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In category theory, a branch of mathematics, a rigid category is a monoidal category where every object is rigid, that is, has a dual X* (the internal
Rigid_category
Airship in which the envelope is supported by a framework
A rigid airship is a type of airship (or dirigible) in which the envelope is supported by an internal framework rather than by being kept in shape by
Rigid_airship
Physical object which does not deform when forces or moments are exerted on it
In classical mechanics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible, when a deforming pressure
Rigid_body
Boat with rigid hull and inflatable tubes
A rigid inflatable boat (RIB), also rigid-hull inflatable boat or rigid-hulled inflatable boat (RHIB), is a lightweight but high-performance and high-capacity
Rigid_inflatable_boat
Special kind of category with "dual objects"
general case, a compact closed category is both left and right-rigid, and biclosed. Non-symmetric compact closed categories find applications in linguistics
Compact_closed_category
Study of the effects of forces on undeformable bodies
In classical mechanics, rigid body dynamics studies the movement of systems of interconnected bodies under the action of external forces. Along with statics
Rigid_body_dynamics
Non-rigid airship
commonly called a non-rigid airship, is an airship (dirigible) without an internal structural framework or a keel. Unlike semi-rigid and rigid airships (e.g.
Blimp
Type of monoidal category
phases of matter. Mathematically, a modular tensor category is a rigid, semisimple, braided fusion category with a non-degenerate braiding, ensuring a well-defined
Modular_tensor_category
finiteness or compactness property. A category in which each object has a dual is called autonomous or rigid. The category of finite-dimensional vector spaces
Dual_object
Mathematical framework for natural language processing
mathematical structure: they both form a rigid category (also known as a non-symmetric compact closed category). As such, they both benefit from a graphical
DisCoCat
Category admitting tensor products
finite-dimensional vector spaces. Autonomous categories (or compact closed categories or rigid categories) are monoidal categories in which duals with nice properties
Monoidal_category
Analogue of a complex analytic space over a nonarchimedean field
he showed that the category of quasi-compact quasi-separated rigid spaces over k is equivalent to the localization of the category of quasi-compact admissible
Rigid_analytic_space
Series of craft made by RTK Marine
The Rigid Raider (RRC) is a series of fast raiding and assault craft made by RTK Marine, a subsidiary of Halmatic, part of BAE Systems Surface Ships.
Rigid_Raider
Quasilinear first-order ordinary differential equation
first-order ordinary differential equation describing the rotation of a rigid body, using a rotating reference frame with angular velocity ω whose axes
Euler's equations (rigid body dynamics)
Euler's_equations_(rigid_body_dynamics)
right inverse. rig A rig category is a category with two monoidal structures, one distributing over the other. rigid A rigid category. Schur A Schur functor
Glossary_of_category_theory
Mathematical category
In mathematics, a fusion category is a category that is abelian, k {\displaystyle k} -linear, semisimple, monoidal, and rigid, and has only finitely many
Fusion_category
2024 Hindi-Kurukh film
international clients. Soon she starts noticing a troubling gap between the rigid categories demanded by the AI system and the ecological wisdom of her own community
Humans_in_the_Loop_(film)
Common synthetic polymer
of PVC are produced each year. PVC comes in rigid (sometimes abbreviated as RPVC) and flexible forms. Rigid PVC is used in construction for pipes, doors
Polyvinyl_chloride
American writer and activist (1924–1987)
acutely in this stage in his career, Baldwin wanted to escape the rigid categories of protest literature and he viewed adopting a white point-of-view
James_Baldwin
Position of something in relation to its surroundings
attitude, bearing or angular position of an object – such as a line, plane or rigid body – is the rotation needed to move the object from a reference placement
Orientation_(geometry)
Rigid airship type
