Re: [R] Plotting one dot in a graph

2010-08-12 Thread David Winsemius
OK, looks sensible, although I said either abs() OR squared  
differences. I don't think it makes sense to use both the L1 and the  
L2 metric at the same time.


--
David.
On Aug 12, 2010, at 4:58 PM, TGS wrote:

# just to clean it up for my own understanding, the "difference"  
approach as you had suggested would be


x <- seq(.2, .3, by = .1)
f1 <- function(x){
x*cos(x)-2*x**2+3*x-1
}
plot(x,f1(x), type = "l")
abline(h = -.1)
abline(v = x[which.min(abs(diff((f1(x) - (-.1))**2)))], lty =  
'dotted')

points(x = x[which.min(abs(diff((f1(x) - (-.1))**2)))], y = -.1)

# and the uniroot approach is:

x <- seq(.2, .3, by = .01)
f1 <- function(x){
x*cos(x)-2*x**2+3*x-1
}
f2 <- function(x){
-.1
}
f3 <- function(x){
f1(x) - f2(x)
}
plot(x,f1(x), type = "l")
abline(h = -.1)
abline(v = uniroot(f = f3, interval = c(.2, .3))$root, lty = 'dotted')
points(x = uniroot(f = f3, interval = c(.2, .3))$root, y = -.1)

# Thanks David!


On Aug 12, 2010, at 1:33 PM, David Winsemius wrote:


On Aug 12, 2010, at 4:15 PM, TGS wrote:

David, I was expecting this to work but how would I specify the  
vector in "diff()" in order for the following to work?


x <- seq(.2, .3, by = .01)
f <- function(x){
x*cos(x)-2*x**2+3*x-1
}
plot(x,f(x), type = "l")
abline(h = -.1)
abline(v = x[which.min(abs(diff(c(-.1, f(x)], lty = 'dotted')


f2 <- function(x) -0.1
f3 <- function(x) f(x) -f2(x)
abline(v=uniroot(f3, c(0.2, 0.3) )$root)
points(x=uniroot(f3, c(0.2, 0.3) )$root, y= -0.1)

If you are going to use the differences, then you probably want to  
minimize either the abs() or the square of the differences.


--
David.


On Aug 12, 2010, at 1:00 PM, David Winsemius wrote:


On Aug 12, 2010, at 3:54 PM, TGS wrote:


Actually I spoke too soon David.

I'm looking for a function that will either tell me which point is  
the intersection so that I'd be able to plot a point there.


Or, if I have to solve for the roots in the ways which were  
demonstrated yesterday, then would I be able to specify what the  
horizontal line is, for instance in the case where y (is-not) 0?


Isn't the abline h=0 represented mathematically by the equation y=0  
and therefore you are solving just for the zeros of "f" (whaich are  
the same as for (f-0)? If it were something more interesting, like  
solving the intersection of two polynomials, you would be solving  
for the  zeros of the difference of the equations. Or maybe I have  
not understood what you were requesting?





On Aug 12, 2010, at 12:47 PM, David Winsemius wrote:


On Aug 12, 2010, at 3:43 PM, TGS wrote:

I'd like to plot a point at the intersection of these two curves.  
Thanks


x <- seq(.2, .3, by = .01)
f <- function(x){
x*cos(x)-2*x**2+3*x-1
}

plot(x,f(x), type = "l")
abline(h = 0)


Would this just be the uniroot strategy applied to "f"? You then  
plot the x and y values with points()








David Winsemius, MD
West Hartford, CT




David Winsemius, MD
West Hartford, CT




__
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Plotting one dot in a graph

2010-08-12 Thread TGS
# just to clean it up for my own understanding, the "difference" approach as 
you had suggested would be

x <- seq(.2, .3, by = .1)
f1 <- function(x){
x*cos(x)-2*x**2+3*x-1
}
plot(x,f1(x), type = "l")
abline(h = -.1)
abline(v = x[which.min(abs(diff((f1(x) - (-.1))**2)))], lty = 'dotted')
points(x = x[which.min(abs(diff((f1(x) - (-.1))**2)))], y = -.1)

