Reiseplanung
Die durchschnittliche Geschwindigkeit von Autos unterwegs von Indianapolis, Indiana, nach Chicago, Illinois, wird durch eine TriangularDistribution beschrieben.
In[1]:=
speed\[ScriptCapitalD] = TriangularDistribution[{\!\(\*
NamespaceBox["LinguisticAssistant",
DynamicModuleBox[{Typeset`query$$ = "55 mi/h", Typeset`boxes$$ =
TemplateBox[{"55",
RowBox[{"\"mi\"", " ", "\"/\"", " ", "\"h\""}], "miles per hour",
FractionBox["\"Miles\"", "\"Hours\""]}, "Quantity",
SyntaxForm -> Mod], Typeset`allassumptions$$ = {},
Typeset`assumptions$$ = {}, Typeset`open$$ = {1, 2},
Typeset`querystate$$ = {
"Online" -> True, "Allowed" -> True,
"mparse.jsp" -> 3.9373779`8.046752092819743,
"Messages" -> {}}},
DynamicBox[ToBoxes[
AlphaIntegration`LinguisticAssistantBoxes["45", 4, Automatic,
Dynamic[Typeset`query$$],
Dynamic[Typeset`boxes$$],
Dynamic[Typeset`allassumptions$$],
Dynamic[Typeset`assumptions$$],
Dynamic[Typeset`open$$],
Dynamic[Typeset`querystate$$]], StandardForm],
ImageSizeCache->{94., {8., 16.}},
TrackedSymbols:>{
Typeset`query$$, Typeset`boxes$$, Typeset`allassumptions$$,
Typeset`assumptions$$, Typeset`open$$,
Typeset`querystate$$}],
DynamicModuleValues:>{},
UndoTrackedVariables:>{Typeset`open$$}],
BaseStyle->{"Deploy"},
DeleteWithContents->True,
Editable->False,
SelectWithContents->True]\), \!\(\*
NamespaceBox["LinguisticAssistant",
DynamicModuleBox[{Typeset`query$$ = "82 mph", Typeset`boxes$$ =
TemplateBox[{"82",
RowBox[{"\"mi\"", " ", "\"/\"", " ", "\"h\""}], "miles per hour",
FractionBox["\"Miles\"", "\"Hours\""]}, "Quantity",
SyntaxForm -> Mod], Typeset`allassumptions$$ = {},
Typeset`assumptions$$ = {}, Typeset`open$$ = {1, 2},
Typeset`querystate$$ = {
"Online" -> True, "Allowed" -> True,
"mparse.jsp" -> 0.2656176`6.875801841788495,
"Messages" -> {}}},
DynamicBox[ToBoxes[
AlphaIntegration`LinguisticAssistantBoxes["", 4, Automatic,
Dynamic[Typeset`query$$],
Dynamic[Typeset`boxes$$],
Dynamic[Typeset`allassumptions$$],
Dynamic[Typeset`assumptions$$],
Dynamic[Typeset`open$$],
Dynamic[Typeset`querystate$$]], StandardForm],
ImageSizeCache->{94., {8., 16.}},
TrackedSymbols:>{
Typeset`query$$, Typeset`boxes$$, Typeset`allassumptions$$,
Typeset`assumptions$$, Typeset`open$$,
Typeset`querystate$$}],
DynamicModuleValues:>{},
UndoTrackedVariables:>{Typeset`open$$}],
BaseStyle->{"Deploy"},
DeleteWithContents->True,
Editable->False,
SelectWithContents->True]\)}, \!\(\*
NamespaceBox["LinguisticAssistant",
DynamicModuleBox[{Typeset`query$$ = "72 mph", Typeset`boxes$$ =
TemplateBox[{"72",
RowBox[{"\"mi\"", " ", "\"/\"", " ", "\"h\""}], "miles per hour",
FractionBox["\"Miles\"", "\"Hours\""]}, "Quantity",
SyntaxForm -> Mod], Typeset`allassumptions$$ = {},
Typeset`assumptions$$ = {}, Typeset`open$$ = {1, 2},
Typeset`querystate$$ = {
"Online" -> True, "Allowed" -> True,
"mparse.jsp" -> 0.250013`6.8495075848939235,
"Messages" -> {}}},
DynamicBox[ToBoxes[
AlphaIntegration`LinguisticAssistantBoxes["", 4, Automatic,
Dynamic[Typeset`query$$],
Dynamic[Typeset`boxes$$],
Dynamic[Typeset`allassumptions$$],
Dynamic[Typeset`assumptions$$],
Dynamic[Typeset`open$$],
Dynamic[Typeset`querystate$$]], StandardForm],
ImageSizeCache->{94., {8., 16.}},
TrackedSymbols:>{
Typeset`query$$, Typeset`boxes$$, Typeset`allassumptions$$,
Typeset`assumptions$$, Typeset`open$$, Typeset`querystate$$}],
DynamicModuleValues:>{},
UndoTrackedVariables:>{Typeset`open$$}],
BaseStyle->{"Deploy"},
DeleteWithContents->True,
Editable->False,
SelectWithContents->True]\)]
Out[1]=
Die Wahrscheinlichkeitsdichtefunktion der Geschwindigkeitsverteilung.
In[2]:=
Plot[PDF[speed\[ScriptCapitalD], Quantity[x, "mph"]], {x, 50, 85}]
Out[2]=
Berechnen Sie die Distanz der Autofahrt zwsichen den Städten.
Den kompletten Wolfram Language-Input zeigen
Out[3]=
In[4]:=
distance =
TravelDistance[{Entity[
"City", {"Indianapolis", "Indiana", "UnitedStates"}],
Entity["City", {"Chicago", "Illinois", "UnitedStates"}]},
TravelMethod -> "Driving"]
Out[4]=
Ermitteln die erwartete Ankunftszeit.
In[5]:=
Expectation[distance/v, v \[Distributed] speed\[ScriptCapitalD]]
Out[5]=
Konvertieren Sie diese in Stunden und Minuten.
In[6]:=
Expectation[distance/v, v \[Distributed] speed\[ScriptCapitalD]];
UnitConvert[%, MixedUnit[{"Hours", "Minutes"}]]
Out[6]=
Unter der Annahme, dass der Benzinverbrauch als eine Funktion der Autogeschwindigkeit durch folgende Interpolationsfunktion gegeben ist, kann die erwartete Benzinmenge für den Trip mithilfe von NExpectation berechnet werden.
In[7]:=
mpg = Interpolation[{Quantity[{40, 50, 60, 70, 80}, "miles per hour"],
Quantity[{33, 32, 28, 25, 20}, "miles per gallon"]} //
Transpose, InterpolationOrder -> 1];
In[8]:=
NExpectation[distance/mpg[v], v \[Distributed] speed\[ScriptCapitalD]]
Out[8]=