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Degree to which a system's components may be separated and recombined
programs modular. The meaning of the word "modularity" can vary somewhat based on context. The following are contextual examples of modularity across several
Modularity
Relates rational elliptic curves to modular forms
In number theory, the modularity theorem states that elliptic curves over the field of rational numbers are related to modular forms in a particular way
Modularity_theorem
Measure of network community structure
with high modularity have dense connections between the nodes within modules but sparse connections between nodes in different modules. Modularity is often
Modularity_(networks)
Design approach
Modular design, or modularity in design, is a design principle that subdivides a system into smaller parts called modules (such as modular process skids)
Modular_design
Psychology concept
for the modularity of "lower level" cognitive processes in Modularity of Mind he also argued that higher-level cognitive processes are not modular since
Modularity_of_mind
Clustering and community detection algorithm
optimization of modularity as the algorithm progresses. Modularity is a scale value between −1 (non-modular clustering) and 1 (fully modular clustering) that
Louvain_method
Biological concept
evolutionary origins of biological modularity has been debated since the 1990s. In the mid 1990s, Günter Wagner argued that modularity could have arisen and been
Modularity_(biology)
Clustering and community detection algorithm
present in modularity maximization based community detection. The resolution limit problem is that, for some graphs, maximizing modularity may cause substructures
Leiden_algorithm
Analytic function on the upper half-plane with a certain behavior under the modular group
\varepsilon (a,b,c,d)(cz+d)^{k}} which are used to generalise the modularity relation defining modular forms, so that f ( a z + b c z + d ) = ε ( a , b , c , d
Modular_form
17th-century conjecture proved by Andrew Wiles in 1994
known as the modularity theorem, and opened up entire new approaches to numerous other problems and mathematically powerful modularity lifting techniques
Fermat's_Last_Theorem
Mathematical concept
elliptic curve, something that could be called an elliptic modular curve. The modularity theorem, also known as the Taniyama–Shimura conjecture, asserts
Modular_elliptic_curve
Topics referred to by the same term
module or modular in Wiktionary, the free dictionary. Module, modular and modularity may refer to the concept of modularity. They may also refer to: Modular design
Module
The Bruguières modularity theorem was introduced by mathematician Alain Bruguières in the year 2000. The first notion of modularity used in the theorem
Bruguières_modularity_theorem
Conjecture in number theory
In mathematics, Serre's modularity conjecture, introduced by Jean-Pierre Serre (1975, 1987), states that an odd, irreducible, two-dimensional Galois representation
Serre's_modularity_conjecture
Prefabricated building or house that consists of repeated sections
A modular building is a prefabricated building that consists of repeated sections called modules. Modularity involves constructing sections away from the
Modular_building
Organizing code into modules
software systems, where it was used for code reuse. Modular programming per se, with a goal of modularity, developed in the late 1960s and 1970s, as a larger-scale
Modular_programming
1995 publication in mathematics
proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
Software testing technique
Modularity-driven testing is a term used in the testing of software. The test script modularity framework requires the creation of small, independent
Modularity-driven_testing
Type of lattice in mathematical order theory
and there are various generalizations of modularity related to this notion and to semimodularity. Modular lattices are sometimes called Dedekind lattices
Modular_lattice
Algebraic variety
Manin–Drinfeld theorem Moduli stack of elliptic curves Modularity theorem Shimura variety, a generalization of modular curves to higher dimensions Serre, Jean-Pierre
Modular_curve
Design principle for computer programming
flow) or by size (modularity) Modularity is a specific application of concerns to system components (separation by size). In modular systems, each module
Separation_of_concerns
Engine family by Ford Motor Company
The Ford Modular engine is an overhead camshaft (OHC) V8 and V10 gasoline-powered small block engine family introduced by Ford Motor Company in 1990 for
Ford_Modular_engine
Configurable modularity is a term coined by Raoul de Campo of IBM Research and later expanded on by Nate Edwards of the same organization, denoting the
Configurable_modularity
Modular Method in Music, by Stefano Vagnini, English and Italian, 161 pp, Rome: Falcon Valley Music, 2002. See "Modularity in the arts" in Modularity
Modular_art
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
Modular scheduling (also known as flex scheduling, flexible modular scheduling, or modular flex scheduling) is a system of timetabling in certain high
