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Pw.mac

2010-09-07T01:46:34Z

← Older revision		Revision as of 01:46, 7 September 2010
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-	Did you know that you can integrate the abs(x) function? Did you know you can also differentiate it? Well, you can. This package, pw.mac, available from [http://mysite.verizon.net/res11w2yb/id2.html this site] can do it. Pw.mac allows Maxima to do general algebra and calculus work with '''any piecewise continuous function'''. You can integrate with pwint(), pwdefint(), simplify with pwsimp(), create with piecewise(), between(), differentiate with diff(). Algebra and calculus of piecewise functions/expressions is easy with pw.mac. You can do very amazing things with pw.mac easily, like computing a Fourier Series of a pw function. If you have any applications for this capability pw.mac is available from [http://mysite.verizon.net/res11w2yb/id2.html here]. Not yet complete help for pw.mac is available from [http://mysite.verizon.net/res11w2yb/pw.html here]. The test suite is available too [http://mysite.verizon.net/res11w2yb/rtest_pw.mac.txt rtest_pw.mac] The pw.mac version is now 6.00 (beta).	+	Did you know that you can integrate the abs(x) function? Did you know you can also differentiate it? Well, you can. This package, pw.mac, available from [http://mysite.verizon.net/res11w2yb/id2.html this site] can do it. Pw.mac allows Maxima to do general algebra and calculus work with '''any piecewise continuous function'''. You can integrate with pwint(), pwdefint(), simplify with pwsimp(), create with piecewise(), between(), differentiate with diff(). Algebra and calculus of piecewise functions/expressions is easy with pw.mac. You can do very amazing things with pw.mac easily, like computing a Fourier Series of a pw function. If you have any applications for this capability pw.mac is available from [http://mysite.verizon.net/res11w2yb/id2.html here]. Not yet complete help for pw.mac is available from [http://mysite.verizon.net/res11w2yb/pw.html here]. The test suite is available too [http://mysite.verizon.net/res11w2yb/rtest_pw.mac.txt rtest_pw.mac] The pw.mac version is now 6.00 (beta). Note : Commercial use is not permitted without consent of the author.

	To use this package first download it from my site preferably to the share/contrib directory and then type.		To use this package first download it from my site preferably to the share/contrib directory and then type.
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	</pre>		</pre>

-	pw.mac can do algebra, differentiate and integrate expressions of piecewise functions expressed in signum(), abs() or between() form. I general pw.mac uses the signum() function. A new feature is the iif() function which is short for immediate if. pw.mac can integrate this function now. It cannot diff it yet. Try iif(x>0,-x,x). This function can be manipulated by many new functions which have the string iif in their names. pwint() and pwdefint() can integrate it directly too. There are many conversion functions for changing the form of the output from one type to another supplied for convenience.	+	pw.mac can do algebra, differentiate and integrate expressions of piecewise functions expressed in signum(), abs() or between() form. I general pw.mac uses the signum() function. A new feature is the iif() function which is short for immediate if. pw.mac can integrate this function now. It cannot diff it yet. Try iif(x>0,x,-x). This function can be manipulated by many new functions which have the string iif in their names. pwint() and pwdefint() can integrate it directly too. There are many conversion functions for changing the form of the output from one type to another supplied for convenience.

	In the next section we compute a Fourier series of a piecewise function. It is so easy you will hopefully be impressed.		In the next section we compute a Fourier series of a piecewise function. It is so easy you will hopefully be impressed.

	Session Follows:		Session Follows:
-

	<pre>		<pre>

Raymond mill

2010-09-06T11:27:43Z

deleted "[[Raymond mill]]" SPAM

New page

Pw.mac

2010-09-06T03:01:16Z

introducing the iif() function

← Older revision		Revision as of 03:01, 6 September 2010
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	(%o18) 0		(%o18) 0
		+
		+	(%i1) pushout((s-signum(x-s))^5,'signum); /* factorout the signum */
		+	5 4 2 3 3 2 4 5
		+	(%o19) - signum (x - s) + 5 s signum (x - s) - 10 s signum (x - s) + 10 s signum (x - s) - 5 s signum(x - s) + s
		+
		+	(%i20) linearize(%); /* signum(s)^2=1 unless s = 0, so assume s # 0, This is okay in case the function is continuous. */
		+	4 2 5 3
		+	(%o20) - 5 s signum(x - s) - 10 s signum(x - s) - signum(x - s) + s + 10 s + 5 s
		+
		+	(%i21) pushout(%,'signum(x-s)); /* factorout the signum */
		+
		+	4 2 5 3
		+	(%o21) (- 5 s - 10 s - 1) signum(x - s) + s + 10 s + 5 s

	</pre>		</pre>

-	pw.mac can do algebra, differentiate and integrate expressions of piecewise functions expressed in signum(), abs() or between() form. I general pw.mac uses the signum() function ~~but a~~ new feature is the ~~between~~() function. ~~But there is a lot more that piecewise~~ can do.	+	pw.mac can do algebra, differentiate and integrate expressions of piecewise functions expressed in signum(), abs() or between() form. I general pw.mac uses the signum() function. A new feature is the iif() function which is short for immediate if. pw.mac can integrate this function now. It cannot diff it yet. Try iif(x>0,-x,x). This function can be manipulated by many new functions which have the string iif in their names. pwint() and pwdefint() can integrate it directly too. There are many conversion functions for changing the form of the output from one type to another supplied for convenience.

	In the next section we compute a Fourier series of a piecewise function. It is so easy you will hopefully be impressed.		In the next section we compute a Fourier series of a piecewise function. It is so easy you will hopefully be impressed.

User:Bárbara

2010-08-31T17:42:44Z

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