a type of rigid airship named after the German inventor Ferdinand von Zeppelin (German pronunciation: [ˈt͡sɛpəliːn] ) who pioneered rigid airship development
Zeppelin
Computer system emulating human expert
while these categories provide an intuitive framework to describe the space of expert systems applications, they are not rigid categories, and in some
Expert_system
United States naval airship
USS Los Angeles was a rigid airship, designated ZR-3, which was built in 1923–1924 by the Zeppelin company in Friedrichshafen, Germany, as war reparations
USS_Los_Angeles_(ZR-3)
Rigid body equations in classical mechanics
dynamics of a rigid body. Traditionally the Newton–Euler equations is the grouping together of Euler's two laws of motion for a rigid body into a single
Newton–Euler_equations
Ancient philosophy
autonomous" individual will, and at the same time a universe that is "a rigidly deterministic single whole". For the Stoic Chrysippus, the passions are
Stoicism
Clause of European Union competition law
abuses may be considered separately, this does not mean there is a rigid category that abuse falls into. Whish and Bailey point out, that "the same behaviour
Article 102 of the Treaty on the Functioning of the European Union
Article_102_of_the_Treaty_on_the_Functioning_of_the_European_Union
Graphical representation of a morphism
as A monoidal category where every object has a left and right adjoint is called a rigid category. String diagrams for rigid categories can be defined
String_diagram
Disorder involving pauses in breathing during sleep
rare, accounting for only 3.8% of all diagnosed CSA cases. Instead of rigid categories, modern sleep medicine now views sleep apnea as a dynamic spectrum
Sleep_apnea
Type of bridge
A rigid-frame bridge is a bridge in which the superstructure and substructure are rigidly connected to act as a continuous unit. Typically, the structure
Rigid-frame_bridge
Optical instrument
visual inspection of narrow, difficult-to-reach cavities, consisting of a rigid or flexible tube with an eyepiece or display on one end, an objective lens
Borescope
Monoidal category
to the category of (finite-dimensional) representations of G {\displaystyle {\mathcal {G}}} . Let K be a field and C a K-linear abelian rigid tensor (i
Tannakian_formalism
Species of flowering plant
Chorizanthe rigida, with the common names of devil's spineflower, rigid spineflower, spiny-herb, rigid spiny-herb, is an annual plant in the family Polygonaceae
Chorizanthe_rigida
Airship fleet used for promotional purposes
sports events for television. The term blimp itself is defined as a non-rigid airship—without any internal structure, the pressure of lifting gas within
Goodyear_Blimp
British educator and reformer
and systematic, separating children and their learning into three rigid categories, Grammar, Dialectic, and Rhetoric. Charlotte Mason believed that all
Charlotte_Mason
Topics referred to by the same term
part of a ship's rigging Top (tool), tool for rope manufacture Hardtop, rigid form of automobile roof Softtop, convertible automobile top made out of
Top
United States Navy rigid airship destroyed in 1925
USS Shenandoah was the first of four United States Navy rigid airships. It was constructed during 1922–1923 at Lakehurst Naval Air Station, and first
USS_Shenandoah_(ZR-1)
Object in category theory
braided monoidal category is a ribbon category if it is rigid, and it may preserve quantum trace and co-quantum trace. Ribbon categories are particularly
Braided_monoidal_category
American singer-songwriter (1949–2025)
blues." Another music journalist noted "If you define 'blues' by the rigid categories of structure rather than the flexible language of feeling allusion
Joe_Louis_Walker
Social construct of race; different understandings of race in society
people into different races. Race is often culturally understood to be rigid categories (Black, White, Pasifika, Asian, etc) in which people can be classified
Race_and_society
One or more words used to refer to something
identification by an external observer. A name can identify a class or category of things, or a single thing, either uniquely, or within a given context
Name
Ammunition type designed to penetrate armour
