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Type of differential operator
of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition
Elliptic_operator
Differential operator in mathematics
semi-elliptic operator is a partial differential operator satisfying a positivity condition slightly weaker than that of being an elliptic operator.
Semi-elliptic_operator
Part of Fredholm theories in integral equations
winding number. Any elliptic operator on a closed manifold can be extended to a Fredholm operator. The use of Fredholm operators in partial differential
Fredholm_operator
Armenian scientist and mathematician (1958–2018)
v.142. pp. 8–18. Karapetyan G.A., Darbinyan A.A., Index of the semi-elliptic operator with variable coefficients of special type // Collection of Scientific
Garnik_A._Karapetyan
Dirichlet problem for the Laplace operator using Brownian motion. However, it turns out that for a large class of semi-elliptic second-order partial differential
Stochastic processes and boundary value problems
Stochastic_processes_and_boundary_value_problems
Invariant of closed manifolds, in mathematics
showed that the Kervaire semi-characteristic of a differentiable manifold is given by the index of a skew-adjoint elliptic operator. Assuming M is oriented
Kervaire_semi-characteristic
is proved using integration by parts. These operators are elliptic although in general elliptic operators may not be non-negative. They are however bounded
Friedrichs_extension
1995 publication in mathematics
mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides a proof for Fermat's
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
Mathematical tool in quantum physics
_{ij})} be a positive semi-definite operator, see below. A density operator is a positive semi-definite, self-adjoint operator of trace one acting on
Density_matrix
of the group, by showing that on these elements it is a solution of an elliptic differential equation. The problem is that it may have singularities on
Harish-Chandra's regularity theorem
Harish-Chandra's_regularity_theorem
Type of differential equation
applicable to semi- and quasilinear PDEs as well. The basic types also extend to hybrids such as the Euler–Tricomi equation; varying from elliptic to hyperbolic
Partial_differential_equation
theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be phrased in terms of unbounded operators affiliated
Affiliated_operator
Monster and modular connection
far-fetched." The monstrous moonshine is now known to be underlain by a vertex operator algebra called the moonshine module (or monster vertex algebra) constructed
Monstrous_moonshine
Medium/Heavy truck
(6×6) Transmission 6-speed manual (4×4) 8-speed manual (6×6) Suspension Semi elliptic multi leaf spring with Double acting telescopic shock absorber at Front
Ashok_Leyland_FAT
Earth-centered orbit above low Earth orbit and below geostationary orbit
velocity Geostationary Earth orbit (GEO) High Earth orbit (HEO) Highly elliptical orbit (HEO) Graveyard orbit International Space Station List of orbits
Medium_Earth_orbit
Armoured personnel carrier
aspirated 102 hp (76KW) at 3500 rpm Power/weight 20.4 hp/ton Suspension Semi-elliptic laminated leaf spring Operational range 900 km Maximum speed 107 km/h
Nimer-1
Topics referred to by the same term
constraints in Hamiltonian mechanics Regularity of an elliptic operator Regularity theory of elliptic partial differential equations Regular algebra, or
Regular
Simply connected Riemann surface is equivalent to an open disk, complex plane, or sphere
q dy) = −q dx + p dy. Let ∆ = ∗d∗d be the Laplace–Beltrami operator. By standard elliptic theory, u can be chosen to be harmonic near a given point, i
Uniformization_theorem
Indian single-deck bus chassis manufactured by Tata Motors
power-assisted steering Brakes: Full air, dual circuit, S-cam type Suspension: Semi-elliptical leaf springs with telescopic shock absorbers The chassis is supplied
Tata_1510/1512
Algebra describing 2D conformal symmetry
46–63. doi:10.1007/BF01078026. S2CID 55989582. Rabin, J. M. (1995). "Super elliptic curves". Journal of Geometry and Physics. 15 (3): 252–280. arXiv:hep-th/9302105
Virasoro_algebra
Transfer orbit used to reach geosynchronous or geostationary orbit
