Vectors

Is it possible to connect points with the origin like a vector?
Thank you
Andrea

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Re: linear inequalities

dan wrote:
> I need to graph the equation 5y< 2x -8 with shading AND a dotted line.
> The actual shaded part of the function is completed, however, what is the
> function equation I need to insert in order to produce the dotted line?  thanks
> in advance

You can just plot the function f(x)=2/5*x-8/5 and make it dotted.

Best regards
Ivan Johansen

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Re: Vectors

andrea wrote:
> Is it possible to connect points with the origin like a vector?

Yes, you can create a point series with two points, where the first is 
at (0,0), and use an arrow as marker.

Best regards
Ivan Johansen

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Custom Function Definitions

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Re: Custom Function Definitions

John W. Williams wrote:
> It does not seem possible to define custom parametric functions:  I 
> would like to be able to define someting like:
>  
> circ[h,k,r]
>  
> with
>  
> x(t) = h+r*cos(t)
> y(t) = k + r*sin(t)

You will have to create it as two custom functions:
circ_x(h,r,t) = h+r*cos(t)
circ_y(k,r,t) = k+r*sin(t)

Now you can plot the parametric function as:
x(t)=circ_x(2,5,t)
y(t)=circ_y(3,5,t)

Alternatively you can create the custom function as:
circ(h,k,r,x,y) = (x-h)^2 + (y-k)^2 - r^2

Then you can plot the circle as the relation:
circ(2,3,5,x,y) = 0

> Or would you consider a special dialog for entering the parameters to 
> draw conics?

This should be possible with the new plugin system in Graph 4.4 when I 
get it finished.

Best regards
Ivan Johansen

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Crashing when calculating animation

1. I created constans a=0.
2. I inserted parametric function x(t) = t - sin t; y(t) = 1 - cos t 
(cycloide) with range from -pi to a and 2000 steps. Width of graph = 2.
3. I inserted parametric function x(t) = sin t + a; y(t) = cos t + a 
(circle) with standard 1000 steps and range from 0 to 2pi.
4. I set Axes style to 'None'.
5. I inserted a point series:
X		Y
a		1
a - sin a	1 - cos a
(center of circle and intersection with cycloide connected with solid line)
6. I pressed ctrl + Q to Square.
7. I inserted standard function x = 0.
8. I hid all of these functions and point series from legend.
9. In x-axis settings I set minimum to -pi/2 and maximum to 9pi/2.
10. When I try to animate using constant a from -pi to 5pi tith step 0.1 
and 25 frames/second program crashes.

;This file was created by Graph (http://www.padowan.dk)
;Do not change this file from other programs.
[Graph]
Version = 4.3.0.384
MinVersion = 2.5
OS = Windows XP 5.1 Dodatek Service Pack 2

[Axes]
xMin = -1.5707963267949
xMax = 14.1371669411541
xTickUnit = 2
xGridUnit = 2
yMin = -3.95205448544387
yMax = 6.92268931544387
yTickUnit = 2
yGridUnit = 2
AxesColor = clBlue
GridColor = 0x00FF9999
ShowLegend = 1
Radian = 1
AxesStyle = 0
ZoomSquare = 1

[Func1]
FuncType = 1
x = t - sin t
y = 1 - cos t
ShowInLegend = 0
 From = -pi-0.0001
To = a
Steps = 1000
Color = clRed
Size = 2

[Func2]
FuncType = 1
x = sin t + a
y = cos t + 1
ShowInLegend = 0
 From = 0
To = 2pi
Steps = 1000
Color = clGreen

[PointSeries1]
FillColor = clRed
LineColor = clBlack
Size = 2
Style = 0
LineStyle = 0
LabelPosition = 1
Points = a,1;a - sin a,1 - cos a;
ShowInLegend = 0
LegendText = Series 1

[Func3]
FuncType = 0
y = 0
ShowInLegend = 0
Color = clBlack

[Data]
TextLabelCount = 0
FuncCount = 3
PointSeriesCount = 1
ShadeCount = 0
RelationCount = 0
OleObjectCount = 0

[CustomFunctions]
a = -pi

[Animate]
Constant = a
%a = -pi;5pi;0.1

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Re: Crashing when calculating animation

testplast <at> o2.pl wrote:
> 10. When I try to animate using constant a from -pi to 5pi tith step 0.1 
> and 25 frames/second program crashes.

Thanks for reporting the problem, and for the exact description which 
made it easy to reproduce the problem. It turns out that the problem 
sometimes happens when From and To becomes the same for a function, 
which is the case here when a=-pi.

I have fixed the problem in the beta version of Graph 4.4 at 
http://padowan.dk/graph/DownloadBeta.php

Best regards
Ivan Johansen

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Movable point?

It will be useful if Graph has this functiom:

I create a point and link its coordinate(s) to constans(es). Then I can 
move with mouse. For example I create function:

x(t) = sin t + a
y(t) = cos t + b

I create point (a,b) which is linked to constanses a and b. When I move 
it with mouse, I move a circle.

Or modify fonction to

x(t) = r*sin t + a
y(t) = r*cos t + b

and point is (r,b) (but b is not linked) can be used to change raduis of 
circle.

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Re: Movable point?

testplast <at> o2.pl wrote:
> I create point (a,b) which is linked to constanses a and b. When I move 
> it with mouse, I move a circle.

I will give it some consideration. But it is probably more likely that I 
will create some kind of track bar to change the constants.

Best regards
Ivan Johansen

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imported data

Hi, Ivan.

There is a way to give to Graph new tools to imported data? Some tools like "add
row numbers" or "random numbers" in one column could be useful when we are only
a single data column (instead of two). The tools like operation between columns
(like in origin...col(A)-col(B) for example) would be very useful. Sometimes an
histogram (frequency count) tool is interesting too. I work with data-analysis
(more precisely with time series)...and I am teacher too. For the most kind of
experimental analysis (in class), the graph is WONDERFUL. I have showed graph to
my students and to another teachers...and they loved it! But...for research and
scientific work, I think that graph could be more complete! But anyway ... you
have my congratulations!!!! thanks for graph!!

Adriano

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