Linearity Assumption












8












$begingroup$


I'd like to define a set of variables of this sort:



{K1[t],K2[t],...}


Adding a general assumption: all such variables are linear.
I'd like to do this to avoid Mathematica having to show me higher order derivatives of these functions in my solution.






calculus-and-analysis assumptions







share|improve this question











$endgroup$








  • 1




    $begingroup$
    Possible duplicate of Neglect higher order derivatives in expression
    $endgroup$
    – AccidentalFourierTransform
    3 hours ago










  • $begingroup$
    I think the questions are different. In this case I've been asking "assumptions". In question you mentioned above, I was asking a "truncation".
    $endgroup$
    – Mirko Aveta
    2 hours ago
















8












$begingroup$


I'd like to define a set of variables of this sort:



{K1[t],K2[t],...}


Adding a general assumption: all such variables are linear.
I'd like to do this to avoid Mathematica having to show me higher order derivatives of these functions in my solution.






calculus-and-analysis assumptions







share|improve this question











$endgroup$








  • 1




    $begingroup$
    Possible duplicate of Neglect higher order derivatives in expression
    $endgroup$
    – AccidentalFourierTransform
    3 hours ago










  • $begingroup$
    I think the questions are different. In this case I've been asking "assumptions". In question you mentioned above, I was asking a "truncation".
    $endgroup$
    – Mirko Aveta
    2 hours ago














8












8








8





$begingroup$


I'd like to define a set of variables of this sort:



{K1[t],K2[t],...}


Adding a general assumption: all such variables are linear.
I'd like to do this to avoid Mathematica having to show me higher order derivatives of these functions in my solution.






calculus-and-analysis assumptions







share|improve this question











$endgroup$




I'd like to define a set of variables of this sort:



{K1[t],K2[t],...}


Adding a general assumption: all such variables are linear.
I'd like to do this to avoid Mathematica having to show me higher order derivatives of these functions in my solution.






calculus-and-analysis assumptions




calculus-and-analysis assumptions






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 6 hours ago









Michael E2

147k12198475




147k12198475










asked 7 hours ago









Mirko AvetaMirko Aveta

947617




947617








  • 1




    $begingroup$
    Possible duplicate of Neglect higher order derivatives in expression
    $endgroup$
    – AccidentalFourierTransform
    3 hours ago










  • $begingroup$
    I think the questions are different. In this case I've been asking "assumptions". In question you mentioned above, I was asking a "truncation".
    $endgroup$
    – Mirko Aveta
    2 hours ago














  • 1




    $begingroup$
    Possible duplicate of Neglect higher order derivatives in expression
    $endgroup$
    – AccidentalFourierTransform
    3 hours ago










  • $begingroup$
    I think the questions are different. In this case I've been asking "assumptions". In question you mentioned above, I was asking a "truncation".
    $endgroup$
    – Mirko Aveta
    2 hours ago








1




1




$begingroup$
Possible duplicate of Neglect higher order derivatives in expression
$endgroup$
– AccidentalFourierTransform
3 hours ago




$begingroup$
Possible duplicate of Neglect higher order derivatives in expression
$endgroup$
– AccidentalFourierTransform
3 hours ago












$begingroup$
I think the questions are different. In this case I've been asking "assumptions". In question you mentioned above, I was asking a "truncation".
$endgroup$
– Mirko Aveta
2 hours ago




$begingroup$
I think the questions are different. In this case I've been asking "assumptions". In question you mentioned above, I was asking a "truncation".
$endgroup$
– Mirko Aveta
2 hours ago










1 Answer
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$begingroup$

K1 /: Derivative[k_][K1] /; k >= 2 := (0 &)





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    1 Answer
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    1 Answer
    1






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    9












    $begingroup$

    K1 /: Derivative[k_][K1] /; k >= 2 := (0 &)





    share|improve this answer









    $endgroup$


















      9












      $begingroup$

      K1 /: Derivative[k_][K1] /; k >= 2 := (0 &)





      share|improve this answer









      $endgroup$
















        9












        9








        9





        $begingroup$

        K1 /: Derivative[k_][K1] /; k >= 2 := (0 &)





        share|improve this answer









        $endgroup$



        K1 /: Derivative[k_][K1] /; k >= 2 := (0 &)






        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 7 hours ago









        Henrik SchumacherHenrik Schumacher

        54.6k473152




        54.6k473152






























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