Re: FullSimplify interpretation
- To: mathgroup at smc.vnet.net
- Subject: [mg86511] Re: [mg86467] FullSimplify interpretation
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Wed, 12 Mar 2008 05:37:22 -0500 (EST)
- Reply-to: hanlonr at cox.net
Convert the output to InputForm and you will see that the output is a list of Piecewise functions. Look up Piecewise in the Help browser.
Bob Hanlon
---- Brian Beckage <Brian.Beckage at uvm.edu> wrote:
> 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 ]]
>
>