William Fish's blog

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Linux

Posted on 2008-03-30 17:00 By William Fish (Maple Rating 2 161)
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I run Maple on a Wintel machine, specifically a Dell Dimension 9100 Mini-Tower: Pentium D Processor 820 with Dual Core Technology (2.80GHz, 800FSB) Microsoft Windows XP Media Center 2005.  I also recently acquired an OLPC.  I don't think that the OLPC will be much of a Maple platform in the near future but it does run Linux.

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General Relativity

Posted on 2008-03-26 08:45 By William Fish (Maple Rating 2 161)
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Special Relativity has been around for ~100 years, General Relativity for ~90 years.  I'm hoping that with the assistance of Maple and Mapleprimes I may be able to do some tensor calculus to better understand Einstein.  Perhaps the twin paradox is within my reach.  Perhaps even the orbit of Mercury.

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4997 Digits

Posted on 2008-03-26 07:59 By William Fish (Maple Rating 2 161)
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In the following worksheet, evalf[4997](... does what I expected and evalf[4998](... does not.

View 4937_Page147.mw on MapleNet or Download 4937_Page147.mw
View file details

See (3) and (10) in the worksheet.

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Double Trouble

Posted on 2008-03-17 16:04 By William Fish (Maple Rating 2 161)
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I would like Maple to assist me with the following definite double integral:

int(int(x/(x^2+y^2+z^2)^(3/2), y = -b .. b), z = c .. a+c)

so far, I have failed.  Can anybody help?

Here is my worksheet:

View 4937_Page92.mw on MapleNet or Download 4937_Page92.mw
View file details

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A Nasty Function

Posted on 2008-03-15 07:18 By William Fish (Maple Rating 2 161)
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Why is the following function such a problem to differentiate?

= 1/(8*cos(`θ`)*(sin(`θ`))(sin(`θ`)+cos(`θ`))^2)

Here is a worksheet:

View 4937_page84.mw on MapleNet or Download 4937_page84.mw
View file details

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Family Of Curves

Posted on 2008-03-09 19:05 By William Fish (Maple Rating 2 161)
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Can anybody tell me how to plot a family of indexed curves without having to type each one in the plot command?

View 4937_page 27.mw on MapleNet or Download 4937_page 27.mw
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I'd like to see anything anybody would do differently.

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Maximum

Posted on 2008-03-01 08:56 By William Fish (Maple Rating 2 161)
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Why isn't answer (2) the same as answer (4) in the following:

View 4937_Page 2.mw on MapleNet or Download 4937_Page 2.mw
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This is from page 2 of When Least Is Best by Paul J. Nahin.

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Rational

Posted on 2008-02-29 10:28 By William Fish (Maple Rating 2 161)
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Why doesn't Maple do what I want in the following:

View 4937_Rational.mw on MapleNet or Download 4937_Rational.mw
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Chapter 6, Exercise7, BinarySearch

Posted on 2007-11-13 07:08 By William Fish (Maple Rating 2 161)
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I would like to see solutions to Exercise 7 at the end of Chapter 6 in the 2007 edition of the Maple 11 Introductory Programming Guide. It's on page 255. The exercise reads as follows:

“Demonstrate that the BinarySearch procedure always terminates.”

“Hint: Suppose the dictionary has n entries. How many words in the dictionary D does BinarySearch look at in the worst case?”

My solution (I’m a Maple novice and I’m reading the book.) is:

View 4937_Chapter6Exercise7.mw on MapleNet or Download 4937_Chapter6Exercise7.mw
View file details

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