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On smallest surface enclosing two volumes
In the mathematical theory of minimal surfaces, the double bubble theorem states that the shape that encloses and separates two given volumes and has
Double_bubble_theorem
Topics referred to by the same term
Double bubble may refer to: Double bubble theorem, that the minimum surface surrounding two given volumes is formed by three spherical patches meeting
Double_bubble
Thin film of soapy water enclosing air
known since 1884 that a spherical soap bubble is the least-area way of enclosing a given volume of air (a theorem of H. A. Schwarz), it was not until 2000
Soap_bubble
American mathematician
proof of the four-dimensional case of the double bubble theorem, on the optimal shape of two-chamber soap bubbles. She completed her Ph.D. in 2008 at the
Yvonne_Lai
Planar maps require at most four colors
In mathematics, the four color theorem, or the four-color map theorem, states that no more than four colors are required to color the regions of any map
Four_color_theorem
American mathematician
California, Berkeley. He is known for proving the double bubble conjecture on the shape of two-chambered soap bubbles, and for his work on circle-valued Morse
Michael Hutchings (mathematician)
Michael_Hutchings_(mathematician)
To find the minimal surface with a given boundary
homeomorphic to single embedded spheres. Mathematics portal Physics portal Double Bubble conjecture Dirichlet principle Plateau's laws Stretched grid method
Plateau's_problem
Mathematical proof at least partially generated by computer
solved game Non-existence of a finite projective plane of order 10, 1989 Double bubble conjecture, 1995 Robbins conjecture, 1996 Kepler conjecture, 1998 –
Computer-assisted_proof
Hypothetical megastructure around a star
complicate their use in storytelling. One such difficulty arises from the shell theorem: within a spherical shell, gravitational forces are in equilibrium, so
Dyson_sphere
Pictorial representation of the behavior of subatomic particles
Goldstone in 1957. An immediate consequence of the linked-cluster theorem is that all vacuum bubbles, diagrams without external lines, cancel when calculating
Feynman_diagram
divergences, curls, the fundamental theorem of gradients, Green's theorem, Stokes' theorem, and Gauss' theorem). Other optional mathematics courses may
Mathematics education in the United States
Mathematics_education_in_the_United_States
Ualbai Umirbaev, 2003) Double bubble conjecture (Michael Hutchings, Frank Morgan, Manuel Ritoré, Antonio Ros, 2002) Honeycomb theorem (Thomas Callister Hales
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
American mathematician (born 1941)
map Double bubble conjecture Flexible polyhedron Formal manifold Loch Ness monster surface Normal invariant Ring lemma Rummler–Sullivan theorem Ruziewicz
Dennis_Sullivan
Propagation of information or matter faster than the speed of light
that the bubble can reach a distant destination much faster than a light beam moving outside the bubble, but without objects inside the bubble locally
Faster-than-light
How psychological biases shape investor behaviour and financial markets
per share would result in a larger bubble. Experiments by Caginalp, Porter and Smith (1998) confirmed that doubling the level of cash, for example, while
Behavioural_finance
Transition from solid to gas without melting
called evaporation, and vaporization at the boiling point with formation of bubbles in the interior of the liquid is called boiling. However there is no such
Sublimation (phase transition)
Sublimation_(phase_transition)
Motion of a curve based on its curvature
with angles of 2π/3, the self-similar shrinking solutions include a double bubble surrounding two equal areas, a lens shape (vesica piscis) bounded by
Curve-shortening_flow
Theory of rapid universe expansion
called the inflationary "no-hair theorem" by analogy with the no hair theorem for black holes. The "no-hair" theorem works because the cosmological horizon
Cosmic_inflation
Elementary particle involved with rest mass
also seemed to predict known massive particles as massless. Goldstone's theorem, relating to continuous symmetries within some theories, also appeared
Higgs_boson
technology-driven market bubbles. Similarly, Jeffrey Gundlach, CEO of DoubleLine Capital, explicitly compared the AI boom to the dot-com bubble of the late 1990s
