Plot surface of constraints: Possibly via Apply or Map Reduce over a list of equationsHow do I treat elements in a list as variables inside a module?variable sized lists and using lists as variablesAppend in For loop does not workPlot the result of Solve for multivalued solutionLast@Accumulate not giving same result as TotalTable and ListPlot3DFinding the slowest decay to a value for a 2D functionUsing Append without creating variableMerging the listsUsing Solve outputs for further calculations
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Plot surface of constraints: Possibly via Apply or Map Reduce over a list of equations
How do I treat elements in a list as variables inside a module?variable sized lists and using lists as variablesAppend in For loop does not workPlot the result of Solve for multivalued solutionLast@Accumulate not giving same result as TotalTable and ListPlot3DFinding the slowest decay to a value for a 2D functionUsing Append without creating variableMerging the listsUsing Solve outputs for further calculations
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
I have a function f(A,B,C) where for specific A and B values I can use Reduce to determine the constraint on C for my problem using a constraint on f. I want to plot the resulting surface.
To illustrate, consider
f = A^5 + B^3 + C^2
If A and B vary between 1 and 3 then I get the list of constraints (with f<20)
constraints = 1, 1, C < 18, 2, 1, C < -13, 3, 1, C < -224, 1, 2, C < 11, 2, 2, C < -20, 3, 2, C < -231, 1, 3, C < -8, 2, 3, C < -39, 3, 3, C < -250
I then want to plot the surface given by
surf = 1, 1, 18, 2, 1, -13, 3, 1, -224, 1, 2,
11, 2, 2, -20, 3, 2, -231, 1, 3, -8, 2, 3,
-39, 3, 3, -250
ListPlot3D[surf,Mesh->All]
I can form the list of constraints using For loops
constraints = ;
For[B = 1, B <= 3, B++,
For[A = 1, A <= 3, A++,
f = (A)^5 + B^3 + p;
sol = Reduce[f < 20, p];
constraints = Append[constraints, A, B, sol]
]
]
constraints
However I am not sure how to get from the list of constraints to the max permitted value for C and therefore get to the surf expression.
I also expect that For loops are not an ideal approach, and that I should be able to form lists of the A and B values and use another approach (Map, or Thread, or Apply maybe) with Reduce. I find these methods confusing though, and don't really understand anything but the most basic examples (so possibly similar questions have not helped me figure this out).
list-manipulation equation-solving
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
$endgroup$
add a comment |
$begingroup$
I have a function f(A,B,C) where for specific A and B values I can use Reduce to determine the constraint on C for my problem using a constraint on f. I want to plot the resulting surface.
To illustrate, consider
f = A^5 + B^3 + C^2
If A and B vary between 1 and 3 then I get the list of constraints (with f<20)
constraints = 1, 1, C < 18, 2, 1, C < -13, 3, 1, C < -224, 1, 2, C < 11, 2, 2, C < -20, 3, 2, C < -231, 1, 3, C < -8, 2, 3, C < -39, 3, 3, C < -250
I then want to plot the surface given by
surf = 1, 1, 18, 2, 1, -13, 3, 1, -224, 1, 2,
11, 2, 2, -20, 3, 2, -231, 1, 3, -8, 2, 3,
-39, 3, 3, -250
ListPlot3D[surf,Mesh->All]
I can form the list of constraints using For loops
constraints = ;
For[B = 1, B <= 3, B++,
For[A = 1, A <= 3, A++,
f = (A)^5 + B^3 + p;
sol = Reduce[f < 20, p];
constraints = Append[constraints, A, B, sol]
]
]
constraints
However I am not sure how to get from the list of constraints to the max permitted value for C and therefore get to the surf expression.
I also expect that For loops are not an ideal approach, and that I should be able to form lists of the A and B values and use another approach (Map, or Thread, or Apply maybe) with Reduce. I find these methods confusing though, and don't really understand anything but the most basic examples (so possibly similar questions have not helped me figure this out).
list-manipulation equation-solving
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
$endgroup$
$begingroup$
AreAandBconstrained to be integers?
$endgroup$
– Chris K
Mar 26 at 8:03
$begingroup$
No they aren't - my actual function is quite complex so this is just a simple example. @Henrik Schumacher's solution works wonderfully, but I'd still like to know how to map across the list if anyone has a solution that works that way (just for general development of skills)
$endgroup$
– Esme_
Mar 26 at 8:16
add a comment |
$begingroup$
I have a function f(A,B,C) where for specific A and B values I can use Reduce to determine the constraint on C for my problem using a constraint on f. I want to plot the resulting surface.
To illustrate, consider
f = A^5 + B^3 + C^2
If A and B vary between 1 and 3 then I get the list of constraints (with f<20)
constraints = 1, 1, C < 18, 2, 1, C < -13, 3, 1, C < -224, 1, 2, C < 11, 2, 2, C < -20, 3, 2, C < -231, 1, 3, C < -8, 2, 3, C < -39, 3, 3, C < -250
I then want to plot the surface given by
surf = 1, 1, 18, 2, 1, -13, 3, 1, -224, 1, 2,
11, 2, 2, -20, 3, 2, -231, 1, 3, -8, 2, 3,
-39, 3, 3, -250
ListPlot3D[surf,Mesh->All]
I can form the list of constraints using For loops
constraints = ;
For[B = 1, B <= 3, B++,
For[A = 1, A <= 3, A++,
f = (A)^5 + B^3 + p;
sol = Reduce[f < 20, p];
constraints = Append[constraints, A, B, sol]
]
]
constraints
However I am not sure how to get from the list of constraints to the max permitted value for C and therefore get to the surf expression.
