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| Method Details |
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id | addPolynomial-Polynomial |
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addPolynomial |
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Div |
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| Adds another polynomial to this polynomial. |
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Parameters |
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Sample Div |
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| // (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
var base = plugins.amortization.newPolynomial();
base.addTerm(1, 1);
base.addTerm(1, 0);
base.multiplyByTerm(1, i);
base.multiplyByTerm(i + 1, 0);
eq.addPolynomial(base);
}
application.output(eq.getValue(2)); |
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Table Body (tbody) |
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Span |
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(coefficient, exponent) |
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Table Row (tr) |
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Div |
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| Adds a term to this polynomial. |
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Table Row (tr) |
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Parameters |
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Sample Div |
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| Code Block |
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| // (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
var base = plugins.amortization.newPolynomial();
base.addTerm(1, 1);
base.addTerm(1, 0);
base.multiplyByTerm(1, i);
base.multiplyByTerm(i + 1, 0);
eq.addPolynomial(base);
}
application.output(eq.getValue(2)); |
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Table Body (tbody) |
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id | findRoot-Number_Number_Number |
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Span |
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(startValue, error, iterations) |
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Div |
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| Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision. |
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Table Row (tr) |
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Parameters |
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Sample Div |
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| // Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
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| base1 base10 basemultiplyByTerm1i
base.multiplyByTerm(i + 1, 0);
eq.addPolynomial(base);
}
application.output(eq.getValue(2));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=983B6176-495C-4FD2-A15A-806360B20262}{tr:id=name}{td}h6.addTerm{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}addTerm{span}{span:id=iets|style=float: left;}\(coefficient, exponent){span}{td}{tr}{tr:id=des}{td}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_des|text=|trigger=button}{sub-section}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_des|trigger=none|class=sIndent}Adds a term to this polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:983B6176-495C-4FD2-A15A-806360B20262_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_prs|trigger=none}coefficient
exponent
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:983B6176-495C-4FD2-A15A-806360B20262_ret|text=|trigger=button}{sub-section}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:983B6176-495C-4FD2-A15A-806360B20262_see|text=|trigger=button}{sub-section}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:983B6176-495C-4FD2-A15A-806360B20262_see|text=|trigger=button}{sub-section}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:983B6176-495C-4FD2-A15A-806360B20262_sam|text=|trigger=button}{sub-section}{sub-section:983B6176-495C-4FD2-A15A-806360B20262_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point."); |
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getDerivative |
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Div |
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| Returns a polynomial that holds the derivative of this polynomial. |
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Sample Div |
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| Code Block |
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| // Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point."); |
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Table Body (tbody) |
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id | getDerivativeValue-Number |
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getDerivativeValue |
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Table Row (tr) |
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Div |
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| Returns the value of the derivative of this polynomial in a certain point. |
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Table Row (tr) |
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Parameters |
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Table Row (tr) |
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Sample Div |
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| Code Block |
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| // Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point."); |
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{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=10A99EBD-02FE-4349-A917-4D5A6817EDBA}{tr:id=name}{td}h6.findRoot{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Number]{span}{span:id=iets|style=float: left; font-weight: bold;}findRoot{span}{span:id=iets|style=float: left;}\(startValue, error, iterations){span}{td}{tr}{tr:id=des}{td}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_des|text=|trigger=button}{sub-section}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_des|trigger=none|class=sIndent}Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_prs|trigger=none}startValue
error
iterations