# and the uniroot approach is:

x <- seq(.2, .3, by = .01)
f1 <- function(x){
x*cos(x)-2*x**2+3*x-1
}
f2 <- function(x){
-.1
}
f3 <- function(x){
f1(x) - f2(x)
}
plot(x,f1(x), type = "l")
abline(h = -.1)
abline(v = uniroot(f = f3, interval = c(.2, .3))$root, lty = 'dotted')
points(x = uniroot(f = f3, interval = c(.2, .3))$root, y = -.1)

# Thanks David!


On Aug 12, 2010, at 1:33 PM, David Winsemius wrote:


On Aug 12, 2010, at 4:15 PM, TGS wrote:

> David, I was expecting this to work but how would I specify the vector in 
> "diff()" in order for the following to work?
> 
> x <- seq(.2, .3, by = .01)
> f <- function(x){
>   x*cos(x)-2*x**2+3*x-1
> }
> plot(x,f(x), type = "l")
> abline(h = -.1)
> abline(v = x[which.min(abs(diff(c(-.1, f(x)], lty = 'dotted')

f2 <- function(x) -0.1
f3 <- function(x) f(x) -f2(x)
abline(v=uniroot(f3, c(0.2, 0.3) )$root)
points(x=uniroot(f3, c(0.2, 0.3) )$root, y= -0.1)

If you are going to use the differences, then you probably want to minimize 
either the abs() or the square of the differences.

-- 
David.
> 
> On Aug 12, 2010, at 1:00 PM, David Winsemius wrote:
> 
> 
> On Aug 12, 2010, at 3:54 PM, TGS wrote:
> 
>> Actually I spoke too soon David.
>> 
>> I'm looking for a function that will either tell me which point is the 
>> intersection so that I'd be able to plot a point there.
>> 
>> Or, if I have to solve for the roots in the ways which were demonstrated 
>> yesterday, then would I be able to specify what the horizontal line is, for 
>> instance in the case where y (is-not) 0?
> 
> Isn't the abline h=0 represented mathematically by the equation y=0 and 
> therefore you are solving just for the zeros of "f" (whaich are the same as 
> for (f-0)? If it were something more interesting, like solving the 
> intersection of two polynomials, you would be solving for the  zeros of the 
> difference of the equations. Or maybe I have not understood what you were 
> requesting?
> 
> 
>> 
>> On Aug 12, 2010, at 12:47 PM, David Winsemius wrote:
>> 
>> 
>> On Aug 12, 2010, at 3:43 PM, TGS wrote:
>> 
>>> I'd like to plot a point at the intersection of these two curves. Thanks
>>> 
>>> x <- seq(.2, .3, by = .01)
>>> f <- function(x){
>>> x*cos(x)-2*x**2+3*x-1
>>> }
>>> 
>>> plot(x,f(x), type = "l")
>>> abline(h = 0)
>> 
>> Would this just be the uniroot strategy applied to "f"? You then plot the x 
>> and y values with points()
>> 
> 
>> 
> 
> David Winsemius, MD
> West Hartford, CT
> 
> 

David Winsemius, MD
West Hartford, CT

__
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Plotting one dot in a graph

2010-08-12 Thread TGS
I was meaning something like the following:

x <- seq(.2, .3, by = .01)
f <- function(x){
x*cos(x)-2*x**2+3*x-1
}
plot(x,f(x), type = "l")
abline(h = -.1)

But I'm guessing "uniroot" will do this?---I haven't looked far into the 
uniroot function to see if it will solve this.

On Aug 12, 2010, at 1:00 PM, David Winsemius wrote:


On Aug 12, 2010, at 3:54 PM, TGS wrote:

> Actually I spoke too soon David.
> 
> I'm looking for a function that will either tell me which point is the 
> intersection so that I'd be able to plot a point there.
> 
> Or, if I have to solve for the roots in the ways which were demonstrated 
> yesterday, then would I be able to specify what the horizontal line is, for 
> instance in the case where y (is-not) 0?

