Math Is Fun Forum

evene

Member

Registered: 2015-10-18

Posts: 272

Solve for u and solve for v

This is two separate questions:

(1)

Solve for u in

(2)

Solve for v in

I need help. Wolfram Alpha gives me the pounds symbols, which is something I don't understand and don't want. I want the exact solutions in terms of the other variables.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Solve for u and solve for v

Hi;

The pound symbols mean that it can not solve in terms of u in anything other than numerics.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

evene

Member

Registered: 2015-10-18

Posts: 272

Re: Solve for u and solve for v

Eheu. Ego sum mortuus.

I just have a real quick question, but is the mathematical computing program Sage a good program to use to calculate messy Algebra? I'm just wondering!

I'm guessing you use Mathematica. Most people use Mathematica. But I'm wondering if Sage is a program that can rival that of Mathematica's, since I'm looking for a smart, and quick math-computations program. But would not like to pay money...

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Solve for u and solve for v

If you already know some python then Sage is perfect but it generally only runs in Linux. You can run it in a virtual machine but that is more complicated. It is about as strong as mathematica is.

You are not dead but the odds are against you. The second one can be solved in terms of u.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Solve for u and solve for v

For (2) What is wrong with

If this is acceptable I have a plan for (1)

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

evene

Member

Registered: 2015-10-18

Posts: 272

Re: Solve for u and solve for v

Sure, that works. But I'll need to solve for u in (1).

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Solve for u and solve for v

In (1) Put v=ut ;u can be written in terms of t but t itself is v/u.

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

evene

Member

Registered: 2015-10-18

Posts: 272

Re: Solve for u and solve for v

But is there a way to represent v and u in terms of m and n?

For example:

If we add n to 4m, we eliminate the u term to get

And similarly:

So I'm wondering if it's possible to represent u,v in terms of m and n in:

Sorry that I didn't explain well enough...

Last edited by evene (2016-11-13 05:27:47)

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Solve for u and solve for v

I'm guessing you use Mathematica. Most people use Mathematica. But I'm wondering if Sage is a program that can rival that of Mathematica's, since I'm looking for a smart, and quick math-computations program. But would not like to pay money...

I've used Mathematica much more than Sage, but you can do a lot with it just with just a handful of commands. It came in handy for algebraic number theory and elliptic curves (computing class groups, torsion groups, etc), and for those purposes I found it easier to use than Mathematica -- but as a matter of personal preference I tend to use Mathematica for numerical work. You can create an account here: https://cloud.sagemath.com/. Just create a new project. You won't have to download anything (I use Windows), but it is run on a virtual machine (which means some calculations take longer).

Last edited by zetafunc (2016-11-13 09:21:50)