geostationary transfer orbit (GTO) or geosynchronous transfer orbit is a highly elliptical type of geocentric orbit, usually with a perigee as low as low Earth orbit
Geostationary_transfer_orbit
American mathematician
Nelson, Edward; Stinespring, W. Forrest (1959). "Representation of Elliptic Operators in an Enveloping Algebra". American Journal of Mathematics. 81 (3):
W._Forrest_Stinespring
Kind of planetary orbit
approach, the launch vehicle places the satellite into a supersynchronous elliptical transfer orbit, an orbit with a somewhat larger apogee than the more typical
Supersynchronous_orbit
Orbit keeping the satellite at a fixed longitude above the equator
orbits have eccentric or inclined orbits. Eccentricity makes the orbit elliptical and appear to oscillate east–west in the sky from the viewpoint of a ground
Geosynchronous_orbit
Concept in mathematics
invariants on the corresponding space of operators. The quadratic Casimir operator corresponds to an elliptic operator. If the Lie algebra acts on a differentiable
Universal_enveloping_algebra
Concept in mathematics
Goodman, since vectors in the image of a heat operator e–tD, corresponding to an elliptic differential operator D in the universal enveloping algebra of G
Unitary_representation
Sum of elements on the main diagonal
the trace of a linear operator mapping a finite-dimensional vector space into itself, since all matrices describing such an operator with respect to a basis
Trace_(linear_algebra)
Type of vector space in math
296. Atiyah, Michael F.; Singer, Isadore M. (1968), "The Index of Elliptic Operators I", Annals of Mathematics, 87 (3): 484–530, doi:10.2307/1970715, JSTOR 1970715
Hilbert_space
Spacecraft end-of-life orbit
reliable attitude control during the transfer maneuver. While most satellite operators plan to perform such a maneuver at the end of their satellites' operational
Graveyard_orbit
Solution to partial differential equation
Fleming and Soner's book or the definition using semi-jets in the Users Guide. Degenerate elliptic An equation F ( x , u , D u , D 2 u ) = 0 {\displaystyle
Viscosity_solution
American reconnaissance satellite
LC-41 Orbital parameters Reference system Geocentric Regime Highly Elliptical Semi-major axis 117,689 kilometres (73,129 mi) Perigee altitude 29,122.4
Vela_5A
Smallest normal group containing a set
Diffeomorphism Loop Infinite dimensional Lie group O(∞) SU(∞) Sp(∞) Algebraic groups Linear algebraic group Reductive group Abelian variety Elliptic curve v t e
Normal_closure_(group_theory)
Special function occurring in problems possessing elliptic symmetry
partial differential equation (PDE) boundary value problems possessing elliptic symmetry. In some usages, Mathieu function refers to solutions of the Mathieu
Mathieu_function
Unbounded quadric surface
right-hand side of the equation): a two-sheet hyperboloid, also called an elliptic hyperboloid. The surface has two connected components and a positive Gaussian
Hyperboloid
Orbital plane that is tipped away from the equator
forwards and backwards along the equator. If the orbit is both inclined and elliptical, the satellite will trace out a small figure-eight shape in the sky. A
Inclined_orbit
Subfield of convex optimization
tensegrity graphs, and arise in control theory as LMIs, and in inverse elliptic coefficient problems as convex, non-linear, semidefiniteness constraints
Semidefinite_programming
Number in {..., –2, –1, 0, 1, 2, ...}
Diffeomorphism Loop Infinite dimensional Lie group O(∞) SU(∞) Sp(∞) Algebraic groups Linear algebraic group Reductive group Abelian variety Elliptic curve v t e
Integer
Polish airliner prototype
covered (with Alclad sheet). Fuselage semi-monocoque. Crew cockpit in front with a crew of 4: two pilots, radio operator and a mechanic. Passenger cab with
PZL.44_Wicher
Time period during which a rocket must launch to reach its target
and then converted to the local time of where the rocket and spacecraft operators are located (frequently multiple time zones for USA launches). For trips
Launch_window
Italian medium tank of World War II
980 cc V8 water cooled 192 hp/2,400 rpm Suspension Two 4 wheel bogies, semi-elliptic leaf spring Operational range 200 kilometres (120 miles) Maximum speed
M15/42_tank
Conjecture on zeros of the zeta function
