# Re: Infinite loop

Keith Thompson said:

Richard Heathfield <rjh@xxxxxxxxxxxxxxx> writes:
Malcolm McLean said:
[...]
The final problem in mathematics is that the funny-looking E
notation used for sums, conventionally, takes integral indices.

I've never seen /that/ written down anywhere. But okay - using only
integral indices, how would you, for example, sum the area under the
curve of y = x*x, between x = 0 and x = 1?
[...]

That would be an integral, not a summation (which uses the
"funny-looking E", also known as Sigma).

<shrug> I certainly don't claim to be a mathematician but, if I remember
my schooldays correctly, you can approximate the area under a curve by
summing the areas of a series of narrow strips. I can understand that
you might have some special meaning for "summation" which doesn't
include this particular technique, but nobody mentioned "summation"
until you did, I think. Just "notation used for sums". Why would such
summing as I have described not constitute a sum?

--
Richard Heathfield
"Usenet is a strange place" - dmr 29/7/1999
http://www.cpax.org.uk
email: rjh at the above domain, - www.
.

## Relevant Pages

• Re: Infinite loop
... used for sums, conventionally, takes integral indices. ... It's not uncommon to use fractional indices, or summations that ... to have an integral index. ...
(comp.lang.c)
• Re: [OT] Infinite loop
... notation used for sums, conventionally, takes integral indices. ... not a summation (which uses the ... summing the areas of a series of narrow strips. ... Just "notation used for sums". ...
(comp.lang.c)
• Re: Infinite loop
... used for sums, conventionally, takes integral indices. ... But okay - using only ... It's worth noting, though, that the sigma notation doesn't require that ...
(comp.lang.c)
• Re: Infinite loop
... Richard Heathfield writes: ... used for sums, conventionally, takes integral indices. ... But okay - using only ...
(comp.lang.c)
• Re: Infinite loop
... integral indices, how would you, for example, sum the area under the ... I can understand that you might have some special meaning for "summation" which doesn't include this particular technique, but nobody mentioned "summation" until you did, I think. ... Just "notation used for sums". ... Why would such summing as I have described not constitute a sum? ...
(comp.lang.c)