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#1 2012-08-24 10:11:42
- anonimnystefy
- Real Member
Online
A custom Maxima Riemann sum function
Code:
integraten(f,a,b,n):=sum(ev(f,x=a+i*(b-a)/n)*(b-a)/n,i,0,n-1);
Last edited by anonimnystefy (2013-04-19 10:13:46)
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#2 2012-08-25 07:00:01
- bobbym
- Administrator
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Re: A custom Maxima Riemann sum function
Hi;
What does ev do?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#3 2012-08-25 07:02:56
- anonimnystefy
- Real Member
Online
Re: A custom Maxima Riemann sum function
ev(expresson in x, x=value) evaluates the expression at a specified value of the variable x (or any variable which the expression is given with).
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#4 2012-08-25 17:33:46
- bobbym
- Administrator
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Re: A custom Maxima Riemann sum function
Hi anonimnystefy;
Nice, but please correct this line in your function:
Code:
s:s+ev(f,x=i)*(a-b)/n,
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#5 2012-08-25 20:09:12
- anonimnystefy
- Real Member
Online
Re: A custom Maxima Riemann sum function
Oh yeah. It should be b-a there.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#6 2012-08-25 20:23:56
- bobbym
- Administrator
Offline
Re: A custom Maxima Riemann sum function
Hi;
That is exactly right.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.