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Topic in systems theory
In systems theory, a singularity refers to a critical condition in which relatively small changes, perturbations, or events may produce disproportionately
Singularity_(systems_theory)
Mathematical theory
In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold
Singularity_theory
Condition in which spacetime itself breaks down
A gravitational singularity, spacetime singularity, or simply singularity, is a theoretical condition in which gravity is predicted to be so intense that
Gravitational_singularity
Topics referred to by the same term
Look up Singularity or singularity in Wiktionary, the free dictionary. Singularity or singular point may refer to: Mathematical singularity, a point at
Singularity
Hypothetical event
The technological singularity, often simply called the singularity, is a hypothetical event in which technological growth accelerates beyond human control
Technological_singularity
Area of mathematics
theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in
Catastrophe_theory
Interdisciplinary study of systems
applied to other systems at every level of nesting, and in a wide range of fields for achieving optimized equifinality. General systems theory is about developing
Systems_theory
Square matrix without an inverse
quantum mechanics, signal processing, and more) for dealing with singularity. Today, singular matrices are a canonical subject in linear algebra: they delineate
Singular_matrix
Type of spacetime singularity in fiction
term quantum singularity is used to refer to many different phenomena in fiction. They often only approximate a gravitational singularity in the scientific
Quantum_singularity
Point where a mathematical object behaves irregularly
an algebraic variety. For singularities in differential geometry, see singularity theory. In real analysis, singularities are either discontinuities
Singularity_(mathematics)
Quantum description of black holes
the gravitational singularity that exists within the event horizon of a black hole. General relativity predicts that at the singularity, the curvature of
Fuzzball_(string_theory)
Key results in general relativity on gravitational singularities
general theory of relativity". A singularity in solutions of the Einstein field equations is one of three things: Spacelike singularities: The singularity lies
Penrose–Hawking singularity theorems
Penrose–Hawking_singularity_theorems
Hypothetical object of spacetime
general relativity, a white hole is a hypothetical region of spacetime and singularity that cannot be entered from the outside, although energy, matter, light
White_hole
Computer algebra system
commutative and non-commutative algebra, algebraic geometry, and singularity theory. Singular has been released under the terms of GNU General Public License
Singular_(software)
Field of Research
Singularity studies is an interdisciplinary academic field which examines the idea of technological singularity — the hypothesised point at which artificial
Singularity_studies
Geometric arrangements of points, foundational to Lie theory
connection to Lie theory (such as singularity theory). Finally, root systems are important for their own sake, as in spectral graph theory. As a first example
Root_system
Solution to the Einstein field equations
Schwarzschild metric has a singularity for r = 0, which is an intrinsic curvature singularity. It also seems to have a singularity on the event horizon r
Schwarzschild_metric
American theoretical biologist (1942–2002)
mathematical modeling of biological phenomena (see Complexity and Singularity (system theory)): from cardiac arrhythmia and circadian rhythms to the self-organization
Arthur_Winfree
fundamental system of n {\displaystyle n} linearly independent power series solutions. A non-ordinary point is called a singularity. At a singularity the maximal
Fuchsian_theory
Mathematical model of the time dependence of a point in space
engineering and systems theory, a dynamical system is the description of how a system evolves in time. The study of dynamical systems is the focus of
Dynamical_system
Methods of mathematical approximation
shell-crossing (sc) occurs in perturbation theory when matter trajectories intersect, forming a singularity. This limits the predictive power of physical
Perturbation_theory
Matrix decomposition
or linearized systems, there is a universal constant that characterizes the regularity or singularity of a problem, which is the system's "condition number"
Singular_value_decomposition
Compact astronomical body
hole would create a so-called naked singularity, a singularity outside of a black hole. Because these singularities make the universe inherently unpredictable
Black_hole
Type of function
common for a function which contains a mathematical singularity to be referred to as a 'singular function'. This is especially true when referring to
Singular_function
Book by Jean Baudrillard
Turkish, and Arabic. Desert of the real Hyperreality Singularity, a concept in systems theory where small changes unpredictably cause large effects Semiotics
The Singular Objects of Architecture
The_Singular_Objects_of_Architecture
Russian mathematician (1937–2010)
differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem. In his later years
Vladimir_Arnold
Canadian mathematician
