Re: [amibroker] Cycles

["wavemechanic" <wd78@xxxx>]

(I assume that Cycles = Circles)

Well not quite the "last lines." Your algebra and geometry in this and previous notes are flawless, and you clearly have conquered the equation of a circle without doing harm to the work of the ancients. But that was never the question.

What you have said about programming and displaying a circle is exactly right. However, it is essential to understand a tool and how it is used before programming it. As you have discussed and shown, if you plot relative tothe X & Y axis you usually get an ellipse. This, however, is not what youwant, which is the reason that software with canned Fibonacci arcs plot relative to screen coordinates so that a circle is displayed. Why do you suppose that virtually all charting programs plot circular arcs at all magnifications and time periods? This is not a matter of mathematics or programming.

The problem with not plotting relative to the screen reflects the dual purpose that arcs are used for. The first function is to identify support and resistance and the second is to interact properly with line studies, in each case providing price and time projections. Both of these have to be effected by plotting relative to screen coordinates. Hopefully, a picture is worth a thousand words. The attached schematic clearly indicates that a circle on the screen is not the same as an ellipse with respect to either of these functions. In this simple example, it is clear that the circular arc has provided resistance as it should. Also, although I did not draw it in,it is easy to imagine a line study (e.g., a tangential line) producing very different projections for the circle and ellipse. As I said in my Circular Fibonacci Arc note, one can use any shape on the screen that one wants. However, based on experience circular is the way to go, and in this business, correlations are all that we have.

Remember that these techniques were used back when everything was plotted by hand. It is up to commercial programmers to duplicate these conditions. Unless this is done one is dealing with an entirely different, untested "animal" that may or may not be better. So far, this is not the route followed by software suppliers. Of course, the individual can always choose a different path and customize the arcs, especially with currently available programs, such as AmiBroker, that are relatively easy to program.

The internet is loaded with discussions and examples of Fibonacci Arcs withand without line studies. If you are interested in this subject, it wouldbe worth your time to read about it, as well as note how other charting programs handle the circular vs elliptical arc issue. To speed the process up for you and others, I copied some charts from a variety of sites. Superimpose on these images an elliptical arc and see whether it works as well ascircular with respect to support/resistance and interaction with line studies. Perhaps this exercise will result in improved arc formulation, use, and interpretation.

Hope this helped you.

Bill

 

  
Market Analyst II



Windows on Wallstreet

A common technique is to display both Fibonacci Arcs and Fibonacci Fan Lines and to anticipate support/resistance at the points where the Fibonacci studies cross. Note that the points where the Arcs cross the price data will vary depending on the scaling of the chart, because the Arcs are drawn so they are circular relative to the chart paper or computer screen.The following British Pound chart illustrates how the arcs can provide support and resistance (points "A," "B," and "C").





Trendsoft

Arcs combine time and price to display expected containment of price actionover time. Circles are used to identify the significant high and low used for these indicators. Note how prices found support, after the significant high at the outer arc.


 

Many analysts use arcs and fan lines together expecting significant 
support or resistance to occur where these lines cross.


Stockhouse









----- Original Message ----- 
From: Dimitris Tsokakis 
To: amibroker@xxxxxxxxxxxxxxx 
Sent: Monday, August 13, 2001 3:19 PM
Subject: [amibroker] Cycles


Dear Bill,
Besides what analysts may say through you, here is the last lines
on the subject.
Open ANY textbook to read the equation of a circle.
The happy condition is that we all agree on that the last 2500 years

(x-x0)^2+(y-y0)^2=R^2

where x0, y0 the coordinates of the center and R the radius.
This, in order to be graphed, must be solved for y and come in the
form y=f(x).
The solution is
y=y0+sqrt(R^2-(x-x0)^2
y=y0-sqrt(R^2-(x-x0)^2
(ask the nearest Math Department if you doubt for the solution)