History of artificial intelligence
History_of_artificial_intelligence
Shape with six sides
Conway criterion will tile the plane. Pascal's theorem (also known as the "Hexagrammum Mysticum Theorem") states that if an arbitrary hexagon is inscribed
Hexagon
(Riki Lindhome) first appears in the season 2 episode "The Cooper–Nowitzki Theorem" as a graduate student at Caltech. She is a huge fan of Sheldon's work
List of The Big Bang Theory franchise characters
List_of_The_Big_Bang_Theory_franchise_characters
Surface with constant mean curvature
domes and enclosures, as well as a source of flowing organic shapes. Double bubble conjecture Free surface Minimal surface Nick Korevaar, Jesse Ratzkin
Constant-mean-curvature surface
Constant-mean-curvature_surface
List of statements that appear to contradict themselves
contact with that field. Bell's theorem: Why do measured quantum particles not satisfy mathematical probability theory? Double-slit experiment: Matter and
List_of_paradoxes
Curved triangle with constant width
compass alone, not even needing a straightedge. By the Mohr–Mascheroni theorem the same is true more generally of any compass-and-straightedge construction
Reuleaux_triangle
Field of mathematics and science based on non-linear systems and initial conditions
circuit Cliodynamics Coupled map lattice Double pendulum Duffing equation Dynamical billiards Economic bubble Gaspard-Rice system Logistic map Hénon map
Chaos_theory
Type of group in abstract algebra
the representation theory of Lie groups, and combinatorics. Cayley's theorem states that every group G {\displaystyle G} is isomorphic to a subgroup
Symmetric_group
Concept in market economics
that money is fundamentally different from commodities and that credit bubbles can and do cause depressions. Notably, the debt owed does not change because
Say's_law
Event that is both extremely large in effect and of unique origins
king. Dragon kings are also caused by attractor bubbling in coupled oscillator systems. Attractor bubbling is a generic behavior appearing in networks of
Dragon_king_theory
Economic theory that asset prices fully reflect all available information
random walk theory can be described through the fundamental theorem of asset pricing. This theorem provides mathematical predictions regarding the price of
Efficient-market_hypothesis
tetrahedrons: an alternative to Marching cubes Discrete Green's theorem: an algorithm for computing double integral over a generalized rectangular domain in constant
List_of_algorithms
Cohort born from 1946 to 1964
affordable housing outside the major cities; to prevent another housing bubble, banks and regulators have restricted lending to filter out speculators
Baby_boomers
English polymath (1642–1727)
generalised the binomial theorem to any real number, introduced the Puiseux series, was the first to state Bézout's theorem, classified most of the cubic
Isaac_Newton
American scientist and science communicator (1934–1996)
Last Theorem.' Or the Goldbach Conjecture. So then I have to explain what these are, because extraterrestrials will not call it Fermat's Last Theorem. So
Carl_Sagan
Intelligence of machines
Nilsson (1998, chpt. 3.3) Universal approximation theorem: Russell & Norvig (2021, p. 752) The theorem: Cybenko (1988), Hornik, Stinchcombe & White (1989)
Artificial_intelligence
Conceptual opposite of an electron
in 1929 by Rudolf Peierls, who analyzed the Hall effect using Bloch's theorem, and demonstrated that a nearly full and a nearly empty Brillouin zones
Electron_hole
Device that emits light via optical amplification
polymers as laser media. Bubble lasers are dye lasers that use a bubble as the optical resonator. Whispering gallery modes in the bubble produce an output spectrum
Laser
Pythagoras was not the first to discover what is now called the Pythagorean theorem, as it was known and used by the Babylonians and Indians centuries before
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
Size of a two-dimensional surface
and b is the number of boundary points. This result is known as Pick's theorem. The area between a positive-valued curve and the horizontal axis, measured
Area
Describes approximate behavior of a function