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_ret|text=|trigger=button}{sub-section}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_see|text=|trigger=button}{sub-section}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_see|text=|trigger=button}{sub-section}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_sam|text=|trigger=button}{sub-section}{sub-section:10A99EBD-02FE-4349-A917-4D5A6817EDBA_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=E3147BC5-74FF-4E79-919E-682F67CFB2AA}{tr:id=name}{td}h6.getDerivative{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Polynomial]{span}{span:id=iets|style=float: left; font-weight: bold;}getDerivative{span}{span:id=iets|style=float: left;}\(){span}{td}{tr}{tr:id=des}{td}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_des|text=|trigger=button}{sub-section}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_des|trigger=none|class=sIndent}Returns a polynomial that holds the derivative of this polynomial.{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=prs}{td}*Parameters*\\{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_prs|trigger=none}{sub-section}{div}{td}{tr}{builder-show}{tr:id=ret}{td}*Returns*\\{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_ret|text=|trigger=button}{sub-section}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_ret|trigger=none|class=sIndent}[Polynomial]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_see|text=|trigger=button}{sub-section}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_see|text=|trigger=button}{sub-section}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_sam|text=|trigger=button}{sub-section}{sub-section:E3147BC5-74FF-4E79-919E-682F67CFB2AA_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=C3A87674-2F79-44A6-ABE7-3B5914295882}{tr:id=name}{td}h6.getDerivativeValue{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Number]{span}{span:id=iets|style=float: left; font-weight: bold;}getDerivativeValue{span}{span:id=iets|style=float: left;}\(x){span}{td}{tr}{tr:id=des}{td}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_des|text=|trigger=button}{sub-section}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_des|trigger=none|class=sIndent}Returns the value of the derivative of this polynomial in a certain point.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_prs|trigger=none}x
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_ret|text=|trigger=button}{sub-section}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_see|text=|trigger=button}{sub-section}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_see|text=|trigger=button}{sub-section}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_sam|text=|trigger=button}{sub-section}{sub-section:C3A87674-2F79-44A6-ABE7-3B5914295882_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=1BECB070-D283-43AA-B322-647108A98F11}{tr:id=name}{td}h6.getValue{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Number]{span}{span:id=iets|style=float: left; font-weight: bold;}getValue{span}{span:id=iets|style=float: left;}\(x){span}{td}{tr}{tr:id=des}{td}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_des|text=|trigger=button}{sub-section}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_des|trigger=none|class=sIndent}Returns the value of this polynomial in a certain point.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:1BECB070-D283-43AA-B322-647108A98F11_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_prs|trigger=none}x
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:1BECB070-D283-43AA-B322-647108A98F11_ret|text=|trigger=button}{sub-section}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:1BECB070-D283-43AA-B322-647108A98F11_see|text=|trigger=button}{sub-section}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:1BECB070-D283-43AA-B322-647108A98F11_see|text=|trigger=button}{sub-section}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:1BECB070-D283-43AA-B322-647108A98F11_sam|text=|trigger=button}{sub-section}{sub-section:1BECB070-D283-43AA-B322-647108A98F11_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=6820F5B5-EE98-49D3-A9F5-A2A0B396377B}{tr:id=name}{td}h6.multiplyByPolynomial{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}multiplyByPolynomial{span}{span:id=iets|style=float: left;}\(polynomial){span}{td}{tr}{tr:id=des}{td}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_des|text=|trigger=button}{sub-section}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_des|trigger=none|class=sIndent}Multiplies this polynomial with another polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_prs|trigger=none}polynomial
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_ret|text=|trigger=button}{sub-section}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_see|text=|trigger=button}{sub-section}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_see|text=|trigger=button}{sub-section}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_sam|text=|trigger=button}{sub-section}{sub-section:6820F5B5-EE98-49D3-A9F5-A2A0B396377B_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation (x+1)*(x+2) = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(1, 1);
eq.addTerm(1, 0);
var eq2 = plugins.amortization.newPolynomial();
eq2.addTerm(1, 1);
eq2.addTerm(2, 0);
eq.multiplyByPolynomial(eq2);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=ECD0E437-564B-4F8B-AF8D-9E03963154A9}{tr:id=name}{td}h6.multiplyByTerm{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}multiplyByTerm{span}{span:id=iets|style=float: left;}\(coefficient, exponent){span}{td}{tr}{tr:id=des}{td}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_des|text=|trigger=button}{sub-section}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_des|trigger=none|class=sIndent}Multiples this polynomial with a term.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_prs|trigger=none}coefficient
exponent
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_ret|text=|trigger=button}{sub-section}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_see|text=|trigger=button}{sub-section}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_see|text=|trigger=button}{sub-section}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_sam|text=|trigger=button}{sub-section}{sub-section:ECD0E437-564B-4F8B-AF8D-9E03963154A9_sam|class=sIndent|trigger=none}{code:language=javascript}
