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What is the use of FullForm in Mathematica?


Where can I get detailed information on how the Plot command works?What are the use cases for different scoping constructs?NestList on a function of several argumentsUsing DistributionFitTest on custom distributions in Mathematica 8How to use NestWhileList with a function of two variablesRecursive Formal Differentiation with Substitution






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I would like to know where this "FullForm" in Mathematica will be useful. Kindly provide some examples. I just started learning Mathematica. If my question is wrong or not correct. I'm sorry about that.










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Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 3




    $begingroup$
    Whenever a student asks me a question about Mathematica where I don't know the answer, I apply FullForm. Either this helps show what happened, or else it gives me time to think of something else.
    $endgroup$
    – bill s
    8 hours ago


















7












$begingroup$


I would like to know where this "FullForm" in Mathematica will be useful. Kindly provide some examples. I just started learning Mathematica. If my question is wrong or not correct. I'm sorry about that.










share|improve this question







New contributor



Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$










  • 3




    $begingroup$
    Whenever a student asks me a question about Mathematica where I don't know the answer, I apply FullForm. Either this helps show what happened, or else it gives me time to think of something else.
    $endgroup$
    – bill s
    8 hours ago














7












7








7


2



$begingroup$


I would like to know where this "FullForm" in Mathematica will be useful. Kindly provide some examples. I just started learning Mathematica. If my question is wrong or not correct. I'm sorry about that.










share|improve this question







New contributor



Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$




I would like to know where this "FullForm" in Mathematica will be useful. Kindly provide some examples. I just started learning Mathematica. If my question is wrong or not correct. I'm sorry about that.







functions






share|improve this question







New contributor



Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.










share|improve this question







New contributor



Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








share|improve this question




share|improve this question






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Check out our Code of Conduct.








asked 10 hours ago









Gummala NavneethGummala Navneeth

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New contributor



Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




New contributor




Gummala Navneeth is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.













  • 3




    $begingroup$
    Whenever a student asks me a question about Mathematica where I don't know the answer, I apply FullForm. Either this helps show what happened, or else it gives me time to think of something else.
    $endgroup$
    – bill s
    8 hours ago














  • 3




    $begingroup$
    Whenever a student asks me a question about Mathematica where I don't know the answer, I apply FullForm. Either this helps show what happened, or else it gives me time to think of something else.
    $endgroup$
    – bill s
    8 hours ago








3




3




$begingroup$
Whenever a student asks me a question about Mathematica where I don't know the answer, I apply FullForm. Either this helps show what happened, or else it gives me time to think of something else.
$endgroup$
– bill s
8 hours ago




$begingroup$
Whenever a student asks me a question about Mathematica where I don't know the answer, I apply FullForm. Either this helps show what happened, or else it gives me time to think of something else.
$endgroup$
– bill s
8 hours ago










1 Answer
1






active

oldest

votes


















15














$begingroup$

Perhaps there are other uses, but I've primarily used FullForm to "see" what Mathematica "sees". This can be useful when you are trying to do replacements on something like $frac{x}{sqrt{5}}+y^2+1/z$. What Mathematica actually sees is



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]


You might want to do a replacement such as:



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]/.Rational[-1, 2] -> 6
(* 15625x + y^2 + 1/z *)


Replacements generally match to the FullForm and in some cases replacements will fail because Mathematica interprets it differently than you do. For example:



x/Sqrt[5] + y^2 + 1/z /. Sqrt[5] -> 6


This fails to give the expected result, because there is no Sqrt in the function by the time you go to run it.



Another place I've used FullForm is for inspecting the code for graphics and plots when they are misbehaving. There's a lot of stuff that happens behind the scenes when generating a plot, and so sometimes it's beneficial to see what the actual result of all that code is. For example, I can see what tick marks were chosen, and I can even replace them with my own tick marks after the fact if I desire. However, I would usually use InputForm for this as I find it slightly more readable.






share|improve this answer









$endgroup$











  • 2




    $begingroup$
    For inspecting graphics my shortInputForm function is much more handy than InputForm.
    $endgroup$
    – Alexey Popkov
    10 hours ago










  • $begingroup$
    And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
    $endgroup$
    – xzczd
    10 hours ago










  • $begingroup$
    FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
    $endgroup$
    – user6014
    9 hours ago














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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









15














$begingroup$

Perhaps there are other uses, but I've primarily used FullForm to "see" what Mathematica "sees". This can be useful when you are trying to do replacements on something like $frac{x}{sqrt{5}}+y^2+1/z$. What Mathematica actually sees is



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]


You might want to do a replacement such as:



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]/.Rational[-1, 2] -> 6
(* 15625x + y^2 + 1/z *)


Replacements generally match to the FullForm and in some cases replacements will fail because Mathematica interprets it differently than you do. For example:



x/Sqrt[5] + y^2 + 1/z /. Sqrt[5] -> 6


This fails to give the expected result, because there is no Sqrt in the function by the time you go to run it.