For a day graph we use here
x=cum(1);
(this is the independent variable x=1, 2, 3, etc)
and the code to graph a circle, centered at (380,0) with R=20
is
/*CYCLE*/
x0=380;
y0=0;
R=20;
x=cum(1);
y1=y0+sqrt(R^2-(x-x0)^2);
y2=y0-sqrt(R^2-(x-x0)^2);
graph0=y1;
graph1=y2;
graph1barcolor=graph0barcolor=2;

The result is graphed t w i c e in attached gif.
Exactly the same cycle.
What you see is a cycle, has the math properties of a cycle
and obeys the common for the whole world equation of a 
cycle.
With this you may solve a lot of problems, especially if you
are interested for the points this circle cuts other lines, 
because it is the equation of the cycle 

This note in addition to #3825 Re:Angles is covering the
subject sufficiently enough.
If you mind for the visual part, I have nothing more to add.

Friendly yours
Dimitris Tsokakis

Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service. 


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<DIV><STRONG><FONT size=2>Dimitris:</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>(I assume that Cycles = Circles)</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>Well not quite the "last lines."&nbsp; Your algebra 
and geometry in this and previous notes are flawless, and you clearly have 
conquered the equation of a circle without doing harm to&nbsp;the work of the 
ancients.&nbsp; But that was never the question.</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>What you have said&nbsp;about programming and 
displaying a circle is exactly right.&nbsp; However,&nbsp;it is essential to 
understand a tool and how it is used before programming it.&nbsp; As you have 
discussed and shown, if you plot relative to the X &amp; Y axis you usuallyget 
an ellipse.&nbsp; This, however, is not what you want, which is the reason that 
software with canned Fibonacci arcs plot relative to screen coordinates so that 
a circle is displayed.&nbsp; Why do you suppose that virtually all charting 
programs plot circular arcs at all magnifications and time periods?&nbsp; This 
is not a matter of mathematics or programming.</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>The&nbsp;problem with not plotting relative to the 
screen reflects&nbsp;the dual&nbsp;purpose that arcs are used 
for.&nbsp;&nbsp;The first function is&nbsp;to identify support and resistance 
and the second is to interact properly&nbsp;with line studies, in each case 
providing&nbsp;price and time projections.&nbsp; Both of these have to be 
effected by plotting relative to screen coordinates.&nbsp; Hopefully, a picture 
is worth a thousand words.&nbsp; The&nbsp;attached schematic&nbsp;clearly 
indicates that a circle on the screen is not the same as an ellipse with respect 
to either of these functions.&nbsp; In this simple example,&nbsp;it is clear 
that the circular arc has provided resistance as it should.&nbsp; Also, although 
I did not draw it in, it is easy to imagine a line study (e.g., a tangential 
line) producing very different projections for the circle and ellipse.&nbsp; As 
I said in my Circular Fibonacci Arc note, one can use any shape on the screen 
that one wants.&nbsp; However,&nbsp;based on experience circular is the wayto 
go, and in this business, correlations are&nbsp;all that we 
have.</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>Remember that these techniques were used 
back&nbsp;when everything was plotted by hand.&nbsp; It is up to 
commercial&nbsp;programmers to duplicate these conditions.&nbsp; Unless this is 
done one is dealing with an entirely different, untested&nbsp;"animal" thatmay 
or may not be better.&nbsp; So far, this is not the route followed by software 
suppliers.&nbsp; Of course, the individual&nbsp;can always choose a different 
