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Field extension generated by a one element
theory, a 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
Construction of a larger algebraic field by "adding elements" to a smaller field
the extension K ( s ) / K {\displaystyle K(s)/K} is called a simple extension and s {\displaystyle s} is called a primitive element of the extension. An
Field_extension
Type of complex number
a and b are algebraic. For any α {\displaystyle \alpha } , the simple extension of the rationals by α {\displaystyle \alpha } , denoted by Q ( α
Algebraic_number
Mathematical field obtained by adjunction of nth roots
an nth root of an element from the previous field. A simple radical extension is a simple extension F/K generated by a single element α {\displaystyle \alpha
Radical_extension
2021 survival video game
11, 2021. Retrieved May 14, 2021. "Test Subnautica : Below Zero - Simple extension ou vrai nouvel épisode ?". Jeuxvideo.com. May 11, 2021. Retrieved May
Subnautica:_Below_Zero
Group for which a given group is a normal subgroup
motivation for completing the classification of finite simple groups. An extension is called a central extension if the subgroup N {\displaystyle N} lies in the
Group_extension
Standard for geographical data
Simple Features (officially Simple Feature Access) is a set of standards that specify a common storage and access model of geographic features made of
Simple_Features
In the semantic web, Simple HTML Ontology Extensions are a small set of HTML extensions designed to give web pages semantic meaning by allowing information
Simple HTML Ontology Extensions
Simple_HTML_Ontology_Extensions
Internet protocol used for relaying e-mails
defined Extended Simple Mail Transfer Protocol (ESMTP), which established a general structure for all existing and future extensions which aimed to add-in
Simple_Mail_Transfer_Protocol
Occult concept
in its psychic as well as its corporeal aspects, is nothing but a simple extension of the individual, and thus has absolutely nothing transcendent with
Egregore
Optimization algorithm
becoming increasingly well-studied and used in the following decades. A simple extension of gradient descent, stochastic gradient descent, serves as the most
Gradient_descent
Field theory theorem
primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies in particular
Primitive_element_theorem
Function that attains finitely many values
integral of simple functions can be extended to a more general class of functions, which is how the Lebesgue integral is defined. This extension is based
Simple_function
Two-dimensional Turing machine with emergent behavior
a simple extension to Langton's ant where instead of just two colors, more colors are used. The colors are modified in a cyclic fashion. A simple naming
Langton's_ant
Type of module over a ring
simple modules, which form the base case of the induction, and then the statement is proved to remain true under an extension of a module by a simple
Simple_module
Scottish rock band
Simple Minds are a Scottish rock band formed in Glasgow in 1977. The band is currently a core duo of original members Jim Kerr (vocals) and Charlie Burchill
Simple_Minds
Extension of Internet protocol
SMTP Authentication, often abbreviated SMTP AUTH, is an extension of the Simple Mail Transfer Protocol (SMTP) whereby a client may log in using any authentication
SMTP_Authentication
Fast-growing function
a simple subcubic graph (SSCG) is a finite simple graph in which each vertex has a degree of at most three. Suppose we have a sequence of simple subcubic
Friedman's_SSCG_function
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
Philosophical concept
space-time extension of 0) or atomless gunk. Some philosophers seem to have held that the whole universe is one enormous extended simple. According to
Simple_(philosophy)
List of Firefox extensions
Mozilla-recommended browser extensions on the Firefox Add-ons store (as of April 20, 2026). Official add-ons site for Mozilla products Recommended Extensions program
List of recommended Mozilla WebExtensions
List_of_recommended_Mozilla_WebExtensions
Spreadsheet editor by Microsoft
Excel 2002 is a simple, XML based format missing some more advanced features like storage of VBA macros. Though the intended file extension for this format
Microsoft_Excel
Sequence of characters that forms a search pattern
Prior to the use of regular expressions, many search languages allowed simple wildcards, for example "*" to match any sequence of characters, and "?"