Another place I've used FullForm is for inspecting the code for graphics and plots when they are misbehaving. There's a lot of stuff that happens behind the scenes when generating a plot, and so sometimes it's beneficial to see what the actual result of all that code is. For example, I can see what tick marks were chosen, and I can even replace them with my own tick marks after the fact if I desire. However, I would usually use InputForm for this as I find it slightly more readable.






share|improve this answer









$endgroup$











  • 2




    $begingroup$
    For inspecting graphics my shortInputForm function is much more handy than InputForm.
    $endgroup$
    – Alexey Popkov
    10 hours ago










  • $begingroup$
    And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
    $endgroup$
    – xzczd
    10 hours ago










  • $begingroup$
    FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
    $endgroup$
    – user6014
    9 hours ago
















15














$begingroup$

Perhaps there are other uses, but I've primarily used FullForm to "see" what Mathematica "sees". This can be useful when you are trying to do replacements on something like $frac{x}{sqrt{5}}+y^2+1/z$. What Mathematica actually sees is



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]


You might want to do a replacement such as:



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]/.Rational[-1, 2] -> 6
(* 15625x + y^2 + 1/z *)


Replacements generally match to the FullForm and in some cases replacements will fail because Mathematica interprets it differently than you do. For example:



x/Sqrt[5] + y^2 + 1/z /. Sqrt[5] -> 6


This fails to give the expected result, because there is no Sqrt in the function by the time you go to run it.



Another place I've used FullForm is for inspecting the code for graphics and plots when they are misbehaving. There's a lot of stuff that happens behind the scenes when generating a plot, and so sometimes it's beneficial to see what the actual result of all that code is. For example, I can see what tick marks were chosen, and I can even replace them with my own tick marks after the fact if I desire. However, I would usually use InputForm for this as I find it slightly more readable.






share|improve this answer









$endgroup$











  • 2




    $begingroup$
    For inspecting graphics my shortInputForm function is much more handy than InputForm.
    $endgroup$
    – Alexey Popkov
    10 hours ago










  • $begingroup$
    And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
    $endgroup$
    – xzczd
    10 hours ago










  • $begingroup$
    FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
    $endgroup$
    – user6014
    9 hours ago














15














15










15







$begingroup$

Perhaps there are other uses, but I've primarily used FullForm to "see" what Mathematica "sees". This can be useful when you are trying to do replacements on something like $frac{x}{sqrt{5}}+y^2+1/z$. What Mathematica actually sees is



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]


You might want to do a replacement such as:



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]/.Rational[-1, 2] -> 6
(* 15625x + y^2 + 1/z *)


Replacements generally match to the FullForm and in some cases replacements will fail because Mathematica interprets it differently than you do. For example:



x/Sqrt[5] + y^2 + 1/z /. Sqrt[5] -> 6


This fails to give the expected result, because there is no Sqrt in the function by the time you go to run it.



Another place I've used FullForm is for inspecting the code for graphics and plots when they are misbehaving. There's a lot of stuff that happens behind the scenes when generating a plot, and so sometimes it's beneficial to see what the actual result of all that code is. For example, I can see what tick marks were chosen, and I can even replace them with my own tick marks after the fact if I desire. However, I would usually use InputForm for this as I find it slightly more readable.






share|improve this answer









$endgroup$



Perhaps there are other uses, but I've primarily used FullForm to "see" what Mathematica "sees". This can be useful when you are trying to do replacements on something like $frac{x}{sqrt{5}}+y^2+1/z$. What Mathematica actually sees is



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]


You might want to do a replacement such as:



Plus[Times[Power[5, Rational[-1, 2]], x], Power[y, 2], Power[z, -1]]/.Rational[-1, 2] -> 6
(* 15625x + y^2 + 1/z *)


Replacements generally match to the FullForm and in some cases replacements will fail because Mathematica interprets it differently than you do. For example:



x/Sqrt[5] + y^2 + 1/z /. Sqrt[5] -> 6


This fails to give the expected result, because there is no Sqrt in the function by the time you go to run it.



Another place I've used FullForm is for inspecting the code for graphics and plots when they are misbehaving. There's a lot of stuff that happens behind the scenes when generating a plot, and so sometimes it's beneficial to see what the actual result of all that code is. For example, I can see what tick marks were chosen, and I can even replace them with my own tick marks after the fact if I desire. However, I would usually use InputForm for this as I find it slightly more readable.







share|improve this answer












share|improve this answer



share|improve this answer










answered 10 hours ago









MassDefectMassDefect

3,8784 silver badges17 bronze badges




3,8784 silver badges17 bronze badges











  • 2




    $begingroup$
    For inspecting graphics my shortInputForm function is much more handy than InputForm.
    $endgroup$
    – Alexey Popkov
    10 hours ago










  • $begingroup$
    And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
    $endgroup$
    – xzczd
    10 hours ago










  • $begingroup$
    FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
    $endgroup$
    – user6014
    9 hours ago














  • 2




    $begingroup$
    For inspecting graphics my shortInputForm function is much more handy than InputForm.
    $endgroup$
    – Alexey Popkov
    10 hours ago










  • $begingroup$
    And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
    $endgroup$
    – xzczd
    10 hours ago










  • $begingroup$
    FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
    $endgroup$
    – user6014
    9 hours ago








2




2




$begingroup$
For inspecting graphics my shortInputForm function is much more handy than InputForm.
$endgroup$
– Alexey Popkov
10 hours ago




$begingroup$
For inspecting graphics my shortInputForm function is much more handy than InputForm.
$endgroup$
– Alexey Popkov
10 hours ago












$begingroup$
And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
$endgroup$
– xzczd
10 hours ago




$begingroup$
And InputForm can be achieved by Ctrl+Shift+I. (There exist cases that InputForm is missleading of course e.g. Sqrt[2] // InputForm.)
$endgroup$
– xzczd
10 hours ago












$begingroup$
FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
$endgroup$
– user6014
9 hours ago




$begingroup$
FullForm is tremendously useful for understanding precedence in pattern matching as well. That's where I most rely on it.
$endgroup$
– user6014
9 hours ago











Gummala Navneeth is a new contributor. Be nice, and check out our Code of Conduct.










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