// (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq Table Body (tbody) |
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Div |
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| Returns the value of this polynomial in a certain point. |
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Table Row (tr) |
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Parameters |
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Sample Div |
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| // Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point."); |
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Table Body (tbody) |
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id | multiplyByPolynomial-Polynomial |
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| Table Row (tr) |
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| Table Cell (td) |
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multiplyByPolynomial |
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Table Row (tr) |
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Div |
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| Multiplies this polynomial with another polynomial. |
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Table Row (tr) |
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Parameters |
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Table Row (tr) |
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| Table Cell (td) |
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Sample Div |
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| Code Block |
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| // Model the quadratic equation (x+1)*(x+2) = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(1, 1);
eq.addTerm(1, 0);
var eq2 = plugins.amortization.newPolynomial();
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| for (var i = 0; i < 4; i++)
{
var base = plugins.amortization.newPolynomial();
base.addTerm(1, 1);
base.addTerm(1, 0);
base.multiplyByTerm(1, i);
base.multiplyByTerm(i + 1, 0);
eq.addPolynomial(base);
}
application.output(eq.getValue(2));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=BF23A82F-514E-425B-8650-A342BC11EE6F}{tr:id=name}{td}h6.setToZero{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}setToZero{span}{span:id=iets|style=float: left;}\(){span}{td}{tr}{tr:id=des}{td}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_des|text=|trigger=button}{sub-section}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_des|trigger=none|class=sIndent}Sets this polynomial to zero.{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=prs}{td}*Parameters*\\{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_prs|trigger=none}{sub-section}{div}{td}{tr}{builder-show}{tr:id=ret}{td}*Returns*\\{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_ret|text=|trigger=button}{sub-section}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_see|text=|trigger=button}{sub-section}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_see|text=|trigger=button}{sub-section}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_sam|text=|trigger=button}{sub-section}{sub-section:BF23A82F-514E-425B-8650-A342BC11EE6F_sam|class=sIndent|trigger=none}{code:language=javascript}
eq2.addTerm(1, 1);
eq2.addTerm(2, 0);
eq.multiplyByPolynomial(eq2);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2)); |
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Table Body (tbody) |
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id | multiplyByTerm-Number_Number |
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| Table Row (tr) |
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| Table Cell (td) |
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multiplyByTerm |
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Table Row (tr) |
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| Table Cell (td) |
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Span |
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(coefficient, exponent) |
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Table Row (tr) |
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| Table Cell (td) |
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Div |
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| Multiples this polynomial with a term. |
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Table Row (tr) |
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| Table Cell (td) |
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Parameters |
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Table Row (tr) |
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| Table Cell (td) |
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Sample Div |
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| Code Block |
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| // (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
var base = plugins.amortization.newPolynomial();
base.addTerm(1, 1);
base.addTerm(1, 0);
base.multiplyByTerm(1, i);
base.multiplyByTerm(i + 1, 0);
eq.addPolynomial(base);
}
application.output(eq.getValue(2)); |
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Table Body (tbody) |
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| Table Row (tr) |
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| Table Cell (td) |
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Div |
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| Sets this polynomial to zero. |
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Table Row (tr) |
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| Table Cell (td) |
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Sample Div |
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| Code Block |
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| var eq = plugins.amortization.newPolynomial();
eq.addTerm(2, 3);
application.output(eq.getValue(1.1));
eq.setToZero();
application.output(eq.getValue(1.1)); |
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{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{table} |