Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Software » comp.soft-sys.math.mathematica

Topic: Hold & Evaluate
Replies: 2   Last Post: Feb 25, 2013 2:19 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Park

Posts: 1,557
Registered: 5/19/07
Re: Hold & Evaluate
Posted: Feb 25, 2013 2:19 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Jakub,

The following evaluates the denominator and then wraps it in a HoldForm.

Table[n/HoldForm @@ {n + 0.1 (n + 1)}, {n, 1, 15}]
% // ReleaseHold

{1/1.2, 2/2.3, 3/3.4 ,4/4.5 ,5/5.6, 6/6.7, 7/7.8, 8/8.9, 9/10., 10/11.1,
11/12.2, 12/13.3, 13/14.4,
14/15.5, 15/16.6}
{0.833333, 0.869565, 0.882353, 0.888889, 0.892857, 0.895522, \
0.897436, 0.898876, 0.9, 0.900901, 0.901639, 0.902256, 0.902778, \
0.903226, 0.903614}

The following Presentations routine isolates Subexpressions by placing them
within Tooltips that indicate they are held expressions and that also give
some control on whether there are parentheses and a key for selective
release. There are many cases, in physics say, where one might want to bind
various constant expressions together and prevent them from being separated
during simplification routines.

<< Presentations`

Table[n/CreateSubexpression[n + 0.1 (n + 1), False], {n, 1, 15}]
% // ReleaseSubexpressions[]

Which gives the same output as above except the denominators of the
fractions have Tooltips of "held" on them.


David Park
djmpark@comcast.net
http://home.comcast.net/~djmpark/index.html










From: =A9er=FDch Jakub [mailto:Serych@panska.cz]


Dear mathgroup,
I would like to generate sequence in the form:

1/1.2, 2/2.3, 3/3.4, 4/4.5, etc.

It is very simple by a Table function:

Table[n/(n + 0.1 (n + 1)), {n, 1, 15}]

but as there are real numbers in denominators, Mathematica evaluates all and generates something like:

{0.833333, 0.869565, 0.882353, 0.888889, 0.892857, 0.895522, etc.}

How to evaluate numerators and denominators separately and print the sequence in that "fraction like" form?

I tested:

#[[1]]/#[[2]] & /@ Table[{n, n + 0.1 (n + 1)}, {n, 1, 15}] and than used Hold[] and Evaluate[]:

Hold[Evaluate[#[[1]]]/Evaluate[#[[2]]]] & /@ Table[{n, n + 0.1 (n + 1)},
{n, 1, 15}]

But it doesn't work as the Hold has "veto" power over any evaluation.

Thanks in advance for any idea, how to do it

Jakub




Date Subject Author
2/25/13
Read Re: Hold & Evaluate
David Park
2/25/13
Read Re: Hold & Evaluate
Jakub Serych

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.