Regular_expression
Type of simple executable file
type of simple executable file. On the Digital Equipment Corporation (DEC) VAX operating systems of the 1970s, .COM was used as a filename extension for text
COM_file
Spectrum) – Extension to Sinclair BASIC; started out as a simple toolkit but grew into a full interpreter Lightning BASIC (Amstrad PCW) – Extension to Mallard
BASIC_extension
Specification for metadata in web pages
assign values to its properties. Microdata is an attempt to provide a simpler way of annotating HTML elements with machine-readable tags than the similar
Microdata_(HTML)
American media personality (born 1981)
"New York's leading It Girl" in 2001. The reality television series The Simple Life (2003–2007), in which she co-starred with her friend Nicole Richie
Paris_Hilton
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
HTTP extension supporting TLS encryption
Hypertext Transfer Protocol Secure (HTTPS) is an extension of the Hypertext Transfer Protocol (HTTP). It uses encryption for secure communication over
HTTPS
Bitmap image file format family
officially rejected APNG as an official extension on 20 April 2007. There have been several subsequent proposals for a simple animated graphics format based on
GIF
Extension that allows windows to be given arbitrary, non-rectangular shapes
Window Shape Extension allows windows to be given arbitrary, non-rectangular shapes. Two well-known applets that use the shape extension are oclock, which
Shape_extension
Field theory is the branch of algebra that studies fields
a simple extension. Splitting field A field extension generated by the complete factorisation of a polynomial. Normal extension A field extension generated
Glossary_of_field_theory
File format for storing file checksums
Simple file verification (SFV) is a file format for storing CRC-32 checksums of files to verify the integrity of files. SFV is used to verify that a file
Simple_file_verification
Programming language for automation scripts
In computing, a script is a relatively short and simple set of instructions that typically automate an otherwise manual process. The act of writing a script
Scripting_language
Type of algebraic field extension
E[X]} . This is a simple algebraic extension of degree p, as E = F [ x ] {\displaystyle E=F[x]} , but it is not a normal extension since the Galois group
Separable_extension
Control loop feedback mechanism
modulating devices such as diaphragm-operated control valves. They were simple low maintenance devices that operated well in harsh industrial environments
PID_controller
Directional planes
leveled) if it is perpendicular to the vertical at a given point. By extension, the concept applies to finite objects contained by a line or a plane
Vertical_and_horizontal
Part of a flower
stigma may vary considerably: Stigma shapes The style is a narrow upward extension of the ovary, connecting it to the stigmatic papillae. Occasionally, it
Stigma_(botany)
Geometry definition file format
polygons of a geometric object. It can store 2D or 3D objects, and simple extensions allow it to represent higher-dimensional objects as well. Though originally
OFF_(file_format)
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
General-purpose programming language
risky by use of instruction set architecture extensions such as CHERI or Permission Overlay Extensions. These techniques change the fundamental nature
C_(programming_language)
Arithmetic operation
\uparrow (n-1)}&{\text{if }}n>0.\end{cases}}} This form allows for the extension of tetration to more general domains than the natural numbers such as
Tetration
Theorem on extension of bounded linear functionals
analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace of some vector
Hahn–Banach_theorem
Identification for a good or service
brands or simple thumbprints used in pottery should be termed proto-brands while other historians argue that the presence of these simple markings does
Brand
Database of data representing objects in geometric space
language and multimedia standard extending the Simple Features. The core functionality added by a spatial extension to a database is one or more spatial datatypes
Spatial_database
plaintext, with encryption eventually provided years later by the STARTTLS extension. At the same time, the subsequent adoption of the usage of 465 as an SSL-enabled
List of TCP and UDP port numbers
List_of_TCP_and_UDP_port_numbers
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
File format used to present documents
by Adobe, such as Adobe XML Forms Architecture (XFA) and a JavaScript extension for Acrobat, which are referenced by ISO 32000-1 as normative and indispensable
Standard protocol for transferring files over TCP/IP networks
Firewall-Friendly FTP (passive mode), RFC 2228 (June 1997) proposes security extensions, RFC 2428 (September 1998) adds support for IPv6 and defines a new type
File_Transfer_Protocol
Markup language for documents
language HTML was developed as a simple non-proprietary delivery format for global hypertext. HTML+ is a set of modular extensions to HTML and has been developed
HTML
Open-source CPU instruction set architecture
and is a simple enough ISA to enable software to control research machines. The variable-length ISA provides room for instruction set extensions for both
RISC-V
Ratio of how much light is reflected back from a body
1016/j.icarus.2010.01.017. Perkins, Sid (17 December 2019). "Albedo is a simple concept that plays complicated roles in climate and astronomy". Proceedings
Albedo
Thermodynamic equation
coefficients.) To overcome the limits of the Antoine equation, some simple extension by additional terms are used:[citation needed] P = exp ( A + B C
Antoine_equation
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
Scripting language created in 1994
Microsystems. Retrieved 2008-02-25. "Five simple ways to tune your LAMP application". IBM. 2011-01-25. "PHP at the core: Extension structure". PHP.net. Archived from
