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#1 2012-08-23 12:11:42

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

A custom Maxima Riemann sum function

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 (2013-04-18 12:13:46)


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#2 2012-08-24 09:00:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 97,093

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.

If it ain't broke, fix it until it is.

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#3 2012-08-24 09:02:56

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

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).


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

#4 2012-08-24 19:33:46

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 97,093

Re: A custom Maxima Riemann sum function

Hi anonimnystefy;

Nice, but please correct this line in your function:

s:s+ev(f,x=i)*(a-b)/n,

In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#5 2012-08-24 22:09:12

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: A custom Maxima Riemann sum function

Oh yeah. It should be b-a there.


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

#6 2012-08-24 22:23:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 97,093

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.

If it ain't broke, fix it until it is.

Offline

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