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Class of algebraic theorems
Local rigidity theorems in the theory of discrete subgroups of Lie groups are results which show that small deformations of certain such subgroups are
Local_rigidity
Theorem in hyperbolic geometry
In mathematics, Mostow's rigidity theorem, or strong rigidity theorem, or Mostow–Prasad rigidity theorem, essentially states that the geometry of a complete
Mostow_rigidity_theorem
In discrete geometry, geometric rigidity is a theory for determining if a geometric constraint system (GCS) has finitely many d {\displaystyle d} -dimensional
Geometric_rigidity
Movement of cells according to local rigidity gradient
by rigidity gradients, which arise from differential structural properties of the extracellular matrix (ECM). Most normal cells migrate up rigidity gradients
Durotaxis
Israeli mathematician
mathematics. He contributed to the theory of lattices, Fuchsian groups and local rigidity, and the work on Chern's conjecture and the Derivation Problem. Among
Tsachik_Gelander
Sports car powered by a rotary engine
RX-8 body rigidity through the addition of structural reinforcements, by adding a trapezoidal shock tower brace and enhancing the local rigidity of the front
Mazda_RX-8
Norwegian mathematician (1917–2007)
Norwegian Alma mater University of Oslo Known for Critical line theorem Local rigidity Parity problem Weakly symmetric space Chowla–Selberg formula Maass–Selberg
Atle_Selberg
American mathematician
by systems of homogeneous quadratic equations. This leads to various local rigidity results for actions on Hermitian symmetric spaces. With John Parker
William Goldman (mathematician)
William_Goldman_(mathematician)
Group theory concept
representation of G giving rise to ρ by restriction. Mostow rigidity theorem Local rigidity Margulis 1991, p. 2 Theorem 2. "Discrete subgroup", Encyclopedia
Superrigidity
General three-dimensional form of local segments of proteins
Low frequency collective vibrations are thought to be sensitive to local rigidity within proteins, revealing beta structures to be generically more rigid
Protein_secondary_structure
curve#Examples, moduli stack of elliptic curves. Siegel modular form Rigidity (mathematics) Local rigidity Mumford, Fogarty & Kirwan 1994, Ch. 7. Katz & Mazur 1985
Level structure (algebraic geometry)
Level_structure_(algebraic_geometry)
Discrete subgroup in a locally compact topological group
generally in semisimple algebraic groups over local fields. In particular there is a wealth of rigidity results in this setting, and a celebrated theorem
Lattice_(discrete_subgroup)
In mathematics, rigidity of K-theory encompasses results relating algebraic K-theory of different rings. Suslin rigidity, named after Andrei Suslin, refers
Rigidity_(K-theory)
Progressive neurodegenerative disease
parkinsonism, include tremors, slowness in initiating movement (bradykinesia), rigidity, and difficulty maintaining balance (postural instability). Non-motor symptoms
Parkinson's_disease
Physico-chemical phenomenon with biochemistry applications
energy emitting states to the total fluorescence increases with the local rigidity of the duplex (depending on the number of the Watson-Crick hydrogen
Intrinsic_DNA_fluorescence
Field of study in computer vision
the notion of local rigidity. The kinematic skeleton is constructed by a tree-structured chain. Each rigid body segment has its local coordinate system
Articulated body pose estimation
Articulated_body_pose_estimation
American photographer and environmentalist (1902–1984)
produce a wide range of bold, expressive tones, and felt constricted by the rigidity of the color process. Most of his color work was done on assignments, and
Ansel_Adams
S L 2 ( R ) {\displaystyle \mathrm {SL} _{2}(\mathbb {R} )} . Then local rigidity implies the following result. The field k Γ {\displaystyle k\Gamma }
Trace field of a representation
Trace_field_of_a_representation
Country in East Asia
doi:10.1057/9781137465498_2. ISBN 978-1-349-49955-7. Ren, Mu (2021). Beyond Rigidity: China's Non-Intervention Policy in the Post-Cold War Period. Springer
China
Type of function in mathematics