Matthew Jenssen, and Marcus Michelen on random matrix theory with the paper The singularity probability of a random symmetric matrix is exponentially
Julian_Sahasrabudhe
Theory of gravitation as curved spacetime
the classical models predict the big bang singularity. An authoritative answer would require a complete theory of quantum gravity, which has not yet been
General_relativity
German sociologist and cultural scientist
lifestyle, classes and politics follow a system which values singularity and devalues non-singularity. Reckwitz wrote several articles for the newspaper Die
Andreas_Reckwitz
American AI researcher and writer (born 1979)
Intelligence". In Eden, Ammon; Moor, James; Søraker, John; et al. (eds.). Singularity Hypotheses: A Scientific and Philosophical Assessment. The Frontiers
Eliezer_Yudkowsky
Concept in algebraic geometry
does not is given by the isolated singularity of x2 + y3z + z3 = 0 at the origin. Blowing it up gives the singularity x2 + y2z + yz3 = 0. It is not immediately
Resolution_of_singularities
Postmodern literary genre
Systems novel is a literary genre named by Tom LeClair in his 1987 book In the Loop: Don DeLillo and the Systems Novel, and explored further in LeClair's
Systems_novel
2003 science fiction novel by Charles Stross
Fools. Singularity Sky takes place roughly in the early 23rd century, around 150 years after an event referred to by the characters as the Singularity. Shortly
Singularity_Sky
Conjecture in physics
Penrose–Hawking singularity theorems, singularities are inevitable in physically reasonable situations. Still, in the absence of naked singularities, the universe
Cosmic_censorship_hypothesis
Theoretical future event
arguing that a big crunch/ final singularity is still required under many current universal models. The technological singularity is the hypothetical advent
Omega_Point
Growth function exhibiting a singularity at a finite time
When a quantity grows towards a singularity under a finite variation (a "finite-time singularity") it is said to undergo hyperbolic growth. More precisely
Hyperbolic_growth
Concept in differential equation mathematics
coefficients are analytic functions, and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinction
Regular_singular_point
English mathematician, mathematical physicist (born 1931)
singularity theorems, and the 2020 Nobel Prize in Physics "for the discovery that black hole formation is a robust prediction of the general theory of
Roger_Penrose
Concept in mathematics
algebraic equations, the possible number of solutions is decreased. Singular perturbation theory is a rich and ongoing area of exploration for mathematicians
Singular_perturbation
General relativity model near spacetime singularities
relativity has a page on the topic of: BKL singularity A Belinski–Khalatnikov–Lifshitz (BKL) singularity is a model of the dynamic evolution of the universe
BKL_singularity
American computer scientist, author and futurist (born 1948)
book, The Singularity Is Nearer: When We Merge with AI, was published in 2024. In 2010, Kurzweil wrote and co-produced the film The Singularity Is Near:
Ray_Kurzweil
Organizational development approach
Work System Theory (WST) and Work System Method (WSM) are both forms of socio-technical systems but in the form of work systems. Also, the Work System Method
Sociotechnical_system
Russian mathematician
singularity theory, whose contributions to the subject are fundamental. He has published several books and a variety of papers in singularity theory,
Victor_Goryunov
matrix theory Representation theory Ring theory Scheme theory Semigroup theory Set theory Shape theory Sheaf theory Sieve theory Singularity theory Soliton
List_of_mathematical_theories
Scientific field of study
Physics deals with a wide variety of systems, although certain theories are used by all physicists. Each of these theories was experimentally tested numerous
Physics
Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey theory, dynamical systems, and partial differential
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Branch of engineering and mathematics
Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems. The aim is to develop a model
Control_theory
Soviet and Russian mathematician
dynamical systems. His research concerned Hamiltonian mechanics, perturbation theory, celestial mechanics, integrable systems, dynamical systems, the quasiclassical
Nikolay_Nekhoroshev
2012 non-fiction book by Ray Kurzweil
be no distinction, post-Singularity, between human and machine...". Kurzweil himself plans to "stick around" for the Singularity. He has written two health
How_to_Create_a_Mind
Physical theory of the cosmos
gravitational singularity with infinite density and temperature at a finite time in the past. However this classical gravitational theory is expected to
Big_Bang
AI thought experiment
capable of such an act), which increases the chance of a technological singularity. Roko went on to state that reading his post would cause the reader to
Roko's_basilisk
System with multiple fractal dimensions
continuous spectrum of exponents (the so-called singularity spectrum) is needed. Multifractal systems are common in nature. They include the length of
Multifractal_system
Thermodynamically open system which is not in equilibrium
as a dissipative system. Dissipative systems stand in contrast to conservative systems. A dissipative structure is a dissipative system that has a dynamical
Dissipative_system