examples of zeta functions with multiple zeros are the L-functions of some elliptic curves: these can have multiple zeros at the real point of their critical
Riemann_hypothesis
US Military Vehicle
(8.64 t) (M5A1). It had vertical volute springs for the tracks and semi-elliptical longitudinal leaf springs for the wheels. It was powered by a 142 hp
M5_half-track
French mathematician (born 1948)
Riemannian manifold. This operator interpolates formally between the classical elliptic Laplacian on the base and the generator of the geodesic flow. One striking
Jean-Michel_Bismut
American heavy tank
American design philosophy, the M103 was built with a two-piece, cast elliptic armor scheme, similar to the M48's design. It featured seven road wheels
M103_heavy_tank
Australian mathematician (born 1945)
the Łojasiewicz inequality, using the standard Fredholm theory of elliptic operators and Lyapunov-Schmidt reduction. The resulting Łojasiewicz−Simon inequalities
Leon_Simon
Brazilian armored military vehicle
Its front and rear beam axles are fitted with the more conventional semi-elliptical leaf springs, as well as hydraulic shock absorbers. The axles also
EE-3_Jararaca
Change in sea level due to gravity
rotational axis, the inclination of the plane of the lunar orbit and the elliptical shape of the Earth's orbit of the Sun. Shallow-water constituents include
Tide
Topological invariant of manifolds that can distinguish homotopy-equivalent manifolds
\partial M=0} , the Laplacian is then a symmetric positive semi-positive elliptic operator with pure point spectrum 0 ≤ λ 0 ≤ λ 1 ≤ ⋯ → ∞ . {\displaystyle
Analytic_torsion
American second generation main battle tank
combat engineering vehicles. As of 2015,[update] Egypt is the largest operator with 1,716 upgraded M60A3s, Turkey is second with 866 upgraded units including
M60_tank
Medical procedures that involve incisive or invasive instruments into body cavities
Most surgical procedures are performed by a pair of operators: a surgeon who is the main operator performing the surgery, and a surgical assistant who
Surgery
Canadian-American mathematician (1931–2022)
Retrieved 2022-02-08. Trotter, H. F. (1959). "On the product of semi-groups of operators". Proceedings of the American Mathematical Society. 10 (4): 545–551
Hale_Trotter
Type of mathematical object
an elliptic curve) has a unique group scheme structure with that point as the identity. Unlike the previous positive-dimensional examples, elliptic curves
Group_scheme
Motor vehicle
live rear axle. Steering was by worm and wheel. Suspension was by half-elliptic springs all round mounted on silent-bloc bushes and damped by frictional
Austin_10
Betty seek some psychiatric help with an adult psychiatrist, but Betty elliptically convinces Dr. Edna to continue reserving time for Betty to "discuss Sally's
List_of_Mad_Men_characters
Mathematical space with a notion of distance
constant, so isometries are implicit. This method provides models for elliptic geometry and hyperbolic geometry, and Felix Klein, in several publications
Metric_space
American exported military cargo vehicle
frame with three beam axles, the front on semi elliptical leaf springs, the rear tandem on quarter elliptical leaf springs with locating arms. There were
Studebaker US6 2½-ton 6×6 truck
Studebaker_US6_2½-ton_6×6_truck
Planned spaceflight mission
2028 for launch. As an alternative plan, the spacecraft could meet in an elliptical polar orbit with coplanar lines of apsides and dock. This orbit has a
Artemis_IV
Medium tank
8 TB M41 11,980 cc V8 diesel 145 hp (108 kW) at 1,900 rpm Suspension Semi-elliptic leaf springs Ground clearance 41 cm (16 in) Operational range 200 km
M14/41_tank
Italian World War II medium tank
rear and transmission at the front. The driver and machine-gunner/radio operator were in the hull, with the commander/gunner and the loader in the turret
M13/40_tank
Method for constructing existence proofs and calculating solutions in variational calculus
ISBN 978-3-540-69915-6. Jindřich Nečas: Direct Methods in the Theory of Elliptic Equations. (Transl. from French original 1967 by A.Kufner and G.Tronel)
Direct method in the calculus of variations
Direct_method_in_the_calculus_of_variations
Property in physics
