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AbelsLemma.html
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AbelsLemma.html
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<title>e-Proof-Creator for iMathAS</title>
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<VARIABLE NAME='Theorem_Title' VALUE='Abel`s Lemma - Series' />
<VARIABLE NAME='Theorem_Label' VALUE='Theorem' />
<VARIABLE NAME='Author' VALUE='Engelbert Niehaus' />
<VARIABLE NAME='eMail' VALUE='niehaus@uni-landau.de' />
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<STEPDEF SIZE='2' ID='P2' VALUE=' __math__P(z) :__eq__
sum_{n__eq__0}^{oo} c_n * (z - a)^n__math__ is a power series with the
expansion point __math__a in CC__math__' />
<STEPDEF SIZE='2' ID='P3' VALUE=' Let __math__K__math__ be the
convergence set__co__ i.e. __math__K:__eq__{ z in CC | P(z)__eq__
sum_{n__eq__0}^{oo} c_n * (z - a)^n __qu__ absolut konvergent__qu__
}__math__' />
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__math__w_0 in CC__math__ with __math__|w_0 - a| __lt__ |z_0
-a|__math__' />
<STEPDEF SIZE='2' ID='P5' VALUE=' __math__z_1 notin K__math__ and
__math__w_1 in CC__math__ with __math__|w_1 - a| __gt__ |z_1
-a|__math__' />
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/>
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<VARLIST NAME='JUSTIFICATION_OPTIONS'>
<STEPDEF SIZE='2' ID='J1' VALUE=' __math__sum_{n__eq__0}^{oo} c_n
* (z - a)^n__math__ and __math__sum_{k__eq__0}^{oo} c_k * (z -
a)^k__math__ ' />
<STEPDEF SIZE='2' ID='J2' VALUE='Theorem: If the series
__math__sum_{k__eq__0}^{oo} b_k__math__ is convergent in
__math__CC__math____co__ then __math__(b_k)_{k in NN_o} in
CC^{NN_o}__math__ is a restricted sequence in __math__CC__math__.' />
<STEPDEF SIZE='2' ID='J3' VALUE='Theorem: If the series
__math__sum_{k__eq__0}^{oo} b_k__math__ is convergent in
__math__CC__math____co__ then __math__(b_k)_{k in NN_o} in
CC^{NN_o}__math__ is not a zero sequence in __math__CC__math__.' />
<STEPDEF SIZE='2' ID='J4' VALUE='
__math__M:__eq__C/(1-q)__math__' />
<STEPDEF SIZE='2' ID='DU' VALUE=' __math__AA_(a__co__b in CC) :
|a + b| __lt____eq__ |a| + |b| __math__' />
<STEPDEF SIZE='2' ID='DG' VALUE=' __math__AA_(a__co__b__co__c in
M) : a * (b + c) __eq__ a * b + a * c__math__ ' />
<STEPDEF SIZE='2' ID='MA' VALUE=' __math__AA_(a__co__b in CC) :
|a * b|__eq__|a|*|b|__math__' />
<STEPDEF SIZE='2' ID='KG' VALUE=' __math__AA_(a__co__b in M) : a *
b __eq__ b * c __math__' />
<STEPDEF SIZE='2' ID='PG' VALUE='__math__AA_{a__co__b in RR__co__
b!__eq__0} AA_{n in NN} : (a/b)^n __eq__ a^n/b^n__math__' />
<STEPDEF SIZE='2' ID='MK' VALUE='(comparison test): For
__math__(a_n)_{n in NN_o}__co__(b_n)_{n in NN_o} in CC^{NN_o}__math__
and __math__EE_{n_o in NN} AA_{n __gt__ n_o} : |a_n| __lt__
|b_n|__math____co__ then the absolute convergence of
__math__sum_{n__eq__0}^{oo} b_n__math__ implies also the absolute
convergence of __math__sum_{n__eq__0}^{oo} a_n__math__ ' />
<STEPDEF SIZE='2' ID='CP' VALUE='contradiction to precondition:
__math__z_1 notin K__math__' />
</VARLIST>
<VARLIST NAME='PROOFSTEP_OPTIONS'>
<STEPDEF SIZE='2' ID='S1' VALUE='__math__P(z_o) :__eq__
sum_{n__eq__0}^{oo} c_n * (z_o-a)^{n}__math__ is convergent. ' />
<STEPDEF SIZE='2' ID='S2' VALUE='__math__EE_{C__gt__0} AA_{n in
NN_0}: | c_n * (z_o - a)^{n} | __lt__ C__math__ and __math__| z_o - a
|__gt__ |w_o - a| __gt____eq__ 0__math__. ' />
<STEPDEF SIZE='2' ID='S3' VALUE='__math__EE_{C__gt__0} AA_{n in
NN_0}: | c_n | * | (z_o-a)^{n} | __lt__ C__math__ and __math__| (z_o -
a)^{n} | __gt__ 0__math__. ' />
<STEPDEF SIZE='2' ID='S4' VALUE='__math__EE_{C__co__q __gt__0} :
q:__eq__| (w_o - a)/(z_o - a) | __lt__ 1__math__ und __math__| c_n *
(w_o - a)^{n} | __eq__ | c_n * (z_o - a)^{n} * ((w_o - a)^{n}/(z_o -
a)^{n}) | __eq__ | c_n * (z_o - a)^{n} | * q^n __lt__ C * q^n__math__. '
/>