Modular_scheduling
Orientation-preserving mapping class group of the torus
In mathematics, the modular group is the projective special linear group PSL ( 2 , Z ) {\displaystyle \operatorname {PSL} (2,\mathbb {Z} )} of 2 × 2
Modular_group
One of the first uses of the term "module" or "modularity" occurs in the influential book "Modularity of Mind" by philosopher Jerry Fodor. A detailed
Visual_modularity
Type of nuclear fission reactor
Additionally, this flexibility in a standardized SMRs design revolving around modularity could allow for a faster production at a decreasing cost following the
Small_modular_reactor
with FOIS 2010). International Workshop on Ontologies: Reasoning and Modularity Archived 2008-12-21 at the Wayback Machine (WORM-08). Tenerife, Spain
Ontology_modularization
Electrical connector commonly used in telephone and computer networks
A modular connector is a type of electrical connector for cords and cables of electronic devices and appliances, such as in computer networking, telecommunication
Modular_connector
Theory that regions of the brain are specialized for functions
expanded the initial notion of phrenology by creating his Modularity of the Mind theory. The Modularity of the Mind theory indicates that distinct neurological
Functional specialization (brain)
Functional_specialization_(brain)
Computer programming paradigm
order to enhance quality and lower development and maintenance costs. Modularity is about organizing the procedures of a program into separate modules—each
Procedural_programming
Electronic musical instrument
control pitch. He also introduced fundamental synthesizer concepts such as modularity and envelope generators. The Moog synthesizer was brought to the mainstream
Moog_synthesizer
Building construction standard for positioning
construction – Modular coordination – Principles and rules) is an international standard for the construction industry that describes the aims of modular coordination
ISO_2848
A modular aircraft or pod plane is a design principle for an aircraft where the payload carrying section can be routinely detached from, and reattached
Modular_aircraft
Analogue synthesizer
The Volca Modular is an analogue synthesizer manufactured by the Japanese music technology company Korg. It is part of their popular Volca series of affordable
Volca_Modular
Class of semi-automatic rifles
that year as a marketing term used by the firearms industry to describe modular semi-automatic rifles including AR-15s. Today, nearly every major firearm
AR-15–style_rifle
British mathematician who proved Fermat's Last Theorem
limited form of the modularity theorem (unproven at the time and then known as the "Taniyama–Shimura–Weil conjecture"). The modularity theorem involved elliptic
Andrew_Wiles
Concept in graph theory
the most widely used methods for community detection is modularity maximization. Modularity is a benefit function that measures the quality of a particular
Community_structure
Mapping function
(A)+\mu (B)} The above property is called modularity and the argument below proves that additivity implies modularity. Given A {\displaystyle A} and B , {\displaystyle
Sigma-additive_set_function
36 mathematical problems stated in 1955
conjecture (now known as the modularity theorem), which states that every elliptic curve over the rational numbers is modular. This conjecture played a major
Taniyama's_problems
Model-view framework for the Ruby programming language
notable as a precursor to Rails 3. It brought increased focus on speed and modularity to Rails 3. The name Merb is a contraction of "Mongrel" and "Erb". Merb
Merb
Totality of psychological phenomena
intellect (buddhi). A different perspective is proposed by the massive modularity hypothesis, which states that the mind is entirely composed of modules
Mind
American mathematician (1964-)
mathematician, known for his role in proving the modularity theorem for elliptic curves. His research interest is in modular forms and Galois representations. Diamond
Fred_Diamond
Core of a computer operating system
resilience and modularity. MINIX 3 is a notable example of microkernel design. Some kernels, such as the Linux kernel, are both monolithic and modular, since
Kernel_(operating_system)
American philosopher (1935–2017)
lobe. This simplistic view of modularity has been disproven in the 20th century. Fodor revived the idea of modularity, without the notion of precise
Jerry_Fodor
Unique numeric book identifier since 1970
1)\\&=0+27+0+42+24+0+24+3+10+2\\&=132=12\times 11.\end{aligned}}} Formally, using modular arithmetic, this is rendered ( 10 x 1 + 9 x 2 + 8 x 3 + 7 x 4 + 6 x 5 +
ISBN
Firearm reconfigurable for various applications
give the weapon different capabilities to adapt to various applications. Modularity can provide several advantages to military organizations, such as the
Modular_weapon_system
OS that runs entirely in kernel-mode
modules at runtime. This modularity of the operating system is at the binary (image) level and not at the architecture level. Modular monolithic operating
Monolithic_kernel
Line of synthesizers
