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#101 Re: Computer Math » Experimental mathematics » 2014-04-28 00:09:21

gAr

The first integral can be converted to a sum, which a CAS probably finds easier to solve.

which was solved by Sage.

#103 Re: Computer Math » How does Randall do these? » 2014-04-27 23:50:02

gAr

Would you like to see my solution in that thread?

#104 Re: Computer Math » How does Randall do these? » 2014-04-27 23:34:11

gAr

Put it as a sum of infinite series.

#106 Re: Computer Math » How does Randall do these? » 2014-04-27 23:06:18

gAr

Yes, and I found an analytical solution as well.

#107 Re: Computer Math » How does Randall do these? » 2014-04-27 22:51:16

gAr

Okay, I thought we were talking about some other such integrals.

#109 Re: Computer Math » How does Randall do these? » 2014-04-26 21:49:59

gAr

Ah, okay!
Thanks for reminding that, I had almost lost touch with the pslq.

This is the higher precision output by D. H. Bailey's "experimental mathematician's toolkit": -16.69947371922907049618724340073146784130179174288144470245664281170485

#110 Re: Computer Math » How does Randall do these? » 2014-04-26 19:13:44

gAr

Try one:

pslq[{-16.69947371922907049618724347541020677037,1, \[Pi], \[Pi]^2, \[Pi]^3, \[Pi]^4, \[Pi]^5, \[Pi]^6, \[Pi]^7}, 25]

and then

pslq[{-16.6994737192290704961872434007314678413017917428814446693080866964921,1, \[Pi], \[Pi]^2, \[Pi]^3, \[Pi]^4, \[Pi]^5, \[Pi]^6, \[Pi]^7},50]

What is that number supposed to be, there's some mismatch.

16.69947371922907049618724347541020677037
16.6994737192290704961872434007314678413017917428814446693080866964921

#117 Re: Exercises » Probability-1 » 2014-04-06 05:50:08

gAr

Used imagemagick's convert utility.
E.g. to resize to 80x80 image which is the maximum allowed:

convert -resize 80x80 2361.png 2361r.png

#118 Re: Exercises » Probability-1 » 2014-04-06 05:46:34

gAr

Sage..
Any plotting software can do.

#120 Re: Exercises » Probability-1 » 2014-04-06 05:20:46

gAr

Thanks.
Used parametric equations and line plot.

#121 Re: Exercises » Probability-1 » 2014-04-06 05:11:17

gAr

Hi bobbym,

You're welcome.

#123 Re: Coder's Corner » any other way to unlock password protected rar files.... » 2014-04-05 18:28:34

gAr

As a rule of thumb, read the comments before downloading!

#124 Re: Exercises » Probability-1 » 2014-04-05 17:23:37

gAr

Did not read all the papers yet, but understood how to apply the rook polynomials to the problem.

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