# Try iota

• Feb 15th 2006, 07:14 AM
abu
Try iota
Just try fittin in iota in your calculus equations.
eg. x^2 = - (ix)^2
you can then use e^i@ = cos(@) + i sin(@)
try it this idea is a serious whirlwind.
• Feb 15th 2006, 07:21 AM
MathGuru
Serious?
Can you further explain what you are trying to say here?
• Feb 15th 2006, 09:43 AM
CaptainBlack
Quote:

Originally Posted by MathGuru
Can you further explain what you are trying to say here?

Perhaps he's trying to say that the use of complex variables makes many
problems simpler.

RonL
• Feb 15th 2006, 09:46 AM
MathGuru
have you ever heard of i being referred to as iota?
• Feb 15th 2006, 10:29 AM
CaptainBlack
Quote:

Originally Posted by MathGuru
have you ever heard of i being referred to as iota?

Perhaps in Greece?

RonL
• Feb 15th 2006, 10:45 AM
MathGuru
iota
I think abu is from India (I looked up the IP address), but ok.
• Feb 16th 2006, 06:59 AM
abu
Yes I Am An Indian
Yes i am saying it makes problemz simpler, you can also use it if u dont remember a formula etc.

for example (let | be the integration sign)

| root of(a^2 - x^2) dx = | root of(x^2 + a^2) dx

this worx as i is not dependent on x

but is i a const?
• Feb 16th 2006, 08:51 AM
CaptainBlack
Quote:

Originally Posted by abu
Yes i am saying it makes problemz simpler, you can also use it if u dont remember a formula etc.

for example (let | be the integration sign)

| root of(a^2 - x^2) dx = | root of(x^2 + a^2) dx

this worx as i is not dependent on x

but is i a const?

If this were an identity it would be true when $a=0$,
but:

$
\int \sqrt(-x^2)\ dx=\int \sqrt(x^2)\ dx
$

so:

$
i\ \int |x| dx = \int |x| dx
$

which is false even if we throw in a random $\pm$ sign or two

RonL
• Feb 16th 2006, 10:37 AM
dud
Cut and paste from wikipedia:

"The lowercase Iota symbol is sometimes used to write the imaginary unit but more often latin i or latin j are used."

Sounds good to me! :p