an arithmetical function, as for the remainder term in the prime number theorem. In mathematical analysis, including calculus, Big O notation bounds the
Big_O_notation
Concept in physical models
mass Schwarzschild solution, then it must satisfy the positive energy theorem, i.e. its ADM mass must be positive, which is of course not the case. However
Negative_mass
Solitons in Euclidean spacetime
obey nonrenormalization theorems, which restrict the kinds of quantum corrections which are allowed. Many of these theorems only apply to corrections
Instanton
Estimate of time taken for running an algorithm
sorted. Bogosort shares patrimony with the infinite monkey theorem. An algorithm is said to be double exponential time if T ( n ) {\displaystyle T(n)} is upper
Time_complexity
French physicist
P. Poggi, « Power injected in dissipative systems and the fluctuation theorem », Eur. Phys. J., b 19, (2001), p. 449-460 Molten Metal Magnet, January
Stéphan_Fauve
English actress, model and film director (born 1987)
The Guardian. London: Guardian News and Media. Retrieved 6 February 2009. Bubble, Susie (21 July 2008). "Lily Cole and Alice Dellal are among the victims
Lily_Cole
after misplacing a decimal point on a statistical table The Billion Dollar Bubble (1976) - featuring James Woods, based on the Equity Funding scandal Boyhood
List_of_fictional_actuaries
of Google Japanese Input using bubble wrap. Also, on the website they gave at the end of the video, there was a bubble wrap at the end of the page. Google
List of Google April Fools' Day jokes
List_of_Google_April_Fools'_Day_jokes
Fast battleship class of the United States Navy
flumes of various hull forms and propellers and a newly developed empirical theorem that related waterline length to maximum beam, the Navy drafted plans for
Iowa-class_battleship
Statistic for rank correlation
variance 2 ( 2 n + 5 ) / 9 n ( n − 1 ) {\textstyle 2(2n+5)/9n(n-1)} . Theorem. If the samples are independent, then the variance of τ A {\textstyle \tau
Kendall rank correlation coefficient
Kendall_rank_correlation_coefficient
Branch of machine learning
terms of the universal approximation theorem or probabilistic inference. The classic universal approximation theorem concerns the capacity of feedforward
Deep_learning
Comic book series
Marilyn Monroe, ..) and some mathematical theorems (the Genesis Formula, Goldbach's Conjecture and Fermat's Last Theorem). About the time when The Genesis Equation
Storm_(Don_Lawrence)
Range of physical processes in physics
centers, are too numerous to list, but a small sample includes particles, bubbles, droplets, density fluctuations in fluids, crystallites in polycrystalline
Scattering
Description of the orientation of a rigid body
quaternions and Euler angles Davenport chained rotations Euler's rotation theorem Gimbal lock Quaternion Quaternions and spatial rotation Rotation formalisms
Euler_angles
Government system dominated by only two major political parties
having only two parties is that the nation loses "the ability for things to bubble up from the body politic and give voice to things that aren't being voiced
Two-party_system
Scattering of an electromagnetic plane wave by a sphere
Church; Ronald A. Roy (1992). "Sonoluminescence and bubble dynamics for a single, stable, cavitation bubble". The Journal of the Acoustical Society of America
Mie_scattering
Levy on the unimproved value of land
Economists have formalized a related but more limited result, the Henry George Theorem, showing that under certain optimal conditions, aggregate urban land rents
Land_value_tax
Material designed to manipulate sound waves
metamaterial is a zinc blende structure consisting of one fcc array of bubble-contained-water spheres (BWSs) and another relatively shifted fcc array
Acoustic_metamaterial
Austrian physicist (1887–1961)
researcher in 1914 were checking formulas for capillary pressure in gas bubbles and the study of the properties of soft beta radiation produced by gamma
Erwin_Schrödinger
Subset of artificial intelligence
Structural health monitoring Syntactic pattern recognition Telecommunications Theorem proving Time-series forecasting Tomographic reconstruction User behaviour
Machine_learning
Decade of the Gregorian calendar (1990–1999)
bookmark homepage, were as popular as searching via web crawlers. The dot-com bubble of 1997–2000 brought wealth to some entrepreneurs before its crash of the
1990s