<STEPDEF SIZE='2' ID='S5' VALUE=' The geometric series __math__
sum_{n__eq__0}^{oo} C * q^n __eq__ C * sum_{n__eq__0}^{oo} q^n __eq__ C *
1/(1-q)__math__ is the absolute convergent majorant of __math__P(w_o)
__eq__ sum_{n__eq__0}^{oo} c_n * (w_o-a)^n__math__. ' />
<STEPDEF SIZE='2' ID='S7' VALUE='(Proof type) Proof by
contradiction and the assumption__co__ that __math__w_1 in K__math__ is
valid.' />
<STEPDEF SIZE='2' ID='S8' VALUE='Put __math__z_o :__eq__ w_1 in
K__math__ and __math__w_o :__eq__ z_1__math__ for the application of
[C1].' />
<STEPDEF SIZE='2' ID='S9' VALUE='__math__z_o :__eq__ w_1 in
K__math__ and __math__w_o :__eq__ z_1 in K__math__.' />
<STEPDEF SIZE='5' ID='S1' CONNECTION=' ' JUST='P4' OPTJUST=''
VALUE='__math__P(z_o) :__eq__ sum_{n__eq__0}^{oo} c_n *
(z_o-a)^{n}__math__ is convergent. ' />
<STEPDEF SIZE='5' ID='S2' CONNECTION='__eq____gt__' JUST='P3,J2'
OPTJUST='' VALUE='__math__EE_{C__gt__0} AA_{n in NN_0}: | c_n * (z_o -
a)^{n} | __lt__ C__math__ and __math__| z_o - a |__gt__ |w_o - a|
__gt____eq__ 0__math__. ' />
<STEPDEF SIZE='5' ID='S3' CONNECTION='__eq____gt__' JUST='MA'
OPTJUST='' VALUE='__math__EE_{C__gt__0} AA_{n in NN_0}: | c_n | * |
(z_o-a)^{n} | __lt__ C__math__ and __math__| (z_o - a)^{n} | __gt__
0__math__. ' />
<STEPDEF SIZE='5' ID='S4' CONNECTION='__eq____gt__' JUST='P4'
OPTJUST='' VALUE='__math__EE_{C__co__q __gt__0} : q:__eq__| (w_o -
a)/(z_o - a) | __lt__ 1__math__ und __math__| c_n * (w_o - a)^{n} |
__eq__ | c_n * (z_o - a)^{n} * ((w_o - a)^{n}/(z_o - a)^{n}) | __eq__ |
c_n * (z_o - a)^{n} | * q^n __lt__ C * q^n__math__. ' />
<STEPDEF SIZE='5' ID='S5' CONNECTION='__eq____gt__' JUST=''
OPTJUST='DG' VALUE=' The geometric series __math__ sum_{n__eq__0}^{oo} C
* q^n __eq__ C * sum_{n__eq__0}^{oo} q^n __eq__ C * 1/(1-q)__math__ is
the absolute convergent majorant of __math__P(w_o) __eq__
sum_{n__eq__0}^{oo} c_n * (w_o-a)^n__math__. ' />
<STEPDEF SIZE='5' ID='C1' CONNECTION='__eq____gt__' JUST='MK'
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<STEPDEF SIZE='5' PREVIOUS=' ' ID='S1' CONNECTION='__eq____gt__'
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<STEPDEF SIZE='5' ID='S4' CONNECTION='__eq____gt__' JUST='P4'
OPTJUST='' VALUE='' />
<STEPDEF SIZE='5' ID='S5' CONNECTION='__eq____gt__' JUST=''
OPTJUST='DG' VALUE='' />
<STEPDEF SIZE='5' ID='C1' CONNECTION='__eq____gt__' JUST='MK'
OPTJUST='' VALUE='' />
<STEPDEF SIZE='5' PREVIOUS=' ' ID='S7' CONNECTION=' ' JUST=' '
OPTJUST='' VALUE='(Proof type) Proof by contradiction and the
assumption__co__ that __math__w_1 in K__math__ is valid.' />
<STEPDEF SIZE='5' ID='S8' CONNECTION='__eq____gt__' JUST=''
OPTJUST='C1' VALUE='Put __math__z_o :__eq__ w_1 in K__math__ and
__math__w_o :__eq__ z_1__math__ for the application of [C1].' />
<STEPDEF SIZE='5' ID='S9' CONNECTION='__eq____gt__' JUST='C1'
OPTJUST='' VALUE='__math__z_o :__eq__ w_1 in K__math__ and __math__w_o
:__eq__ z_1 in K__math__.' />
<STEPDEF SIZE='5' ID='C2' CONNECTION=' ' JUST='CP' OPTJUST='S7'
VALUE='' />
</VARLIST>
</EPROOF>
</textarea>
<hr>
<select class="tplDISPLAYSELECT__QID__" id="tplDISPLAYSELECT__QID__">
<option selected="selected" class="optDISPLAYOPTION__QID__" id="EDITComplete__QID__" value="EDITComplete">EDIT: Complete</option>
<option class="optDISPLAYOPTION__QID__" id="EDITShort__QID__" value="EDITShort">EDIT: Short</option>
<option class="optDISPLAYOPTION__QID__" id="Complete__QID__" value="Complete">Complete</option>
<option class="optDISPLAYOPTION__QID__" id="Short__QID__" value="Short">Short</option>
</select>
<div class="displaySOLUTIONSTEP__QID__" id="displaySOLUTIONSTEP__QID__">
<table border="0" width="95%">
<tbody><tr>
<td class="solSTEPNR__QID__" step="0" id="solSTEPNR__QID__" align="center" valign="top" width="35px">
(0)
</td>
<td class="solCONNECTION__QID__" step="0" id="solCONNECTION__QID__" align="center" valign="top" width="35px">
???
