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The spherical Bernstein's problem is a possible generalization of the original Bernstein's problem in the field of global differential geometry, first
Spherical_Bernstein's_problem
KM of M General elephant problem: do general elephants have at most Du Val singularities? Hartshorne's conjectures In spherical or hyperbolic geometry,
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Italian-born American mathematician (1923–2023)
others. In parallel to the classical Bernstein problem for minimal surfaces, Calabi considered the analogous problem for maximal surfaces, settling the
Eugenio_Calabi
German mathematician (1862–1943)
("On the invariant properties of special binary forms, in particular the spherical harmonic functions"). Hilbert remained at the University of Königsberg
David_Hilbert
Hypothetical invisible cosmic material
Unsolved problem in physics What is dark matter? How was it generated? More unsolved problems in physics In astronomy and cosmology, dark matter is an
Dark_matter
Compact astronomical body
astrophysicist Karl Schwarzschild set out to apply the idea to stars. He assumed spherical symmetry with no spin and found a solution to Einstein's equations. A
Black_hole
Equations of motion for viscous fluids
3-dimensional orthogonal coordinate systems are 3: Cartesian, cylindrical, and spherical. Expressing the Navier–Stokes vector equation in Cartesian coordinates
Navier–Stokes_equations
German physicist (1873–1916)
field equations of general relativity, for the limited case of a single spherical non-rotating mass, which he accomplished in 1915, the same year that Einstein
Karl_Schwarzschild
Australian and American mathematician (born 1975)
two-dimensional problem in radial symmetry.[KTV09] An article by Tao in 2001 considered the wave maps equation with two-dimensional domain and spherical range.[T01a]
Terence_Tao
Soviet hydrogen bomb first tested in 1955
of 1955. For RDS-37, a new design problem made itself known, keeping the distribution of charge from the spherical implosion symmetric. This led to the
RDS-37
Exact solution to the Einstein field equations
field equations. In 1939, Einstein published "On a Stationary System with Spherical Symmetry Consisting of Many Gravitating Masses" in the Annals of Mathematics
Oppenheimer–Snyder_model
French mathematician, physicist and engineer (1854–1912)
mathematical physics, and celestial mechanics. In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system
Henri_Poincaré
Aspect ratio with a width of 1.37:1
standards. During filming, using the 4-perf frame for widescreen framing when spherical lenses are used is sometimes considered to be wasteful in terms of the
Academy_ratio
Hungarian and American mathematician and physicist (1903–1957)
showed that implosion would work if it did not depart by more than 5% from spherical symmetry. After a series of failed attempts with models, this was achieved
John_von_Neumann
Chinese-American mathematician (born 1949)
literature. Given the "threshold" dimension phenomena in the standard Bernstein problem, it is a somewhat surprising fact, due to Shiu-Yuen Cheng and Yau
Shing-Tung_Yau
Description of a quantum-mechanical system
hydrogen atom can be solved by separation of variables. In this case, spherical polar coordinates are the most convenient. Thus, ψ(r,θ,φ)=R(r) Yℓm(θ,φ)=R(r) Θ(θ) Φ(φ)
Schrödinger_equation
NASA/ESA space telescope launched in 1990
in 1990, but its main mirror had been ground incorrectly, resulting in spherical aberration that compromised the telescope's capabilities. The optics were
Hubble_Space_Telescope
Method of proof involving paradoxical properties of infinite sums
ISBN 978-0-387-98428-5. Mazur, Barry (1959). "On the structure of certain semi-groups of spherical knot classes". Publications Mathématiques de l'IHÉS. 3: 19–27. doi:10
Eilenberg–Mazur_swindle
astrophysicist Karl Schwarzschild set out to apply the idea to stars. He assumed spherical symmetry with no spin and found a solution to Einstein's equations. A
History_of_black_hole_physics
Diagram that shows all possible logical relations between a collection of sets
Marquand diagram (and as further derivation Veitch chart and Karnaugh map) Spherical octahedron – A stereographic projection of a regular octahedron makes
Venn_diagram
designed and used to be a simpler way to solve a specific problem or a broad set of problems. Simply speaking, algorithms define different processes, sets
List_of_algorithms
Process by which heat is transferred within an object
rm=r2−r1ln(r2/r1). This is the log-mean radius. The conduction through a spherical shell with internal radius, r1, and external radius, r2, can be calculated