PHP
Sling used for swinging, sleeping or resting
The hammock is often seen as a symbol of summer, leisure, relaxation and simple, easy living. The word hammock comes, via Spanish, from a Taíno Arawakan
Hammock
German digestif
brand extension. The drinks come in two flavours, "raw" and "ginger lime". From 2013 to 2016, Jägermeister launched a seasonal line extension called
Jägermeister
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
Cross-platform graphics API
(GPU) vendors may provide additional functionality in the form of extensions. Extensions may introduce new functions and new constants, and may relax or
OpenGL
Canadian rock band Simple Plan, formed in 1999, has released six studio albums, two live albums, one video album, three extended plays and twenty singles
Simple_Plan_discography
Canadian rock band
Simple Plan is a Canadian rock band formed in Montreal, Quebec, in 1999. The band's current lineup consists of Pierre Bouvier (lead vocals, studio bass
Simple_Plan
TCP/IP application layer protocol
devices. One attempt is The Overbite Project, which hosts various browser extensions and modern clients. As of 2012[update], there remained about 160 gopher
Gopher_(protocol)
Use of an established product brand name for a new item in the same product category
A product line extension is the use of an established product brand name for a new item in the same product category. Line extensions occur when a company
Product_line_extension
Genus of plants
inflorescence consists of large colorful sepal-like bracts which surround three simple waxy flowers, gaining popularity for the plant as an ornamental. The plant
Bougainvillea
Extension of the factorial function
{\displaystyle \Gamma } , capital Greek letter gamma) is the most common extension of the factorial function to complex numbers. First studied by Daniel
Gamma_function
Fretted string instrument
fretboard, tuners, headstock, and truss rod, all attached to a long wooden extension, collectively constitute its neck. The wood used to make the fretboard
Guitar
Method of deriving conclusions
example and in later formulas are so-called metavariables: they stand for any simple or compound proposition. Any argument following modus ponens is valid, independent
Rule_of_inference
Common mistake of perception
with a variety of stimuli. For example, boundary extension happens with simple and complex photos, simple and complex objects, line-drawings, and photos
Boundary_extension
Word processor
formats are denoted either by a .doc or .docx filename extension. Although the .doc extension has been used in many different versions of Word, it actually
Microsoft_Word
Japonic language
proliferated. Japanese is an agglutinative, mora-timed language with relatively simple phonotactics, a pure vowel system, phonemic vowel and consonant length,
Japanese_language
Electronic moving image
progressive scan device, the overall spatial resolution is degraded by simple line doubling—artifacts, such as flickering or comb effects in moving parts
Video
Cryptographic protocols for securing data in transit
Security (TLS) Extensions allow clients to include a Server Name Indication extension (SNI) in the extended ClientHello message. This extension hints to the
Transport_Layer_Security
Species of plant
summer, depending on the temperature in the area. The leaves are alternate, simple, 10–25 centimetres (4–10 inches) long, dark green, tough and leathery in
Loquat
Rapid transit system in England
Northern Line Extension opened in September 2021, extending the Northern line from Kennington to Battersea Power Station via Nine Elms. The extension was privately
London_Underground
Free and open-source wiki software
introduced, finally leading to a framework that allowed the simple writing of extension functions to add arbitrary functionalities, like e.g. geo-coding
MediaWiki
System to specify locations on Earth
an astronomical coordinate system, the second point is found where the extension of the plumb bob vertical from the surface point intersects the equatorial
Geographic_coordinate_system
Specification of beats in a musical bar/measure
a barline, indicates a change of meter. Most time signatures are either simple (the note values are grouped in pairs, like 2 4, 3 4, and 4 4), or compound
Time_signature
Method used for display options on video text terminals
with extensions that are not necessarily meaningful to computer terminals. Both systems quickly fell into disuse, but ECMA-48 does mark the extensions used
ANSI_escape_code
Mathematical connection between field theory and group theory
studying the extension Q(A,B,C,D)/Q. There are several advantages to the modern approach over the permutation group approach. It permits a far simpler statement
Galois_theory
Computer system that receives and forwards requests
by using the SubjectAltName feature of X.509 certificates or the SNI extension of TLS. Load balancing: the reverse proxy can distribute the load to several
Proxy_server
City in County Cork, Munster, Ireland
authority housing resulted in a small boundary extension of 857 acres taking effect on 1 April 1955. A larger extension of 6,520 acres took effect on 1 July 1965
Cork_(city)
provides core content management and integrates with many other tools via extensions Nextcloud, file hosting service, functionally similar to Dropbox, Office
List of collaborative software
List_of_collaborative_software
Sporadic simple group
following simple groups have Sylow 2-subgroups of Alperin type: For the Chevalley group G2(q), if q is congruent to 3 or 5 mod 8, n = 1 and the extension does
O'Nan_group
Method of referencing visual computer data
Internet shortcut file, also known as the URL file format, has the file extension .url (possibly hidden by default in the graphical user interface), and
Hyperlink
Version 6 of the Internet Protocol
extension headers. The packet header in IPv6 is simpler than the IPv4 header. Many rarely used fields have been moved to optional header extensions.
