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Re: FullSimplify interpretation

• To: mathgroup at smc.vnet.net
• Subject: [mg86491] Re: [mg86467] FullSimplify interpretation
• From: "Matthias Bode" <lvsaba at hotmail.com>
• Date: Wed, 12 Mar 2008 05:26:18 -0500 (EST)
• References: <200803120510.AAA03220@smc.vnet.net>

Would you mind giving us the PLAIN INPUT, Brian?

Best regards,

MATTHIAS BODE
Torres Sofer III, depto. 9 A*
Pedro Borda #1072
esq. Ismael Vásquez
COCHABAMBA/BOLIVIA

CEL: +591-70 71 56 64
TEL/FAX: +591-4-4 53 34 17
LVSABA at HOTMAIL.COM
Time indicated: UTC (=GMT).
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----- Original Message ----- 
From: "Brian Beckage" <Brian.Beckage at uvm.edu>
To: <mathgroup at smc.vnet.net>
Sent: Wednesday, March 12, 2008 5:10 AM
Subject: [mg86491] [mg86467] FullSimplify interpretation


> Hi all,
>
> Can anyone provide some guidance on how to interpret the result of
> FullSimplify[ ] given in the Cell Expression copied below?  I'm
> specifically wondering how to interpret the conditional nature of the
> result.
>
> Thanks for your help!
>
> Best wishes,
> Brian
>
>
>
> Cell[CellGroupData[{Cell[BoxData[
>  RowBox[{" ",
>   RowBox[{"d1EIGwP", "=",
>    RowBox[{"FullSimplify", "[",
>     RowBox[{
>      RowBox[{
>       RowBox[{"d1EIG", "[",
>        RowBox[{"[", "3", "]"}], "]"}], "/.", "parmListND1"}], ",",
>      RowBox[{
>       RowBox[{"c", ">", "0"}], " ", "&&",
>       RowBox[{"c", "\[Element]", "Reals"}], "&&",
>       RowBox[{
>        SubscriptBox["M", "g"], ">", "0"}], " ", "&&",
>       RowBox[{
>        SubscriptBox["M", "g"], "\[Element]", "Reals"}], "&&",
>       RowBox[{
>        SubscriptBox["r", "g"], ">", "0"}], "&&",
>       RowBox[{
>        SubscriptBox["r", "g"], "\[Element]", "Reals"}], "&&",
>       RowBox[{
>        SubscriptBox["M", "p"], ">", "0"}], "&&",
>       RowBox[{
>        SubscriptBox["M", "p"], "\[Element]", "Reals"}], "&&",
>       RowBox[{
>        SubscriptBox["r", "p"], ">", "0"}], "&&",
>       RowBox[{
>        SubscriptBox["r", "p"], "\[Element]", "Reals"}]}]}], "]"}],
>    " "}]}]], "Input",
>  CellChangeTimes->{{3.413589871370825*^9, 3.413589953706039*^9},
>    3.413589997339566*^9, {3.4135900344682426`*^9,
>    3.413590190426937*^9}, {3.414235731209591*^9,
>    3.414235759758086*^9}, {3.414236913610442*^9,
>    3.4142369526933117`*^9}, {3.4142398465364103`*^9,
>    3.4142398469656754`*^9}}],
>
> Cell[BoxData[
>  RowBox[{"{",
>   RowBox[{
>    RowBox[{"\[Piecewise]", GridBox[{
>       {
>        RowBox[{"-", "1"}],
>        RowBox[{
>         RowBox[{
>          RowBox[{"c", " ",
>           SubscriptBox["M", "g"], " ",
>           RowBox[{"(",
>            RowBox[{
>             SubscriptBox["r", "g"], "+",
>             SubscriptBox["r", "p"]}], ")"}]}], "+",
>          RowBox[{
>           SubscriptBox["r", "g"], " ",
>           RowBox[{"(",
>            RowBox[{
>             RowBox[{
>              RowBox[{"-", "c"}], " ",
>              SubscriptBox["M", "p"]}], "+",
>             SubscriptBox["r", "g"], "+",