Thermal_conduction
Elementary particle with negative charge
that all electrons were distributed in successive "concentric (nearly) spherical shells, all of equal thickness". In turn, he divided the shells into a
Electron
Surface that locally minimizes its area
complete solution of the Plateau problem by Jesse Douglas and Tibor Radó was a major milestone. Bernstein's problem and Robert Osserman's work on complete
Minimal_surface
approximation problem", Canadian Journal of Mathematics, 2: 245–256, doi:10.4153/cjm-1950-022-8, MR 0035044 Lay, S. R. (1971), "On separation by spherical surfaces"
Kirchberger's_theorem
Natural history museum in Manhattan, New York
symmetrical on multiple axes, that explores formal properties of folded spherical frames. Calatrava described it as "a flower". The capsule is to be opened
American Museum of Natural History
American_Museum_of_Natural_History
wrote extensively on other subjects, such as conic sections, optics, spherical geometry, and mechanics, but only half of his writings survive. Archimedes
History_of_mathematics
History of technical design of modern hydrogen bombs
placed the fusion fuel either surrounding the fission "trigger" (in a spherical formation) or at the heart of it (similar to a "boosted" weapon) in the
History of the Teller–Ulam design
History_of_the_Teller–Ulam_design
American architect (1867–1959)
first electric floor lamps, and his very early use of the then-novel spherical glass lampshade (a design previously not possible due to the physical
Frank_Lloyd_Wright
Calculation of radiative transfer of atmospheric electromagnetic radiation
Bourassa, A.E.; Degenstein, D.A.; Llewellyn, E.J. (2008). "SASKTRAN: A spherical geometry radiative transfer code for efficient estimation of limb scattered
Atmospheric radiative transfer codes
Atmospheric_radiative_transfer_codes
1960 film by Stanley Kubrick
film. This was a change for Kubrick, who preferred using the standard spherical format. This process allowed him to achieve ultra-high definition and
Spartacus_(film)
Integral transform useful in probability theory, physics, and engineering
spectrum (frequency domain). Assuming certain properties of the object, e.g. spherical shape and constant temperature, calculations based on carrying out an
Laplace_transform
Bearer of truth values
describing characteristics, such as the properties of being green and being spherical. According to one proposal, propositions are atypical properties of the
Proposition
Description of physical properties at the atomic and subatomic scale
example, the electron wave function for an unexcited hydrogen atom is a spherically symmetric function known as an s orbital (Fig. 1). Analytic solutions
Quantum_mechanics
City in Veneto, Italy
island of Burano; the galàni or cróstoli (angel wings); the frìtole (fried spherical doughnuts); the fregolòtta (a crumbly cake with almonds); a milk pudding
Venice
World War II Allied nuclear weapons program
von Neumann, who had experience with shaped charges, proposed using a spherical configuration instead of the cylindrical one that Neddermeyer was working
Manhattan_Project
Italian-American physicist (1901–1954)
critical on 2 December. The shape of the pile was intended to be roughly spherical, but as work proceeded Fermi calculated that criticality could be achieved
Enrico_Fermi
Atomic bomb dropped on Hiroshima
spread across a two-dimensional plane, the vertical component of a single spherical nuclear explosion was largely wasted. A cluster bomb pattern of smaller
Little_Boy
American football history
point). Unlike other similar football codes, the game ball is round (a spherical leather ball resembling a volleyball), and players advance it up the field
History_of_American_football
Canadian-American mathematician (1925–2020)
his doctoral work, he solved the "Weyl problem" in differential geometry, which had been a well-known open problem since 1916. Following his doctorate,
Louis_Nirenberg
Distribution of an uncertain quantity
rotational energy E of a diatomic molecule with moment of inertia I in spherical polar coordinates θ,ϕ (this means q above is here θ,ϕ), i.e. E=12I(pθ2+pϕ2sin2θ)
Prior_probability
Species of bacterium
Streptococcus pneumoniae, or pneumococcus, is a Gram-positive, spherical bacteria, alpha-hemolytic member of the genus Streptococcus. S. pneumoniae cells
Streptococcus_pneumoniae
Uruguayan architect (1944–2023)
experienced sun reflectivity problems as a result of their concave curved glass exteriors, which act as cylindrical and spherical reflectors, respectively
Rafael_Viñoly
Genus of bacteria