IPv6
Short-range wireless technology standard
transferring 2 and 3 Mbit/s respectively. In 2019, Apple published an extension called HDR which supports data rates of 4 (HDR4) and 8 (HDR8) Mbit/s using
Bluetooth
Sequence of operations for a task
properties, not implementation. Pseudocode is typical for analysis as it is a simple and general representation. Most algorithms are implemented on particular
Algorithm
Framework for authentication and data security in Internet protocols
Simple Authentication and Security Layer (SASL) is a framework for authentication and data security in Internet protocols. It decouples authentication
Simple Authentication and Security Layer
Simple_Authentication_and_Security_Layer
GNU replacement for the Bourne shell
string in single parentheses. $ echo foo; ( echo foo ) foo foo $ For this simple case, the preceding two commands are equivalent, however, use of subshells
Bash_(Unix_shell)
Collection of hash functions
implementers of hash tables and Bloom filters". They study lookup2 and a simple extension of it that produces 96-bit rather than 32-bit hash values. The Netfilter
Jenkins_hash_function
General knowledge encyclopaedia
Kelly, Makena (7 June 2018). "Encyclopædia Britannica's new Chrome extension is a simple fix to Google misinformation". The Verge. Archived from the original
Encyclopædia_Britannica
Japanese style of consensual rope bondage
Japanese style of bondage or BDSM which involves tying a person up using simple yet visually intricate patterns, usually with several pieces of thin rope
Japanese_bondage
Dimension of the extension field viewed as a vector space over the base field
which is in turn a subfield of M, there is a simple relation between the degrees of the three extensions L/K, M/L and M/K: [ M : K ] = [ M : L ] ⋅ [ L
Degree_of_a_field_extension
Vocalization by cats
meowing to human beings is generally considered a post-domestication extension of meowing by kittens: a call for attention. Pre-domesticated felines
Meow
Computer markup language
Autodesk Geometry Format An extension to OGC's Standard (at the time), to include curved elements; most notably used in MapGuide. Simple Features Geography Markup
Well-known text representation of geometry
Well-known_text_representation_of_geometry
Plant propagation technique
Layering, Department of Horticulture, Purdue University Cooperative Extension Simple Layering of an Indoor Plant Part 1, Missouri Botanical Garden (In depth
Layering_(horticulture)
Urban rail transit system serving Los Angeles County, California
extended significantly since it started service in 1990, and several further extensions are either in the works or being considered. In 2025, the system had a
Los_Angeles_Metro_Rail
eye. In contrast to compound eyes, simple eyes have a single lens. Jumping spiders have one pair of large simple eyes with a narrow field of view, augmented
Eye
Semi-automatic pistol
When the safety is disengaged, the trigger will return to full forward extension to allow a double-action first trigger pull. The P-83 also has a hammer
FB_P-83_Wanad
Geometry definition file format
other 3D computer graphics application vendors. The OBJ file format is a simple data-format that represents 3D geometry alone – namely, the position of
Wavefront_.obj_file
SIMPLE EXTENSION
SIMPLE EXTENSION
Female
French
 Feminine form of French Simon, SIMONE means "hearkening." Compare with other forms of Simone.
Girl/Female
Hindu, Indian, Kannada
Loved One
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of various places in Normandy called Saint-Paul or Saint-Pol, from the dedication of their churches to St. Paul (see Paul).
Female
Icelandic
 Feminine form of Icelandic SÃmon, SIMONE means "hearkening." Compare with other forms of Simone.
Surname or Lastname
English (Kent)
English (Kent) : origin uncertain; perhaps a variant of the habitational name Wimbley, or a variant of Wimple, a metonymic occupational name for a maker of wimples, from Middle English wimple (Old English wimpel ‘veil’).
Girl/Female
Indian
A small indication one that forms in the cheeks when one smiles
Boy/Male
Shakespearean
The Merry Wives of Windsor' Servant to Slender.
