How can the property list of interpolating function be explored and exploited?
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While looking at this question, I asked myself the question given in the title. I post the results of my investigation in the question as an answer.
I used the example code given in the referenced question to carry out my investigation.
properties
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
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add a comment |
$begingroup$
While looking at this question, I asked myself the question given in the title. I post the results of my investigation in the question as an answer.
I used the example code given in the referenced question to carry out my investigation.
properties
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
$endgroup$
add a comment |
$begingroup$
While looking at this question, I asked myself the question given in the title. I post the results of my investigation in the question as an answer.
I used the example code given in the referenced question to carry out my investigation.
properties
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
$endgroup$
While looking at this question, I asked myself the question given in the title. I post the results of my investigation in the question as an answer.
I used the example code given in the referenced question to carry out my investigation.
properties
properties
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
asked 5 hours ago
m_goldbergm_goldberg
85.9k872196
85.9k872196
add a comment |
add a comment |
1 Answer
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$begingroup$
pts = {{0, 0}, {1, 1}, {2, 3}, {3, 4}, {4, 3}, {5, 0}};
f = Interpolation[pts]
I extracted the property values from the property list with PropertyValue and made an association with the properties names as keys for ease of examination and access.
propAssoc = Association[{# -> PropertyValue[f, #]} & /@ PropertyList[f]]
The association can be queried to get individual property values.
propAssoc @ "Domain"
{{0, 5}}
but, of course, if we don't want the bother of making an association just to get one or a few property values, we can use
PropertyValue[f, "Domain"]
{{0, 5}}
which seems always to be safe.
However, be aware that f itself acts like an association when given a valid property name and, also being safe, should probably be considered the standard practice for accessing properties.
f @ "Domain"
{{0, 5}}
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
$endgroup$
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from anInterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?
$endgroup$
– march
5 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
I mean, I definitely like theAssociationconstruction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!
$endgroup$
– march
4 hours ago
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
pts = {{0, 0}, {1, 1}, {2, 3}, {3, 4}, {4, 3}, {5, 0}};
f = Interpolation[pts]
I extracted the property values from the property list with PropertyValue and made an association with the properties names as keys for ease of examination and access.
propAssoc = Association[{# -> PropertyValue[f, #]} & /@ PropertyList[f]]
The association can be queried to get individual property values.
propAssoc @ "Domain"
{{0, 5}}
but, of course, if we don't want the bother of making an association just to get one or a few property values, we can use
PropertyValue[f, "Domain"]
{{0, 5}}
which seems always to be safe.
However, be aware that f itself acts like an association when given a valid property name and, also being safe, should probably be considered the standard practice for accessing properties.
f @ "Domain"
{{0, 5}}
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
$endgroup$
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from anInterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?
$endgroup$
– march
5 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
I mean, I definitely like theAssociationconstruction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!
$endgroup$
– march
4 hours ago
add a comment |
$begingroup$
pts = {{0, 0}, {1, 1}, {2, 3}, {3, 4}, {4, 3}, {5, 0}};
f = Interpolation[pts]
I extracted the property values from the property list with PropertyValue and made an association with the properties names as keys for ease of examination and access.
propAssoc = Association[{# -> PropertyValue[f, #]} & /@ PropertyList[f]]
The association can be queried to get individual property values.
propAssoc @ "Domain"
{{0, 5}}
but, of course, if we don't want the bother of making an association just to get one or a few property values, we can use
PropertyValue[f, "Domain"]
{{0, 5}}
which seems always to be safe.
However, be aware that f itself acts like an association when given a valid property name and, also being safe, should probably be considered the standard practice for accessing properties.
f @ "Domain"
{{0, 5}}
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
$endgroup$
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from anInterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?
$endgroup$
– march
5 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
I mean, I definitely like theAssociationconstruction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!
$endgroup$
– march
4 hours ago
add a comment |
$begingroup$
pts = {{0, 0}, {1, 1}, {2, 3}, {3, 4}, {4, 3}, {5, 0}};
f = Interpolation[pts]
I extracted the property values from the property list with PropertyValue and made an association with the properties names as keys for ease of examination and access.
propAssoc = Association[{# -> PropertyValue[f, #]} & /@ PropertyList[f]]
The association can be queried to get individual property values.
propAssoc @ "Domain"
{{0, 5}}
but, of course, if we don't want the bother of making an association just to get one or a few property values, we can use
PropertyValue[f, "Domain"]
{{0, 5}}
which seems always to be safe.
However, be aware that f itself acts like an association when given a valid property name and, also being safe, should probably be considered the standard practice for accessing properties.
f @ "Domain"
{{0, 5}}
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
$endgroup$
pts = {{0, 0}, {1, 1}, {2, 3}, {3, 4}, {4, 3}, {5, 0}};
f = Interpolation[pts]
I extracted the property values from the property list with PropertyValue and made an association with the properties names as keys for ease of examination and access.
propAssoc = Association[{# -> PropertyValue[f, #]} & /@ PropertyList[f]]
The association can be queried to get individual property values.
propAssoc @ "Domain"
{{0, 5}}
but, of course, if we don't want the bother of making an association just to get one or a few property values, we can use
PropertyValue[f, "Domain"]
{{0, 5}}
which seems always to be safe.
However, be aware that f itself acts like an association when given a valid property name and, also being safe, should probably be considered the standard practice for accessing properties.
f @ "Domain"
{{0, 5}}
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
answered 5 hours ago
m_goldbergm_goldberg
85.9k872196
85.9k872196
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from anInterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?
$endgroup$
– march
5 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
I mean, I definitely like theAssociationconstruction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!
$endgroup$
– march
4 hours ago
add a comment |
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from anInterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?
$endgroup$
– march
5 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
I mean, I definitely like theAssociationconstruction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!
$endgroup$
– march
4 hours ago
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from an
InterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?$endgroup$
– march
5 hours ago
$begingroup$
Is this meant to be sort of a canonical question/answer that we can point to whenever someone is wondering how to extract information from an
InterpolatingFunction? And, if so, isn't the canonical answer just your very last paragraph?$endgroup$
– march
5 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
@march I didn't intend for it a canonical question but as an example of how to go about finding and using the properties of functions that have them. If it is useful as a canonical that'a a bonus. However, I think the 1st part, about how extract info on the properties, is as useful as the final conclusion.
$endgroup$
– m_goldberg
4 hours ago
$begingroup$
I mean, I definitely like the
Association construction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!$endgroup$
– march
4 hours ago
$begingroup$
I mean, I definitely like the
Association construction, since it has both the possible property names and their values all in one object, easily accessible and readable (rather than having to remember what properties there are). So, I get it!$endgroup$
– march
4 hours ago
add a comment |
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