(streptós) 'twisted' and κόκκος (kókkos) 'grain') is a genus of gram-positive spherical bacteria that belongs to the family Streptococcaceae, within the order
Streptococcus
three-level cosmology in large measure gave way to the Greek concept of a spherical Earth suspended in space at the center of a number of concentric heavens
Biblical_cosmology
Sexual reproduction in canine species
that have a locking bulbus glandis, commonly known as bulb or knot, a spherical area of erectile tissue at the base of the penis. During copulation, and
Canine_reproduction
1968 film by Stanley Kubrick
photographed in Super Panavision 70 (which uses a 65 mm negative combined with spherical lenses to create an aspect ratio of 2.20:1). It would eventually be released
2001:_A_Space_Odyssey
American physicist (1892–1962)
nature remained speculative. Their presence could be detected using a spherical "bomb" containing compressed air or argon gas and measuring its electrical
Arthur_Compton
Species of insect
pp. 20, 27. ISBN 978-1-86189-294-2. "Fly Pendants and Cylindrical and Spherical Beads, ca. 1539–1292 B.C.E. Gold, lapis lazuli, Length: 9 11/16 in. (24
Housefly
Phylum of photosynthesising prokaryotes
stromatolites, but instead of forming columns, they form approximately spherical structures that were not attached to the underlying substrate as they
Cyanobacteria
Contraction of length in the direction of propagation in Minkowski space
atmosphere being contracted, shortening the trip. Heavy ions that are spherical when at rest should assume the form of "pancakes" or flat disks when traveling
Length_contraction
Area of the Solar System beyond the planets, comprising small bodies
cloud, which is believed to be a thousand times more distant and mostly spherical. The objects within the Kuiper belt, together with the members of the
Kuiper_belt
Single-reed woodwind instrument
alto. The Conn-O-Sax is built straight, with a slightly curved neck, a spherical Liebesfuß-style bell, and extra keys for low A and up to high G. It was
Saxophone
equations using computers Hundred-dollar, Hundred-digit Challenge problems — list of ten problems proposed by Nick Trefethen in 2002 Timeline of numerical analysis
List of numerical analysis topics
List_of_numerical_analysis_topics
Historic house in Buffalo, New York
laylights. There are light fixtures at the tops of the piers, which are spherical and have cubic casings. The joints between the bricks have brass and copper
Darwin_D._Martin_House
Mathematical descriptions of molecular diffusion
molecule across a cell membrane 8 nm thick is 1-D diffusion because of the spherical symmetry; However, the diffusion of a molecule from the membrane to the
Fick's_laws_of_diffusion
Life arising from non-living matter
to natural selection. A protocell is a self-organized, self-ordered, spherical collection of lipids proposed as a stepping-stone to life, that is capable
Abiogenesis
Domain of microorganisms
ultramicrobacteria are not well-studied. Most bacterial species are either spherical, called cocci (singular coccus, from Greek kókkos, grain, seed), or rod-shaped
Bacteria
country. 22 September – Astronomers report the discovery of a nearby spherical structure, a 'superbubble', on the edges of which giant molecular clouds
2021_in_science
Device for controlled nuclear reactions
(e.g. LAMPRE) Gas fueled (theoretical) Cubical Cylindrical Octagonal Spherical Slab Annulus Electricity Nuclear power plants including small modular
Nuclear_reactor
Berthing mechanism used to connect ISS modules
explained by the as-yet unstable configuration of the Nodes, being shown as spherical 10-ports modules in some configurations, but cylindrical 3-port modules
Common_Berthing_Mechanism
Drug delivery via inhalation
nanoemulsions are examples. Liposomes are made up of phospholipids forming spherical vesicles. This property enables liposomes to exhibit high biocompatibility
Nose-to-brain drug delivery mechanism
Nose-to-brain_drug_delivery_mechanism
Polynomial sequence
to describe wavefront aberrations of the cornea or lens from an ideal spherical shape, which result in refraction errors. They are also commonly used
Zernike_polynomials
Unsolved problem in mathematics
Maass forms, the conjecture's counterpart for Maass forms is still an open problem, as the Deligne method which solves the holomorphic case does not work
Ramanujan–Petersson conjecture
Ramanujan–Petersson_conjecture
theorem for spherical functions (representation theory) Trombi–Varadarajan theorem (Lie group) Anderson's theorem (real analysis) Bernstein's theorem (functional
List_of_theorems
Formulation of quantum mechanics
quantum mechanics. In 1925 Werner Heisenberg was working in Göttingen on the problem of calculating the spectral lines of hydrogen. By May 1925 he began trying