German-born theoretical physicist (1879–1955)
best known for developing the known theory of relativity. Einstein also made important contributions to quantum theory. His mass–energy equivalence formula
Albert_Einstein
Measured time difference as explained by relativity theory
visual comparison of clocks across moving frames. These predictions of the theory of relativity have been repeatedly confirmed by experiment, and they are
Time_dilation
Simplified analysis of the short term
[citation needed] Some have criticized the notion of a technological singularity as an instance of static analysis: accelerating change in some factor
Static_analysis
Two interrelated physics theories by Albert Einstein
The theory of relativity comprises two physics theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905
Theory_of_relativity
Diagram of different points in spacetime
singularity is represented by a spacelike boundary to make it clear that once an object has passed the horizon it will inevitably hit the singularity
Penrose_diagram
Coordinate system used in general relativity
of this coordinate system is that it shows that the apparent singularity at the Schwarzschild radius is only a coordinate singularity and is not a true
Eddington–Finkelstein coordinates
Eddington–Finkelstein_coordinates
Differential equation containing derivatives with respect to only one variable
{v} }}} be non-singular in order to call this an implicit ODE [system]; an implicit ODE system satisfying this Jacobian non-singularity condition can be
Ordinary differential equation
Ordinary_differential_equation
Field-equations in general relativity
In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution
Einstein_field_equations
Theory in physics and mathematics
measure-preserving dynamical systems. Informally, dynamical systems describe the time evolution of the phase space of some mechanical system. Commonly, such evolution
Conservative_system
all but a few physically infeasible scenarios, a cosmological Big Bang singularity is inevitable unless quantum gravity intervenes. Astronomical observations
History_of_black_hole_physics
Type of AI with wide-ranging abilities
intelligence and the possibility of a technological singularity: a reaction to Ray Kurzweil's The Singularity Is Near, and McDermott's critique of Kurzweil"
Artificial general intelligence
Artificial_general_intelligence
Branch of topology
polyhedra. Shape theory associates with the Čech homology theory while homotopy theory associates with the singular homology theory. Shape theory was invented
Shape_theory_(mathematics)
Concept in complex analysis
certain type of singularity of a complex-valued function of a complex variable. It is the simplest type of non-removable singularity of such a function
Zeros_and_poles
Indian-American black hole physicist
horizon singularity inside perturbed Kerr black holes develops an instability that leads to its transformation into a curvature singularity. Khanna conducted
Gaurav_Khanna_(physicist)
Topics referred to by the same term
refer to: Cusp (singularity), a singular point of a curve Cusp catastrophe, a branch of bifurcation theory in the study of dynamical systems Cusp form, in
Cusp
Region in spacetime from which nothing can escape
fundamental gravitational collapse models, an event horizon forms before the singularity of a black hole. If all the stars in the Milky Way would gradually aggregate
Event_horizon
Futures studies influencers
Beyond (Episode 3)". 4 June 2014. Yampolskiy, Roman V. 'Leakproofing the Singularity' Nick Paton Walsh (2 September 2001). "Alter our DNA or robots will take
List_of_futurologists
finite age. However, due to a lack of a theory of quantum gravity, there is no way to say whether the singularity is an actual origin point for the universe
History of the Big Bang theory
History_of_the_Big_Bang_theory
Scottish physicist and mathematician (1831–1879)
important foundation for control theory and cybernetics, and was also the earliest mathematical analysis on control systems. In 1867, he proposed the thought
James_Clerk_Maxwell
Natural number
symbol. The Sumerian cuneiform system is a direct ancestor to the Eblaite and Assyro-Babylonian Semitic cuneiform decimal systems. Surviving Babylonian documents
1
Egyptian-born American electrical engineer
specializes in nonlinear control and singular perturbation theory, and is widely known for his textbook Nonlinear Systems, which received the 2002 IFAC Control
Hassan_K._Khalil
Combined real-and-virtual environment
software Information theory Mathematical analysis Numerical analysis Theoretical computer science Computational problem Information systems Database management
Extended_reality
Overview of and topical guide to futures studies
network analysis Strategic foresight Systems theory Technological singularity Technology Technology forecasting Theory of constraints Thought experiment
Outline_of_futures_studies
Concept in mathematics
stability of the system provides a justification for applying the qualitative theory of dynamical systems to analysis of concrete physical systems. The idea
Structural_stability
Italian mathematician
Biological Time, Symmetries and Singularities with M. Montévil (2014), Mathematics and the Natural Sciences. The Physical Singularity of Life with F. Bailly (2011)
Giuseppe_Longo
Standard representation of a mathematical object