Change in sea level due to gravity
narratives. Aquaculture – Farming of aquatic organisms Clairaut's theorem – Theorem about gravityPages displaying short descriptions of redirect targets
Tide
In economics, an imposed cost or benefit
economic decision-making Club good – Type of economic goods Coase theorem – Theorem in economics Externalities of automobiles – Impacts of car usePages
Externality
Object with escape velocity exceeding the speed of light
depends on its composition and structure; Hawking radiation, by the no-hair theorem, is generally thought of as depending only on the black hole's mass, charge
Dark star (Newtonian mechanics)
Dark_star_(Newtonian_mechanics)
Energy driving the accelerated expansion of the universe
boundary ω = − 1 {\displaystyle \omega =-1} from above to below. A no-go theorem has been proved that this scenario requires models with at least two types
Dark_energy
Electronic comparator circuit with hysteresis
V_{+}} of the resistive summer can be found by applying the superposition theorem: V + = R 2 R 1 + R 2 ⋅ V i n + R 1 R 1 + R 2 ⋅ V S . {\displaystyle V_{+}={\frac
Schmitt_trigger
Compulsory contribution to state revenue
end real estate bubbles, business cycles, unemployment and distribute wealth much more evenly. Joseph Stiglitz's Henry George Theorem predicts its sufficiency
Tax
Academic discipline concerned with the exchange of money
financial markets. The underlying economic logic yields the fundamental theorem of asset pricing, which gives the conditions for arbitrage-free asset pricing
Financial_economics
can be used to derive the combined mass of the group by using the virial theorem. Virgo Supercluster (Virgo SC) A massive association of over 100 galaxy
Glossary_of_astronomy
Public university in Ann Arbor, Michigan, U.S.
faculty in physics have included Donald A. Glaser, the inventor of the bubble chamber; Samuel Goudsmit and George Uhlenbeck, discoverers of electron spin;
University_of_Michigan
fixed-point theorem is a fixed-point theorem in topology, named after Dutchman Luitzen Brouwer, who proved it in 1911. The hairy ball theorem of algebraic
List_of_Dutch_discoveries
Elementary particle with negative charge
portal Physics portal Science portal Anyon Beta radiation Electride Electron bubble Exoelectron emission g-factor Lepton List of particles One-electron universe
Electron
American economist and Nobel Laureate (born 1943)
the US after the 2008 financial crisis, had "basically exported a debt bubble to developing countries". The economic analysis of Stiglitz and Ira Regmi
Joseph_Stiglitz
Brothers Grimm (2005), The Imaginarium of Doctor Parnassus (2009), The Zero Theorem (2013) John Gilling Sid James Escape by Night (1953), Interpol (1957),
List of film director and actor collaborations
List_of_film_director_and_actor_collaborations
Community of living organisms together with the nonliving components of their environment
Zimov, S. A.; Chanton, J. P.; Verbyla, D.; Chapin, F. S. (2006). "Methane bubbling from Siberian thaw lakes as a positive feedback to climate warming" (PDF)
Ecosystem
Region of England
Nottingham was a mathematical physicist best known for the vector calculus theorem and the functions that bear his name. Henry Cavendish, loosely connected
East_Midlands
Big Dishes / The Living Stream" 5 December 1965 (1965-12-05) 5 "Boys on Bubbles / Problems and Puzzles" 19 December 1965 (1965-12-19) 6 "Windows of the
List of Horizon (British TV series) episodes
List_of_Horizon_(British_TV_series)_episodes
Indian inventions
number. Kosambi–Karhunen–Loève theorem (also known as the Karhunen–Loève theorem) The Kosambi-Karhunen-Loève theorem is a representation of a stochastic
List of Indian inventions and discoveries
List_of_Indian_inventions_and_discoveries
Branch of civil engineering dealing with man-made structures
elastici", which contains his theorem for computing displacement as the partial derivative of the strain energy. This theorem includes the method of "least
Structural_engineering
Blockchain and cryptocurrency
Algorand consensus protocol privileges consistency over availability (CAP theorem). If the network is unable to reach consensus over the next step (or block)
Algorand
rapidly than lethal radiation effects as explosive yield increases. This bubble is faster than the speed of sound. The physical damage mechanisms of a nuclear
