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Mathematica

Blogs > kineSiS-
Post a Reply
kineSiS-
Profile Blog Joined September 2009
Korea (South)1068 Posts
Last Edited: 2011-07-06 04:40:02
July 05 2011 20:37 GMT
#1
This is a blog that will not pose a question and perhaps will not receive irrelevant and replies that juxtapose me with mediocrity and arrogance. Furthermore, I don't use thesaurus's in TL Blog posts as there is really no need to embellish my writing with use of such extravagant words. After all, it would be simply bombastic. But I admit, my rage in it was as much my fault as the last and I was banned for using, per say, ad hominem attacks against another TL user.





Anyways...

I'm not certain if anyone here has heard of Mathematica, but it is simply a great program.

Stephen Wolfram, founder of Wolfram Research, created Mathematica, a program who's purpose knows no bounds. For a link to this program, please look here:

http://www.wolfram.com/mathematica/

I have recently spent many hours attempting to learn the coding of Mathematica through watching lectures and by creating code for assignments online. Who knew that programming, even as basic as Mathematica, could be so difficult.

At this point, I'm not really sure what the purpose of this blog is, I fear that it is merely to write about useless things and elaborate on them by adding useless details.

I guess I open this blog for people to discuss, if they have heard about Mathematica, and what are their thoughts about it. ^_^

If you want to see something cool, import this line of code into your program!

The code is inside the spoiler and kudos to the person who realizes what this is a reference too, the code that is. Hint: Some of the assigned variable names allude to it.

Also there will be a warning when inputting it into Mathematica, disregard it.

+ Show Spoiler +

http://e.isabio.com/SR100/GameOfLifeStartData.png

Download that then input it's location in the Import line code by Ctrl + C once you click the image in your HDD or wherever it is.

life = Import["C:\\Users\\Alex\\Desktop\\GameOfLifeStartData.png",
"Data"];

Dimensions[life];

boardLength = Dimensions[life][[1]];
boardWidth = Dimensions[life][[2]];

lifeBoardOld = Table["", {i, 1, boardLength}, {j, 1, boardWidth}];

lifeBoardNew = lifeBoardOld;


For[i = 1, i <= boardLength, i++,
tempLength = Length[life[[i]]];
lifeBoardOld[[i, 1 ;; tempLength]] = life[[i]];
For[j = tempLength + 1, j <= boardWidth, j++,
lifeBoardOld[[i, j]] = 1;
]
]

For[i = 2, i <= boardLength - 1, i++,
For[j = 2, j <= boardWidth - 1, j++,

neighbor = 0;

If[lifeBoardOld[[i - 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j + 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i, j + 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j + 1]] == 0, neighbor++, Null];

lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];
]
]
i = 1
For[j = 2, j <= boardWidth - 1, j++,

neighbor = 0;

If[lifeBoardOld[[i, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i, j + 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j + 1]] == 0, neighbor++, Null];

lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];
]

i = boardLength
For[j = 2, j <= boardWidth - 1, j++,

neighbor = 0;
If[lifeBoardOld[[i - 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j + 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i, j + 1]] == 0, neighbor++, Null];

lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];
]


j = 1
For[i = 2, i <= boardLength - 1, i++,


neighbor = 0;

If[lifeBoardOld[[i - 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j + 1]] == 0, neighbor++, Null];

If[lifeBoardOld[[i, j + 1]] == 0, neighbor++, Null];

If[lifeBoardOld[[i + 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j + 1]] == 0, neighbor++, Null];

lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];
]

j = boardWidth
For[i = 2, i <= boardLength - 1, i++,


neighbor = 0;
If[lifeBoardOld[[i - 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j]] == 0, neighbor++, Null];

If[lifeBoardOld[[i, j - 1]] == 0, neighbor++, Null];

If[lifeBoardOld[[i + 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j]] == 0, neighbor++, Null];


lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];
]


(* top left *)
neighbor = 0;
i = 1; j = 1;

If[lifeBoardOld[[i, j + 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j + 1]] == 0, neighbor++, Null];

lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];


