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tech / sci.math / Are you imaginary?

Are you imaginary?

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Subject: Are you imaginary?
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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by: mitchr...@gmail.com - Wed, 24 Nov 2021 18:02 UTC

Re: Are you imaginary?

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by: Python - Wed, 24 Nov 2021 18:17 UTC

smitchthekook@gmail.com wrote:
> That math is rightly named...
> it is a formula without a solution.

equivalence class of polynomial X for ~ (defined by P ~ Q iff
P = Q [X^2+1]) exists in R[X]/~

> Because negative one does not
> exist that formula does not...

Negative one is the equivalence class of (0,1) for
~ on N^2 (defined as (a,b) ~ (c,d) iff a+d = b+c.
It is a set of pairs of natural numbers. It definitely
exists.

Why, Smitch, don't you TRY to learn, ONCE?

Re: Are you imaginary?

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by: Serg io - Wed, 24 Nov 2021 18:22 UTC

On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> That math is rightly named...
> it is a formula without a solution.
> Because negative one does not
> exist that formula does not...
>

here you go; -1

happy now ?

it is what happens when Elvis leaves the room, -1.

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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by: mitchr...@gmail.com - Wed, 24 Nov 2021 18:25 UTC

On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> > That math is rightly named...
> > it is a formula without a solution.
> > Because negative one does not
> > exist that formula does not...
> >
> here you go; -1
>
You are going to have to do better.
That is just attaching a minus sing to the only real positive 1.
And that does not exist outside of a subtraction.

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: LORD...@atheist.com (LORD God)
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by: LORD God - Wed, 24 Nov 2021 18:27 UTC

On Wednesday, November 24, 2021 at 12:02:28 PM UTC-6, mitchr...@gmail.com wrote:
>
> That math is rightly named...
> it is a formula without a solution.
> Because negative one does not
> exist that formula does not...
>
https://nrich.maths.org/5961

we already covered that a thousand times mitch,
minus .000...1 is the imaginary number,
its square root is .000...1 itself,
one minus one imaginary,
1 - .999 = .000...1,
shorthand,
0

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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by: mitchr...@gmail.com - Wed, 24 Nov 2021 18:28 UTC

On Wednesday, November 24, 2021 at 10:27:09 AM UTC-8, LORD God wrote:
> On Wednesday, November 24, 2021 at 12:02:28 PM UTC-6, mitchr...@gmail.com wrote:
> >
> > That math is rightly named...
> > it is a formula without a solution.
> > Because negative one does not
> > exist that formula does not...
> >
> https://nrich.maths.org/5961
>
> we already covered that a thousand times mitch,
> minus .000...1 is the imaginary number,
> its square root is .000...1 itself,
> one minus one imaginary,
> 1 - .999 = .000...1,
> shorthand,
> 0

Add zero to .999 repeating and you still get .999 repeating
you do not get 1...

Mitchell Raemsch

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: LORD...@atheist.com (LORD God)
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by: LORD God - Wed, 24 Nov 2021 18:34 UTC

On Wednesday, November 24, 2021 at 12:28:41 PM UTC-6, mitchr...@gmail.com wrote:
> On Wednesday, November 24, 2021 at 10:27:09 AM UTC-8, LORD God wrote:
> > On Wednesday, November 24, 2021 at 12:02:28 PM UTC-6, mitchr...@gmail.com wrote:
> > >
> > > That math is rightly named...
> > > it is a formula without a solution.
> > > Because negative one does not
> > > exist that formula does not...
> > >
> > https://nrich.maths.org/5961
> >
> > we already covered that a thousand times mitch,
> > minus .000...1 is the imaginary number,
> > its square root is .000...1 itself,
> > one minus one imaginary,
> > 1 - .000...1 = .999...
> > shorthand,
> > 0
>
> Add zero to .999 repeating and you still get .999 repeating
> you do not get 1...
>
> Mitchell Raemsch
>
0 is shorthand for .000...1
..000...1 + .999... = 1
0 + .999... = 1

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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by: mitchr...@gmail.com - Wed, 24 Nov 2021 18:41 UTC

