## [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp)

 [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp) From: - 2002-08-19 03:06:54 ```Bugs item #593531, was opened at 2002-08-10 18:31 You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: No describe(polydecomp) Initial Comment: Doc missing ---------------------------------------------------------------------- >Comment By: Stavros Macrakis (macrakis) Date: 2002-08-18 23:06 Message: Logged In: YES user_id=588346 Polydecomp(Expr,Variable) Consider Expr as a polynomial in Variable. Polydecomp expresses Expr as the functional composition of one or more polynomials. For example, consider p: expand(subst(x^3-x-1,x,x^2-a)) polydecomp(p,x) returns [ x^2-a, x^3-x-1] that is, lambda([x],x^2-a)(x^3-x-1) More trivially, polydecomp(x^6,x) => [x^3,x^2] Decompositions like this are not unique. For example, [x^2+2,x^2+1] (polydecomp's answer) is equivalent to [x^2+2*x+3,x^2]. I am not sure how polydecomp chooses its decompositions. I believe that only the last polynomial is ever linear, but other than that.... ---------------------------------------------------------------------- Comment By: Raymond Toy (rtoy) Date: 2002-08-18 14:33 Message: Logged In: YES user_id=28849 What does polydecomp do? What do you expect it to do. Hard to give documentation for describe if I don't know what it does. :-) ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 ```

 [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp) From: - 2002-08-10 22:31:52 ```Bugs item #593531, was opened at 2002-08-10 18:31 You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: No describe(polydecomp) Initial Comment: Doc missing ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp) From: - 2002-08-18 18:33:01 ```Bugs item #593531, was opened at 2002-08-10 18:31 You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: No describe(polydecomp) Initial Comment: Doc missing ---------------------------------------------------------------------- >Comment By: Raymond Toy (rtoy) Date: 2002-08-18 14:33 Message: Logged In: YES user_id=28849 What does polydecomp do? What do you expect it to do. Hard to give documentation for describe if I don't know what it does. :-) ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp) From: - 2002-08-19 03:06:54 ```Bugs item #593531, was opened at 2002-08-10 18:31 You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: No describe(polydecomp) Initial Comment: Doc missing ---------------------------------------------------------------------- >Comment By: Stavros Macrakis (macrakis) Date: 2002-08-18 23:06 Message: Logged In: YES user_id=588346 Polydecomp(Expr,Variable) Consider Expr as a polynomial in Variable. Polydecomp expresses Expr as the functional composition of one or more polynomials. For example, consider p: expand(subst(x^3-x-1,x,x^2-a)) polydecomp(p,x) returns [ x^2-a, x^3-x-1] that is, lambda([x],x^2-a)(x^3-x-1) More trivially, polydecomp(x^6,x) => [x^3,x^2] Decompositions like this are not unique. For example, [x^2+2,x^2+1] (polydecomp's answer) is equivalent to [x^2+2*x+3,x^2]. I am not sure how polydecomp chooses its decompositions. I believe that only the last polynomial is ever linear, but other than that.... ---------------------------------------------------------------------- Comment By: Raymond Toy (rtoy) Date: 2002-08-18 14:33 Message: Logged In: YES user_id=28849 What does polydecomp do? What do you expect it to do. Hard to give documentation for describe if I don't know what it does. :-) ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp) From: SourceForge.net - 2005-04-09 17:35:48 ```Bugs item #593531, was opened at 2002-08-10 16:31 Message generated for change (Settings changed) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 >Category: Documentation Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: No describe(polydecomp) Initial Comment: Doc missing ---------------------------------------------------------------------- Comment By: Stavros Macrakis (macrakis) Date: 2002-08-18 21:06 Message: Logged In: YES user_id=588346 Polydecomp(Expr,Variable) Consider Expr as a polynomial in Variable. Polydecomp expresses Expr as the functional composition of one or more polynomials. For example, consider p: expand(subst(x^3-x-1,x,x^2-a)) polydecomp(p,x) returns [ x^2-a, x^3-x-1] that is, lambda([x],x^2-a)(x^3-x-1) More trivially, polydecomp(x^6,x) => [x^3,x^2] Decompositions like this are not unique. For example, [x^2+2,x^2+1] (polydecomp's answer) is equivalent to [x^2+2*x+3,x^2]. I am not sure how polydecomp chooses its decompositions. I believe that only the last polynomial is ever linear, but other than that.... ---------------------------------------------------------------------- Comment By: Raymond Toy (rtoy) Date: 2002-08-18 12:33 Message: Logged In: YES user_id=28849 What does polydecomp do? What do you expect it to do. Hard to give documentation for describe if I don't know what it does. :-) ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-593531 ] No describe(polydecomp) From: SourceForge.net - 2005-11-16 06:45:55 ```Bugs item #593531, was opened at 2002-08-10 16:31 Message generated for change (Comment added) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Documentation Group: None >Status: Closed >Resolution: Fixed Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: No describe(polydecomp) Initial Comment: Doc missing ---------------------------------------------------------------------- >Comment By: Robert Dodier (robert_dodier) Date: 2005-11-15 23:45 Message: Logged In: YES user_id=501686 Description given by Stavros as a comment on bug report 1340694 adapted into r1.18 of doc/info/Polynomials.texi. ---------------------------------------------------------------------- Comment By: Stavros Macrakis (macrakis) Date: 2002-08-18 21:06 Message: Logged In: YES user_id=588346 Polydecomp(Expr,Variable) Consider Expr as a polynomial in Variable. Polydecomp expresses Expr as the functional composition of one or more polynomials. For example, consider p: expand(subst(x^3-x-1,x,x^2-a)) polydecomp(p,x) returns [ x^2-a, x^3-x-1] that is, lambda([x],x^2-a)(x^3-x-1) More trivially, polydecomp(x^6,x) => [x^3,x^2] Decompositions like this are not unique. For example, [x^2+2,x^2+1] (polydecomp's answer) is equivalent to [x^2+2*x+3,x^2]. I am not sure how polydecomp chooses its decompositions. I believe that only the last polynomial is ever linear, but other than that.... ---------------------------------------------------------------------- Comment By: Raymond Toy (rtoy) Date: 2002-08-18 12:33 Message: Logged In: YES user_id=28849 What does polydecomp do? What do you expect it to do. Hard to give documentation for describe if I don't know what it does. :-) ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=593531&group_id=4933 ```