VCE Stuff > VCE Mathematics

When do we use the "n" of nInt or nSolve?

(1/1)

dekoyl:
On the CAS calculator, it offers "n" versions of the integral and solve: nInt and nSolve. When do we use the "n" version as opposed to the normal ones?

Thanks.

Mao:
'Solve(expr=expr,var)' is an algebraic method.
'Int(expr,var,x0,x1)' is an algebraic method.
'd(expr,var,x0)' is an algebraic method.
'nSolve(expr=expr,var)' is a numerical method
'nInt(expr,var,x0,x1)' is a numerical method
'nDeriv(expr,var,x0)' is a numerical method

With complicated expressions, algebraic methods can often take a long time, since the algebra can get very very complex, or there is simply no elementary solutions (where algebra simply cannot solve it).
Luckily, questions with complicated expressions usually require a numerical answer. Numerical methods are a lot more processor-friendly compared to intensive algebra, since they use simple calculations, and no algebra.

With simple expressions, the algebraic methods are preferred as they give exact answers, not numerical approximations.

Gloamglozer:

--- Quote from: Mao on September 18, 2009, 07:58:32 am ---'Solve(expr=expr,var)' is an algebraic method.
'Int(expr,var,x0,x1)' is an algebraic method.
'd(expr,var,x0)' is an algebraic method.
'nSolve(expr=expr,var)' is a numerical method
'nInt(expr,var,x0,x1)' is a numerical method
'nDeriv(expr,var,x0)' is a numerical method

With complicated expressions, algebraic methods can often take a long time, since the algebra can get very very complex, or there is simply no elementary solutions (where algebra simply cannot solve it).
Luckily, questions with complicated expressions usually require a numerical answer. Numerical methods are a lot more processor-friendly compared to intensive algebra, since they use simple calculations, and no algebra.

With simple expressions, the algebraic methods are preferred as they give exact answers, not numerical approximations.

--- End quote ---

Mao, so you're saying that by using the "n", it can avoid the massive lag in CAS calculators?  Cos my TI-89 can get really annoying.

Mao:
that is correct, but of course conditions apply, that is only true in some cases.

Navigation

[0] Message Index