RIEMANNIAN GEOMETRY

Before
1: S
stripe, slab, pore, plane, notch, weld, cad, fin, beam, coil, mesh, crack, blade, screw, curved, plate, pure, fault, probe, disk, tip, fold, sketch, grid, greek, slope, tube, wake, shell, tank, ring, flat, wing, fixed, strict, track, joint, flow, hole, cell, scene, sheet, bone, pair, shaped, bond, zone, grain, core, die, hand, space, field, edge, frame, school, teach
2: SU
nozzle, turtle, solid, viewing, sacred, channel, metric, steering, bonding, inlet, lattice, packing, basin, fracture, feature, complex, simple, fiber, chamber, spatial, finite, rigid, surface, edit, counting, abstract, quantum, layout, vessel, linear, distance, sample, crystal, cluster, vector, boundary, basic, camera, contact, actual, target, profile, engine, bearing, angle, studied, teaching, model, perfect, column
2: US
deformed, discrete, complex, device, constrained, array, abstract, precise, exact, ideal, reverse, confined, desired, detailed, preferred, perfect, correct
3: SUU
spherical, specimen, optimized, ordinate, scattering, sectional, metrical, orbital, variable, imaging, cavity, simplified, optimum, cylinder, reservoir, circular, integral, satellite, classical, linear, particle, structural, optical, practical, overall, boundary, optimal, measurement, camera, studying, actual, incidence, parallel, varying, regular, physical, element, specified
3: USU
descriptive, cartesian, hydraulic, electrode, detector, diffraction, idealized, symmetric, synthetic, suspension, intrinsic, transmission, projection, reflection, receiver, dynamic, atomic, encounter, desired, internal, component, initial
3: UUS
idealized
4: SUUU
variable, arbitrary, complicated, ordinary
4: USUU
dimensional, cylindrical, coordinate, pyramidal, dimensional, molecular, idealized, rectangular, irregular, identical
4: UUSU
algebraic, analytic, differential, elementary, equilibrium, underlying, acquisition, transformation
5: UUSUU
computational, analytical, elementary, equilibrium
5: UUUSU
coordination, experimental
After
1: S
space, deals, shown, leads, class, gives, based, shows, used
2: SU
metric, spaces, theorem, factor, lesson, modeling, engine, software, teacher, changes, concepts, problems, options, classes, using, problem, effects, models, model, data, questions
2: US
allows, provides, consists, depends, requires, becomes, effects, alone, involved, remains, itself
3: SUU
manifold, modeling, manager, processing
3: USU
dependent, requires, description
4: SUUU
illustrated
4: USUU
geometry, parameters, parameter
4: UUSU
calculations, definition
5: USUUU
associated
Surrounder Phrases
riemannian manifolds, manifold, metric, geometry, metrics, spacesminkowski spacetime, metric, geometry, spacecoplanar waveguide, transmissionlobachevskian geometryschwarzschild spacetime, metricpythagorean theorem, triangleparabolic reflector, antenna, mirror, approximation, cylinder, orbitnoncommutative geometrycoaxial cable, cylindricalsymplectic manifold, geometryeuclidian geometry, distance, spaceeuclidean geometries, geometry, metric, distance, spaceannular combustor, groove, aperture, ring, slot, illuminationepipolar geometry, planecombinatorial optimization, optimisation, algorithmslaue diffraction, zoneturbine combustor, inlet, rotor, engines, impeller, blade, engine, nozzlebragg reflector, diffraction, scattering, reflection, anglediode lasers, laser, array, detectorarchimedean screw, spiralundeformed chip, configurationspherical indenter, shell, reflector, geometry, polar, geometriescovalent bonding, bond, linkage, couplingsemiconductor lasers, diode, chip, laser, devicesrectilinear scanner, propagation, gridplanar waveguide, truss, geometries, imaging, geometry, transistorwing planformcathode rayray diffraction, emission, tubeelliptical