</td>
<td class="solSTEPID__QID__" step="0" id="solSTEPID__QID__" align="center" valign="top" width="55px">
[ID]
</td>
<td class="solSTEPDEF__QID__" step="0" id="solSTEPDEF__QID__" valign="top">
Step Definition
</td>
</tr>
</tbody></table>
<div class="solJUSTIFICATIONS__QID__" id="solJUSTIFICATIONS__QID__" style="margin-left: 3em;">
</div>
</div>
<hr>
<div class="STUDENTANSWER__QID__" id="tplSTUDENTANSWER__QID__">
<hr align="left" width="55%">
<div class="editSTUDENTANSWER__QID__" id="editSTUDENTANSWER__QID__">
<select class="sPOSITION__QID__" id="sPOSITION__QID__" step="0" onchange="vEProof__QID__.moveStepOrder(this,this.value)">
</select>
<input size="2" class="PREVIOUSLINK__QID__" step="0" id="PREVIOUSLINK__QID__" style="display:none" type="text">
<input size="2" class="mapPREVIOUSLINK__QID__" step="0" id="mapPREVIOUSLINK__QID__" onchange="vEProof__QID__.updatePreviousLink(this)" style="display:none" type="text">
<button type="button" class="bUseStep__QID__" step="0" id="bUseStep__QID__" onclick="vEProof__QID__.appendStep(this)" style="display:none"> Append Step </button>
<select class="sCONNECTION__QID__" id="sCONNECTION__QID__" step="0" onchange="vEProof__QID__.updateConnection(this)">
</select>
<select class="sSTEPID__QID__" id="sSTEPID__QID__" step="0" onchange="vEProof__QID__.moveStepID(this,this.value)">
</select>
<button type="button" class="bDelete__QID__" step="0" id="bDelete__QID__" onclick="vEProof__QID__.deleteProofStep(this)" style="color:red">X</button>
<button type="button" class="bEdit__QID__" step="0" id="bEdit__QID__" onclick="vEProof__QID__.toggleEdit(this)">EDIT</button>
<nobr class="nobrJUSTIFICATION" step="0" id="nobrJUSTIFICATION">
<button type="button" class="bJustifications__QID__" step="0" id="bJustifications__QID__" onclick="vEProof__QID__.toggleJustifications(this)">Justifications</button>
<outtext class="outJUSTIFICATIONID__QID__" step="0" id="outJUSTIFICATIONID__QID__">[]</outtext>
<outtext class="labelOPTJUSTIFICATION__QID__" step="0" id="labelOPTJUSTIFICATION__QID__"> - optional:</outtext>
<input size="15" class="optJUSTIFICATION__QID__" step="0" id="optJUSTIFICATION__QID__" onchange="vEProof__QID__.checkOptJustifications(this)" type="text">
<input size="15" class="orgOPTJUSTIFICATION__QID__" step="0" id="orgOPTJUSTIFICATION__QID__" style="display:none" type="text">
</nobr>
</div>
<div class="SELECTFROM__QID__" id="SELECTFROM__QID__" style="display:none">
oldPos:<input size="2" class="oldPOSITION__QID__" step="0" id="oldPOSITION__QID__" value="0" type="text">
Previous:<input size="2" class="PREVIOUS__QID__" step="0" id="PREVIOUS__QID__" value="PID" type="text">
Next:<input size="2" class="NEXT__QID__" step="0" id="NEXT__QID__" value="NID" type="text">
NextCon:<input size="2" class="NEXTCON__QID__" step="0" id="NEXTCON__QID__" value="TYP" type="text">
Step:<input size="2" class="STEPNR__QID__" step="0" id="STEPNR__QID__" value="0" type="text">
ID:<input size="3" class="inSTEPID__QID__" step="0" id="inSTEPID__QID__" value="ID" onchange="alert('Edit Step ID of Step'+this.getAttribute('step'))" type="text"><br>
Sel4Con:<input size="15" class="selectCONNECTION__QID__" step="0" id="selectCONNECTION__QID__" type="text">
Sel4ID:<input size="15" class="selectSTEPID__QID__" step="0" id="selectSTEPID__QID__" type="text">
Sel4Just:<input size="15" class="selectJUSTIFICATION__QID__" step="0" id="selectJUSTIFICATION__QID__" type="text">
Append4Just:<input size="15" class="appendJUSTIFICATION__QID__" step="0" id="appendJUSTIFICATION__QID__" type="text">
Just:<input size="15" class="inJUSTIFICATION__QID__" step="0" id="inJUSTIFICATION__QID__" onchange="vEProof__QID__.updateJustifications(this)" type="text"><br>
SugUsed:<input step="0" size="2" class="inSUGGESTIONSUSED__QID__" id="inSUGGESTIONSUSED__QID__" value="0" type="text">
SugStep:<input step="0" size="2" class="stepSUGGESTION__QID__" id="stepSUGGESTION__QID__" value="0" type="text">
AssUsed:<input step="0" size="2" class="inASSESSMENTUSED__QID__" id="inASSESSMENTUSED__QID__" value="0" type="text">
<br>
MaxScore:<input step="0" size="2" class="maxSCORESTEP__QID__" id="maxSCORESTEP__QID__" value="0.0" type="text">
PreLinkSteps:<input step="0" size="2" class="preLINKSTEPS__QID__" id="preLINKSTEPS__QID__" value="0" type="text">
PostLinkSteps:<input step="0" size="2" class="postLINKSTEPS__QID__" id="postLINKSTEPS__QID__" value="0" type="text">
assCon:<input step="0" size="2" class="assCONNECTION__QID__" id="assCONNECTION__QID__" value="0" type="text">
Errors:<input step="0" size="2" class="assERRORS__QID__" id="assERRORS__QID__" value="0" type="text">
JustCor:<input step="0" size="6" class="assJUSTCORRECT__QID__" id="assJUSTCORRECT__QID__" type="text">
JustMiss:<input step="0" size="6" class="assJUSTMISSING__QID__" id="assJUSTMISSING__QID__" type="text">
JustUnnec:<input step="0" size="6" class="assJUSTUNNECESSARY__QID__" id="assJUSTJUNNECESSARY__QID__" type="text">
</div>
<div class="STEPEDITOR__QID__" id="STEPEDITOR__QID__" style="display:none">
<table border="0" width="95%">
<tbody><tr>
<td valign="top" width="90px">
<button type="button" class="bSaveEditor__QID__" step="0" id="bSaveEditor__QID__" onclick="vEProof__QID__.saveStep(this)">SAVE</button>
</td>
<td class="inSTEPEDITOR__QID__" id="inSTEPEDITOR__QID__" valign="top">
<textarea rows="9" class="taSTEPEDITOR__QID__" step="0" id="taSTEPEDITOR__QID__" style="width:98%;" onkeyup="vEProof__QID__.updateTextarea(this)"></textarea>
</td>
</tr>
</tbody></table>
</div>
<div class="displaySTUDENTANSWER__QID__" id="displaySTUDENTANSWER__QID__">
<table border="0" width="95%">
<tbody><tr>
<td class="outSTEPNR__QID__" step="0" id="outSTEPNR__QID__" align="center" valign="top" width="35px">
(0)
</td>
<td class="outCONNECTION__QID__" step="0" id="outCONNECTION__QID__" align="center" valign="top" width="35px">
???