The Nord Modular series is a line of synthesizers produced by Clavia, a Swedish digital synthesizer manufacturer. The Nord Modular series, in common with
Nord_Modular
Vehicle term
A modular vehicle is one in which substantial components of the vehicle are interchangeable. This modularity is intended to make repairs and maintenance
Modular_vehicle
American philosopher (born 1952)
deciding, and so forth) cannot be modular. In his 2006 book, Carruthers lays out the main case supporting massive modularity, shows how the notion of "module"
Peter Carruthers (philosopher)
Peter_Carruthers_(philosopher)
Electrical network switch which can use field-replaceable units
A modular switch or chassis switch is a type of network switch which can be configured using field-replaceable units. These units, often referred to as
Modular_switch
mathematics, modular symbols, introduced independently by Bryan John Birch and by Manin (1972), span a vector space closely related to a space of modular forms
Modular_symbol
Modular constructivism is a style of sculpture that emerged in the 1950s and 1960s and was associated especially with Erwin Hauer and Norman Carlberg
Modular_constructivism
Synthesizer composed of separate modules
and Discursive History of Modularity and Control Voltages)". In Teboul, Ezra; Kitzmann, Andreas; Engström, Einar (eds.). Modular Synthesis: Patching Machines
Modular_synthesizer
Motor vehicle platform
The Volkswagen Group MQB platform is the company's strategy for shared modular design construction of its transverse, front-engine, front-wheel-drive
Volkswagen_Group_MQB_platform
2010 studio album by The Pinker Tones
Modular is the fourth studio album by the Spanish electronic indie pop band The Pinker Tones. It was released in Europe on June 8, 2010,[citation needed]
Modular_(album)
Assault rifle
Zastava M19 is a Serbian modular 6.5/7.62 mm assault rifle, designed and manufactured by the Zastava Arms as the standard service rifle of the Serbian
Zastava_M19
Motor vehicle platform
the C-segment above, PSA uses the Efficient Modular Platform (EMP2). The CMP offers a high level of modularity with a choice of two track widths, three wheelbase
Common_Modular_Platform
Concept in mathematics
In mathematics, modular units are certain units of rings of integers of fields of modular functions, introduced by Kubert and Lang (1975). They are functions
Modular_unit
Linux distribution by Fedora Project
original on 19 July 2024. Retrieved 7 January 2022. "Fedora Modularity". Fedora Modularity. Archived from the original on 5 May 2018. Retrieved 3 May 2018
Fedora_Linux
Assault rifle by Lewis Machine & Tool Company
The LMT Modular Ambidextrous Rifle System (MARS) is an assault rifle designed and manufactured by Lewis Machine & Tool Company. In May 2014, a tender
LMT Modular Ambidextrous Rifle System
LMT_Modular_Ambidextrous_Rifle_System
Motor vehicle platform
platform is the company's platform strategy, announced in 2012, for shared modular construction of its longitudinal, front-engined automobiles. It was developed
Volkswagen_Group_MLB_platform
Music made by combining different compositions
which he elaborates on (with musical examples) in his personal blog. Modularity can be applied to every language of art in many different ways. Marcel
Modular_music
Plane algebraic curve
with integer coefficients. The famous modularity theorem tells us that all elliptic curves over Q are modular. Mappings also arise in connection with
Classical_modular_curve
Software design pattern
wholesale replacement. Modularity is achieved to various extents by different modular programming approaches. Code-based modularity allows developers to
Monolithic_application
Construction technique
Modular construction is a construction technique which involves the prefabrication of 2D panels or 3D volumetric structures in off-site factories and
Modular_construction
The modular ammunition platoon is a US Army modular sustainment unit responsible for providing munitions support from all echelons of battle minus within
Modular_ammunition_platoon
Exponentation in modular arithmetic
Modular exponentiation is exponentiation performed over a modulus. It is useful in computer science, especially in the field of public-key cryptography
Modular_exponentiation
Series of Lego sets that resemble real life buildings
design, thus promoting the design-it-yourself vision of Lego Factory. The modularity of the resulting model may also inspire people to design their own floor
Lego_Modular_Buildings
Polish modular assault rifle and variants
which has been adapted to fire blanks and withstand drills. With the modularity of the MSBS Grot, the barrel can be swapped to fire live ammunition. The
FB_MSBS_Grot
American economist
technology and innovation. Her book on modularity in complex technological systems, Design Rules: The power of Modularity, published in 2000 and co-written
Carliss_Y._Baldwin
Series of computers by Apple
The Mac Pro is a discontinued series of workstation computer and servers made by Apple from 2006 to 2026. The Mac Pro served as the high-end personal computer
Mac_Pro
Motor vehicle platform
The EMP2 (Efficient Modular Platform) is a modular car platform which is jointly developed and used by French car manufacturer PSA Group (merged into Stellantis
