AFFINE 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
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, under, 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, positive, 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
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
cylindrical, dimensional, 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
plane, space, group, deals, shown, leads, class, gives, based, shows, used
2: SU
fractal, scaling, transform, mapping, spaces, linear, motion, functions, models, function, theorem, structure, model, factor, lesson, modeling, engine, software, teacher, changes, concepts, problems, options, classes, using, problem, effects, models, model, data, questions
2: US
transforms, transform, allows, provides, consists, depends, requires, becomes, effects, alone, involved, remains, itself
3: SUU
linear, modeling, manager, processing
3: USU
projection, connection, dependent, requires, description
4: SUUU
illustrated
4: USUU
geometry, coordinates, parameter, parameters, parameter
4: UUSU
transformations, transformation, deformation, registration, calculations, definition
5: USUUU
associated
Surrounder Phrases
minkowski spacetime, metric, geometry, spacecoplanar waveguideconformal invariance, mappings, mapping, transformations, projection, transformationlobachevskian geometryschwarzschild spacetime, metricriemann invariants, surfaces, integral, spherepythagorean theorem, triangleparabolic reflector, antenna, mirror, approximation, cylinder, orbitriemannian manifold, metric, geometry, spacesnoncommutative geometrymultidimensional scalinginvariant subspaces, subspace, manifoldsymplectic manifold, geometry, matrixeuclidian geometry, distance, spacepiecewise affine, linear, cubicannular combustor, groove, aperture, ring, slot, illuminationeuclidean geometry, metric, distance, spaceepipolar geometry, plane, linecombinatorial optimization, optimisation, algorithmslaue diffraction, zoneturbine combustor, inlet, rotor, engines, impeller, blade, engine, nozzleaffine subspace, transformations, invariant, fractal, transformation, transforms, deformation, scaling, geometry, transform, coordinates, projectionbragg reflector, diffraction, scattering, reflection, anglediode lasers, laser, array, detectorarchimedean screw, spiraltopological invariants, invariant, spacescartesian coordinates, coordinateundeformed chip, configurationspherical indenter, coordinates, shell, reflector, geometry, polarcovalent bonding, bond, linkage, couplingsemiconductor lasers, diode, chip, laser, devicesrectilinear scanner, propagation, grid, motion, coordinatesplanar waveguide, truss, imaging, geometryorthogonal subspaces, curvilinear, subspace, projection, planes, coordinate, transformationswing planformcathode rayray diffractionelliptical orbit, reflectorconvex hull, lens, polygonal, lenses, mirror, optimizationconfocal resonator, scanning, laser, imaging, microscopiccommutative algebra, ringscanning confocal, probeimpeller vane, inlet, blade, tip, exitcompact discfractal geometry, scalingcurvilinear coordinates, coordinatecombustor inlet, exitparameters rollouthexagonal lattice, packing, array, crystal, gridprojective geometry, invariants, transformationsreflector antennacurved spacetime, surfacestoroidal coil, geometrycapillary wedge, tubeslab waveguiderectangular waveguide, coordinates, cartesian, grid, coordinatespacetime metric, manifold, geometry, coordinatesoctahedral coordination, geometry, sheetcrack propagation, tiplaser diode, beam, resonator, irradiation, scanner, scanninggroove welddimensional subspaces, subspace, euclidean, conformal, riemannian, spacetime, minkowskisynthetic aperturecosmic raypolar coordinates, covalentdistorted octahedral, tetrahedralorbital angularcylindrical coordinates, waveguide, shell, coordinate, lenses, lensarticular surfaces, disc, surfacepolygonal mesh, approximationgeometry optimizations, rolloutalgebraic invariants, equations, geometry, specificationnozzle orifice, exit, inlettetrahedral coordination, mesh, geometry, bondingdifferential equations, scanningcavity resonatorelliptic orbit, integral, geometry, cylinder, equationsindenter tipsymmetrical airfoilcrystal latticeasymmetric rotorpump impellersubspace orthogonal, projectionvoigt profileschematic representationhyperbolic geometry, orbitjunction diode, transistoroptical waveguide, fiber, fibre, parametric, resonatorwaveguide lasersjet engines, aircraft, nozzle, enginebackscattering geometrysteering gearchannel planformcubic latticefinite element, dimensionaltunnel diodeaxisymmetric jet, geometry, finiteorbit couplingrotor blade, windingapproximate riemannhelix bundle, anglemaps rolloutstripe lasersburner nozzle, flamevane pumpconstrained optimization, optimisationexit ramp, slitvalve orifice, stenosis, cuspcelestial spheremeander bendhelical coil, scan, gear, antenna, screw, groovecontact lensesconfined aquifertubular reactor, exchangermolecular orbitalspiral groove, ramplattice relaxation, parameter, planesfiber bragglinear algebra, subspaces, subspaceloop invariantsweld poolinlet manifold, valve, nozzle, vanecollision detectioninfinitesimal transformationscircular orbit, waveguide, cylinder, aperturelens aperturetruss rodsymmetric hyperbolic, matrixconical nozzlesketch padslit diffractiontriangular lattice, mesh, trussaxial compression, loadingfibre channel, braggring resonatorcusp tipcoaxial cylindricalkerr metricsimplified schematicmathematical modelling, theoremssettings dialogcascade lasersnonlinear algebraic, optical, optimizationgrain boundarycoordinate covalentstochastic optimization, differentialantenna reflector, aperturemold cavityoptimization algorithmspore spacesoptimisation algorithmsoptions dialogorifice plategeneralized coordinateslongitudinal axisarterial stenosiscamera lensanalytic geometryconstraints imposedparametric excitationduct orificebonding orbitalplane perpendicularmatrix algebraresonator cavitydependent variablesynergetic effectsturtle shellcomputational geometrycrosssectional imagingbone scanelectrode conductorwireframe modelsmask airwaysensor nodesfaraday discbeam irradiationbending magnetdemonstrative proofsscrew threadpixel coordinateshydraulic cylinderirregular polygonal