</td>
<td class="outSTEPID__QID__" step="0" id="outSTEPID__QID__" align="center" valign="top" width="55px">
[ID]
</td>
<td class="outSTEPDEF__QID__" step="0" id="outSTEPDEF__QID__" valign="top">
Step Definition<br>
Step Definition next Line
</td>
</tr>
</tbody></table>
<div class="divJUSTIFICATIONS__QID__" id="divJUSTIFICATIONS__QID__" style="margin-left: 3em;">
<div class="displayJUSTIFICATIONS__QID__" id="displayJUSTIFICATIONS__QID__">
<u>Justifications:</u>
<ul>
<li> Undefined Justications </li>
</ul>
</div>
</div>
<div class="divEDITJUSTIFICATIONS__QID__" id="divJUSTIFICATIONS__QID__">
<div class="editJUSTIFICATIONS__QID__" id="editJUSTIFICATIONS__QID__" style="display:none">
<b>Checkbox Justifications:</b>
<ul>
<li> Check Box Justications </li>
</ul>
</div>
<table class="SUGASSESSMAN__QID__" id="SUGASSESSMAN__QID__" style="margin-left:3.3em" border="0">
<tbody><tr>
<td>
<button type="button" class="bSuggestion__QID__" step="0" id="bSuggestion__QID__" onclick="vEProof__QID__.toggleSuggestionStep(this.getAttribute('step'))" style="display:none;color:green">Suggestion</button>
</td>
<td>
<button type="button" class="bAssessStep__QID__" step="0" id="bAssessStep__QID__" onclick="vEProof__QID__.assessStep(this)" style="display:none;color:red">Assess Step</button>
</td>
<td>
<outstep class="outMYSTEPASSESS__QID__" id="outMYSTEPASSESS__QID__" step="0" style="display:none">
<b valign="top" class="outMYSTEPASSESSTITLE__QID__" id="outMYSTEPASSESSTITLE__QID__">
Manual Assessment:
</b>
<tt valign="top" class="outMYSTEPASSESSTEXT__QID__" id="outMYSTEPASSESSTEXT__QID__" style="display:none">
Assess Self-defined Steps
</tt>
<b valign="top" class="outMYSTEPASSESSSCORE__QID__" id="outMYSTEPASSESSSCORE__QID__" align="right">
<input size="3" class="inMYSTEPASSESSSCORE__QID__" id="inMYSTEPASSESSSCORE__QID__" onchange="vEProof__QID__.assessStepDisplay(this)" type="text">%
</b>
</outstep>
</td>
</tr>
</tbody></table>
</div>
</div>
<div class="assessSTUDENTANSWER__QID__" id="assessSTUDENTANSWER__QID__" style="display:none">
<table align="center" bgcolor="#EAEAEA" border="1" width="70%">
<tbody><tr>
<td>
<table class="ASSESSTABLE__QID__" id="ASSESSTABLE__QID__" align="center" border="0" cellspacing="10px">
<tbody><tr style="font-size:120%">
<td colspan="3" id="outSTEPSCORETITLE__QID__" align="center">
<b class="outSTEPNR__QID__" id="outSTEPNR_ASSESSMENTTITLE__QID__">(0)</b>
<b class="outASSESSMENTTITLE__QID__" id="outASSESSMENTTITLE__QID__">Assessment of Student Answer</b>
<b class="outSTEPID_ASSESSMENT__QID__" id="outSTEPID_ASSESSMENT__QID__">[ID]</b>
</td>
</tr>
<tr class="outASSESSCONNECTION__QID__" id="outASSESSCONNECTION__QID__" style="color:red">
<td class="outASSESSCONNECTIONTITLE__QID__" id="outASSESSCONNECTIONTITLE__QID__" valign="top">
Connection
</td>
<td class="outASSESSCONNECTIONTEXT__QID__" id="outASSESSCONNECTIONTEXT__QID__" valign="top">
(f)
</td>
<td class="outASSESSCONNECTIONSCORE__QID__" id="outASSESSCONNECTIONSCORE__QID__" align="right" valign="top">
-30.00%
</td>
</tr>
<tr class="outpreLINKSTEPS__QID__" id="outpreLINKSTEPS__QID__" style="color:red">
<td class="outpreLINKSTEPSTITLE__QID__" id="outpreLINKSTEPSTITLE__QID__" valign="top">
Previous Step
</td>
<td class="outpreLINKSTEPSTEXT__QID__" id="outpreLINKSTEPSTEXT__QID__" valign="top">
2 Missing Steps to previous Step or No Link to next step
</td>
<td class="outpreLINKSTEPSSCORE__QID__" id="outpreLINKSTEPSSCORE__QID__" align="right" valign="top">
-20.0%
</td>
</tr>
<tr class="outpostLINKSTEPS__QID__" id="outpostLINKSTEPS__QID__" style="color:red">
<td class="outpostLINKSTEPSTITLE__QID__" id="outpostLINKSTEPSTITLE__QID__" valign="top">
Next Step
</td>
<td class="outpostLINKSTEPSTEXT__QID__" id="outpostLINKSTEPSTEXT__QID__" valign="top">
5 Missing Steps to next Step or No Link to next step
</td>
<td class="outpostLINKSTEPSSCORE__QID__" id="outpostLINKSTEPSSCORE__QID__" align="right" valign="top">
-50.0%
</td>
</tr>
<tr class="outJUSTCORRECT__QID__" id="outJUSTCORRECT__QID__" style="color:green">
<td class="outJUSTCORRECTTITLE__QID__" id="outJUSTCORRECTTITLE__QID__" valign="top">
Correct Justifications
</td>
<td class="outJUSTCORRECTTEXT__QID__" id="outJUSTCORRECTTEXT__QID__" valign="top">
[]
</td>
<td class="outJUSTCORRECTSCORE__QID__" id="outJUSTCORRECTSCORE__QID__" align="right" valign="top">
(r)
</td>
</tr>
<tr class="outJUSTMISSING__QID__" id="outJUSTMISSING__QID__" style="color:red">