On Wednesday, November 24, 2021 at 10:34:35 AM UTC-8, LORD God wrote:
> On Wednesday, November 24, 2021 at 12:28:41 PM UTC-6, mitchr...@gmail.com wrote:
> > On Wednesday, November 24, 2021 at 10:27:09 AM UTC-8, LORD God wrote:
> > > On Wednesday, November 24, 2021 at 12:02:28 PM UTC-6, mitchr...@gmail.com wrote:
> > > >
> > > > That math is rightly named...
> > > > it is a formula without a solution.
> > > > Because negative one does not
> > > > exist that formula does not...
> > > >
> > > https://nrich.maths.org/5961
> > >
> > > we already covered that a thousand times mitch,
> > > minus .000...1 is the imaginary number,
> > > its square root is .000...1 itself,
> > > one minus one imaginary,
> > > 1 - .000...1 = .999...
> > > shorthand,
> > > 0
> >
> > Add zero to .999 repeating and you still get .999 repeating
> > you do not get 1...
> >
> > Mitchell Raemsch
> >

> 0 + .999... = 1

No. .999 repeating + 0 is still .999 repeating...
Prove otherwise.

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: LORD...@atheist.com (LORD God)
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by: LORD God - Wed, 24 Nov 2021 18:52 UTC

On Wednesday, November 24, 2021 at 12:41:12 PM UTC-6, mitchr...@gmail.com wrote:
> On Wednesday, November 24, 2021 at 10:34:35 AM UTC-8, LORD God wrote:
> > On Wednesday, November 24, 2021 at 12:28:41 PM UTC-6, mitchr...@gmail.com wrote:
> > > On Wednesday, November 24, 2021 at 10:27:09 AM UTC-8, LORD God wrote:
> > > > On Wednesday, November 24, 2021 at 12:02:28 PM UTC-6, mitchr...@gmail.com wrote:
> > > > >
> > > > > That math is rightly named...
> > > > > it is a formula without a solution.
> > > > > Because negative one does not
> > > > > exist that formula does not...
> > > > >
> > > > https://nrich.maths.org/5961
> > > >
> > > > we already covered that a thousand times mitch,
> > > > minus .000...1 is the imaginary number,
> > > > its square root is .000...1 itself,
> > > > one minus one imaginary,
> > > > 1 - .000...1 = .999...
> > > > shorthand,
> > > > 0
> > >
> > > Add zero to .999 repeating and you still get .999 repeating
> > > you do not get 1...
> > >
> > > Mitchell Raemsch
> > >
> > 0 + .999... = 1
>
> No. .999 repeating + 0 is still .999 repeating...
> Prove otherwise.
>
> > 0 is shorthand for .000...1
> > .000...1 + .999... = 1
> > 0 + .999... = 1

Again?

Re: Are you imaginary?

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: Are you imaginary?
Date: Wed, 24 Nov 2021 15:05:29 -0500
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by: Michael Moroney - Wed, 24 Nov 2021 20:05 UTC

On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
> On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
>> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
>>> That math is rightly named...
>>> it is a formula without a solution.
>>> Because negative one does not
>>> exist that formula does not...
>>>
>> here you go; -1
>>
> You are going to have to do better.
> That is just attaching a minus sing to the only real positive 1.
> And that does not exist outside of a subtraction.
>

But it does. I can have an electric charge of -1 coulombs just as easily
as a charge of +1 coulombs.

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: Alt.Athe...@aol.com (Alt Atheism)
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by: Alt Atheism - Wed, 24 Nov 2021 22:06 UTC

On Wednesday, November 24, 2021 at 2:05:35 PM UTC-6, Michael Moroney wrote:
> On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
> > On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
> >> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> >>> That math is rightly named...
> >>> it is a formula without a solution.
> >>> Because negative one does not
> >>> exist that formula does not...
> >>>
> >> here you go; -1
> >>
> > You are going to have to do better.
> > That is just attaching a minus sing to the only real positive 1.
> > And that does not exist outside of a subtraction.
> >
> But it does. I can have an electric charge of -1 coulombs just as easily
> as a charge of +1 coulombs.

Electricians all know minus 1 A-s
is much less than plus 1 A-s
see math real line proof

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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by: mitchr...@gmail.com - Thu, 25 Nov 2021 03:59 UTC

On Wednesday, November 24, 2021 at 12:05:35 PM UTC-8, Michael Moroney wrote:
> On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
> > On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
> >> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> >>> That math is rightly named...
> >>> it is a formula without a solution.
> >>> Because negative one does not
> >>> exist that formula does not...
> >>>
> >> here you go; -1
> >>
> > You are going to have to do better.
> > That is just attaching a minus sing to the only real positive 1.
> > And that does not exist outside of a subtraction.
> >
> But it does. I can have an electric charge of -1 coulombs just as easily
> as a charge of +1 coulombs.

