Partial Differential Equations!

[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.

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.

Half of the time I don't quote you. That time I did, but after reading it.

[Natapoc]

You know, you can use feed forward artificial neural networks to learn/solve both ordinary and partial differential equations? This can be done with a simple sigmoid function and the gradient descent learning rule.

[UnhealthyTruthseeker]

You know, you can use feed forward artificial neural networks to learn/solve both ordinary and partial differential equations? This can be done with a simple sigmoid function and the gradient descent learning rule.

I assume that these are either rather simple differential equations or that the computer isn't solving them in an exact, symbolic manner.

[Natapoc]

You know, you can use feed forward artificial neural networks to learn/solve both ordinary and partial differential equations? This can be done with a simple sigmoid function and the gradient descent learning rule.

I assume that these are either rather simple differential equations or that the computer isn't solving them in an exact, symbolic manner.

There are several methods actually some with more or less accuracy. Here is an interesting but slightly older article which describes a common approach to the problem:
www.medlab-uoi.gr/Papers_Fotiadis/A14.pdf

[Tunizcha]

Must. Not. Derail into theoretical physics only pertaining to insignificant budding physicists like myself.

[UnhealthyTruthseeker]

There are several methods actually some with more or less accuracy. Here is an interesting but slightly older article which describes a common approach to the problem:
http://www.medlab-uoi.gr/Papers_Fotiadis/A14.pdf

I hate PeDoFiles.

[Natapoc]

Must. Not. Derail into theoretical physics only pertaining to insignificant budding physicists like myself.

Do it!

[Natapoc]

There are several methods actually some with more or less accuracy. Here is an interesting but slightly older article which describes a common approach to the problem:
http://www.medlab-uoi.gr/Papers_Fotiadis/A14.pdf

I hate PeDoFiles.

Yeah so do I but so many papers are published in that format. Do you prefer postscript?

[Natapoc]

New Kereptica you need to post something. This can't just be between me and UnhealthyTruthseeker. I know you know things Post something interesting or even uninteresting in some way related to the topic.

[New Kereptica]

I love... LaTeX.

[Tunizcha]

I love... LaTeX.

Latex: A must have when having sex with bears.

[Natapoc]

Mathematical literacy is a skill that must be constantly practiced. Most people have no need to know any mathematics past simple arithmetic (and even then use a calculator.)

Even though I studied a highly mathematical field (computer science) I sometimes forget even basic things (how did I used to do chain rule again?) because it is so rare that it is used.

It is a very sad thing. The memories can come back but it is very slow and sometimes inaccurate. I remember most of the general concepts but even then sometimes have to remind myself what things are. Makes me feel like an old man and I'm under 30 lol.

[UnhealthyTruthseeker]

Mathematical literacy is a skill that must be constantly practiced. Most people have no need to know any mathematics past simple arithmetic (and even then use a calculator.)

Even though I studied a highly mathematical field (computer science) I sometimes forget even basic things (how did I used to do chain rule again?) because it is so rare that it is used.

It is a very sad thing. The memories can come back but it is very slow and sometimes inaccurate. I remember most of the general concepts but even then sometimes have to remind myself what things are. Makes me feel like an old man and I'm under 30 lol.

That's why every scientist and engineer keeps on hand a book containing shitpiles of various little calc rules, integral tables, and trig identities.

[KaIashnikov]

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

We established a line, and you crossed it!

[Natapoc]

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.

If you take a Fourier transformation of a wave function and that wave function happens to be a sound recording of a human voice you can use it as the first step in creating speech recognition software.

Do you think a Laplace transformation could be equally useful? I've heard that Laplace transformations can have an effect of "noise reduction" I've never actually used them for that though.

[Christmahanikwanzikah]

Goddamn, if I could only remember some of the stuff from my differential equations course, I could have a semi-intelligent discussion, but noooo...

[Christmahanikwanzikah]

That's why every scientist and engineer keeps on hand a book containing shitpiles of various little calc rules, integral tables, and trig identities.

The Holy Bible, ayup.

[Natapoc]

Goddamn, if I could only remember some of the stuff from my differential equations course, I could have a semi-intelligent discussion, but noooo...

It is okay I don't either. You can just fumble around demonstrating ignorance like I've been doing. It actually is an interesting thread if you take out some of the spam.

[Christmahanikwanzikah]

I just need to get around to getting the book again, if the need arises. The only things I really remember about my Differential Equations course was that a) It was about ODEs only, and b) It was too fucking easy.

And it was maybe a year and a half ago that I took it. I've been onto more fun math, like triple integrals and flux fields and turbulent flow friction calculations and energy head calculation and stuff.

[Almagarde]

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.

Using Rule: A/0=NOT A
Q. What is Pi at diameter equal zero?
A. NOT C (a circumference unrelated to the circle circumference except at superposition)

[Waterlow]

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.

If you take a Fourier transformation of a wave function and that wave function happens to be a sound recording of a human voice you can use it as the first step in creating speech recognition software.

Do you think a Laplace transformation could be equally useful? I've heard that Laplace transformations can have an effect of "noise reduction" I've never actually used them for that though.

The Transform That Dare Not Speak Its Name! That's fighting talk round these parts, sunshine...

I thought I was good at maths til I studied astrphysics at uni. I then discovered that I was, in fact, shit. Thus my attaining only a Desmond. Well, perhaps being a lazy sod also contributed.

As for modelling piss flow, surely chaos theory has to come into play? I mean, there's no rhyme or reason to the act.

[Natapoc]

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.

If you take a Fourier transformation of a wave function and that wave function happens to be a sound recording of a human voice you can use it as the first step in creating speech recognition software.

Do you think a Laplace transformation could be equally useful? I've heard that Laplace transformations can have an effect of "noise reduction" I've never actually used them for that though.

The Transform That Dare Not Speak Its Name! That's fighting talk round these parts, sunshine...

I thought I was good at maths til I studied astrphysics at uni. I then discovered that I was, in fact, shit. Thus my attaining only a Desmond. Well, perhaps being a lazy sod also contributed.

As for modelling piss flow, surely chaos theory has to come into play? I mean, there's no rhyme or reason to the act.

lol okay sorry what if I just talk about FT or FFT? That better?

So how would you improve our urine modeling by application of chaos theory? Is that for when you decide to go or in deciding how the "stream" moves to account for various unknowns?

[EvilDarkMagicians]

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.

Half of the time I don't quote you. That time I did, but after reading it.

If you use google chrome...just higlight his text and right click.
It will show the writing on the search option.

[Neovistrana]

Let's discuss Partial Differential Equations!

No, let's not. /thread.

[Vespertilia]

Let's discuss Partial Differential Equations!

No, let's not. /thread.

Yes, let's. Even though I just failed them exam.