Girl/Female
Indian
Beauty
Girl/Female
American, Assamese, British, Celebrity, English, Gujarati, Hindu, Indian, Kannada, Malayalam, Sindhi, Telugu
A Small; Natural Hollow on the Surface of the Body; Happy; Dimples
Boy/Male
Hindu, Indian
Soft; Gentle Spirit with a Profound Spiritual Nature
Boy/Male
Australian, British, English
From the Temple Settlement
Surname or Lastname
English
English : from Middle English stapel ‘post’, hence a topographic name for someone who lived near a boundary post, or a habitational name from some place named with this word (Old English stapel), as for example Staple in Kent or Staple Fitzpaine in Somerset.Americanized spelling of German Stapel.
Boy/Male
English
Temple-town. This surname refers to medieval priories and settlements of the military religious...
Boy/Male
Indian
Chick Style
Female
Finnish
 Feminine form of Finnish Simo, SIMONE means "hearkening." Compare with another form of Simone.
Female
Scandinavian
 Scandinavian feminine form of Greek Symeon, SIMONE means "hearkening." Compare with other forms of Simone.
Male
Italian
Italian form of Hebrew Shimown, SIMONE means "hearkening."
Surname or Lastname
English (mainly Nottinghamshire)
English (mainly Nottinghamshire) : unexplained; probably a variant of Sample.
Girl/Female
Indian, Telugu
Simple Looking; Good Smile
Surname or Lastname
English
English : variant spelling of Kimball.English : habitational name from Great or Little Kimble in Buckinghamshire, named in Old English as ‘the royal bell’ (cynebelle), referring to the shape of a local hill.Americanized spelling of German Gimbel (see Gimble) or Kimbel.
SIMPLE EXTENSION
SIMPLE EXTENSION
Girl/Female
Spanish
Hope.
Male
Hebrew
(×וּדִי) Pet form of Hebrew Ehuwd, UDI means "joining together, united."
Girl/Female
French, Greek, Indian, Latin
Reborn Hearted Princess
Boy/Male
Tamil
The ceremony of worshiping
Boy/Male
Australian, Polish
Consoling the Host
Girl/Female
Gujarati, Hindu, Indian, Kannada, Sanskrit
Creator
Boy/Male
Tamil
Institution
Boy/Male
Tamil
Sarvadaman | ஸரà¯à®µà®¤à®¾à®®à®¨
(Son of Shakuntala Bharat)
Boy/Male
Hindu
Chanting of hymns, Mantras in low tone
Girl/Female
Sikh
Get victory, Hero of fame, Famous personality
SIMPLE EXTENSION
SIMPLE EXTENSION
SIMPLE EXTENSION
SIMPLE EXTENSION
SIMPLE EXTENSION
a.
Simple; not wise; weak; silly.
a.
A medicinal plant; -- so called because each vegetable was supposed to possess its particular virtue, and therefore to constitute a simple remedy.
v. t.
To cause to appear as if laid in folds or plaits; to cause to ripple or undulate; as, the wind wimples the surface of water.
v. t. & i.
To rumple; to wrinkle.
a.
Direct; clear; intelligible; not abstruse or enigmatical; as, a simple statement; simple language.
a.
Plain; unadorned; as, simple dress.
a.
Without subdivisions; entire; as, a simple stem; a simple leaf.
v. t.
To take or to test a sample or samples of; as, to sample sugar, teas, wools, cloths.
imp. & p. p.
of Rimple
a.
Single; not complex; not infolded or entangled; uncombined; not compounded; not blended with something else; not complicated; as, a simple substance; a simple idea; a simple sound; a simple machine; a simple problem; simple tasks.
a.
Consisting of a single individual or zooid; as, a simple ascidian; -- opposed to compound.
pl.
of Simile
v. i.
To gather simples, or medicinal plants.
a.
Not capable of being decomposed into anything more simple or ultimate by any means at present known; elementary; thus, atoms are regarded as simple bodies. Cf. Ultimate, a.
a.
Not luxurious; without much variety; plain; as, a simple diet; a simple way of living.
a.
Full of dimples, or small depressions; dimpled; as, the dimply pool.
imp. & p. p.
of Dimple
n.
Fig.: A swelling or protuberance like a pimple.
n.
One who makes up samples for inspection; one who examines samples, or by samples; as, a wool sampler.
a.
Artless; guileless; simple-hearted; undesigning; unsuspecting; devoid of duplicity.