Analyticity is a strong regularity condition. Analytic functions have rigid local behavior: for example, on a connected domain, an analytic function whose
Analytic_function
Mathematics award
US Hebrew University of Jerusalem, Israel "For his results on measure rigidity in ergodic theory, and their applications to number theory." Ngô Bảo Châu
Fields_Medal
Turkish Empire (c. 1299–1922)
adjustments occurred in the Ottoman and Safavid realms defined by a new rigidity that favoured Ottoman Turkish and Persian, respectively. In the Ottoman
Ottoman_Empire
Psychoactive drug, often called ecstasy
vascular smooth muscle tissue, stronger effects at the uterus, and no "local effect at the eye". MDMA was also found to have effects on blood sugar levels
MDMA
Scottish physicist and mathematician (1831–1879)
and blue, the basis for colour television. He worked on analysing the rigidity of rod-and-joint frameworks (trusses) like those in many bridges. He devised
James_Clerk_Maxwell
Theorem in Lie theory in mathematics
when restricting to the subclass of arithmetic groups. Together with local rigidity and finite generation of lattices the Kazhdan-Margulis theorem is an
Kazhdan–Margulis_theorem
Form of sexual dysfunction in males
recurring inability to achieve or maintain a penile erection with sufficient rigidity and duration for satisfactory sexual activity. It is the most common sexual
Erectile_dysfunction
transit for the players and staff. FIFA denied the request, citing the rigidity of the FIFA International Match Calendar, and instead proposed an alternative
List of 2026 FIFA World Cup controversies
List_of_2026_FIFA_World_Cup_controversies
American mathematician
Academy of Arts and Sciences in 2013. Lawson, H. Blaine Jr. (1969). "Local rigidity theorems for minimal hypersurfaces". Annals of Mathematics. Second Series
H._Blaine_Lawson
Subculture of hardcore punk
members of the Washington, D.C., hardcore scene who were frustrated by the rigidity and intolerance in the scene. During the youth crew era, which started
Straight_edge
President of the United States from 1901 to 1909
had been depressed by the formalistic treatment of many subjects, by the rigidity, the attention to minutiae that were important in themselves, but which
Theodore_Roosevelt
Threshold of percolation theory models
{\displaystyle p_{2},p_{3}} . Assuming a finite graph with unbending bonds, rigidity percolation refers to a situation where the entire graph is rigid everywhere
Percolation_threshold
Testable implication of local hidden-variable theories
the rigidity of the CHSH game, first attributed to Summers and Werner. More formally, we have the following result: Theorem (Exact CHSH rigidity)—Let
CHSH_inequality
1847 novel by Emily Brontë
outcomes from the rigidity of the common law. In addition, inheritance of property in towns was commonly subject to the application of local manorial courts
Wuthering_Heights
Polyhedra are determined by surface distance
Alexandrov's theorem on polyhedra is a rigidity theorem in mathematics, describing three-dimensional convex polyhedra in terms of the distances between
Alexandrov's theorem on polyhedra
Alexandrov's_theorem_on_polyhedra
1849–1850 novel by Charles Dickens
British Empire. The latter was a way for individuals to escape some of the rigidity of British society and start anew. Some of these subjects are directly
David_Copperfield
Total market value of goods and services produced within a country
The standards are designed to be flexible, to allow for differences in local statistical needs and conditions. A peer-reviewed study published in the
Gross_domestic_product
Possible distances in a bar-joint system
In the mathematical theory of structural rigidity, the Cayley configuration space of a linkage over a set of its non-edges F {\displaystyle F} , called
Cayley_configuration_space
American physicist (born 1969)
Khanna, A J; Siewerdsen, J H (2014). "Deformable image registration with local rigidity constraints for cone-beam CT-guided spine surgery". Physics in Medicine
Jeffrey_Siewerdsen
Shark attacks in the United States
was among the years that Americans were trying to break away from the rigidity and conservatism of the Victorian period, one comic depicted a risqué polka-dot
Jersey Shore shark attacks of 1916
