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•  » Define the intersection points of polynomials

## #26 2013-06-20 23:25:28

bobbym

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### Re: Define the intersection points of polynomials

But to get that you had to introduce new points.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #27 2013-06-20 23:37:52

Herc11
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### Re: Define the intersection points of polynomials

x0 x1 y0 y1 are the same intersection points. the other one for each polynomial will be the known point.

## #28 2013-06-20 23:39:33

bobbym

Online

### Re: Define the intersection points of polynomials

Yes, but that polynomial needs 3 known points to be a unique quadratic. You have 2 and one unknown point. You can not determine that quadratic knowing only two.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #29 2013-06-20 23:43:07

anonimnystefy
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### Re: Define the intersection points of polynomials

Hi Herc11

Do you have a test example we could try?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #30 2013-06-20 23:43:59

bobbym

Online

### Re: Define the intersection points of polynomials

What is wrong with post #9? Can anyone get A and B?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #31 2013-06-20 23:46:09

anonimnystefy
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### Re: Define the intersection points of polynomials

I need a of four quadratics.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #32 2013-06-20 23:47:31

Herc11
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### Re: Define the intersection points of polynomials

Ok. You are right. But I am confused with the equation of defining a2.

In equation of a2 only the 4 variables x0 x1 y0 y1 exist.

And
if I have four equations for a2 (I do not know the 4 polynomials, only that they have the same 2 inters. points x0 y0 x1 y1 (unknowns),

I know

each polynomial's  leading coef. i.e. a2

and one point of each of the polynomials.

Then from the set of 4 equations of a2, x0..y1 can be defined?

## #33 2013-06-20 23:48:08

bobbym

Online

### Re: Define the intersection points of polynomials

Me too, and putting more points on the drawing does not give them to me.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #34 2013-06-20 23:49:29

anonimnystefy
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### Re: Define the intersection points of polynomials

I need you to give me the leading coefficient of two more quadratics through those two unknown points and a point on each of those.

Last edited by anonimnystefy (2013-06-20 23:50:27)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #35 2013-06-20 23:51:23

Herc11
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### Re: Define the intersection points of polynomials

anonimnystefy wrote:

I need a of four quadratics.

So, if you have 4 quadratics plus a point of each of them you can solve it? i.e you can find x0...y1?

## #36 2013-06-20 23:52:13

bobbym

Online

### Re: Define the intersection points of polynomials

For post #9? Yes any additional info would help. I have been asking the OP to state the full problem. It might be possible to get more info out of it.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #37 2013-06-20 23:56:27

anonimnystefy
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### Re: Define the intersection points of polynomials

#### Herc11 wrote:

anonimnystefy wrote:

I need a of four quadratics.

So, if you have 4 quadratics plus a point of each of them you can solve it? i.e you can find x0...y1?

I think so.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #38 2013-06-20 23:57:52

bobbym

Online

### Re: Define the intersection points of polynomials

From just the first coefficient?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #39 2013-06-20 23:59:16

anonimnystefy
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### Re: Define the intersection points of polynomials

First coefficient of four quadratics and a point on each.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #40 2013-06-21 00:00:40

bobbym

Online

### Re: Define the intersection points of polynomials

Want to use post #9 and I will provide the two more quadratics since I know what A and B is?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #41 2013-06-21 00:01:28

Herc11
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### Re: Define the intersection points of polynomials

anonimnystefy

I think so.

I have the same opinion.

## #42 2013-06-21 00:02:39

bobbym

Online

### Re: Define the intersection points of polynomials

It is more information than you provided in post #1 so I am willing to post the challenge. It is worth a shot.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #43 2013-06-21 00:03:35

Herc11
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### Re: Define the intersection points of polynomials

bobbym wrote

Want to use post #9 and I will provide the two more quadratics since I know what A and B is?

What do you mean exactly?

## #44 2013-06-21 00:04:55

bobbym

Online

### Re: Define the intersection points of polynomials

I know the answer for post #9 only because I created it. No one else can know it from that information ( maybe ). I can give 2 more quads.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #45 2013-06-21 00:05:01

anonimnystefy
Real Member

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### Re: Define the intersection points of polynomials

Hi bobbym

Where does it say that we have only 2 quadratics in the first post??

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #46 2013-06-21 00:07:14

bobbym

Online

### Re: Define the intersection points of polynomials

It does not, we just went from there. But so far no one has proved it is possible with n quadratics.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #47 2013-06-21 00:10:42

Herc11
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### Re: Define the intersection points of polynomials

It does not, we just went from there. But so far no one has proved it is possible with n quadratics.

It seems to me that If there are 4 quad. you can define the 2 interesection points.

Similarly, if the polynomials were of degree 3,  6 polynomials of 3 degree might be needed...and so on...

But I am not sure

## #48 2013-06-21 00:12:27

bobbym

Online

### Re: Define the intersection points of polynomials

I am going to say that with 4 quadratics or 176 of them you still can not define the two points. That is my opinion.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #49 2013-06-21 00:14:23

anonimnystefy
Real Member

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### Re: Define the intersection points of polynomials

#### bobbym wrote:

I am going to say that with 4 quadratics or 176 of them you still can not define the two points. That is my opinion.

Okay, then give me the first coefficient of four quadratics and a point on each of them and I will try finding the 2 intersections.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #50 2013-06-21 00:17:26

bobbym

Online

### Re: Define the intersection points of polynomials

Yes, give some time. I am very interested in your result. Please hold.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.
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