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computers / comp.os.linux.advocacy / Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)

SubjectAuthor
* Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)Farley Flud
+- Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)DFS
`- Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)Physfitfreak

1
Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)

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From: ff@linux.rocks (Farley Flud)
Subject: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)
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 by: Farley Flud - Sat, 3 Feb 2024 16:55 UTC

=========================
Monospaced Font Required
=========================

Consider: sqrt(2)/(sqrt(1+x)*(24*x+24)^(1/4))

FriCAS pretty print (ascii art):

+-+
\|2
------------------------
+-----+ 4+---------+
\|x + 1 \|24 x + 24

Diagon output (Unicode):

_
╲╱2
──────────────────────────
⎛1⎞
⎜─⎟
_____ ⎝4⎠
╲╱1 + x ⋅ (24 ⋅ x + 24)

In this case, I like the FriCAS output better due to the radical
symbol for the fourth root rather than the exponent.

Let us reduce this expression. First extract the 4th root of 24:

_
╲╱2
────────────────────────────
⎛1⎞ ⎛1⎞
⎜─⎟ ⎜─⎟
_____ ⎝4⎠ ⎝4⎠
╲╱1 + x ⋅ 24 ⋅ (x + 1)

Now combine the 2 monomials:

_
╲╱2
──────────────────
⎛1⎞ ⎛3⎞
⎜─⎟ ⎜─⎟
⎝4⎠ ⎝4⎠
24 ⋅ (x + 1)

Since 24 = 2*2*6, we get:

⎛-1⎞ ⎛-3⎞
⎜──⎟ ⎜──⎟
⎝ 4⎠ ⎝ 4⎠
6 ⋅ (x + 1)

Or, with FriCAS:

1
--------------
4+-+ 4+-----+3
\|6 \|x + 1

Fun, fun, fun!

Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)

<fFuvN.287656$q3F7.60392@fx45.iad>

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Subject: Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font
Required)
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 by: DFS - Sat, 3 Feb 2024 17:24 UTC

On 2/3/2024 11:55 AM, Lameass Larry wrote:

> _
> ╲╱2
> ──────────────────
> ⎛1⎞ ⎛3⎞
> ⎜─⎟ ⎜─⎟
> ⎝4⎠ ⎝4⎠
> 24 ⋅ (x + 1)

How about this:
_
╲╱2
───────────────────────
1/4 3/4
24 * (x + 1)

or this:

_
╲╱2
───────────────────────
1/4 3/4
24^ * (x + 1)^

Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font Required)

<upnga4$1bop5$2@solani.org>

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From: Physfitfreak@gmail.com (Physfitfreak)
Newsgroups: comp.os.linux.advocacy
Subject: Re: Pretty Print. Comparison of FriCAS and Diagon (Monospaced Font
Required)
Date: Sun, 4 Feb 2024 02:02:12 -0600
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 by: Physfitfreak - Sun, 4 Feb 2024 08:02 UTC

On 2/3/2024 10:55 AM, Farley Flud wrote:
> =========================
> Monospaced Font Required
> =========================
>
>
> Consider: sqrt(2)/(sqrt(1+x)*(24*x+24)^(1/4))
>
> FriCAS pretty print (ascii art):
>
> +-+
> \|2
> ------------------------
> +-----+ 4+---------+
> \|x + 1 \|24 x + 24
>
>
> Diagon output (Unicode):
>
> _
> ╲╱2
> ──────────────────────────
> ⎛1⎞
> ⎜─⎟
> _____ ⎝4⎠
> ╲╱1 + x ⋅ (24 ⋅ x + 24)
>
>
> In this case, I like the FriCAS output better due to the radical
> symbol for the fourth root rather than the exponent.
>
> Let us reduce this expression. First extract the 4th root of 24:
>
> _
> ╲╱2
> ────────────────────────────
> ⎛1⎞ ⎛1⎞
> ⎜─⎟ ⎜─⎟
> _____ ⎝4⎠ ⎝4⎠
> ╲╱1 + x ⋅ 24 ⋅ (x + 1)
>
>
> Now combine the 2 monomials:
>
> _
> ╲╱2
> ──────────────────
> ⎛1⎞ ⎛3⎞
> ⎜─⎟ ⎜─⎟
> ⎝4⎠ ⎝4⎠
> 24 ⋅ (x + 1)
>
> Since 24 = 2*2*6, we get:
>
> ⎛-1⎞ ⎛-3⎞
> ⎜──⎟ ⎜──⎟
> ⎝ 4⎠ ⎝ 4⎠
> 6 ⋅ (x + 1)
>
>
> Or, with FriCAS:
>
> 1
> --------------
> 4+-+ 4+-----+3
> \|6 \|x + 1
>
>
> Fun, fun, fun!
>
>

Yes, looks like Frikas does it somewhat better. For Diagon you didn't
change the "style" to ascii, so the output you got is in unicode. I
tried ascii style and still it would show the exponent form, not 4th
root radicals.

1
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