ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 27 Feb 2012 14:31:56 +0100Inequalities, solving problemshttps://ask.sagemath.org/question/8723/inequalities-solving-problems/1.)
2!·4!·...·20!
______________
1!·3!·...·19!
(this is a fraction)
I need to solve this in a closed form. the question is that we need to find out if it is better to solve in its original form or we need to 'help it a little'?
Now I typed down the whole exercise.
The other problem:
2./a)
1+ 1/2 + 1/3 +...+ 1/n >10
We need positive n that works for this.
2./b)
We need the smallest n. (not only the answer, we need to prove why that's the answer)
I wrote down all the questions for the exercises. The whole thing is in a sage document. We can upload only sage files to the server too. The teacher is tricky by the way. The subject is called Solving mathematics problems with sage. Sadly I cannot upload pictures because I'd need more karma.
I can try to do this in the analytical way, and type it in sage, but any help or tips would be great with the proof too.. :) I have no idea what my teacher wants really.
Mon, 27 Feb 2012 12:10:41 +0100https://ask.sagemath.org/question/8723/inequalities-solving-problems/Comment by kcrisman for <p>1.)</p>
<p>2!·4!·...·20!</p>
<hr/>
<p>1!·3!·...·19!
(this is a fraction)</p>
<p>I need to solve this in a closed form. the question is that we need to find out if it is better to solve in its original form or we need to 'help it a little'?
Now I typed down the whole exercise.</p>
<p>The other problem:</p>
<p>2./a)</p>
<p>1+ 1/2 + 1/3 +...+ 1/n >10
We need positive n that works for this.</p>
<p>2./b)</p>
<p>We need the smallest n. (not only the answer, we need to prove why that's the answer)</p>
<p>I wrote down all the questions for the exercises. The whole thing is in a sage document. We can upload only sage files to the server too. The teacher is tricky by the way. The subject is called Solving mathematics problems with sage. Sadly I cannot upload pictures because I'd need more karma.</p>
<p>I can try to do this in the analytical way, and type it in sage, but any help or tips would be great with the proof too.. :) I have no idea what my teacher wants really.</p>
https://ask.sagemath.org/question/8723/inequalities-solving-problems/?comment=20233#post-id-20233I don't see how this has anything to do with Sage. You can type in things like `factorial(2)*factorial(4)*factorial(6)` in Sage, or even `prod([factorial(2*i) for i in [1..10]])`, but when someone says "closed form", that sounds like they want something more than just a number. Similarly with the harmonic series thing - you can use Sage to experiment, but it sounds like your teacher wants an *analytic* solution, with a proof. If you can be a little more specific about the Sage part of these questions, that would be helpful.Mon, 27 Feb 2012 14:31:56 +0100https://ask.sagemath.org/question/8723/inequalities-solving-problems/?comment=20233#post-id-20233Comment by kcrisman for <p>1.)</p>
<p>2!·4!·...·20!</p>
<hr/>
<p>1!·3!·...·19!
(this is a fraction)</p>
<p>I need to solve this in a closed form. the question is that we need to find out if it is better to solve in its original form or we need to 'help it a little'?
Now I typed down the whole exercise.</p>
<p>The other problem:</p>
<p>2./a)</p>
<p>1+ 1/2 + 1/3 +...+ 1/n >10
We need positive n that works for this.</p>
<p>2./b)</p>
<p>We need the smallest n. (not only the answer, we need to prove why that's the answer)</p>
<p>I wrote down all the questions for the exercises. The whole thing is in a sage document. We can upload only sage files to the server too. The teacher is tricky by the way. The subject is called Solving mathematics problems with sage. Sadly I cannot upload pictures because I'd need more karma.</p>
<p>I can try to do this in the analytical way, and type it in sage, but any help or tips would be great with the proof too.. :) I have no idea what my teacher wants really.</p>
https://ask.sagemath.org/question/8723/inequalities-solving-problems/?comment=20235#post-id-20235This doesn't seem to be a Sage question. There are various math Q&A sites on the internet - though many of them will, rightly, only offer gentle hints to homework.Mon, 27 Feb 2012 13:28:13 +0100https://ask.sagemath.org/question/8723/inequalities-solving-problems/?comment=20235#post-id-20235