systems of integrable differential equations are called integrable systems. The study of dynamical systems overlaps with that of integrable systems;
Canonical_form
Light bending by mass between source and observer
. Petters, Arlie O.; Levine, Harold; Wambsganss, Joachim (2001). Singularity Theory and Gravitational Lensing. Progress in Mathematical Physics. Vol. 21
Gravitational_lens
Field theory in physics that aims to unify the fundamental forces and particles
In physics, a unified field theory (UFT) is a type of field theory that allows all fundamental forces of nature, including gravity, and all elementary
Unified_field_theory
Second-order partial differential equation
only valid locally, or provided that the path does not loop around a singularity. For example, if r and θ are polar coordinates and φ = log r , {\displaystyle
Laplace's_equation
Graphical method of determining the stability of a dynamical system
open-loop system (although the number of each type of right-half-plane singularities must be known). As a result, it can be applied to systems defined by
Nyquist_stability_criterion
In control theory, Hankel singular values, named after Hermann Hankel, provide a measure of energy for each state in a system. They are the basis for balanced
Hankel_singular_value
British mathematician (1925–2016)
geometric topology and singularity theory. Zeeman's main contributions to mathematics were in topology, particularly in knot theory, the piecewise linear
Christopher_Zeeman
Theories about the end of the universe
Bang after a universal singularity is reached or a repulsive quantum force causes re-expansion. In simple terms, this theory states that the universe
Ultimate_fate_of_the_universe
Hypothetical topological feature of spacetime
densities. Such an interaction prevents the formation of a gravitational singularity (e.g. a black hole). Instead, the collapsing matter reaches an enormous
Wormhole
Private foundation created and funded by Peter Thiel
technological singularity. The Foundation has given over $1,627,000 to MIRI. In February 2006, Thiel provided $100,000 of matching funds to back the Singularity Challenge
Thiel_Foundation
Graphical presentation of the maturity of specific technologies
impulse response of an elastic system representable by a differential equation. Perhaps more telling would be to formulate a system model with solutions conforming
Gartner_hype_cycle
Soviet physicist (1917–1982)
discovered what is now called Lifshitz tails and Lifshitz singularity. In perturbation theory, Lifshitz introduced the notion of spectral shift function
Ilya_Lifshitz
"Exploding the great singularity myth" (February 2019), which critically examines the futuristic concept known as the technological singularity – an issue that
Graeme_Snooks
Quantum anomaly
effect seen in molecular systems. Kohn anomalies arise together with Friedel oscillations when one considers the Lindhard theory instead of the Thomas–Fermi
Kohn_anomaly
Grammatical category
marked for singular and plural forms, and sometimes dual form as well (grammatical number). Some other languages use different classifying systems, especially
Grammatical_person
Map of history from Big Bang to present
modern cosmology, matter is theorized to have emerged from a pure energy singularity at the Big Bang. Space and time were also born at such a point. Nonliving
Tree_of_knowledge_system
Harmonic functions as solutions to Laplace's equation
potential theory focuses on the properties of the functions as opposed to the properties of the equation. For example, a result about the singularities of harmonic
Potential_theory
topology and singularity theory. Gerard de Zeeuw (born 1936) Dutch scientist and professor Mathematical modelling of complex social systems at the University
List_of_systems_scientists
Theory of quantum gravity merging quantum mechanics and general relativity
full theory. It has been argued that singularity avoidance in LQC are by mechanisms only available in these restrictive models and that singularity avoidance
Loop_quantum_gravity
One of six awards by the Wolf Foundation
multitude of areas of mathematics, including dynamical systems, differential equations, and singularity theory. Saharon Shelah Israel for his many fundamental
Wolf_Prize_in_Mathematics
English philosopher
deterritorialization, advocating its use to dissolve existing social systems and reach a technological singularity. Along with the other members of CCRU, Land wove together
Nick_Land
American mathematician (born 1931)
his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems. Milnor is a distinguished professor at Stony Brook
John_Milnor
SINGULARITY SYSTEMS-THEORY
SINGULARITY SYSTEMS-THEORY
Boy/Male
Arabic
Broken Egg Shells (Celestial Trinary Star System in Constellation Eridanus)
Girl/Female
Arabic, Muslim
Luster; Chandelier; A Wealthy Lady; Cluster of Seven Brilliant Stars in Taurus; Commonly Known as the Seven Sisters
Girl/Female
Arabic
Luster; Chandelier; A Wealthy Lady; Cluster of Seven Brilliant Stars in Taurus; Commonly Known as the Seven Sisters
Girl/Female
Muslim/Islamic
Singularity
Boy/Male
Indian
Singularity
Girl/Female
Arabic, Muslim
Pleiades ( the Seven Sisters and Messier 45, Cluster of Seven Brilliant Stars in Taurus)
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : status name in the feudal system for a serf who had been freed.Jewish (American) : Americanized form of Friedmann (see Fried).