path and customize the arcs, especially with currently available programs, such 
as AmiBroker, that are relatively easy to program.</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG><STRONG><FONT 
size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>The internet is loaded with discussions and examples 
of Fibonacci Arcs with and without line studies.&nbsp; If you are interested in 
this subject, it would be worth your time&nbsp;to read about&nbsp;it, as 
well&nbsp;as&nbsp;note how other&nbsp;charting programs handle the circularvs 
elliptical arc issue.&nbsp; To speed the process up for you and others, I copied 
some charts from a variety of sites.&nbsp; Superimpose on these images an 
elliptical arc and see whether it works as well as circular with respect to 
support/resistance and interaction with line studies.&nbsp; Perhaps this 
exercise will result in improved arc formulation, use, and 
interpretation.</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>Hope this helped you.</FONT></STRONG></DIV>
<DIV>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>Bill</FONT></STRONG></DIV>
<DIV>&nbsp;</DIV>
<DIV>&nbsp;</DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>&nbsp; </FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2>Market Analyst II</DIV>
<P><SPAN style="FONT-WEIGHT: normal; TEXT-DECORATION: none"><IMG height=354 
hspace=0 src="http://www.marketanalyst.com.au/help/FA.gif"; width=526 
border=0></SPAN></P></FONT></STRONG>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2>Windows on Wallstreet</FONT></STRONG></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV>
<P>A common technique is to display both Fibonacci Arcs and Fibonacci Fan Lines 
and to anticipate support/resistance at the points where the Fibonacci studies 
cross. Note that the points where the Arcs cross the price data will vary 
depending on the scaling of the chart, because the Arcs are drawn so they are 
circular relative to the chart paper or computer screen.The following British 
Pound chart illustrates how the arcs can provide support and resistance (points 
"A," "B," and "C").</P>
<CENTER><IMG height=263 
src="http://www.geocities.com/WallStreet/Floor/1035/fibonaccistudies-1.gif"; 
width=380 border=1></CENTER>
<CENTER><STRONG><FONT size=2></FONT></STRONG>&nbsp;</CENTER>
<CENTER><STRONG><FONT size=2></FONT></STRONG>&nbsp;</CENTER>
<CENTER>
<P align=left><FONT face=Palantino,Times,Helvetica,Arial 
size=3>Trendsoft</FONT></P>
<P align=left><FONT face=Palantino,Times,Helvetica,Arial size=3>Arcs combine 
time and price to display expected containment of price action over time. 
Circles are used to identify the significant high and low used for these 
indicators. Note how prices found support, after the significant high at the 
outer arc.</FONT></P>
<P><FONT face=Palantino,Times,Helvetica,Arial size=3>
<CENTER>
<P><IMG height=319 src="http://www.trendsoft.com/tasc/images/fib2.gif"; 
width=465> <BR><BR>Many analysts use arcs and fan lines together expecting 
significant <BR>support or resistance to occur where these lines 
cross.</P></CENTER></FONT></CENTER>
<CENTER><STRONG><FONT size=2></FONT></STRONG>&nbsp;</CENTER>
<DIV align=left><STRONG><FONT size=2>Stockhouse</FONT></STRONG></DIV>
<DIV align=left><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV align=left><BR></DIV>
<P align=left>
<DIV align=center><IMG height=309 alt="" 
src="http://www.stockhouse.com/shfn/aug00/images/slumberger_windowonwallstreet_chart1.gif"; 
width=527 border=0></DIV>
<DIV align=center><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV align=left><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV></DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<DIV><STRONG><FONT size=2></FONT></STRONG>&nbsp;</DIV>
<BLOCKQUOTE 