Matrix_mechanics
farther from the nucleus with more energy; The "shape" of the orbital, spherical or otherwise; The "inclination" of the orbital, determining the magnetic
History_of_quantum_mechanics
Robotics with analogue circuits
achieve a goal. Miniballs: Shift their centre of mass, causing their spherical bodies to roll. Walkers: Robots that move using legs with differential
BEAM_robotics
density estimation Spectrum bias Spectrum continuation analysis Speed prior Spherical design Split normal distribution SPRT – redirects to Sequential probability
List_of_statistics_articles
wield the illegal Dáinsleif railgun weapon. All Graze variants feature a spherical sensor in the head, which can be deployed for more precise measurement
List of Mobile Suit Gundam: Iron-Blooded Orphans characters
List_of_Mobile_Suit_Gundam:_Iron-Blooded_Orphans_characters
Plant organelle that conducts photosynthesis
Plastoglobuli (singular plastoglobulus, sometimes spelled plastoglobule(s)), are spherical bubbles of lipids and proteins about 45–60 nanometers across. They are
Chloroplast
Type of surface-to-air missile
the two, the warhead seemed like the simplest problem to address. Like almost any thorny military problem of the 1950s, the solution was the application
Nike_Hercules
Chemical element with atomic number 79 (Au)
glass, which, like colloidal gold suspensions, contains evenly sized spherical gold nanoparticles. Gold, when dispersed in nanoparticles, can act as
Gold
Planetary system consisting of the Sun and objects orbiting it
Pedro H.; Bernstein, Gary M.; Montet, Benjamin T.; et al. (1 November 2021). "C/2014 UN 271 (Bernardinelli-Bernstein): The Nearly Spherical Cow of Comets"
Solar_System
History of maths
common examples include: ribbon categories, braided tensor categories, spherical categories, compact closed categories, symmetric tensor categories, modular
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Relationship between historic and biblical events
someone may ask: 'Is not Scripture opposed to those who hold that heaven is spherical, when it says, who stretches out heaven like a skin?' Let it be opposed
Historicity_of_the_Bible
American mathematician (1925-2006)
structure of the simplest type of black hole in general relativity. A spherically symmetric spacetime can be described by the Schwarzschild solution, which
Martin_David_Kruskal
UK atomic bomb development project
Operation Hurricane assemblies. Woolwich provided the supercharge, the spherical shell of explosive that encases the tamper. Test firings of explosive
High_Explosive_Research
Theorem in quantum mechanics
{\displaystyle \mathbb {R} ^{3}} is regular. This step makes use of the theory of spherical harmonics. Then, he proves that frame functions on R 3 {\displaystyle
Gleason's_theorem
Mathematics timeline
axioms as exemplary, by Hilbert's third problem as solved by Dehn, one of the actors, by Hilbert's fifteenth problem from the needs of 19th century geometry
Timeline_of_manifolds
vernacular writers interested in the physical shape of the earth held a spherical view with the exception of Lactantius and Cosmas. H. Floris Cohen argued
Relationship between science and religion
Relationship_between_science_and_religion
Corporate headquarters in Racine, Wisconsin
Jr. had made in 1935. Fortaleza Hall consists of a 60-foot-tall (18 m) spherical atrium with a disc-shaped roof. The facade is made of 85 glass panels
Johnson_Wax_Headquarters
epochal contributions during this phase of his career stemmed from a single problem, the fluctuations of a delicately suspended mirror inside a radiation cavity
List of scientific publications by Albert Einstein
List_of_scientific_publications_by_Albert_Einstein
Medium-range ballistic missile (MRBM)
and Impact Guidance: Inertial (Model ST-90) Nose Cone: 12.5-inch radius spherical tip, cone frustum, 65-inch base diameter The Saturn I and Saturn IB rockets
PGM-19_Jupiter
British effort to develop hydrogen bombs between 1952 and 1958
concentric spheres, with uranium-235 and lithium-6 deuteride shells. A spherical Dick was chosen in preference to a cylindrical one for ease of calculation;
British hydrogen bomb programme
British_hydrogen_bomb_programme
Graduate-level textbooks in mathematics
K. T.-R. McLaughlin, P. D. Miller 2007-01-22 184 978-0691127347 165 Spherical CR Geometry and Dehn Surgery Richard Evan Schwartz 2007-02-18 200 9780691128108
Annals_of_Mathematics_Studies
German-born British physicist (1907–1995)
used in the implosion-type nuclear weapon to focus an explosion onto a spherical shape. He sent regular reports to Chadwick, the head of the British Mission