armour-piercing cap. This lowers the initial shock of impact to prevent the rigid projectile from shattering, as well as aiding the contact between the target
Armour-piercing_ammunition
Loom component that acts as a weft passage
general, and catch on the other heddles. Two types of rigid heddle How a rigid heddle works. Rigid heddle made of cane, in a single-heddle loom weaving
Heddle
Case or other packaging used to protect optical discs
discs, DVDs, and other formats of optical discs. Most packaging is rigid or semi-rigid and designed to protect the media from scratches and other types
Optical_disc_packaging
Commercial classifications of trucks
trailer of 750 kg remains. (This often referred to as a "Rigid Heavy Goods Vehicle" or "Rigid truck" licence) Class C1E allows for a class B or C1 vehicle
Truck_classification
Direction and rate of rotation
velocity. A rigid body rotating about a fixed axis has each point of the body having the same orbital angular velocity. Hence such a rigid body can be
Angular_velocity
Scalar measure of the rotational inertia with respect to a fixed axis of rotation
inertia) is a measure of how difficult it is to change the rotation rate of a rigid body about a given axis. It is the ratio between the torque applied and
Moment_of_inertia
1962 experimental helicopter series by Lockheed
single-engine experimental helicopter designed by Lockheed Aircraft, utilizing a rigid rotor and retractable skid landing gear. The XH-51 was selected as the test
Lockheed_XH-51
American songwriter (born 1952)
quote: " One music journalist noted "If you define 'blues' by the rigid categories of structure rather than the flexible language of feeling allusion
Larry_Garner
Ways to represent 3D rotations
placement in space. According to Euler's rotation theorem, the rotation of a rigid body (or three-dimensional coordinate system with a fixed origin) is described
Rotation formulations in three dimensions
Rotation_formulations_in_three_dimensions
Electrical cable with concentric conductors
coaxial cable. Rigid line is a coaxial line formed by two copper tubes maintained concentric every other metre using PTFE-supports. Rigid lines cannot be
Coaxial_cable
Models used to describe the behavior of metal alloys
The Rigid-Band Model (or RBM) is one of the models used to describe the behavior of metal alloys. In some cases the model is even used for non-metal alloys
Rigid-band_model
Psychological theory
through its dynamic and continuous processes replace absolute and rigid categories. Galilean physics also posits the existence of universal laws that
Field_theory_(psychology)
Medical examination of the large intestine from the rectum to the sigmoid colon
flexible sigmoidoscopy, which uses a flexible endoscope, and rigid sigmoidoscopy, which uses a rigid device. Flexible sigmoidoscopy is generally the preferred
Sigmoidoscopy
Generalisations of Serre duality in mathematics
M\otimes _{k}^{L}M)} in the derived category over A {\displaystyle A} . Assuming A {\displaystyle A} is noetherian, a rigid dualizing complex over A {\displaystyle
Coherent_duality
Species of moth
Papaipema rigida, the rigid sunflower borer, is a species of cutworm or dart moth in the family Noctuidae. It is found in North America. The MONA or Hodges
Papaipema_rigida
}}C_{2}\otimes C_{1}.} A braided monoidal category is called a ribbon category if the category is left rigid and has a family of twists. The former means
Ribbon_category
Study of forces and their effect on motion
principle of dynamics is linked to Newton's second law. In classical mechanics, rigid body dynamics studies the movement of systems of interconnected bodies under
Dynamics_(mechanics)
the Air Battalion Royal Engineers, acquired a small fleet of semi-rigid and non-rigid airships for observation purposes; they were taken over by the Royal
List_of_British_airships
Physical components of a computer
by hardware. Hardware derived its name from the fact that it is hard or rigid with respect to changes, whereas software is soft because it is easy to
Computer_hardware
In mathematics, invertible homomorphism
called transformations, for example rigid transformations, affine transformations, projective transformations. Category theory, which can be viewed as a
Isomorphism
Wearable machine meant to enhance a person's strength and mobility