Jersey_Shore_shark_attacks_of_1916
Chinese-American mathematician (born 1949)
submanifold rigidity problems, Yau was able to adapt Jürgen Moser's method of proving Caccioppoli inequalities, thereby proving new rigidity results for
Shing-Tung_Yau
Japanese fashion subculture
different styles of gyaru are generally known as "substyles". Despite the rigidity implied by the term, these are less rigid categories and more loose labels
Gyaru
Compact car range manufactured by Mazda
was improved. Reinforcements to the body shell improve overall chassis rigidity. The front dampers of the MacPherson strut suspension have been re-tuned
Mazda3
American assault rifle
front sight post, ostensibly to resist bending in the field and increase rigidity under sustained fire. The rest of the barrel was maintained at the original
M16_rifle
Fifth generation of BMW 3 Series
space (even with the roof down), driving dynamics, weight and chassis rigidity. Official specifications are as follows: Since the following generation
BMW_3_Series_(E90)
Opioid medication
paralyzing the thoracic muscles, explained in more detail in the Muscle rigidity section below. Bradycardia: Fentanyl decreases the heart rate by increasing
Fentanyl
Series of pickup trucks
20-percent increase in torsional rigidity compared to the previous generation model. The stronger FIRM (Frame with Integrated Rigidity Mechanism) makes use of
Toyota_Hilux
Skyscraper in Manhattan, New York
Paired with a concrete-core shear wall, the moment frame lends substantial rigidity and redundancy to the overall building structure while providing column-free
One_World_Trade_Center
Supreme law of the United States
Federalist No. 43, designed to establish a balance between pliancy and rigidity.[better source needed] Article Five ends by shielding certain clauses in
Constitution of the United States
Constitution_of_the_United_States
Light-duty model in the Toyota Land Cruiser range
claimed to have a 50 per cent increase in frame rigidity, and a 30 per cent increase in overall rigidity. The model is also the first "Light Duty Series"
Toyota_Land_Cruiser_Prado
Fractal named after mathematician Benoit Mandelbrot
Theses Digitization Project. Anna Miriam Benini (2017). "A survey on MLC, Rigidity and related topics". arXiv:1709.09869 [math.DS]. Douady, Adrien; Hubbard
Mandelbrot_set
Social classification practised in India
person outside caste, but in some situations hypergamy allowed. Far less rigidity on inter-marriage between different sub-castes than between members of
Caste_system_in_India
American political party
rejected the Communist Party for what it saw as the party's bureaucratic rigidity and for its close association with the Soviet Union. The Communist Party
Communist_Party_USA
Irish rock band
as "Sunday Bloody Sunday". Flanagan said that he plays "with a martial rigidity but uses his kit in a way a properly trained drummer would not"; he tends
U2
Lover of Roman emperor Hadrian (c. 111 – 130)
terms of the suppleness and sensuality of the pose and features versus the rigidity and typical masculinity. In 1998, monumental remains were discovered at
Antinous
Skyscraper in Taiwan
an inclined movement-resisting lattice contributes to overall lateral rigidity by tying back to the mega-columns with one-story high trusses at every
Taipei_101
Compact crossover SUV
the i-VTEC system. The new chassis had increased torsional and bending rigidity, the suspension included a front toe control link MacPherson struts and
Honda_CR-V
Movement disorders that appear in early childhood
cerebral palsy. Modern materials and new functional elements enable the rigidity to be specifically adapted to the requirements that fits to the gait pattern
Cerebral_palsy
Catalan architect (1852–1926)
great structural richness, with shapes and volumes devoid of rational rigidity or any classic premise. Commissioned by the company Hijos de Pedro Mártir
Antoni_Gaudí
English musician (born 1947)
instead of a more traditional plastic plectrum, because he feels their rigidity gives him more control in playing. He is known to carry coins in his pockets
Brian_May
Series of four-wheel drive vehicles produced by Toyota
platform, the frame itself was redesigned to reduce weight and increase rigidity. The total weight of the vehicle was reduced by 200 kg (441 lb) compared