<td class="outJUSTMISSINGTITLE__QID__" id="outJUSTMISSINGTITLE__QID__" valign="top">
Missing Justifications
</td>
<td class="outJUSTMISSINGTEXT__QID__" id="outJUSTMISSINGTEXT__QID__" valign="top">
[]
</td>
<td class="outJUSTMISSINGSCORE__QID__" id="outJUSTMISSINGSCORE__QID__" align="right" valign="top">
-0%
</td>
</tr>
<tr class="outJUSTUNNECESSARY__QID__" id="outJUSTUNNECESSARY__QID__" style="color:red">
<td class="outJUSTUNNECESSARYTITLE__QID__" id="outJUSTUNNECESSARYTITLE__QID__" valign="top">
Unnecessary Justification
</td>
<td class="outJUSTUNNECESSARYTEXT__QID__" id="outJUSTUNNECESSARYTEXT__QID__" valign="top">
[]
</td>
<td class="outJUSTUNNECESSARYSCORE__QID__" id="outJUSTUNNECESSARYSCORE__QID__" align="right" valign="top">
-20%
</td>
</tr>
<tr class="outSUGUSED__QID__" id="outSUGUSED__QID__">
<td class="outSUGUSEDTITLE__QID__" id="outSUGUSEDTITLE__QID__" valign="top">
Suggestion:
</td>
<td class="outSUGUSEDTEXT__QID__" id="outSUGUSEDTEXT__QID__" valign="top">
Used for this Step
</td>
<td class="outSUGUSEDSCORE__QID__" id="outSUGUSEDSCORE__QID__" align="right" valign="top">
-0.0%
</td>
</tr>
<tr class="outASSESSUSED__QID__" id="outASSESSUSED__QID__">
<td class="outASSESSUSEDTITLE__QID__" id="outASSESSUSEDTITLE__QID__" valign="top">
Assessments:
</td>
<td class="outASSESSUSEDTEXT__QID__" id="outASSESSUSEDTEXT__QID__" valign="top">
Used for this Step
</td>
<td class="outASSESSUSEDSCORE__QID__" id="outASSESSUSEDSCORE__QID__" align="right" valign="top">
-0.0%
</td>
</tr>
<tr class="outSCORESTEP__QID__" id="outSCORESTEP__QID__" colspan="3">
<td class="outSCORESTEPTITLE__QID__" id="outSCORESTEPTITLE__QID__" valign="top">
Score:
</td>
<td class="outSCORESTEPTEXT__QID__" id="outSCORESTEPTEXT__QID__" valign="top">
TOTAL
</td>
<td class="outSCORESTEPSCORE__QID__" id="outSCORESTEPSCORE__QID__" align="right" valign="top">
0.0%
</td>
</tr>
</tbody></table>
</td>
</tr>
</tbody></table>
</div>
<div class="SUGGESTIONS__QID__" id="SUGGESTIONS__QID__" style="display:none">
<table align="center" bgcolor="#EAEAEA" border="1" width="96%">
<tbody><tr>
<td>
<table align="center" border="0" cellspacing="10px" width="96%">
<tbody><tr>
<td colspan="3">
<b>(<outtext class="outNEXTNR__QID__" step="0" id="outNEXTNR__QID__">
0
</outtext>)
<outtext class="bSelectSuggestion__QID__" step="0" id="bSelectSuggestion__QID__">Select Suggestion</outtext></b>
<button type="button" class="bSelectSuggestionOK__QID__" step="0" id="bSelectSuggestionOK__QID__" onclick="vEProof__QID__.selectSuggestion(this.getAttribute('step'))"> OK </button>
<input class="inCONSUGGESTION__QID__" id="inCONSUGGESTION__QID__" style="display:none" type="text">
<input class="inIDSUGGESTION__QID__" id="inIDSUGGESTION__QID__" style="display:none" type="text">
</td>
</tr>
<tr class="SUGGESTIONTR__QID__" step="0" id="SUGGESTIONTR__QID__">
<td class="sugSTEPID__QID__" step="0" id="sugSTEPID__QID__">
[ID]
</td>
<td class="CONSUGGESTION__QID__" step="0" id="CONSUGGESTION__QID__">
<input class="rCONSUGGESTION__QID__" name="rCONSUGGESTION__QID__" id="rCONNUGGESTION__QID__" type="radio">
<outtext class="outCONSUGGESTION__QID__" step="0" id="outCONSUGGESTION__QID__">???</outtext>
</td>
<td class="IDSUGGESTION__QID__" step="0" id="IDSUGGESTION__QID__">
<input class="rIDSUGGESTION__QID__" name="rIDSUGGESTION__QID__" id="rIDNUGGESTION__QID__" type="radio">
<outtext class="outIDSUGGESTION__QID__" step="0" id="outIDSUGGESTION__QID__">Proof Step Def</outtext>
</td>
</tr>
</tbody></table>
</td>
</tr>
</tbody></table>
</div>
</div>
<hr>
<div class="tplCONNECTIONLIST__QID__" id="tplCONNECTIONLIST__QID__">
ConnectionList:
<ul id="ulCONNECTIONLIST__QID__">
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-0">`???`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-1"></eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-2">`=>`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-3">`=`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-4">`<=`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-5">`<`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-6">`>=`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-7">`>`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-8">`subseteq`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-9">`DEF`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-10">`TEXT`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-11">`TYP`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-12">`q.e.d.`</eproofconnection></li>