ones where one semi axes is infinite (the elliptical and circular cylinder) and the unbounded sheet where two semi axes are infinite. All these shapes are
Specific_potential_energy
Mathematical model of the time dependence of a point in space
eigenvalues are on the unit circle and complex, the dynamics is called elliptic. In the hyperbolic case, the Hartman–Grobman theorem gives the conditions
Dynamical_system
US military vehicle
Cold War era, the vehicle was used by a variety of state and non-state operators in conflicts in South America, the Middle East, Africa, and Asia, remaining
M3_half-track
Doubling map on the unit interval
the continued fractions.) This then leads elegantly into the theory of elliptic equations and modular forms. The Hamiltonian of the zero-field one-dimensional
Dyadic_transformation
Italian medium tank in World War II
(78 kW) Power/weight 9.5 hp (7.1 kW)/tonne Suspension Two 4 wheel bogies, semi-elliptic leaf spring Operational range 200 km (120 mi) Maximum speed 32.2 km/h
M11/39_tank
First artificial Earth satellite
Sputnik, was the first artificial Earth satellite. It was launched into an elliptical low Earth orbit by the Soviet Union on 4 October 1957 as part of the Soviet
Sputnik_1
Generalization of a positive-definite matrix
In operator theory, a branch of mathematics, a positive-definite kernel is a generalization of a positive-definite function or a positive-definite matrix
Positive-definite_kernel
Sporadic simple group
which the Thompson group acts on a vertex operator algebra over the field with 3 elements. This vertex operator algebra contains the E8 Lie algebra over
Thompson_sporadic_group
Chinese-American mathematician (born 1949)
Calabi, Jürgen Moser, and Aleksei Pogorelov, developed for quasilinear elliptic partial differential equations and the real Monge–Ampère equation, to the
Shing-Tung_Yau
Fundamental study of potential theory
ones where one semi axes is infinite (the elliptical and circular cylinder) and the unbounded sheet where two semi axes are infinite. All these shapes are
Gravitational_potential
Algebraic group Banach–Tarski paradox Category of groups Dimensional analysis Elliptic curve Galois group Gell-Mann matrices Group object Hilbert space Integer
List_of_group_theory_topics
Motor vehicle
with three live beam axles, the front on semi elliptical leaf springs, the rear tandem on quarter elliptical leaf springs with locating arms. Wheelbase
ZIS-151
American assault rifle
heavy barrel, improved handguard, pistol grip, and buttstock, as well as a semi-auto and three-round burst fire selector. Adopted in July 1997, the M16A4
M16_rifle
English film director and cinematographer (1928–2018)
department, at Marylebone Studios in London. For a time, he worked as a camera operator on a number of film productions, including The Sundowners and The Trials
Nicolas_Roeg
Elements taken to zero by a homomorphism
kernel of a linear map). If D {\displaystyle D} represents the derivative operator on real polynomials, then the kernel of D {\displaystyle D} will consist
Kernel_(algebra)
Commutative group (mathematics)
Diffeomorphism Loop Infinite dimensional Lie group O(∞) SU(∞) Sp(∞) Algebraic groups Linear algebraic group Reductive group Abelian variety Elliptic curve v t e
Abelian_group
2026 crewed flyby of the Moon
where the crew conducted system checkouts. Orion operated in a highly elliptical, high Earth orbit with a period of roughly 24 hours, allowing extended
Artemis_II
Number divisible only by 1 and itself
affect its final answer, such as some variations of elliptic curve primality proving. When the elliptic curve method concludes that a number is prime, it
Prime_number
Family of airborne radars
components of slightly larger Grifo-M3 radar, with the exception of its own elliptical antenna, which is unique to the space confinement of F-5. Grifo-F has
Grifo_radar
Italian fighter aircraft during WWII
aerodynamic efficiency. Distinctive features of the aircraft included its semi-elliptical wings, lengthy nose and large tail unit; it was also the only Italian
Reggiane_Re.2005_Sagittario
American surface-to-air missile family
improved over Nike through the adoption of new radars and a continuous wave semi-active radar homing guidance system. It entered service with the US Army
MIM-23_Hawk