within multiple categories. As an emerging technology, exoskeleton categories are not rigidly defined. New categories or sub-categories of exoskeletons
Exoskeleton_(human)
Board to support and connect electronic components
Interconnect?". August 21, 2018. IPC-D-275: Design Standard for Rigid Printed Boards and Rigid Printed Board Assemblies. IPC. September 1991. Sood, B. and
Printed_circuit_board
Category C – Same as category B, but without the weight limit. This category allows all vehicles in category B, in addition to rigid trucks. Category
Driving_licence_in_Brazil
Corrective medical device worn around a patient's back
loads) Semi rigid braces : Semi-rigid braces combine elements of flexible and rigid braces within one overall design. This is done by adding rigid supports
Back_brace
Vertical or steeply inclined set of rungs or steps
or steps commonly used for climbing or descending. There are two types: rigid ladders that are self-supporting or that may be leaned against a vertical
Ladder
Airborne wind energy system using a tethered rigid wing
strongly favours aerodynamically efficient rigid wings. Rigid kites are divided into two main categories according to where electrical power is generated
Rigid kite (airborne wind energy)
Rigid_kite_(airborne_wind_energy)
License to operate large or heavy vehicles
Rider: Motorcycle riders require a 'Class R' licence. LR Light Rigid: 'Class LR' covers a rigid vehicle with a GVM of more than 4.5 tonnes (4.4 long tons;
Commercial_driver's_license
U.S. Navy, Vietnam War (1966–1975)
River / PBR or Pibber, is the United States Navy designation for a small rigid-hulled patrol boat used in the Vietnam War from March 1966 until 1975. They
Patrol_Boat,_River
Industrial-grade storage and transport container for fluids and solids
Corning. There are several types of IBCs with the two main categories being flexible IBCs and rigid IBCs. Many IBCs are reused with proper cleaning and reconditioning
Intermediate_bulk_container
Species of grass
annual ryegrass, a name also given to Italian ryegrass (Lolium multiflorum), rigid ryegrass, stiff darnel, Swiss ryegrass and Wimmera ryegrass. It is a native
Lolium_rigidum
Part of the body that forms the supporting structure
including the exoskeleton, which is a rigid outer shell that holds up an organism's shape; the endoskeleton, a rigid internal frame to which the organs and
Skeleton
Indian polymath (1861–1941)
of Visva-Bharati University. Tagore modernised Bengali art by spurning rigid classical forms and resisting linguistic strictures. His novels, stories
Rabindranath_Tagore
Process of collecting and restating certain area of law forming a legal code
comment on the futility of trying to compress human behaviour into rigid categories. President Thomas Jefferson had remained neutral when Duane's attempted
Codification_(law)
History of maths
This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Tool to give more leverage when throwing a spear-like projectile
A spear-thrower, spear-throwing lever, or atlatl is a tool that uses leverage to achieve greater velocity in dart or javelin throwing, and includes a bearing
Spear-thrower
Membrane that surrounds or partially covers the vaginal opening
post-pubertal hymen range from thin and stretchy to thick and somewhat rigid. Very rarely, it may be completely absent. The hymen can rip or tear during
Hymen
Spinal implants designed to preserve lumbar motion after posterior decompression
vaious degrees of segmental movement. They are used as alternatives to rigid spinal fusion in selected patients with degenerative lumbar conditions such
Posterior motion preservation devices
Posterior_motion_preservation_devices
Early type of electric locomotive
Rigid-framed electric locomotives were some of the first generations of electric locomotive design. When these began the traction motors of these early
Rigid-framed electric locomotive
Rigid-framed_electric_locomotive
8×8, 6×6, and 4×4 off-road trucks
brackets. All Category 1 (and follow-on series) share a modular design. They have a torsionally rigid box-section chassis frame with rigid hub-reduction
MAN_KAT1
Polymer composed of a chain of organic units joined by carbamate (urethane) links
chemical structures leading to many different applications. These include rigid and flexible foams, and coatings, adhesives, electrical potting compounds