Girl/Female
American, Australian, Chinese, Danish, Japanese, Latin, Swedish
The Fifth Month; May; The Youngest of Sisters; Beautiful; Plum; Enchanting; Rose; Alliance; Oath; Great One; Sprouting Life
Boy/Male
Muslim
Singularity
Boy/Male
Hindu, Indian, Marathi, Sanskrit
Bull; Mighty; Masculine; A Minister of a Jaina King who Developed Vira-saiva System
Girl/Female
Indian, Punjabi, Sikh
Of the Guru; System of Guru
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Method; Organisation; System
Girl/Female
Tamil
Pranaali | பà¯à®°à®¨à®¾à®²à¯€
System, Organization
Pranaali | பà¯à®°à®¨à®¾à®²à¯€
Boy/Male
Arabic, Muslim
Religion of Path; Way; Style; System; Way of Religion
Boy/Male
Indian
King of Solar System
Girl/Female
Tamil
Pranali | பà¯à®°à®£à®¾à®²à¯€
System, Organization
Pranali | பà¯à®°à®£à®¾à®²à¯€
Girl/Female
Arabic, Muslim, Sindhi
Singularity
Girl/Female
Hindu
System, Organization
Girl/Female
Hindu
System, Organization
Girl/Female
Indian, Sanskrit
Goddess of Stems / Leaves
SINGULARITY SYSTEMS-THEORY
SINGULARITY SYSTEMS-THEORY
Boy/Male
English, Indian
Famous
Boy/Male
Indian
Past
Boy/Male
Indian
Very good
Girl/Female
Hebrew
Devoted to God.
Girl/Female
American, British, Chinese, Christian, Danish, English, Hebrew
God is Gracious; Merciful; Consecrated to God
Boy/Male
Hindu, Indian, Sanskrit
Servant of Shiva
Surname or Lastname
English
English : variant of Spring.
Boy/Male
Australian, Danish, Dutch, German, Latin, Swedish
Christian; A Follower of Christ
Surname or Lastname
English
English : habitational name for someone from Gatley in Greater Manchester (formerly in Cheshire), recorded in 1290 as Gateclyve, from Old English gÄt ‘goat’ + clif ‘cliff’, ‘bank’.
Boy/Male
African, Arabic, Greek, Hebrew, Hindu, Indian
Form of Yannis; Gift of God; The Lord is Gracious; Moon
SINGULARITY SYSTEMS-THEORY
SINGULARITY SYSTEMS-THEORY
SINGULARITY SYSTEMS-THEORY
SINGULARITY SYSTEMS-THEORY
SINGULARITY SYSTEMS-THEORY
v. t.
To make singular or single; to distinguish.
n.
Regular method or order; formal arrangement; plan; as, to have a system in one's business.
n.
An assemblage of parts or organs, either in animal or plant, essential to the performance of some particular function or functions which as a rule are of greater complexity than those manifested by a single organ; as, the capillary system, the muscular system, the digestive system, etc.; hence, the whole body as a functional unity.
n.
Celibacy.
n.
One who affects singularity.
a.
Of or pertaining to the general system, or the body as a whole; as, systemic death, in distinction from local death; systemic circulation, in distinction from pulmonic circulation; systemic diseases.
n.
The quality or state of being singular; some character or quality of a thing by which it is distinguished from all, or from most, others; peculiarity.
n.
Narrowness or illiberality of opinion; prejudice; exclusiveness; as, the insularity of the Chinese or of the aristocracy.
n.
The quality or state of being peculiar; individuality; singularity.
n.
The state or quality of being an island or consisting of islands; insulation.
pl.
of Singularity
n.
Possession of a particular or exclusive privilege, prerogative, or distinction.
n.
An assemblage of objects arranged in regular subordination, or after some distinct method, usually logical or scientific; a complete whole of objects related by some common law, principle, or end; a complete exhibition of essential principles or facts, arranged in a rational dependence or connection; a regular union of principles or parts forming one entire thing; as, a system of philosophy; a system of government; a system of divinity; a system of botany or chemistry; a military system; the solar system.
adv.
Singularly; peculiarly.
n.
The quality or state of being angular; angularness.
adv.
In a singular manner; in a manner, or to a degree, not common to others; extraordinarily; as, to be singularly exact in one's statements; singularly considerate of others.
adv.
Strangely; oddly; as, to behave singularly.
n.
Anything singular, rare, or curious.
adv.
So as to express one, or the singular number.
a.
Of or relating to a system; common to a system; as, the systemic circulation of the blood.