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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,366

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,366

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,366

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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