Cryptographic protocols for securing data in transit
during the session, or uses Diffie–Hellman key exchange (or its variant elliptic-curve DH) to securely generate a random and unique session key for encryption
Transport_Layer_Security
Skyscraper in Manhattan, New York
ground level, the building's northern prow is cantilevered from a pair of elliptical girders, while the southwest and southeast corners contain diagonal floor
Flatiron_Building
Italian self-propelled gun of World War Two
vehicle, and the crew consisted of only three members: driver, loader/radio operator, and tank commander/gunner. The main gun was a derivative of a 75 mm L/18
Semovente_da_75/18
248-dimensional exceptional simple Lie group
{e}}_{6}} , together with the 27 and 27 representations and the grade operator (the element of the Cartan subalgebra with weight -1 on the 27, +1 on the
E8_(mathematics)
1990 short story collection by Tim O'Brien
It was published by Houghton Mifflin in 1990. Many of the characters are semi-autobiographical, sharing similarities with figures from his memoir If I
The_Things_They_Carried
United States airline (1927–1991)
building at John F. Kennedy Airport in New York. It was distinguished by its elliptical, four-acre (16,000 m2) roof, suspended far from the outside columns of
Pan_Am
Uncontrolled fire in forests or open spaces
popularity in recent years as a possible resolution to human operator error. These systems may be semi- or fully automated and employ systems based on the risk
Wildfire
2025 film by Anthony and Joe Russo
review describing the plot of the novel, highlighting how "the book is elliptical in narrative, muted in color palette and melancholy in mood" whereas the
The_Electric_State_(film)
Vector used in astronomy
four-dimensional coordinates η {\displaystyle {\boldsymbol {\eta }}} in favor of elliptic cylindrical coordinates (χ, ψ, φ) η w = cn χ cn ψ , η x = sn χ dn
Laplace–Runge–Lenz_vector
Type of aircraft
Cesare Pallavicino and Norberto L. Morchio. The fuselage was semi-monocoque with an elliptical cross-section housing a single Rolls-Royce Derwent 5 engine
FMA_I.Ae._27_Pulqui_I
1956 Soviet fighter aircraft family
the ailerons there are small wing fences. The fuselage is semi-monocoque with an elliptical profile and a maximum width of 1.24 m (4 ft 1 in). The air
Mikoyan-Gurevich_MiG-21
Generalized function whose value is zero everywhere except at zero
as fundamental solutions or Green's functions to physically motivated elliptic or parabolic partial differential equations. In the context of applied
Dirac_delta_function
Imperial Japanese carrier-borne dive bomber
(IJN) as a replacement for its D1A biplane. The designers opted for an elliptical wing configuration as well as for fixed landing gear. In January 1938
Aichi_D3A
Type of group and algebra representation
the 1940s to give modular representation theory, in which the matrix operators act on a vector space over a field K {\displaystyle K} of arbitrary characteristic
Irreducible_representation
Subspecies of flowering plant
and dark grey to brown. Leaves are clustered at branch ends, oblong to elliptic in shape, and typically 15–25 cm (5.9–9.8 in) long. The subspecies is morphologically
Vitellaria paradoxa subsp. nilotica
Vitellaria_paradoxa_subsp._nilotica
d'après Demuškin (profinite groups) Michael F. Atiyah, The index of elliptic operators on compact manifolds (index theorem) Mohamed S. Baouendi, Les opérateurs
Séminaire Nicolas Bourbaki (1960–1969)
Séminaire_Nicolas_Bourbaki_(1960–1969)
British single-seat WWII fighter aircraft
speed range. In 1934, Mitchell and the design staff decided to use a semi-elliptical wing shape to solve two conflicting requirements; the wing needed to
Supermarine_Spitfire
(2019). Numerical Evaluation of Elliptic Functions, Elliptic Integrals and Modular Forms. In Elliptic Integrals, Elliptic Functions and Modular Forms in
Validated_numerics
metal construction, with inverted gull wings. Its wing was thick and semi-elliptical, and its tail was mounted high on the fuselage. It had retractable
Piaggio_P.16
SEMI ELLIPTIC-OPERATOR
SEMI ELLIPTIC-OPERATOR
Boy/Male
Hindu
Dasaratha, Another name of dashratha, (Lord ramas father
Female
Japanese
(1-æµç¾Ž, 2-絵美) Japanese name EMI means 1) "beautiful blessing" or 2) "beautiful picture."