<li><eproofconnection class="tplCONNECTION__QID__" id="CON-__QID__-13">`LINK-NODE`</eproofconnection></li>
</ul>
</div>
<hr>
<b>Source Step:</b><br>
<div class="SOURCESTEPS__QID__" id="SOURCESTEPS__QID__">$SOURCESTEPS</div>
<hr>
<b>Student Answers:</b><br>
//0:PrevID//1:Con=TYP//2:ID=MY1//3:Just=CK,DU,P1//4:OptJust//5:ManScore=0.9//6:SugUsed//7:AssUsed//8:SelCon//9:SelID//10:SelJUST//11:StepNr
<br>
<textarea class="imathSTUDENTANSWER" name="imathSTUDENTANSWER" id="imathSTUDENTANSWER" rows="10" cols="125" wrap="off"></textarea>
<hr>
<div class="imathSTORAGE" id="imathSTORAGE">
<b>IMathAS Storage (qn1000):</b><br>
<textarea type="text" id="qn1000" name="qn1000" rows="4" cols="125" wrap="off"> </textarea>
</div>
<div class="imathDISPLAYOPTIONandSTEPCOUNT" id="imathDISPLAYOPTIONandSTEPCOUNT">
<b>imathDISPLAYOPTION:</b> <input id="imathDISPLAYOPTION" name="imathDISPLAYOPTION" value="EDITcomplete" type="text">
<hr>
<b>imathSTEPCOUNT:</b> <input id="imathSTEPCOUNT" name="imathSTEPCOUNT" value="0" type="text">
<hr>
</div>
<b>Settings:</b><br>
<textarea class="imathSETTINGS" name="imathSETTINGS" id="imathSETTINGS" rows="4" cols="125" wrap="off"></textarea>
<hr>
<b>Preconditions:</b><br>
<textarea class="imathPRECONDITION" name="imathPRECONDITION" id="imathPRECONDITION" rows="4" cols="125" wrap="off"></textarea>
<hr>
<b>Conclusions:</b><br>
<textarea class="imathCONCLUSION" name="imathCONCLUSION" id="imathCONCLUSION" rows="4" cols="125" wrap="off"></textarea>
<hr>
<b>Justifications:</b><br>
<textarea class="imathJUSTIFICATION" name="imathJUSTIFICATION" id="imathJUSTIFICATION" rows="4" cols="125" wrap="off"></textarea>
<hr>
<b>Proof Steps:</b><br>
<textarea class="imathPROOFSTEP" name="imathPROOFSTEP" id="imathPROOFSTEP" rows="4" cols="125" wrap="off"></textarea>
<hr>
<b>Solutions:</b>
<button type="button" class="bEncode__QID__" id="bEncode__QID__" onclick="vEProof__QID__.encodeSol()">Encode Sol</button>
<br>
<textarea class="imathSOLUTION" name="imathSOLUTION" id="imathSOLUTION" rows="4" cols="125" wrap="off"></textarea>
<hr>
<b>Solutions encrypted:</b>
<button type="button" class="bDecode__QID__" id="bDecode__QID__" onclick="vEProof__QID__.decodeSol()">Decode Sol</button>
<br>
<textarea class="imathENCRYPTED" name="imathENCRYPTED" id="imathENCRYPTED" rows="4" cols="125" wrap="off"></textarea>
<hr>
</div> <!-- END: DIV id=iMathASINOUT -->
<!-- =======IMATH TABLE=================================================== -->
<div class="PROOFCONTROL__QID__" id="PROOFCONTROL__QID__" border="0" bgcolor="#ddf" style="display:none" align="center">
<center>
<table align="center" bgcolor="#ddf" border="0" width="96%">
<tbody><tr class="CONTROLBUTTONS__QID__" id="CONTROLBUTTONS__QID__">
<td align="left">
<button type="button" class="bLOADCONTROL__QID__" id="bLOADCONTROL__QID__" onclick="vEProof__QID__.clickLoad()" style="color:blue">Load</button>
<button type="button" class="bSAVEXMLCONTROL__QID__" id="bSAVEXMLCONTROL__QID__" onclick="vEProof__QID__.clickSaveXML()" style="color:blue">Save</button>
<button type="button" class="bSAVEIMATHCONTROL__QID__" id="bSAVEIMATHCONTROL__QID__" onclick="vEProof__QID__.clickSaveIMathAS()" style="color:blue">IMathAS</button>
<button type="button" class="bPREFERENCES__QID__" id="bPREFERENCES__QID__" onclick="vEProof__QID__.clickPreferences()" style="color:blue">Preferences</button>
-
<button type="button" class="bACKNOWLEDGEMENT__QID__" id="bACKNOWLEDGEMENT__QID__" onclick="document.location.href='http://eproof.weebly.com/acknowledgements.html'" style="display:none">Acknowledgements</button>
<a target="_blank" href="http://eproof.weebly.com/acknowledgements.html">Acknowledgements</a>
-
<a href="http://e-proof.weebly.com/tutorial/e-proof-emulation.html" target="_blanK">Tutorial e-Proof Emulation</a>
</td>
</tr>
<tr class="LOADAREA__QID__" id="LOADAREA__QID__" style="display:none">
<td align="center">
<h2>Load XML-File</h2>
<button type="button" class="bIMPORTCONTROL__QID__" id="bIMPORTCONTROL__QID__" onclick="vEProof__QID__.clickLoadXML()" style="color:blue">Load XML</button>
<button type="button" class="bIMPORTCANCEL__QID__" id="bIMPORTCONTROL__QID__" onclick="vEProof__QID__.clickCloseControl()" style="color:red">Cancel</button><br>
Copy the XML-code for an e-Proof into Textbox and press button [Import e-Proof] to load the new e-Proof.