Those are man's relatives.
Show how ions prove negative quantities.
It only shows less positive quantities.

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: zelos.ma...@gmail.com (zelos...@gmail.com)
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by: zelos...@gmail.com - Thu, 25 Nov 2021 05:30 UTC

onsdag 24 november 2021 kl. 19:02:28 UTC+1 skrev mitchr...@gmail.com:
> That math is rightly named...
> it is a formula without a solution.
> Because negative one does not
> exist that formula does not...

false

x^2+1=0

has 2 solutions
i and -i

as always, you are wrong

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: zelos.ma...@gmail.com (zelos...@gmail.com)
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by: zelos...@gmail.com - Thu, 25 Nov 2021 05:32 UTC

onsdag 24 november 2021 kl. 19:25:34 UTC+1 skrev mitchr...@gmail.com:
> On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
> > On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> > > That math is rightly named...
> > > it is a formula without a solution.
> > > Because negative one does not
> > > exist that formula does not...
> > >
> > here you go; -1
> >
> You are going to have to do better.
> That is just attaching a minus sing to the only real positive 1.
> And that does not exist outside of a subtraction.

you are wrong on all accounts there. It exists as a negative :)

Because we have in reals that for all a there exists a b such that a+b=0

that means b is the negative of a

Re: Are you imaginary?

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: Are you imaginary?
Date: Thu, 25 Nov 2021 00:50:48 -0500
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by: Michael Moroney - Thu, 25 Nov 2021 05:50 UTC

On 11/24/2021 10:59 PM, mitchr...@gmail.com wrote:
> On Wednesday, November 24, 2021 at 12:05:35 PM UTC-8, Michael Moroney wrote:
>> On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
>>> On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
>>>> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
>>>>> That math is rightly named...
>>>>> it is a formula without a solution.
>>>>> Because negative one does not
>>>>> exist that formula does not...
>>>>>
>>>> here you go; -1
>>>>
>>> You are going to have to do better.
>>> That is just attaching a minus sing to the only real positive 1.
>>> And that does not exist outside of a subtraction.
>>>
>> But it does. I can have an electric charge of -1 coulombs just as easily
>> as a charge of +1 coulombs.
>
> Those are man's relatives.

How is electric charge related to humans?

> Show how ions prove negative quantities.

Look at the forces they generate.

> It only shows less positive quantities.

Nope. A positively charged proton attracts an electron at a given
distance with a certain force. A negatively charged electron at the
same distance repels the other electron with the same magnitude force.
"Less positive" would mean less attraction, not repulsion. Also there
is a definite zero point. Zero charge produces zero force on other charges.
>

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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by: mitchr...@gmail.com - Thu, 25 Nov 2021 18:08 UTC

On Wednesday, November 24, 2021 at 9:50:55 PM UTC-8, Michael Moroney wrote:
> On 11/24/2021 10:59 PM, mitchr...@gmail.com wrote:
> > On Wednesday, November 24, 2021 at 12:05:35 PM UTC-8, Michael Moroney wrote:
> >> On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
> >>> On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
> >>>> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> >>>>> That math is rightly named...
> >>>>> it is a formula without a solution.
> >>>>> Because negative one does not
> >>>>> exist that formula does not...
> >>>>>
> >>>> here you go; -1
> >>>>
> >>> You are going to have to do better.
> >>> That is just attaching a minus sing to the only real positive 1.
> >>> And that does not exist outside of a subtraction.
> >>>
> >> But it does. I can have an electric charge of -1 coulombs just as easily
> >> as a charge of +1 coulombs.
> >
> > Those are man's relatives.
> How is electric charge related to humans?
> > Show how ions prove negative quantities.
> Look at the forces they generate.
> > It only shows less positive quantities.
> Nope. A positively charged proton attracts an electron at a given
> distance with a certain force. A negatively charged electron at the
> same distance repels the other electron with the same magnitude force.
> "Less positive" would mean less attraction, not repulsion. Also there
> is a definite zero point. Zero charge produces zero force on other charges.
> >

You don't have negative electrons you have less electrons
in an ion instead...

