Video output mechanism for the X Window System
The X video extension, often abbreviated as XVideo or Xv, is a video output mechanism for the X Window System. The protocol was designed by David Carver;
X_video_extension
be easily adapted to analogous theories, such as mereology. Axiom of extensionality Axiom of empty set Axiom of pairing Axiom of union Axiom of infinity
List_of_axioms
Software used to access websites
mode. They also allow users to set bookmarks, customize the browser with extensions, and manage their downloads and passwords. Some provide a sync service
Web_browser
Light rail extension project in Los Angeles County, California
The Foothill Extension (formerly the Gold Line Foothill Extension) is a construction project extending the light rail A Line, a part of the Los Angeles
Foothill_Extension
proponents of this view. Carnap's thesis of extensionality is associated with the relation between extensional and nonextensional languages. According to
Extensionalism
Programming language for automation scripts
given environment. When embedded in an application, it may be called an extension language. A scripting language is sometimes referred to as very high-level
Scripting_language
Collection of mathematical objects
of extensionality states that two sets are equal if and only if they have the same elements. There exists a set with no elements, and extensionality implies
Set_(mathematics)
Extension for X Window System
The Composite Extension of the X Window System renders the graphical output of clients "...to an off-screen buffer. Applications can then take the contents
Composite_Extension
EXTENSIONALITY
EXTENSIONALITY
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EXTENSIONALITY
Female
Swedish
 Variant spelling of Danish/Swedish Kaja, KAIA means "pure." Compare with another form of Kaia.
Boy/Male
Indian
Awesome
Surname or Lastname
English
English : variant of Aldous.
Boy/Male
German
Nephew
Surname or Lastname
English and Scottish
English and Scottish : patronymic from a Middle English male personal name: in most cases probably Allen, but other possibilities include a variant of Ellis or a short form of Alexander. In some instances, it may be from a female personal name, Alise or Alice (see Allis).
Girl/Female
Australian, Celtic, German, Irish, Latin
Dear-one; Friend
Girl/Female
Latin
Goddess of the threshold.
Boy/Male
Hindi
Joy from the gods.
Boy/Male
Teutonic
Friend of peace.
Girl/Female
Muslim/Islamic
Righteous
EXTENSIONALITY
EXTENSIONALITY
EXTENSIONALITY
EXTENSIONALITY
EXTENSIONALITY