<br>
<textarea name="tLOAD__QID__" class="tLOAD__QID__" id="tLOAD__QID__" cols="100" rows="13" wrap="off"></textarea>
</td>
</tr>
<tr class="SAVEXMLAREA__QID__" id="SAVEXMLAREA__QID__" style="display:none">
<td align="center">
<h2>SAVE File</h2>
<input class="checkUSESOLUTION__QID__" id="checkUSESOLUTION__QID__" onchange="vEProof__QID__.saveOnChange()" style="display:none" type="checkbox"> <!-- Use Solution -->
<input class="checkSTUDANSWERSOLUTION__QID__" id="checkSTUDANSWERSOLUTION__QID__" checked="checked" onchange="vEProof__QID__.saveOnChange()" type="checkbox"> Student Answer to Solution
<input class="checkENCRYPT__QID__" id="checkENCRYPT__QID__" onchange="vEProof__QID__.saveOnChange()" type="checkbox"> Encrypt IMathAS-Solution
<input class="checkSTUDANSWEREXPORT__QID__" id="checkSTUDANSWEREXPORT__QID__" onchange="vEProof__QID__.saveOnChange()" type="checkbox"> Export Student Answer
<br>
File Format:
<select class="sFILEFORMAT__QID__" id="sFILEFORMAT__QID__" onchange="vEProof__QID__.saveOnChange()">
<option selected="selected" value="XML">XML File</option>
<option value="IMathAS">iMathAS</option>
</select>
<button type="button" class="bEXPORT__QID__" step="0" id="bEXPORT__QID__" onclick="vEProof__QID__.saveOnChange()" style="color:blue">Save</button>
<button type="button" class="bEXPORTCLOSE__QID__" step="0" id="bEXPORTCLOSE__QID__" onclick="vEProof__QID__.clickCloseControl()" style="color:red">Cancel</button>
<br>
<textarea name="tSAVEXML__QID__" class="tSAVEXML__QID__" id="tSAVEXML__QID__" cols="100" rows="13" wrap="off"> </textarea>
</td>
</tr>
<tr class="SAVEIMATHAREA__QID__" id="SAVEIMATHAREA__QID__" style="display:none" wrap="off">
<td align="center">
<h2>SAVE iMathAS-File</h2>
Software-ID (SID):<input class="tSID__QID__" size="6" id="tSID__QID__" name="tSID__QID__" value="_SID" onchange="vEProof__QID__.saveEProofIMath2Form()" type="text">
Question-ID (QID):<input class="tQID__QID__" size="6" id="tQID__QID__" name="tQID__QID__" value="$vQID" onchange="vEProof__QID__.saveEProofIMath2Form()" type="text">
<button type="button" class="bIMPORTCANCEL__QID__" id="bIMPORTCONTROL__QID__" onclick="vEProof__QID__.clickCloseControl()" style="color:red">Cancel</button><br>
<hr>Background Question Text 1:<br>
<textarea name="tSAVEIMATH__QID__" class="tSAVEIMATH__QID__" id="tSAVEIMATH__QID__" cols="100" rows="6" wrap="off"> </textarea>
<hr><tt>eProofJS.html</tt> Export:<br>
<textarea name="tEPROOFJSEXPORT__QID__" class="tEPROOFJSEXPORT__QID__" id="tEPROOFJSEXPORT__QID__" cols="100" rows="6" wrap="off"> </textarea>
<hr><tt>eProofJSauthoring.html</tt> Export:<br>
<textarea name="tAUTHORINGEXPORT__QID__" class="tAUTHORINGEXPORT__QID__" id="tAUTHORINGEXPORT__QID__" cols="100" rows="6" wrap="off"> </textarea>
<hr>Weebly Export:<br>
<textarea name="tWEEBLYEXPORT__QID__" class="tWEEBLYEXPORT__QID__" id="tWEEBLYEXPORT__QID__" cols="100" rows="6" wrap="off"> </textarea>
<div id="exportSETTINGSEXTRA" style="display:none">
<hr>iMathAS - Common Control for Settings:<br>
<textarea name="tIMATHCOMMONCONTROL_I__QID__" class="tIMATHCOMMONCONTROL_I__QID__" id="tIMATHCOMMONCONTROL_I__QID__" cols="100" rows="6" wrap="off"> </textarea>
</div>
</td>
</tr>
<tr class="PREFERENCESAREA__QID__" id="PREFERENCESAREA__QID__" style="display:none">
<td align="center">
<h2>Preferences</h2>
<b class="SETTINGTHEOREMTITLE__QID__" id="SETTINGTHEOREMTITLE__QID__">Setting Theorem Title</b><br>
<button type="button" class="bUPDATESETTINGS__QID__" step="0" id="bUPDATESETTINGS__QID__" onclick="vEProof__QID__.clickSaveXML()" style="color:blue">Save</button>
<button type="button" class="bSETTINGCLOSE__QID__" step="0" id="bSETTINGCLOSE__QID__" onclick="vEProof__QID__.clickCloseControl()" style="color:red">Cancel</button>
<input class="SETTING__QID__" id="SET_Theorem_Label" value="" type="hidden">
<input class="SETTING__QID__" id="SET_Theorem_Title" value="" type="hidden">
<input class="SETTING__QID__" id="SET_ThisQ" value="" type="hidden">
<input class="SETTING__QID__" id="SET_selectbox_proofsteps" value="" type="hidden">
<input class="SETTING__QID__" id="SET_allow_own_proofsteps" value="" type="hidden">
<input class="SETTING__QID__" id="SET_alertDOM" value="" type="hidden">
<input class="SETTING__QID__" id="SET_Offline" value="" type="hidden">
<br>
<div class="PREFERENCESTABLE__QID__" id="PREFERENCESTABLE__QID__">
<table align="center" border="0" width="100%">
<tbody><tr>
<td valign="top">
<b>Author:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_Author" value="Engelbert Niehaus" size="45" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>e-Mail:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_eMail" value="niehaus@uni-landau.de" size="25" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Date:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_Date" value="23.10.2014" size="12" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Comment/Theorem:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_Theorem_Appendix" value="----Init By load Settings---" size="65" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
<!--- Due to quotation problems with \" in value, the init value will be -->
<!-- set via javascript at the very end of this HTML-file -->
</td>
</tr>
<tr valign="top">
<td valign="top">
<b>Language-Code:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_LANGUAGE" value="EN" size="3" onchange="vEProof__QID__.updateSettingValue(this)" type="text"> 'DE' or 'EN'
</td>
</tr>
<tr valign="top">
<td valign="top">
<b>Authoring Mode:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_AuthoringMode" value="0" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Manual Assessment:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_AssessmentMode" value="0" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Show Assessment-Button:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_show_assessment" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Point Reduction per Assessment:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_Assessment_Minus_Percent" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Suggestions for Proof Steps:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_show_suggestions" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Point Reduction for Suggestions:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_Suggestion_Minus_Percent" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Show Solution of Proof:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_show_proof_solution" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Show Load-Save-Control:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_show_Load_Save_Control" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Show