Isn't the abline h=0 represented mathematically by the equation y=0 and 
therefore you are solving just for the zeros of "f" (whaich are the same as for 
(f-0)? If it were something more interesting, like solving the intersection of 
two polynomials, you would be solving for the  zeros of the difference of the 
equations. Or maybe I have not understood what you were requesting?


> 
> On Aug 12, 2010, at 12:47 PM, David Winsemius wrote:
> 
> 
> On Aug 12, 2010, at 3:43 PM, TGS wrote:
> 
>> I'd like to plot a point at the intersection of these two curves. Thanks
>> 
>> x <- seq(.2, .3, by = .01)
>> f <- function(x){
>>  x*cos(x)-2*x**2+3*x-1
>> }
>> 
>> plot(x,f(x), type = "l")
>> abline(h = 0)
> 
> Would this just be the uniroot strategy applied to "f"? You then plot the x 
> and y values with points()
> 

> 

David Winsemius, MD
West Hartford, CT

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Plotting one dot in a graph

2010-08-12 Thread David Winsemius


On Aug 12, 2010, at 3:54 PM, TGS wrote:


Actually I spoke too soon David.

I'm looking for a function that will either tell me which point is  
the intersection so that I'd be able to plot a point there.


Or, if I have to solve for the roots in the ways which were  
demonstrated yesterday, then would I be able to specify what the  
horizontal line is, for instance in the case where y (is-not) 0?


Isn't the abline h=0 represented mathematically by the equation y=0  
and therefore you are solving just for the zeros of "f" (whaich are  
the same as for (f-0)? If it were something more interesting, like  
solving the intersection of two polynomials, you would be solving for  
the  zeros of the difference of the equations. Or maybe I have not  
understood what you were requesting?





On Aug 12, 2010, at 12:47 PM, David Winsemius wrote:


On Aug 12, 2010, at 3:43 PM, TGS wrote:

I'd like to plot a point at the intersection of these two curves.  
Thanks


x <- seq(.2, .3, by = .01)
f <- function(x){
x*cos(x)-2*x**2+3*x-1
}

plot(x,f(x), type = "l")
abline(h = 0)


Would this just be the uniroot strategy applied to "f"? You then  
plot the x and y values with points()








David Winsemius, MD
West Hartford, CT

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Plotting one dot in a graph

2010-08-12 Thread TGS
Actually I spoke too soon David.

I'm looking for a function that will either tell me which point is the 
intersection so that I'd be able to plot a point there.

Or, if I have to solve for the roots in the ways which were demonstrated 
yesterday, then would I be able to specify what the horizontal line is, for 
instance in the case where y (is-not) 0?

On Aug 12, 2010, at 12:47 PM, David Winsemius wrote:


On Aug 12, 2010, at 3:43 PM, TGS wrote:

> I'd like to plot a point at the intersection of these two curves. Thanks
> 
> x <- seq(.2, .3, by = .01)
> f <- function(x){
>   x*cos(x)-2*x**2+3*x-1
> }
> 
> plot(x,f(x), type = "l")
> abline(h = 0)

Would this just be the uniroot strategy applied to "f"? You then plot the x and 
y values with points()

-- 

David Winsemius, MD
West Hartford, CT

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Plotting one dot in a graph

2010-08-12 Thread TGS
Yes, I'm playing around with other things but the "points()" function is what I 
was looking for. Thanks

On Aug 12, 2010, at 12:47 PM, David Winsemius wrote:


On Aug 12, 2010, at 3:43 PM, TGS wrote:

> I'd like to plot a point at the intersection of these two curves. Thanks
> 
> x <- seq(.2, .3, by = .01)
> f <- function(x){
>   x*cos(x)-2*x**2+3*x-1
> }
> 
> plot(x,f(x), type = "l")
> abline(h = 0)

Would this just be the uniroot strategy applied to "f"? You then plot the x and 
y values with points()

-- 

David Winsemius, MD
West Hartford, CT

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


[R] Plotting one dot in a graph

2010-08-12 Thread TGS
I'd like to plot a point at the intersection of these two curves. Thanks

x <- seq(.2, .3, by = .01)
f <- function(x){
x*cos(x)-2*x**2+3*x-1
}

plot(x,f(x), type = "l")
abline(h = 0)

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.