Partial Differential Equations!

[UnhealthyTruthseeker]

We should kill all nonwhites. That should spice things up.

Wait, what?

[Vetalia]

We should kill all nonwhites. That should spice things up.

Wait, what?

Well, the easiest way to break the cycle is to attract a fresh wave of trolls to break the cycle with ridiculous, offensive ideas.

[UnhealthyTruthseeker]

Well, the easiest way to break the cycle is to attract a fresh wave of trolls to break the cycle with ridiculous, offensive ideas.

Shouldn't we try to break the cycle by discussing new, fresh topics rather than just inviting more trolls from Stormfront?

[Vetalia]

Shouldn't we try to break the cycle by discussing new, fresh topics rather than just inviting more trolls from Stormfront?

Through trolling comes renewal.

[Natapoc]

Hay that is a great point. Actually this is very important in the development of computer games. If the urine flow is not correctly modeled it could float all over the place and people would not play the game because they think it is to fake.

Want to try to come up with a simplistic model? What variables do you think are important enough to consider for an effective urine flow model?

Well, it's better than another abortion thread I guess.

First, urine is very similar to water, so I would say the assumptions of Newtonian fluid and incompressible fluid would hold valid. Next, if you were to put the piss stream into a parabolic cylindrical system (parabolas along the direction of flow and compact [that is to say limited in size] cylinders around the direction of flow), you could model it as irrotational. Also, the parabolic axis would remove the need to take gravitation into account, as the flow solutions would be isoclines of the parabolic axis.

Your solution is very nice but since we are assuming fluid viscosity anyway we could come up with a computationally less complex method without resorting to fluid dynamics and simply assume projectile motion of multiple particles. You could then adjust the number and size of the particles based on the desired realism and computational/graphics abilities of the target machine.

Although this solution takes less factors into consideration it could produce results that are similar (but not quite as accurate) as your solution without needing to take as many variables into account.

I may have to do an experiment on this one. Any volunteers?

[UnhealthyTruthseeker]

Your solution is very nice but since we are assuming fluid viscosity anyway we could come up with a computationally less complex method without resorting to fluid dynamics and simply assume projectile motion of multiple particles. You could then adjust the number and size of the particles based on the desired realism and computational/graphics abilities of the target machine.

Although this solution takes less factors into consideration it could produce results that are similar (but not quite as accurate) as your solution without needing to take as many variables into account.

I may have to do an experiment on this one. Any volunteers?

I like the elegance of using a coordinate system the removes the need for considering the force. Maybe it's the general relativist and/or quantum field theorist in me.

[Natapoc]

I like the elegance of using a coordinate system the removes the need for considering the force. Maybe it's the general relativist and/or quantum field theorist in me.

I agree it is very a elegant and less boring system. You know what we need in this thread? Pictures What is the most ascetically pleasing (or just generally interesting) Partial Differential Equation when graphed that you have encountered recently?

[UnhealthyTruthseeker]

I agree it is very a elegant and less boring system. You know what we need in this thread? Pictures What is the most ascetically pleasing (or just generally interesting) Partial Differential Equation when graphed that you have encountered recently?

We just did the hydrogen atom yesterday in class.

[Natapoc]

I agree it is very a elegant and less boring system. You know what we need in this thread? Pictures What is the most ascetically pleasing (or just generally interesting) Partial Differential Equation when graphed that you have encountered recently?

We just did the hydrogen atom yesterday in class.

Oh Orbitals are awesome this reminds me of when I was in university studying late into the night and twenty times smarter then I am today just hardly remembering any of this.

[Pevisopolis]

We should kill all nonwhites. That should spice things up.

Wait, what?

Vetalia, despite the rhetoric of nationalist bullshit, gets a cookie for confusing you.

[UnhealthyTruthseeker]

Oh Orbitals are awesome this reminds me of when I was in university studying late into the night and twenty times smarter then I am today just hardly remembering any of this.

What do you do?

[Natapoc]

Oh Orbitals are awesome this reminds me of when I was in university studying late into the night and twenty times smarter then I am today just hardly remembering any of this.