I also expect that For loops are not an ideal approach, and that I should be able to form lists of the A and B values and use another approach (Map, or Thread, or Apply maybe) with Reduce. I find these methods confusing though, and don't really understand anything but the most basic examples (so possibly similar questions have not helped me figure this out).
list-manipulation equation-solving
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
$endgroup$
I have a function f(A,B,C) where for specific A and B values I can use Reduce to determine the constraint on C for my problem using a constraint on f. I want to plot the resulting surface.
To illustrate, consider
f = A^5 + B^3 + C^2
If A and B vary between 1 and 3 then I get the list of constraints (with f<20)
constraints = 1, 1, C < 18, 2, 1, C < -13, 3, 1, C < -224, 1, 2, C < 11, 2, 2, C < -20, 3, 2, C < -231, 1, 3, C < -8, 2, 3, C < -39, 3, 3, C < -250
I then want to plot the surface given by
surf = 1, 1, 18, 2, 1, -13, 3, 1, -224, 1, 2,
11, 2, 2, -20, 3, 2, -231, 1, 3, -8, 2, 3,
-39, 3, 3, -250
ListPlot3D[surf,Mesh->All]
I can form the list of constraints using For loops
constraints = ;
For[B = 1, B <= 3, B++,
For[A = 1, A <= 3, A++,
f = (A)^5 + B^3 + p;
sol = Reduce[f < 20, p];
constraints = Append[constraints, A, B, sol]
]
]
constraints
However I am not sure how to get from the list of constraints to the max permitted value for C and therefore get to the surf expression.
I also expect that For loops are not an ideal approach, and that I should be able to form lists of the A and B values and use another approach (Map, or Thread, or Apply maybe) with Reduce. I find these methods confusing though, and don't really understand anything but the most basic examples (so possibly similar questions have not helped me figure this out).
list-manipulation equation-solving
list-manipulation equation-solving
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
asked Mar 26 at 5:33
Esme_Esme_
2861 silver badge8 bronze badges
2861 silver badge8 bronze badges
$begingroup$
AreAandBconstrained to be integers?
$endgroup$
– Chris K
Mar 26 at 8:03
$begingroup$
No they aren't - my actual function is quite complex so this is just a simple example. @Henrik Schumacher's solution works wonderfully, but I'd still like to know how to map across the list if anyone has a solution that works that way (just for general development of skills)
$endgroup$
– Esme_
Mar 26 at 8:16
add a comment |
$begingroup$
AreAandBconstrained to be integers?
$endgroup$
– Chris K
Mar 26 at 8:03
$begingroup$
No they aren't - my actual function is quite complex so this is just a simple example. @Henrik Schumacher's solution works wonderfully, but I'd still like to know how to map across the list if anyone has a solution that works that way (just for general development of skills)
$endgroup$
– Esme_
Mar 26 at 8:16
$begingroup$
Are
A and B constrained to be integers?$endgroup$
– Chris K
Mar 26 at 8:03
$begingroup$
Are
A and B constrained to be integers?$endgroup$
– Chris K
Mar 26 at 8:03
$begingroup$
No they aren't - my actual function is quite complex so this is just a simple example. @Henrik Schumacher's solution works wonderfully, but I'd still like to know how to map across the list if anyone has a solution that works that way (just for general development of skills)
$endgroup$
– Esme_
Mar 26 at 8:16
$begingroup$
No they aren't - my actual function is quite complex so this is just a simple example. @Henrik Schumacher's solution works wonderfully, but I'd still like to know how to map across the list if anyone has a solution that works that way (just for general development of skills)
$endgroup$
– Esme_
Mar 26 at 8:16
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
f = a^5 + b^3 + c^2
RegionPlot3D[f <= 20, a, 1, 3, b, 1, 3, c, -5, 5,
AxesLabel -> "a", "b", "c"]
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
$endgroup$
add a comment |
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1 Answer
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1 Answer
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active
oldest
votes
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oldest
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$begingroup$
f = a^5 + b^3 + c^2
RegionPlot3D[f <= 20, a, 1, 3, b, 1, 3, c, -5, 5,
AxesLabel -> "a", "b", "c"]
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
$endgroup$
add a comment |
$begingroup$
f = a^5 + b^3 + c^2
RegionPlot3D[f <= 20, a, 1, 3, b, 1, 3, c, -5, 5,
AxesLabel -> "a", "b", "c"]
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
$endgroup$
add a comment |
$begingroup$
f = a^5 + b^3 + c^2
RegionPlot3D[f <= 20, a, 1, 3, b, 1, 3, c, -5, 5,
AxesLabel -> "a", "b", "c"]
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
$endgroup$
f = a^5 + b^3 + c^2
RegionPlot3D[f <= 20, a, 1, 3, b, 1, 3, c, -5, 5,
AxesLabel -> "a", "b", "c"]
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
edited Mar 26 at 6:08
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
answered Mar 26 at 5:45
Henrik SchumacherHenrik Schumacher
65.4k5 gold badges94 silver badges180 bronze badges
65.4k5 gold badges94 silver badges180 bronze badges
add a comment |
add a comment |
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$begingroup$
Are
AandBconstrained to be integers?$endgroup$
– Chris K
Mar 26 at 8:03
$begingroup$
No they aren't - my actual function is quite complex so this is just a simple example. @Henrik Schumacher's solution works wonderfully, but I'd still like to know how to map across the list if anyone has a solution that works that way (just for general development of skills)
$endgroup$
– Esme_
Mar 26 at 8:16