Boy/Male
English French
Abbreviation of Remington.
Girl/Female
Hindu
Limit
Boy/Male
Indian
Eminent, Exalted, High, Sublime, Similar
Female
English
English short form of Latin Demetria, DEMI means "loves the earth" or "follower of Demeter."Â
Boy/Male
Finnish, German
God will Increase
Boy/Male
Hindu
Demi God
Girl/Female
Egyptian
Love.
Girl/Female
Hindu
Oarsman
Girl/Female
Hindu
Boy/Male
Bengali, Hindu, Indian, Malayalam, Marathi
A Semi Divine Bird
Male
Finnish
Finnish pet form of Greek Sebastianos, SEPI means "from Sebaste," a town in Asia Minor.Â
Girl/Female
American, Gujarati, Indian, Japanese
The Hokan Language of the Seri
Boy/Male
Tamil
Demi God
Girl/Female
English American
Abbreviation of Demetria - the mythological goddess of corn and harvest.
Girl/Female
Biblical
Hearing, obeying.
Girl/Female
Hindu
Friendly
Boy/Male
Arabic
All hearing.
Male
Hungarian
 Pet form of Hungarian Sámuel, SAMI means "heard of God," "his name is El," or "name of God." Compare with another form of Sami.
SEMI ELLIPTIC-OPERATOR
SEMI ELLIPTIC-OPERATOR
Boy/Male
Hindu, Indian, Malayalam, Marathi, Telugu
Mantras in Low Tone
Boy/Male
Hindu, Indian, Punjabi, Sikh, Traditional
Lord Shiva
Girl/Female
Indian, Sikh
Most Gracious
Girl/Female
Arabic, Muslim
Success
Girl/Female
Tamil
A beauty by its blue reflection
Boy/Male
Muslim
Slave of the firm, Servant of the strong (Allah)
Surname or Lastname
English
English : habitational name from Arrington, a place in Cambridgeshire, named from an Old English byname, Earn(a), meaning ‘eagle’ + -inga- ‘people or followers of’ + tūn ‘settlement’.English : variant of Harrington.
Boy/Male
Muslim
Spokesman of religion
Girl/Female
American, Arabic, British, Chinese, Christian, English, Greek, Hebrew, Indian, Jamaican
From Kay and Lee; Beloved; Variant of Kay and Kayla; Keeper of the Keys; Like God; Slender; Pasture
Female
Scottish
 Scottish form of English Jenny, JINNY means "white and smooth."
SEMI ELLIPTIC-OPERATOR
SEMI ELLIPTIC-OPERATOR
SEMI ELLIPTIC-OPERATOR
SEMI ELLIPTIC-OPERATOR
SEMI ELLIPTIC-OPERATOR
a.
Same as Seme.
n.
Half relief. See Demi-rilievo.
a.
A great circle of the celestial sphere, making an angle with the equinoctial of about 23¡ 28'. It is the apparent path of the sun, or the real path of the earth as seen from the sun.
n.
The doctrines or tenets of the Semi-Pelagians.
a.
Containing saccharine matter; marked by saccharine secretions; as, mellitic diabetes.
a.
Of or pertaining to the Semi-Pelagians, or their tenets.
a.
Having a part omitted; as, an elliptical phrase.
n.
Omission. See Ellipsis.
a.
Pertaining to an eclipse or to eclipses.
a.
Of or pertaining to Semi-Arianism.
a.
A great circle drawn on a terrestrial globe, making an angle of 23¡ 28' with the equator; -- used for illustrating and solving astronomical problems.
pl.
of Ellipsis
n.
The doctrines or tenets of the Semi-Arians.
a.
See Mellitic.
a.
Pertaining to the ecliptic; as, the ecliptic way.
a.
Having a form intermediate between elliptic and lanceolate.
a.
Alt. of Elliptical
n.
The twelfth part of the ecliptic or zodiac.
a.
Broadly elliptical.