What do you do?

I'm a computer programmer(self employed). I did allot of research when I was at the university. It was so fun getting to talk about stuff like this all the time.

[Funk4ever]

Indeed.

[Rhodmhire]

Let's discuss Partial Differential Equations!

Laplace's equation is nice to work with because it is homogeneous and linear and hence always separable. It's solutions are many, but they are always of a polynomial or exponential nature. Physically, Laplace's equation usually implies some superposition of wave-like behavior in a scalar field.

The equation for a solenoidal vector field (that the vector field has zero divergence) is also very easy to solve and is always separable, but it also doesn't reveal the entire picture. It cannot tell you how the x component of the vector field depends on an additive term containing the y and z variables, for example. In order to figure out the full behavior of the vector field, you must know its curl field as well.

EDIT: I should correct myself. The solutions to Laplace's equation are always of a polynomial or exponential nature for coordinates in a holonomic basis.

Here's an equation for you:



Now why don't you change your language there, ya' got'dang Mexican commie?

Disclaimer: Here's a hint, it has to do with love.

[Pevisopolis]

Disclaimer: Here's a hint, it has to do with love.

Damn you and your small text. I always have to copy & paste to Google.

[UnhealthyTruthseeker]

Here's an equation for you:



Now why don't you change your language there, ya' got'dang Mexican commie?

Disclaimer: Here's a hint, it has to do with love.

Not an equation, because you haven't set it equal to anything.

[New Kereptica]

Here's an equation for you:



Now why don't you change your language there, ya' got'dang Mexican commie?

Disclaimer: Here's a hint, it has to do with love.

My normal approach is useless here.

[Natapoc]

Here's an equation for you:



Now why don't you change your language there, ya' got'dang Mexican commie?

Disclaimer: Here's a hint, it has to do with love.

Not an equation, because you haven't set it equal to anything.

It is an expression though. We could assume that it equals 0 and solve for love. Or we could set it equal to a fourth unknown variable and analyze the set of possible solutions.

[UnhealthyTruthseeker]

It is an expression though. We could assume that it equals 0 and solve for love. Or we could set it equal to a fourth unknown variable and analyze the set of possible solutions.

Whats up with the Y tensor-ish thing?

[Natapoc]

It is an expression though. We could assume that it equals 0 and solve for love. Or we could set it equal to a fourth unknown variable and analyze the set of possible solutions.

Whats up with the Y tensor-ish thing?

Yeah I'm not sure what to do with that either. I'd just ignore it as an odd subscript denoting something not important to us.

[New Kereptica]

It is an expression though. We could assume that it equals 0 and solve for love. Or we could set it equal to a fourth unknown variable and analyze the set of possible solutions.

Whats up with the Y tensor-ish thing?

Yeah I'm not sure what to do with that either. I'd just ignore it as an odd subscript denoting something not important to us.

You're obviously not familiar with Standard Love Notation. (Y sub(-1))^<3 is heartbreak.

[Natapoc]

It is an expression though. We could assume that it equals 0 and solve for love. Or we could set it equal to a fourth unknown variable and analyze the set of possible solutions.

Whats up with the Y tensor-ish thing?

Yeah I'm not sure what to do with that either. I'd just ignore it as an odd subscript denoting something not important to us.

You're obviously not familiar with Standard Love Notation. (Y sub(-1))^<3 is heartbreak.

Opps sorry. Serves me right for ignoring anything I don't understand

[UnhealthyTruthseeker]

Opps sorry. Serves me right for ignoring anything I don't understand

Isn't ignoring anything you don't yet understand standard fare when it comes to differential equations?

[Rhodmhire]

Disclaimer: Here's a hint, it has to do with love.

Damn you and your small text. I always have to copy & paste to Google.

Why not just quote me? The text is readable in the quotes.

But I guess I win for making you copy & paste to Google so frequently, since I use disclaimers in approximately 70% of my posts.

[New Kereptica]

Opps sorry. Serves me right for ignoring anything I don't understand

Isn't ignoring anything you don't yet understand standard fare when it comes to differential equations?

Thus the wink, I think.