orbit, reflectorconvex hull, lens, polygonal, lenses, mirror, curvature, optimizationconfocal resonator, scanning, laser, imaging, microscopiccommutative algebra, ringscanning confocal, probeimpeller vane, inlet, blade, tip, exitcompact disc, diskfractal geometrycombustor inlet, exitparameters rolloutaffine fractal, transformation, deformation, geometry, projectionorthogonal curvilinear, projection, coordinatecartesian coordinate, gridhexagonal lattice, packing, array, crystal, grid, meshprojective geometryreflector antennaspacetime curvature, metric, manifold, geometryriemann curvature, integral, spherecurved spacetime, bladetoroidal coil, geometry, fieldcapillary wedge, tubeslab waveguiderectangular waveguide, cartesian, grid, coordinateoctahedral coordination, geometry, sheet, crystalcrack propagation, tiplaser diode, beam, resonator, irradiation, scanner, scanninggroove weldoptimized geometriessynthetic aperture, fibrecosmic raydistorted octahedral, tetrahedralcurvilinear coordinateorbital angularpolygonal mesh, approximationgeometry optimizations, rolloutnozzle orifice, exit, inlettetrahedral coordination, mesh, geometry, bondingdifferential equations, scanningcavity resonatorpolar covalent, cuspelliptic orbit, integral, geometry, cylinder, equationsalgebraic equations, geometry, specificationindenter tipsymmetrical airfoilcrystal latticeasymmetric rotorpump impellervoigt profileschematic representationhyperbolic geometry, orbitjunction diode, transistoroptical waveguide, fiber, fibre, parametric, resonator, pumpingconformal projection, transformationwaveguide lasersjet engines, aircraft, nozzle, enginearticular disc, surface, fracturebackscattering geometrysteering geardimensional manifolds, euclidean, conformal, riemannian, spacetime, minkowski, arraychannel planformcubic latticefinite element, dimensionaltunnel diodeaxisymmetric jet, geometry, finiteorbit couplingrotor blade, windingapproximate riemannhelix bundle, angle, axisstripe lasersburner nozzle, flamevane pumpconstrained optimization, optimisationexit ramp, slitvalve orifice, stenosis, cuspcelestial spheremeander bendhelical coil, scan, gear, antenna, screw, groove, scanningcontact lensesconfined aquifertubular reactor, exchangermolecular orbitalspiral groove, ramplattice relaxation, parameterfiber bragglinear algebraweld poolbed combustorinlet manifold, valve, nozzle, vanecollision detectioncircular orbit, waveguide, cylinder, aperturelens aperture, implanttruss rodsymmetric hyperbolicconical nozzle, intersectionsketch padslit diffractiontriangular lattice, mesh, trussaxial compression, loadingfibre channel, braggring resonatorcusp tipkerr metriccylindrical waveguide, shell, coordinate, geometries, lenses, lens, geometrysimplified schematicmathematical modelling, theorems, modelingsettings dialogcascade lasersnonlinear algebraic, optical, optimization, elliptic, hyperbolicgrain boundarycoordinate covalentstochastic optimization, differential, simulationantenna reflector, aperturemold cavityoptimization algorithmspore spacesoptimisation algorithmsoptions dialogorifice platelongitudinal axisarterial stenosiscamera lensanalytic geometrytopological spacesconstraints imposedparametric excitationduct orificebonding orbitalplane perpendicularresonator cavitydependent variablesynergetic effectsturtle shellcomputational geometrycrosssectional imagingspecimen geometriesbone scanelectrode conductorwireframe modelsmask airwaysensor nodesfaraday discbeam irradiationbending magnetdemonstrative proofsscrew threadhydraulic cylinderirregular polygonaldiscrete ordinateelementary schoolflat spacetimedrill holewedge shapedflame propagationlayout tabdigital camerainfinite dimensionalsoftware packageaxis perpendicularloading ramp