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
From: zelos.ma...@gmail.com (zelos...@gmail.com)
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by: zelos...@gmail.com - Fri, 26 Nov 2021 05:29 UTC

torsdag 25 november 2021 kl. 19:08:37 UTC+1 skrev mitchr...@gmail.com:
> On Wednesday, November 24, 2021 at 9:50:55 PM UTC-8, Michael Moroney wrote:
> > On 11/24/2021 10:59 PM, mitchr...@gmail.com wrote:
> > > On Wednesday, November 24, 2021 at 12:05:35 PM UTC-8, Michael Moroney wrote:
> > >> On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
> > >>> On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
> > >>>> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
> > >>>>> That math is rightly named...
> > >>>>> it is a formula without a solution.
> > >>>>> Because negative one does not
> > >>>>> exist that formula does not...
> > >>>>>
> > >>>> here you go; -1
> > >>>>
> > >>> You are going to have to do better.
> > >>> That is just attaching a minus sing to the only real positive 1.
> > >>> And that does not exist outside of a subtraction.
> > >>>
> > >> But it does. I can have an electric charge of -1 coulombs just as easily
> > >> as a charge of +1 coulombs.
> > >
> > > Those are man's relatives.
> > How is electric charge related to humans?
> > > Show how ions prove negative quantities.
> > Look at the forces they generate.
> > > It only shows less positive quantities.
> > Nope. A positively charged proton attracts an electron at a given
> > distance with a certain force. A negatively charged electron at the
> > same distance repels the other electron with the same magnitude force.
> > "Less positive" would mean less attraction, not repulsion. Also there
> > is a definite zero point. Zero charge produces zero force on other charges.
> > >
> You don't have negative electrons you have less electrons
> in an ion instead...
the electron has negative charge and positron has positive charge.

Re: Are you imaginary?

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: Are you imaginary?
Date: Fri, 26 Nov 2021 01:10:49 -0500
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by: Michael Moroney - Fri, 26 Nov 2021 06:10 UTC

On 11/25/2021 1:08 PM, mitchr...@gmail.com wrote:
> On Wednesday, November 24, 2021 at 9:50:55 PM UTC-8, Michael Moroney wrote:
>> On 11/24/2021 10:59 PM, mitchr...@gmail.com wrote:
>>> On Wednesday, November 24, 2021 at 12:05:35 PM UTC-8, Michael Moroney wrote:
>>>> On 11/24/2021 1:25 PM, mitchr...@gmail.com wrote:
>>>>> On Wednesday, November 24, 2021 at 10:22:27 AM UTC-8, Serg io wrote:
>>>>>> On 11/24/2021 12:02 PM, mitchr...@gmail.com wrote:
>>>>>>> That math is rightly named...
>>>>>>> it is a formula without a solution.
>>>>>>> Because negative one does not
>>>>>>> exist that formula does not...
>>>>>>>
>>>>>> here you go; -1
>>>>>>
>>>>> You are going to have to do better.
>>>>> That is just attaching a minus sing to the only real positive 1.
>>>>> And that does not exist outside of a subtraction.
>>>>>
>>>> But it does. I can have an electric charge of -1 coulombs just as easily
>>>> as a charge of +1 coulombs.
>>>
>>> Those are man's relatives.
>> How is electric charge related to humans?
>>> Show how ions prove negative quantities.
>> Look at the forces they generate.
>>> It only shows less positive quantities.
>> Nope. A positively charged proton attracts an electron at a given
>> distance with a certain force. A negatively charged electron at the
>> same distance repels the other electron with the same magnitude force.
>> "Less positive" would mean less attraction, not repulsion. Also there
>> is a definite zero point. Zero charge produces zero force on other charges.
>>>
>
> You don't have negative electrons you have less electrons
> in an ion instead...
>
Smitch, the electron has a negative charge all by itself!

Re: Are you imaginary?

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Are you imaginary?
Date: Thu, 25 Nov 2021 22:16:16 -0800
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by: Chris M. Thomasson - Fri, 26 Nov 2021 06:16 UTC

Re: Are you imaginary?

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Subject: Re: Are you imaginary?
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by: mitchr...@gmail.com - Fri, 26 Nov 2021 17:56 UTC

On Thursday, November 25, 2021 at 10:16:26 PM UTC-8, Chris M. Thomasson wrote:
> On 11/24/2021 10:02 AM, mitchr...@gmail.com wrote:
> > That math is rightly named...
> > it is a formula without a solution.
> > Because negative one does not
> > exist that formula does not...
> >
> You are a con artist right?

That is just your imagination.
That math is named right.
It is a formula without a solution..

Mitchell Raemsch

Re: Are you imaginary?