Toyota_Land_Cruiser
1967–1970 war
each Region. Nearly every move can be analysed in terms of increasing the rigidity of the Regional cores and inhibiting the effective extension of the central
Nigerian_Civil_War
American twin-engined fighter of WWII
were skinned with metal 63% thicker than standard, but the increase in rigidity made no difference in vibration. Army Lieutenant Colonel Kenneth B. Wolfe
Lockheed_P-38_Lightning
German automotive manufacturer
(called Audi Space Frame or ASF) which saves weight and improves torsion rigidity compared to a conventional steel frame. Prior to that effort, Audi used
Audi
Law created by judicial precedent
formative periods by the paucity of principles, feebleness of legislation and rigidity of rules characteristic of archaic law. So long as law is regarded as sacred
Common_law
Japanese mid-size car
in white (BIW) is 42 pounds (19 kg) lighter, with improved structural rigidity. At Virginia International Raceway, Car and Driver tested the 2.0-litre
Honda_Accord
Inflammation of membranes around the brain
"The diagnostic accuracy of Kernig's sign, Brudzinski's sign, and nuchal rigidity in adults with suspected meningitis". Clinical Infectious Diseases. 35
Meningitis
signs of a healthy brain. Although Kamala Harris certainly exhibited some rigidity and repetition, her speech remained within the normal realm for politicians
False or misleading statements by Donald Trump
False_or_misleading_statements_by_Donald_Trump
British car model from 1959 to 2000
gave a raw and bumpy ride accentuated by the woven-webbing seats, but the rigidity of the rubber cones, together with the wheels' positioning at the corners
Mini
American sports car by the Chevrolet division of General Motors (GM)
aluminum brake calipers and an all-aluminum suspension for weight savings and rigidity. The new one-piece Targa top had no center reinforcement. Retractable headlights
Chevrolet_Corvette
Description of physical properties at the atomic and subatomic scale
molecules which would quickly collapse under electric forces alone), the rigidity of solids, and the mechanical, thermal, chemical, optical and magnetic
Quantum_mechanics
Australian and American mathematician (born 1975)
67 (1958), 325–327. Erdős, László; Yau, Horng-Tzer; Yin, Jun (2012). "Rigidity of eigenvalues of generalized Wigner matrices". Advances in Mathematics
Terence_Tao
Chemical element with atomic number 51 (Sb)
improved properties for solders, bullets, and plain bearings. It improves the rigidity of lead-alloy plates in lead–acid batteries. Antimony trioxide is a prominent
Antimony
Indian actor and producer (born 1982)
characters". Sreehari Nair of Rediff.com opined that Fahadh played Shammi's rigidity by "acting from his neck up". The film won him Kerala State Film Award
Fahadh_Faasil
2012 film by Tim Burton
both Pinewood Studios and on location. Depp attempted to emulate the "rigidity" and "elegance" of Jonathan Frid's original portrayal, but also drew inspiration
Dark_Shadows_(film)
English football player and manager (born 1963)
follow some simple but effective buildup play." — The Guardian on the rigidity of the England team Barnes played for in contrast to Liverpool. Barnes'
John_Barnes
Inherited neurodegenerative disorder
dysfunction by at least three years. The clear appearance of symptoms such as rigidity, writhing motions, or abnormal posturing appear as the disorder progresses
Huntington's_disease
English actress (born 1931)
crusader, the Marchioness confronts her difficult choices head on; her rigidity of purpose, which I don't in any way share, is understandable in context
Claire_Bloom
Sudden movement of the Earth's crust
the seismic moment (total rupture area, average slip of the fault, and rigidity of the rock). The Japan Meteorological Agency seismic intensity scale,
Earthquake
Bacterial infection characterized by muscle spasms
sardonicus), followed by stiffness of the neck, difficulty in swallowing, and rigidity of pectoral and calf muscles. Other symptoms include elevated temperature
Tetanus
Capital city of Saxony, Germany
openness and transparency is intended to contrast with the opacity and rigidity of the existing building." Important bridges crossing the Elbe river are