EMP2_platform
Concept in aspect-oriented software development
resulting in a loss of modularity. Aspect-oriented programming aims to encapsulate cross-cutting concerns into aspects to retain modularity. This allows for
Cross-cutting_concern
Modular electric car platform
Volkswagen Group MEB platform (German: Modularer E-Antriebs Baukasten, 'modular electric-drive toolkit') is a modular car platform for electric cars developed
Volkswagen_Group_MEB_platform
Family of network operating systems by Cisco
Linux. Part of the initial work focused on modularity inspired modification of monolithic IOS into modular IOS, which extends the microkernel architecture
Cisco_IOS
American assault rifle
90 modifications to improve the weapon's adaptability, ergonomics and modularity, including the M4A1 variant, which possesses a thicker barrel and a replacement
M4_carbine
Branch of psychology
detoxify poisons, and the kidneys evolved to filter turbid fluids, there is modularity of mind, in that different psychological mechanisms evolved to solve distinct
Evolutionary_psychology
Collection of loosely coupled services used to build computer applications
teams to develop, deploy, and scale services independently, improving modularity, scalability, and adaptability. However, it introduces additional complexity
Microservices
Assault rifle
incorporating several key features that enhance its performance, ergonomics, and modularity. Indonesia: Indonesian Armed Forces Pindad. "Pindad Melaksanakan Demo
Pindad_AM1
Living things grouping together, usually for common benefit
Simpson, Carl; Tiozzo, Stefano (2020-04-19). "Coloniality, clonality, and modularity in animals: The elephant in the room" (PDF). Journal of Experimental Zoology
Colony_(biology)
Smartphone made of replaceable parts
costly to repair (specifically the display, battery, or back cover). Modularity in smartphones promotes self-repair over repair services by enabling consumers
Modular_smartphone
American mathematician
the modularity of elliptic curves over Q - Proof of Taniyama-Shimura coauthored by Conrad. Brian Conrad, Fred Diamond, Richard Taylor: Modularity of certain
Brian_Conrad
Complex-differentiable part of a Maass wave function
mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight
Mock_modular_form
Load-bearing equipment and backpacks used by the United States Army
military for any equipment generally using PALS-type webbing. The system's modularity results from the PALS allowing for the attachment of various compatible
MOLLE
Space primarily used for preparation and storage of food
refrigerator, and worktops and kitchen cabinets arranged according to a modular design. Many households have a microwave oven, a dishwasher, and other
Kitchen
First modular utility-scaled quantum computer system
three IBM Quantum Heron processors, which can be scaled up due to its modularity, and later upgraded for newer quantum processing units, as it is upgradeable
IBM_Q_System_Two
a Picard modular surface, studied by Picard (1881), is a complex surface constructed as a quotient of the unit ball in C2 by a Picard modular group. Picard
Picard_modular_surface
Finnish wheeled armoured personnel carrier
The Patria AMV (Armoured Modular Vehicle) is an 8×8 multi-role military vehicle produced by the Finnish defence industry company Patria. The main feature
Patria_AMV
Algebraic surface in mathematics
In mathematics, a Hilbert modular surface or Hilbert–Blumenthal surface is an algebraic surface obtained by taking a quotient of a product of two copies
Hilbert_modular_variety
General-purpose programming language
Python was designed to be highly extensible through modules. This compact modularity has made it particularly popular as a means of adding programmable interfaces
Python_(programming_language)
Proprietary language for AI accelerators
postponed indefinitely by March 2026. Modular intends to open-source Mojo in the fall of 2026. In May 2026, Modular released the first beta of Mojo 1.0
Mojo_(programming_language)
Free Unix-like operating system kernel
logic such as optimizing memory use and task execution. The kernel has a modular design such that modules can be integrated as software components – including
Linux_kernel
Topics referred to by the same term
Modular redundancy may refer to: Dual modular redundancy, in reliability engineering where system components are duplicated Triple modular redundancy,
Modular_redundancy
Modular handheld computer
easily adapted and modified, following the concepts of open-design and modularity. The uConsole was announced in October 2022, and began shipping in July
UConsole
Teichmüller modular form is an analogue of a Siegel modular form on Teichmüller space. Ichikawa, Takashi (1994), "On Teichmüller modular forms", Mathematische
Teichmüller_modular_form
Grand total of aircraft The Army also operates several vessel classes. The Modular Sleep System (MSS) is a sleeping bag kit part of the Extended Cold Weather
List of equipment of the United States Army
List_of_equipment_of_the_United_States_Army
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