>             SubscriptBox["r", "p"]}], ")"}]}]}], "\[GreaterEqual]",
>         "0"}]},
>       {
>        RowBox[{
>         RowBox[{"-",
>          FractionBox[
>           RowBox[{"c", " ",
>            SubscriptBox["M", "p"]}],
>           RowBox[{
>            RowBox[{"c", " ",
>             SubscriptBox["M", "g"]}], "+",
>            SubscriptBox["r", "g"]}]]}], "+",
>         FractionBox[
>          SubscriptBox["r", "p"],
>          SubscriptBox["r", "g"]]}],
>        TagBox["True",
>         "PiecewiseDefault",
>         AutoDelete->False,
>         DeletionWarning->True]}
>      },
>      GridBoxAlignment->{
>       "Columns" -> {{Left}}, "ColumnsIndexed" -> {},
>        "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
>      GridBoxItemSize->{
>       "Columns" -> {{Automatic}}, "ColumnsIndexed" -> {},
>        "Rows" -> {{1.}}, "RowsIndexed" -> {}},
>      GridBoxSpacings->{"Columns" -> {
>          Offset[0.27999999999999997`], {
>           Offset[0.84]},
>          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {},
>        "Rows" -> {
>          Offset[0.2], {
>           Offset[0.4]},
>          Offset[0.2]}, "RowsIndexed" -> {}}]}], ",",
>    RowBox[{"\[Piecewise]", GridBox[{
>       {
>        RowBox[{"-", "1"}],
>        RowBox[{
>         RowBox[{
>          RowBox[{"c", " ",
>           SubscriptBox["M", "g"], " ",
>           RowBox[{"(",
>            RowBox[{
>             SubscriptBox["r", "g"], "+",
>             SubscriptBox["r", "p"]}], ")"}]}], "+",
>          RowBox[{
>           SubscriptBox["r", "g"], " ",
>           RowBox[{"(",
>            RowBox[{
>             RowBox[{
>              RowBox[{"-", "c"}], " ",
>              SubscriptBox["M", "p"]}], "+",
>             SubscriptBox["r", "g"], "+",
>             SubscriptBox["r", "p"]}], ")"}]}]}], "<", "0"}]},
>       {
>        RowBox[{
>         RowBox[{"-",
>          FractionBox[
>           RowBox[{"c", " ",
>            SubscriptBox["M", "p"]}],
>           RowBox[{
>            RowBox[{"c", " ",
>             SubscriptBox["M", "g"]}], "+",
>            SubscriptBox["r", "g"]}]]}], "+",
>         FractionBox[
>          SubscriptBox["r", "p"],
>          SubscriptBox["r", "g"]]}],
>        TagBox["True",
>         "PiecewiseDefault",
>         AutoDelete->False,
>         DeletionWarning->True]}
>      },
>      GridBoxAlignment->{
>       "Columns" -> {{Left}}, "ColumnsIndexed" -> {},
>        "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
>      GridBoxItemSize->{
>       "Columns" -> {{Automatic}}, "ColumnsIndexed" -> {},
>        "Rows" -> {{1.}}, "RowsIndexed" -> {}},
>      GridBoxSpacings->{"Columns" -> {
>          Offset[0.27999999999999997`], {
>           Offset[0.84]},
>          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {},
>        "Rows" -> {
>          Offset[0.2], {
>           Offset[0.4]},
>          Offset[0.2]}, "RowsIndexed" -> {}}]}]}], "}"}]], "Output",
>  CellChangeTimes->{3.414236972638122*^9, 3.414239858373014*^9}]
> }, Open  ]]
>
>
> 

• References:
  • FullSimplify interpretation
    • From: Brian Beckage <Brian.Beckage@uvm.edu>