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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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| 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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{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=}{:=name}{td}h6.addTerm{td}{tr}{tr:id=sig}{td}{span:style= }{span}{span:style= }{span}{span}\ exponent){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} coefficient
\{[Number]} exponent
{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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Div |
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| Adds a term to this polynomial. |
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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( |
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| 2));
{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id= Table Body (tbody) |
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id | findRoot-Number_Number_Number |
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| }{:=}{td}h6.findRoot{td}{tr}{tr:id=sig}{td}{span:style= }[]{span}{span:style= }{span}{span}\ iterations){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} startValue
\{[Number]} error
\{[Number]} iterations
{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Number]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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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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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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{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=getDerivative}{tr:id=name}{td}h6.getDerivative{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}[Polynomial]{span}{span:style=font-weight: bold;}getDerivative{span}{span}\(){span}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Polynomial]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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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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| // 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}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=getDerivativeValue-Number}{tr:id=name}{td}h6.getDerivativeValue{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}[Number]{span}{span:style=font-weight: bold;}getDerivativeValue{span}{span}\(x){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} x
{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Number]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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id | getDerivativeValue-Number |
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getDerivativeValue |
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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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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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{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=getValue-Number}{tr:id=name}{td}h6.getValue{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}[Number]{span}{span:style=font-weight: bold;}getValue{span}{span}\(x){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} x
{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Number]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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Div |
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| Returns the value of this polynomial in a certain point. |
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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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{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=multiplyByPolynomial-Polynomial}{tr:id=name}{td}h6.multiplyByPolynomial{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}void{span}{span:style=font-weight: bold;}multiplyByPolynomial{span}{span}\(polynomial){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Polynomial]} polynomial
{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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id | multiplyByPolynomial-Polynomial |
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multiplyByPolynomial |
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Div |
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| Multiplies this polynomial with another polynomial. |
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Parameters |
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Sample Div |
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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();
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( |
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{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id= Table Body (tbody) |
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id | multiplyByTerm-Number_Number |
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| }{:=}{td}h6.multiplyByTerm{td}{tr}{tr:id=sig}{td}{span:style= | Table Cell (td) |
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multiplyByTerm |
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| }{span}{span:style= }{span}{span}\ {span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} coefficient
\{[Number]} exponent
{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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Div |
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| Multiples this polynomial with a term. |
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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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{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=setToZero}{tr:id=name}{td}h6.setToZero{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}void{span}{span:style=font-weight: bold;}setToZero{span}{span}\(){span}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}
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Div |
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| Sets this polynomial to zero. |
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Sample Div |
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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}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{table} |