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From: er...@cvbs.nc (Brain Hubbs)
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Subject: Re: Are you imaginary?
Date: Fri, 26 Nov 2021 18:00:43 -0000 (UTC)
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by: Brain Hubbs - Fri, 26 Nov 2021 18:00 UTC

Re: Are you imaginary?

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by: mitchr...@gmail.com - Fri, 26 Nov 2021 18:30 UTC

On Friday, November 26, 2021 at 10:00:53 AM UTC-8, Brain Hubbs wrote:
> mitchr...@gmail.com wrote:
>
> >> You are a con artist right?
> >
> > That is just your imagination. That math is named right.
> > It is a formula without a solution..
> Spasiba, Mockba.

It is named right.
Because in math it is a formula alone
and not a solution.

RE: Are you imaginary?

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From: earle.jo...@comcast.net (Earle Jones)
Subject: RE: Are you imaginary?
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by: Earle Jones - Sat, 27 Nov 2021 19:47 UTC

On Wed Nov 24 10:02:23 2021 "mitchr...@gmail.com" wrote:
> That math is rightly named...
> it is a formula without a solution.
> Because negative one does not
> exist that formula does not...
* Mitchell: Are you familiar with "The fundamental theorem of algebra"? (Gauss, 1799)

Simply, it says: Every poloynomial equation of degree 'n' has 'n' roots.

Example: x^2 -3x + 2 = 0 (This equation is of degree '2' and therefore has two roots.)

The two "roots" are 1 and 2. {Check this: (x-1) times (x-2) = x^2 - 3x + 2) -- it checks!}

Another Example" x^2 + 3x + 3= 0

Please find the two roots.

earle
*

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by: mitchr...@gmail.com - Sat, 27 Nov 2021 19:51 UTC

On Saturday, November 27, 2021 at 11:47:39 AM UTC-8, Earle Jones wrote:
> On Wed Nov 24 10:02:23 2021 "mitchr...@gmail.com" wrote:
> > That math is rightly named...
> > it is a formula without a solution.
> > Because negative one does not
> > exist that formula does not...
> *
> Mitchell: Are you familiar with "The fundamental theorem of algebra"? (Gauss, 1799)
>

new algebra has only a single positive quandrant.
No negative polynomial solutions belong. No negative quantities
just subtraction negative with a limit.

Mitchell Raemsch

Re: Are you imaginary?

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by: Python - Sat, 27 Nov 2021 20:27 UTC

schmitchisanidiot@gmail.com schwrote:
> On Saturday, November 27, 2021 at 11:47:39 AM UTC-8, Earle Jones wrote:
>> On Wed Nov 24 10:02:23 2021 "mitchr...@gmail.com" wrote:
>>> That math is rightly named...
>>> it is a formula without a solution.
>>> Because negative one does not
>>> exist that formula does not...
>> *
>> Mitchell: Are you familiar with "The fundamental theorem of algebra"? (Gauss, 1799)
>>
>
> new algebra has only a single positive quandrant.
> No negative polynomial solutions belong. No negative quantities
> just subtraction negative with a limit.

So your "new algebra" is weak, Smitch. You can stuff it into
your puffy ass. We will keep the stronger real algebra.

Subject	Author
Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Python
Re: Are you imaginary?	Serg io
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Michael Moroney
Re: Are you imaginary?	Alt Atheism
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Michael Moroney
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	zelos...@gmail.com
Re: Are you imaginary?	Michael Moroney
Re: Are you imaginary?	zelos...@gmail.com
Re: Are you imaginary?	LORD God
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	LORD God
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	LORD God
Re: Are you imaginary?	zelos...@gmail.com
Re: Are you imaginary?	Chris M. Thomasson
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Brain Hubbs
Re: Are you imaginary?	mitchr...@gmail.com
RE: Are you imaginary?	Earle Jones
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Python
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Serg io
Re: Are you imaginary?	konyberg
Re: Are you imaginary?	mitchr...@gmail.com
RE: Re: Are you imaginary?	Earle Jones
Re: Are you imaginary?	Serg io
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	zelos...@gmail.com
Re: Are you imaginary?	Chris M. Thomasson
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Chris M. Thomasson
Re: Are you imaginary?	Python
Re: Are you imaginary?	zelos...@gmail.com
Re: Are you imaginary?	mitchr...@gmail.com
Re: Are you imaginary?	Serg io
Re: Are you imaginary?	mitchr...@gmail.com
RE: Re: Are you imaginary?	Earle Jones
Mitch can Alexander Fetter, John Lipa, William Little, Douglas	Archimedes Plutonium