Polyurethane
Medical condition
venogenic erectile dysfunction and penile venous insufficiency, is one category of vascular-induced (vasculogenic) impotence – a cause of erectile dysfunction
Venous_leak
Airport pavement rating system
based on layered elastic analysis, uses standard subgrade categories for both flexible and rigid pavement, and eliminates the use of alpha factor and layer
ACR-PCR_method
as one of Germany's most successful small airships. Data from Zeppelin : rigid airships, 1893-1940 General characteristics Crew: 20 Length: 158 m (518 ft
Zeppelin_LZ_17
Movement of Earth's lithosphere
and shape Earth's crust are called tectonics. Earth's lithosphere, the rigid outer shell of the planet including the crust and upper mantle, is fractured
Plate_tectonics
Process of energy transfer to an object via force application through displacement
the points X1, X2, ..., Xn in a rigid body. The trajectories of Xi, i = 1, ..., n are defined by the movement of the rigid body. This movement is given by
Work_(physics)
American guitarist, singer and songwriter (born 1957)
roadhouse shuffles..." Tony Russell: "If you define 'blues' by the rigid categories of structure rather than the flexible language of feeling allusion
James_Armstrong_(musician)
French maritime technology company
International Award, in the category of Environmental Achievement of the Year - Propulsion System Design, for the retrofit installation of a rigid wingsail on Maria
OceanWings
Social stratification conferring status
ethnographic example of caste is the division of India's Hindu society into rigid social groups. Its roots lie in South Asia's ancient history, and it still
Caste
Poetry anthology edited by Donald Allen
that his divisions "were somewhat arbitrary and cannot be taken as rigid categories": Black Mountain poets associated with Black Mountain College and/or
The New American Poetry 1945–1960
The_New_American_Poetry_1945–1960
1937 airship fire in the US
#129; Registration: D-LZ 129) was a German commercial passenger-carrying rigid airship, the lead ship of the Hindenburg class, the longest class of flying
Hindenburg_disaster
1997 film by James L. Brooks
stepping on sidewalk cracks, has rituals with switches and locks, sticks to rigid routines, and always eats breakfast at the same table in the same restaurant
As_Good_as_It_Gets
The Filper Research Models Beta 200 and Beta 400 were small tandem, rigid rotor, helicopters intended for the personal helicopter market. Filper Research
Filper_Research_Beta
Category of vehicle
being any rigid goods vehicle with more than two axles. A driver can commence training for a Category C license from 18 years old. Category C+E: allows
Large_goods_vehicle
Protective gear for the eyes
with side protection; goggles; welding helmet; welding hand shields; non-rigid helmets (hoods); face shield; and respirator face pieces. Safety glasses
Eye_protection
1950 sociology book
Superstition and stereotypy: Belief in individual fate; thinking in rigid categories. Power and toughness: Concern with submission and domination; assertion
The_Authoritarian_Personality
Degenerative neurological disorder
impairment, balance and coordination dysfunction (ataxia), changes in gait, and rigid posture. In most people with CJD, these symptoms are accompanied by involuntary
Creutzfeldt–Jakob_disease
Vector relating the initial and the final positions of a moving point
{i}}=\Delta {x}} In dealing with the motion of a rigid body, the term displacement or motion (rigid body motion) may also include the rotations of the
Displacement_(geometry)
Payload-carrying projectile
Armour-piercing composite rigid (APCR), also known as High-Velocity Armour-Piercing (HVAP) Armour-piercing composite non-rigid (APCNR), also known as Armour-Piercing
Shell_(projectile)
Imprint of mouth tissue
clinical indication. Common materials used for dental impressions are: non rigid materials: reversible hydrocolloids: agar irreversible hydrocolloids: sodium
Dental_impression
Country in South Asia
experienced in later periods. This would contradict assertions that this rigid form of the caste system emerged in India only as a reaction to the Islamic
India
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