style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV 
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>From:</B> 
<A title=TSOKAKIS@xxxx href="mailto:TSOKAKIS@xxxx";>Dimitris 
Tsokakis</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=amibroker@xxxxxxxxxx 
href="mailto:amibroker@xxxxxxxxxxxxxxx";>amibroker@xxxxxxxxxxxxxxx</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Monday, August 13, 2001 3:19 
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> [amibroker] Cycles</DIV>
<DIV><BR></DIV>
<DIV><FONT face=Arial size=2>Dear Bill,</FONT></DIV>
<DIV><FONT face=Arial size=2>Besides what analysts may say through you, here 
is the last lines</FONT></DIV>
<DIV><FONT face=Arial size=2>on the subject.</FONT></DIV>
<DIV><FONT face=Arial size=2>Open ANY textbook to read the equation of a 
circle.</FONT></DIV>
<DIV><FONT face=Arial size=2>The happy condition is that we all agreeon that 
the last 2500 years</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=Arial size=2>(x-x0)^2+(y-y0)^2=R^2</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=Arial size=2>where x0, y0 the coordinates of the center and R 
the radius.</FONT></DIV>
<DIV><FONT face=Arial size=2>This, in order to be graphed, must be solved for 
y and come in the</FONT></DIV>
<DIV><FONT face=Arial size=2>form y=f(x).</FONT></DIV>
<DIV><FONT face=Arial size=2>The solution is</FONT></DIV>
<DIV><FONT face=Arial size=2>y=y0+sqrt(R^2-(x-x0)^2</FONT></DIV>
<DIV><FONT face=Arial size=2>y=y0-sqrt(R^2-(x-x0)^2</FONT></DIV>
<DIV><FONT face=Arial size=2>(ask the nearest Math Department&nbsp; if you 
doubt for the </FONT><FONT face=Arial size=2>solution)</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=Arial size=2>For a day graph we use here</FONT></DIV>
<DIV><FONT face=Arial size=2>x=cum(1);</FONT></DIV>
<DIV><FONT face=Arial size=2>(this is the independent variable x=1,2, 3, 
etc)</FONT></DIV>
<DIV><FONT face=Arial size=2>and the code to graph a circle, centeredat 
(380,0) with R=20</FONT></DIV>
<DIV><FONT face=Arial size=2>is</FONT></DIV>
<DIV><FONT face=Arial size=2>/*CYCLE*/</FONT></DIV>
<DIV><FONT face=Arial 
size=2>x0=380;<BR>y0=0;<BR>R=20;<BR>x=cum(1);<BR>y1=y0+sqrt(R^2-(x-x0)^2);<BR>y2=y0-sqrt(R^2-(x-x0)^2);<BR>graph0=y1;<BR>graph1=y2;<BR>graph1barcolor=graph0barcolor=2;</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=Arial size=2>The result is graphed&nbsp; t w i c e&nbsp; in 
attached gif.</FONT></DIV>
<DIV><FONT face=Arial size=2>Exactly the same cycle.</FONT></DIV>
<DIV><FONT face=Arial size=2>What you see is a cycle, has the math properties 
of a cycle</FONT></DIV>
<DIV><FONT face=Arial size=2>and obeys the common for the whole worldequation 
of a </FONT></DIV>
<DIV><FONT face=Arial size=2>cycle.</FONT></DIV>
<DIV><FONT face=Arial size=2>With this you may solve a lot of problems, 
especially if you</FONT></DIV>
<DIV><FONT face=Arial size=2>are interested for the points this circle cuts 
other lines, </FONT></DIV>
<DIV><FONT face=Arial size=2>because it is the equation of the 
cycle</FONT>&nbsp;</DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=Arial size=2>This note in addition to #3825 Re:Anglesis 
covering the</FONT></DIV>
<DIV><FONT face=Arial size=2>subject sufficiently enough.</FONT></DIV>
<DIV><FONT face=Arial size=2>
<DIV><FONT face=Arial size=2>If you mind for the visual part, I have nothing 
more to add.</FONT></DIV></FONT></DIV>
<DIV><FONT face=Arial size=2></FONT>&nbsp;</DIV>
<DIV><FONT face=Arial size=2>Friendly yours</FONT></DIV>
<DIV><FONT face=Arial size=2>Dimitris Tsokakis</FONT></DIV><BR><TT>Your use of 
Yahoo! Groups is subject to the <A 
href="http://docs.yahoo.com/info/terms/";>Yahoo! Terms of Service</A>.</TT> 
<BR></BLOCKQUOTE></BODY></HTML>

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