manifolds
Multi-branched fluid channels
Manifolds is the plural of manifold, a word that emphasizes multiplicity and variety.
As a noun, a manifold is a pipe or chamber with multiple openings—an engine's intake or exhaust manifold distributes gases to or from cylinders.
In mathematics, a manifold is a space that locally resembles ordinary flat space but may have complex global structure.
The adjective manifold means many and various: The benefits of exercise are manifold.
Without roughness or difficulty
- differentiableHaving a derivative
- tangentLine touching curve once
- curvatureDeviation from flatness
- geodesicShortest curved-surface path
metric · tensor · chart · atlas · coordinate · vector field · cotangent · contact
Merged dimensional framework
- general relativityGravity as curved spacetime
- cosmologyStudy of universal structure
- string theoryFilament-based particle framework
- field theoryStudy of spatial phenomena
extra dimensions · holographic · quantum gravity · black hole · wormhole · geodesic · curvature
Amount received or consumed
- exhaustUse up entirely
- turbochargerExhaust-powered engine booster
- intercoolerHeat exchanger for compressed air
- engineMachine producing motion
automotive · HVAC · plenum · ductwork · distribution · airflow · header · pipework
State of being compressed
- connectednessState of being linked
- coveringsThings that enclose surfaces
- triangulationLocation via three points
- boundaryLine marking a limit
embedding · immersion · submersion · genus · surgery
State of being diverse
- analyticExamining by decomposition
- complexHaving many interconnected parts
- sheafBound bundle of stalks
- homologyStructural similarity through descent
singularity · resolution · projective · divisor · moduli · intersection · dimension
Without depth or complexity
- two-dimensionalHaving only two axes
- three-dimensionalHaving volume and depth
- four-dimensionalHaving four axes
- curveSmooth, angleless line
smooth
Without roughness or difficulty
- differentiableHaving a derivative
- tangentLine touching curve once
- curvatureDeviation from flatness
geodesic · metric · tensor · chart · atlas · coordinate · vector field · cotangent · contact · foliation
spacetime
Merged dimensional framework
- general relativityGravity as curved spacetime
- cosmologyStudy of universal structure
- string theoryFilament-based particle framework
field theory · extra dimensions · holographic · quantum gravity · black hole · wormhole · geodesic · curvature
intake
Amount received or consumed
- exhaustUse up entirely
- turbochargerExhaust-powered engine booster
- intercoolerHeat exchanger for compressed air
engine · automotive · HVAC · plenum · ductwork · distribution · airflow · header · pipework · fluids
compactness
State of being compressed
- connectednessState of being linked
- coveringsThings that enclose surfaces
- triangulationLocation via three points
boundary · embedding · immersion · submersion · genus · surgery
variety
State of being diverse
- analyticExamining by decomposition
- complexHaving many interconnected parts
- sheafBound bundle of stalks
homology · singularity · resolution · projective · divisor · moduli · intersection · dimension
one-dimensional
Without depth or complexity
- two-dimensionalHaving only two axes
- three-dimensionalHaving volume and depth
- four-dimensionalHaving four axes
- junkyardsjunk cars, wrecked cars, totaled cars, abandoned cars, car bodies
- fluid systemspumps, valves, pipes, hydraulic systems, fluid flow
- topologycompactness, neighborhoods, torus, connectedness, tori
- fluid powerhydraulic ram, hydraulic pumps, hydraulic fluid, hydraulic oil, cylinders
- heating systemsboiler, radiator valves, gas burners, pilot lights, radiator
- oil terminal partsstorage tanks, pipelines, tank farms, loading docks, jetties
- exhaust manifoldEngine's waste gas collector
- intake manifoldAir distribution component