Effects_of_nuclear_explosions
Circular relationships between cause and effect
are real in their consequences". The theory was later termed the "Thomas theorem". Sociologist Robert K. Merton (1948, 1949) built on the Thomas principle
Reflexivity_(social_theory)
Arrangement of points on a sphere
work of Landkof. For non-integrable Riesz kernels, the poppy-seed bagel theorem holds, see the 2004 work of Hardin and Saff. Notable cases include: α = ∞
Thomson_problem
processing is required. In 1931, Kurt Gödel proved with an incompleteness theorem that it is always possible to construct a "Gödel statement" that a formal
Philosophy of artificial intelligence
Philosophy_of_artificial_intelligence
Birkeland current Blacklight Power Blazar Bohm diffusion Bohr–van Leeuwen theorem Boltzmann relation Bow shock Bremsstrahlung Bussard ramjet Capacitively
List of plasma physics articles
List_of_plasma_physics_articles
Limit of sequence of smooth functions
First, for a function f in the interval (a,b), recall the fundamental theorem of calculus ∫ a b ∂ f ( x ) ∂ x d x = lim x ↗ b f ( x ) − lim x ↘ a f (
Laplacian_of_the_indicator
groundbreaking contributions to abstract algebra and theoretical physics; Noether's Theorem Jean-Antoine Nollet (1700–1770), France – Electroscope Wilhelm Normann
List_of_inventors
drainhole vortices (including the bathtub vortex), smoke rings, underwater bubble air rings, cavitation vortices behind ship propellers, and so on. In the
History_of_fluid_mechanics
Season of television series
information entropy, graph theory - Seven Bridges of Königsberg and soap bubble theory with Steiner tree 23 10 "Bones of Contention" Jeannot Szwarc Christos
Numbers_season_2
American film production company
Turkey, Nordics, Asia, South Africa; U.S. distribution by A24) The Zero Theorem (2013) (U.K., Australia, Spain, Scandinavia; U.S. distribution by Amplify
Stage_6_Films
American film production and distribution company
Don Jon 2013 - Empire State 2013 - Absolute Deception 2013 - The Zero Theorem 2013 - Dallas Buyers Club 2013 - Ambushed 2013 - Force of Execution 2014
Voltage_Pictures
List of concepts in artificial intelligence
intelligent agents are referred to as cognitive architectures. AI bubble Theorised stock market bubble growing amidst the AI boom, a period of rapid increase in
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Propulsion concepts and technologies
spatial translation symmetry of physical law as expressed by Noether's theorem. Field propulsion concepts have appeared extensively in science fiction
Field_propulsion
1828 U.S. campaign issue
than a loosely joined series of salients, tongues, and 'bubbles'. Davidson County was a bubble separated from the older Tennessee settlements by several
Andrew Jackson and the slave trade
Andrew_Jackson_and_the_slave_trade
ISBN 978-1-118-90590-6. Retrieved July 16, 2017. Campbell, G. (2016). Bubbles in Food 2: Novelty, Health and Luxury. American Associate of Cereal Chemists
Pizza_in_China
Form of microscopy using an electron beam
, Xe bubbles in aluminum. Scanning confocal electron energy loss microscopy (SCEELM) is a new analytical microscopy tool that enables a double corrected
Electron energy loss spectroscopy
Electron_energy_loss_spectroscopy
Prediction that causes itself to become true
scholars to investigate this phenomenon. In 1928, they developed the Thomas theorem (also known as the Thomas dictum): "If men define situations as real, they
Self-fulfilling_prophecy
equation of the second order and general proof of the Lagrange reversion theorem by Pierre-Simon Laplace in the late eighteenth and the early nineteenth
List of French inventions and discoveries
List_of_French_inventions_and_discoveries
\mathbf {dr} } For a simply-connected surface S {\displaystyle S} , Stokes theorem holds, and the circulation vanishes, as the velocity can be expressed as
Quantum_turbulence
Month of 1926
German-born U.S. mathematician known for the Hochschild–Kostant–Rosenberg theorem; in Berlin (d.2007) Died: Claude Monet, 86, French Impressionist painter
December_1926
collaboration with his student Fritz Peter a fundamental theorem in harmonic analysis—the Peter–Weyl theorem—relevant to group representations in quantum theory
Timeline_of_quantum_mechanics
DOUBLE BUBBLE-THEOREM
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