Main Control:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_show_Main_Control" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Show External Links:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_show_links" value="1" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>MathJax Format:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_MathFormat" value="20" size="20" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Percent Point Reduction per Error:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_Per_Error_Minus_Percent" value="10" size="3" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Unnecessary Proof Steps:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_unnecessary_proofsteps" value="3" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Unnecessary Connections:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_unnecessary_connections" value="3" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Unnecessary Justifications:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_unnecessary_justifications" value="3" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Randomize Proof-Step:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_randomize_proofstep_IDs" value="0" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
<!-- For option=1 it is necessary to include the Background Code 3.<BR>Check if setting of Question <tt>New version on reattempt?</tt> is set to <tt>'No - Same Version on reattempt'</tt>-->
</td>
</tr>
<tr>
<td valign="top">
<b>Remap Step IDs:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_remap_proofstep_IDs" value="0" size="2" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Crypt Key for Solution:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_cryptkey" value="ASFGHZS" size="10" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Question-ID Common Control:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_COMMONCONTROL" value="4200,4001,4002" size="25" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>Question-ID Question Text:</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_QUESTIONTEXT" value="4001,4002" size="25" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
<tr>
<td valign="top">
<b>QID for e-Proof (unique):</b>
</td>
<td valign="top">
<input class="SETTING__QID__" id="SET_vQID" value="123456" size="17" onchange="vEProof__QID__.updateSettingValue(this)" type="text">
</td>
</tr>
</tbody></table>
</div>
</td>
</tr>
<tr class="TEMPLATEAREA__QID__" id="TEMPLATEAREA__QID__" style="display:none">
<td align="center">
<hr><b>tTPL1 Preconditions</b><br>
<textarea class="tTPLIMATHAS" id="tTPLIMATHAS" cols="125" rows="8">//--------------------------------------------------------------------------------------
//-----e-PROOF
(___THEOREM_LABEL___): ___THEOREM_TITLE___
//--------------------------------------------------------------------------------------
//-----Author:
___AUTHOR___
//-----e-Mail: ___EMAIL___
//-----created: ___DATE___
//--------------------------------------------------------------------------------------
//
//--------------------------------------------------------------------------------------
//-------1-COMMON
CONTROL: Settings and Definition of Theorem and Proof-----------------
//--------------------------------------------------------------------------------------
//
Documentation: see http://e-proof.weebly.com
// e-Proof-Creator: http://e-proof.weebly.com/download--tools.html
//--------------------------------------------------------------------------------------
__do__Theorem_Label
= "___THEOREM_LABEL___"
__do__Theorem_Title = "___THEOREM_TITLE___"
//--------------------------------------------------------------------------------------
__do__Theorem_Appendix
= "___THEOREM_APPENDIX___"
//--------------------------------------------------------------------------------------
//---Point
Reduction per Error or per Used Support Features----
__do__Per_Error_Minus_Percent = ___PER_ERROR_MINUS_PERCENT___ // means
___PER_ERROR_MINUS_PERCENT___% less Points per Error per Step (default
10%)
__do__Assessment_Minus_Percent = ___ASSESSMENT_MINUS_PERCENT___ // means
___ASSESSMENT_MINUS_PERCENT___% less Points per Use of Assessment for
Step (default 100%)
__do__Suggestion_Minus_Percent = ___SUGGESTION_MINUS_PERCENT___ // means
___SUGGESTION_MINUS_PERCENT___% less Points per Use of Suggestions for
Step (default 20%)
//--------------------------------------------------------------------------------------
//-----unnecessary
options make the proof step more difficult---------------------------
//--- ... = 0 means very simple
__do__unnecessary_proofsteps = ___UNNECESSARY_PROOFSTEPS___
__do__unnecessary_connections = ___UNNECESSARY_CONNECTIONS___
__do__unnecessary_justifications = ___UNNECESSARY_JUSTIFICATIONS___
//--------------------------------------------------------------------------------------
//------Use
Values 1 or 0
--------------------------------------------------------------
//--------------------------------------------------------------------------------------
__do__selectbox_proofsteps
= ___SELECTBOX_PROOFSTEPS___
__do__allow_own_proofsteps = ___ALLOW_OWN_PROOFSTEPS___
__do__remap_proofstep_IDs = ___REMAP_PROOFSTEP_IDS___
__do__randomize_proofstep_IDs = ___RANDOMIZE_PROOFSTEP_IDS___
//-----for Novices Users----------------
__do__show_suggestions = "___SHOW_SUGGESTIONS___"
__do__show_assessment = "___SHOW_ASSESSMENT___"
__do__show_proof_solution = "___SHOW_PROOF_SOLUTION___"
//---For AUTHORS/TUTORS-----------------
__do__AuthoringMode = ___AUTHORINGMODE___
__do__AssessmentMode = ___ASSESSMENTMODE___
//---Miscellaneous Settings-------------
___SETTINGS___
//--------------------------------------------------------------------------------------
//
//
//--------------------------------------------------------------
//--------------PRECONDITIONS-----------------------------------
//--------------------------------------------------------------
__do__pi
= 0
___PRECONDITIONS___
//--------------------------------------------------------------
//--------------CONCLUSIONS-------------------------------------
//--------------------------------------------------------------
__do__pi = 0
___CONCLUSIONS___
//--------------------------------------------------------------
//--------------JUSTIFICATIONS----------------------------------
//--------------------------------------------------------------
__do__pi = 0
___JUSTIFICATIONS___
//
//--------------------------------------------------------------
//--------------PROOFSTEPS--------------------------------------
//--------------------------------------------------------------
__do__pi = 0