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Suppose p(x,r) is a polynomial, where r is a parameter. For each r, you could evaluate the roots of p. As r changes, the roots of p changes continuous. What is the theorem that proves this?
Example:
Started by Twinbee on
, 20 posts
by 3 people.
Answer Snippets (Read the full thread at artofproblemsolving):
Therefore, all roots of must cross the imaginary ....
Suppose is a root of , and is a root, the relation is impossible to hold, therefore it cannot be a root.
The roots of lies on a complex plane.
Differentiated.
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Imaginary bloodlust IC
A searing flash of pain bounces through you head as you slowly awaken. Around you the ground seems burned. You clothes are in threads and the rest of your belongings are missing.
And then you remembered.... You were just living...
Started by Moranica on
, 30 posts
by 5 people.
Answer Snippets (Read the full thread at giantitp):
He leaves his vengeance." Re: Imaginary bloodlust ....
Re: Imaginary bloodlust IC
Spoiler
Resource Food Magic Basic Amount 9.4 Amount Out .4 Re: Imaginary bloodlust IC
Tycho looks around him after he handles the barbarian situation.
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I was listening to the roots "Do you want more album" the other day, probably their best album or at least, the most representative
I really feel the sound of this album is pretty unique, a perfect mix between jazz and soul with a perfect rhodes sound...
Started by funk freaka on
, 15 posts
by 7 people.
Answer Snippets (Read the full thread at allaboutjazz):
I love
Hami - The Funky Descendant
Its a jazzy ass album, not quite the same sense as The Roots, which is a fundamental element of the roots of jazz, which got a little lost after the bebop influence an expanded audience with the use of ....
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On Tue, 15 Nov 2011 23:40:04 +0000, Matthieu Schaller <matthieu.schaller@gmail.com
Dear all,
I have recently been playing a lot on numerical analysis problems
containing complex numbers and functions. I have been using the SL
std::complex<weren...
Started by Matthieu Schaller on
, 12 posts
by 6 people.
Answer Snippets (Read the full thread at omgili):
And a kind of imaginary://boost.2283326.n4.nabble....
Comparing imaginary and reals seems confusing to me
///Returns true if x equals y
template<typename expect an implicit conversion to complex as an imaginary is
also a complex.
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Hi all,
Is it possible to separate real and imaginary part of complex number
only with basic operations (add/subtract/multiply/divide)?
It seams that is not possible.
Kind regards,
Vladimir
Started by aspwy@yahoo.com on
, 6 posts
by 5 people.
Answer Snippets (Read the full thread at omgili):
Re(z) = z.r(z)/q(z) On Wed, 5 Aug.
Let r(z) = p(z)/z.
0 = p(0)/q(0).
Hence p(z) = 0.
roots.
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Imaginary Numbers have always confused me.
I get that their squares are negative. And I understand a good way to picture them is on the Y axis if the X axis is Real Numbers. But beyond that I'm completely baffled. What are their practical uses? Do they...
Started by MacIver on
, 20 posts
by 10 people.
Answer Snippets (Read the full thread at rationalskepticism):
This mathematical object has shown us so such failures come down... .
Real represented in the x axis and imaginary in the y axis.
It is plotted using both real and imaginary numbers.
In particular, it is the Mandelbrot Set.
It is a fractal.
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On Wed, 25 Feb 2009 01:03:09 -0800 (PST), Bennett Haselton <bennett@peacefire.org
Something's bugged me about imaginary exponents ever since learning in
high school that e^ix = cos(x) + isin(x). Now that I am passing on my
alleged wisdom to high...
Started by Bennett Haselton on
, 17 posts
by 12 people.
Answer Snippets (Read the full thread at omgili):
Then how do ....
The mathematics is sound: root.) When I teach about
exponents, I usually take the following route (or should that be root roots.
Of fractional exponents, irrational exponents
and even imaginary exponents.
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On Tue, 23 Jun 2009 06:08:24 -0700 (PDT), pavel <pavelmakedonski@yahoo.com
Suggestion of the Roots of Macedonians into Antiquity is a Total
Nonsense
Skopje, June 23rd, 2009, Utrinski daily
http://www.utrinski.com.mk/?ItemID=45ED08226B240E4E82838...
Started by pavel on
, 23 posts
by 10 people.
Answer Snippets (Read the full thread at omgili):
Of the Macedonian Academy) for
"creating (Macedonian) history without roots" ("history" beginning to create
it and that is, the imaginary and fictional connection between your
South Slavonian people
it and that is, the imaginary....
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On Mon, 16 Mar 2009 09:34:54 GMT, Albert <albert.xtheunknown0@gmail.com
Hello:
I have a problem that I'm not able to completely solve yet. It reads:
'Show that the roots of the equation 4(m + 1)x^2 - 4(m - 1)x - 3 = 0 are
real for all real m....
Started by Albert on
, 7 posts
by 5 people.
Answer Snippets (Read the full thread at omgili):
Use the fact that all the roots of a second degree equation are real if
and only if the discriminant Santos <jcsan......
On Mon, 16 Mar 2009 12:25:56 +0100, "Philippe 92" <nospam@free.invalid
José it .
With imaginary roots.
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On Thu, 12 Feb 2009 04:28:31 EST, Zak Seidov <zakseidov@yahoo.com
Simple/silly Q(?)
Take y(x)= a x^2+ b x + x.
If discriminant d = b^2 - 4*a*c isn't negative, then
x_1,2 = (-/+ b - Sqrt[b^2 - 4*a*c])/(2*a)
have clear geometric meaning:
the...
Started by Zak Seidov on
, 4 posts
by 2 people.
Answer Snippets (Read the full thread at omgili):
Geometric meaning of imaginary
roots?" at
<http://groups.google.com/group/sci.math/browse_thread (in the school textbook! while i'm now 70!) the next "geometrical meaning" of the roots x_1,2 if d<0.
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