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MitM
models
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a60a87ac
Commit
a60a87ac
authored
7 years ago
by
Freifrau von Bleifrei
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some more textual thoughts
parent
c65ebc67
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source/mmt/poisson.mmt
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source/mmt/poisson.mmt
source/thermistor/quantities.mmt
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source/thermistor/quantities.mmt
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source/mmt/poisson.mmt
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a60a87ac
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@@ -12,7 +12,12 @@ theory PoissonEquation : top:?Base =
include mitm:/smglom/arithmetics?realarith
// TODO f, k and t as functions that are defined on Ω and return values of arbitrary QE on Ω
f : Ω → QE // needs to be 2 times derivable in Ω but is usually determined to be that was
u : Ω → QE // additionally needs to be integrable => metricspaces?
// the dimensions in which we derive (dx) as (subspace of) space where omega lies => probably implicitly by definition of f
// general form of PE: usually f is unknown and needs to be solved for
poisson_equation : {} = <prop | [p] ⊦ ∃f ∃t p= ( d( k*(df/dx))/dx = t) >
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source/thermistor/quantities.mmt
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@@ -137,7 +137,7 @@ theory SpatialTemperature : top:?Base =
include ?DeviceGeometry
/T Spatial variation of the potential,
usually denoted by $φ$.
potential : Ω → (QE
SIt
emperature) # T
potential : Ω → (QE
T
emperature) # T
theory ReferenceTemperature : top:?Base =
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