Rudolf_Peierls
Structures in Queens, New York
mezzanine surrounds the main floor. This level has an asphalt floor, blue spherical lamps, steel railings along its inner and outer perimeters. Stairs lead
New_York_State_Pavilion
Hilbert's 13th problem, raised the ADE classification and Arnold's rouble problems Sergey Bernstein, developed the Bernstein polynomial, Bernstein's theorem
List_of_Russian_scientists
Season 5 of American television series
(Beef Carpaccio with Arugula Salad, Parmesan, Balsamic Vinaigrette & Spherical Olives) Eliminated: Jill (Ostrich Egg Quiche with Rice-Pecan Crust, Asparagus
Top_Chef:_New_York
Sound frequency changes responsible for perceptions of loudness, pitch and timbre
in the ventral cochlear nucleus. These synapses contact bushy cells (Spherical and globular) and faithfully transmit (or enhance) the temporal information
Temporal envelope and fine structure
Temporal_envelope_and_fine_structure
Type of probability distribution
haveℙ(|‖AX‖2−‖A‖F|>t)≤2e−ct2K4‖A‖2In words, the random vector AX is concentrated on a spherical shell of radius ‖A‖F, such that ‖AX‖2−‖A‖F is subgaussian, with subgaussian
Sub-Gaussian_distribution
History of chemical crystallography to 1895
theory, there were four key assertions: "matter is made up of roughly spherical atoms, which were indivisible and indestructible; all atoms of a given
Chemical crystallography before X-rays
Chemical_crystallography_before_X-rays
Hilbert's 13th problem, raised the ADE classification and Arnold's rouble problems Sergey Bernstein, developed the Bernstein polynomial, Bernstein's theorem
List_of_Russian_people
Dimensionality reduction of graph-based semantic data objects [machine learning task]
embedding to build a spheric space, and consequently loses the translation properties of the geometric space. To address this problem, TorusE leverages the
Knowledge_graph_embedding
Medical intervention
widespread adoption of this material. Marketed as "Coaptite", this is spherical particles of calcium hydroxylapatite ceramic suspended in a sodium
Perianal injectable bulking agent
Perianal_injectable_bulking_agent
Subfield of genetics devoted to the study of microorganisms
tree of life. The shapes of both bacteria and archaea cells vary from a spherical shape known as coccus or a rod-shape known as bacillus. They are also
Microbial_genetics
Species of archaeon
growing on sulfur or a variety of organic compounds. It usually has a spherical shape, with several lobes. It is the most widely-studied organism in the
Sulfolobus_solfataricus
History of crystallography to 1895
theory, there were four key assertions: "matter is made up of roughly spherical atoms, which were indivisible and indestructible; all atoms of a given
History of crystallography before X-rays
History_of_crystallography_before_X-rays
Month of 1958
considered briefly a minimum vehicle, spherical in shape, weighing about 3,000 pounds (1,400 kg); Goodyear, a spherical vehicle with a rearward facing tail
January_1958
travel, tourism, insurance
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Girl/Female
Muslim/Islamic
Away from all Problems
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
Boy/Male
Muslim
Problem solver
Surname or Lastname
English
English : habitational name from any of various places called Burston, in Buckinghamshire, Norfolk, and Staffordshire, which have different origins. The Buckinghamshire place name is from an Old English personal name Briddel + Old English þorn ‘thorn tree’; the place in Norfolk is named with Old English byrst ‘rough ground’, ‘landslip’ + tÅ«n ‘farmstead’; the Staffordshire place name has the same second element, the first being an Old English personal name Burgwine or Burgwulf.English : possibly from an unrecorded Old English personal name, BurgstÄn.Jewish (American) : Americanized spelling of Burstein (see Bernstein).
Girl/Female
Indian, Telugu
Destroyer of Problems
Girl/Female
Indian, Tamil
The Sun is the Star at the Centre of the Solar System; It is Almost Perfectly Spherical and Consists of Hot Plasma Interwoven with Magnetic Fields; Sun
Surname or Lastname
English
English : unexplained.Possibly an Americanized spelling of French Imbert or a translation of German and Jewish Bernstein, which means ‘amber’.Muslim (widespread throughout the Muslim world) : from the Arabic personal name ‛Anbar, literally ‘perfume’, ‘ambergris’, figuratively ‘good’, ‘pleasant’, ‘agreeable’.
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Boy/Male
Hindu, Indian
Problem
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
SPHERICAL BERNSTEINS-PROBLEM
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