Dresden
Organic chemical that functions both as a hormone and a neurotransmitter
increase in frequency with age, such as decreased arm swing and increased rigidity. Changes in dopamine levels may also cause age-related changes in cognitive
Dopamine
Car model series
the A2 (Golf) platform. The PQ46 platform provided increased torsional rigidity. At the Frankfurt Motor Show in September 2007, Volkswagen launched the
Volkswagen_Passat
effect of strong revenue performance and efforts to tackle expenditure rigidities, notably the wage bill. The overall fiscal deficit shrank by more than
Economy_of_Morocco
Cylinder-shaped cap with a flat crown
Accordingly, variations can be observed in elements such as the height, rigidity, color, and tassel of the fez across different periods. Initially, the
Fez_(hat)
Social community of South Asia
varna model became more popular during British rule. Thus, growing caste rigidity was an indirect effect of British rule. The rise of Rajputs is a classic
Rajput
Fifth and previous version of HyperText Markup Language
computers and devices such as web browsers, parsers, etc., without XHTML's rigidity; and to remain backward-compatible with older software. HTML5 is intended
HTML5
Construction site watcher
and was named in homage to the local term: "UMAREL" (Ultra-high-energy cosmic rays in Magnetic fields Affected by Rigidity diffusion and Energy Losses)
Umarell
Customary behaviours in an organization
corporate policies, work practices, and communication styles conflict with local customs, for example, in terms of formal vs. informal work environments
Organizational_culture
Atypical antipsychotic medication
infrequent to rare from olanzapine, but may include tremors and muscle rigidity. Although olanzapine causes an early dose-related rise in prolactin, this
Olanzapine
Type of mathematical group
that in dimensions ≥ 4, Wang's finiteness theorem (a consequence of local rigidity) asserts that this statement remains true by replacing "arithmetic"
Arithmetic_Fuchsian_group
Consolidated city-borough in Alaska, US
alcohol laws. Anchorage has been noted in the years since for its order and rigidity compared with other Alaska town sites. In 1915, territorial governor John
Anchorage,_Alaska
Design, construction, use, and application of robots
minimize edge fluttering and pressure-induced wingtip curl by increasing the rigidity of the wing edge. Mammal-inspired BFRs typically take inspiration from
Robotics
Fictional character from Cars franchise
rigid tops, but Lasseter decided this needed to be changed to reflect the rigidity of real cars. The animators spent much time working on the face to ensure
Lightning_McQueen
Electric compact crossover SUV
bars, bushings, and a stiffer rear body structure for improved torsional rigidity. It also retains the ability to tow up to 3,500 pounds with its included
Tesla_Model_Y
Biomolecule consisting of chains of amino acid residues
for only one of the two ions. Structural proteins confer stiffness and rigidity to otherwise-fluid biological components. Most structural proteins are
Protein
Structured criminal groups
Bureaucratic/corporate organized crime groups are defined by the general rigidity of their internal structures. They focus more on how the operation works
Organized_crime
Rigid organs of the skeleton of vertebrates
has an intercellular honeycomb-like matrix, which helps to give the bone rigidity. Bone tissue is made up of different types of bone cells: osteoblasts and
Bone
Cost of changing prices
in-store goods. So, menu costs are one factor that can contribute to nominal rigidity. Firms are faced with the decision to alter prices frequently as a result
Menu_cost
Compact/small family car manufactured by the Ford Motor Company 1998–2025
redesign was a support beam behind the dashboard for extra structural rigidity. Though informally considered as the second generation, it was never officially
Ford_Focus
Currency of the European Union
has come under criticism due to its regulation, lack of flexibility and rigidity towards sharing member states on issues such as nominal interest rates
Euro
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