(* top right *)
neighbor = 0;
i = 1; j = boardWidth;




If[lifeBoardOld[[i, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i + 1, j]] == 0, neighbor++, Null];


lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];


(* bottom left *)
neighbor = 0;
i = boardLength; j = 1;



If[lifeBoardOld[[i - 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j + 1]] == 0, neighbor++, Null];

If[lifeBoardOld[[i, j + 1]] == 0, neighbor++, Null];


lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];

(* bottom right *)
neighbor = 0;
i = boardLength; j = boardWidth;

If[lifeBoardOld[[i - 1, j - 1]] == 0, neighbor++, Null];
If[lifeBoardOld[[i - 1, j]] == 0, neighbor++, Null];
If[lifeBoardOld[[i, j - 1]] == 0, neighbor++, Null];



lifeBoardNew[[i, j]] = 1;
If[neighbor == 3, lifeBoardNew[[i, j]] = 0, Null];
If[neighbor == 2, lifeBoardNew[[i, j]] = lifeBoardOld[[i, j]], Null];
If[neighbor == 1, lifeBoardNew[[i, j]] == 1, Null];
If[neighbor > 3, lifeBoardNew[[i, j]] = 1, Null];

lifeBoardOld = lifeBoardNew;

ArrayPlot[lifeBoardOld, ColorRules -> {1 -> White, 0 -> Black}]



On July 06 2011 06:31 ninjafetus wrote:
I think the code is for Conway's Game of Life.


Congratulations!!


*
neobowman
Profile Blog Joined March 2008
Canada3324 Posts
July 05 2011 20:41 GMT
#2
So.... What does it do?
Trezeguet
Profile Blog Joined January 2009
United States2656 Posts
July 05 2011 20:47 GMT
#3
Checkers?
Horuku
Profile Blog Joined August 2010
United States405 Posts
July 05 2011 20:58 GMT
#4
Meh, MatLAB > Mathematica as far as academic and calculation purposes are concerned.
d<^^>b
Z3kk
Profile Blog Joined December 2009
4099 Posts
Last Edited: 2011-07-05 21:02:10
July 05 2011 20:59 GMT
#5
http://www.wolfram.com/mathematica/features/

Are some of its features, I guess.

Also, it's "per se", not "per say", and I think you may have misused the phrase.
Failure is not falling down over and over again. Failure is refusing to get back up.
MasterOfChaos
Profile Blog Joined April 2007
Germany2896 Posts
Last Edited: 2011-07-05 21:07:10
July 05 2011 21:06 GMT
#6
The computer algebra parts of mathematica are pretty awesome. On the other hand I'm not too fond of its programming language.

On July 06 2011 05:58 Horuku wrote:
Meh, MatLAB > Mathematica as far as academic and calculation purposes are concerned.

Is that a useful comparison? Mathematica is primarily a computer algebra system, matlab a numerics program.
LiquipediaOne eye to kill. Two eyes to live.
xarthaz
Profile Blog Joined August 2010
1704 Posts
July 05 2011 21:06 GMT
#7
Matlab is the one more commonly used for scripting, isnt it. Mathematica being more for symbolic math - the hardcore theoretical scientists, not the practical guys.
Aah thats the stuff..
n.DieJokes
Profile Blog Joined November 2008
United States3443 Posts
July 05 2011 21:24 GMT
#8
So what are its advantages over maple? Or are they not directly comparable?
MyLove + Your Love= Supa Love
ninjafetus
Profile Joined December 2008
United States231 Posts
July 05 2011 21:31 GMT
#9
I think the code is for Conway's Game of Life.
susySquark
Profile Blog Joined May 2010
United States1692 Posts
Last Edited: 2011-07-05 21:37:23
July 05 2011 21:33 GMT
#10
On July 06 2011 05:58 Horuku wrote:
Meh, MatLAB > Mathematica as far as academic and calculation purposes are concerned.


Not even close. If you work at all with theory in any of the hard sciences (math, physics, chemistry), Mathematica is indispensable for handling symbolic math.

edit: I see I've been beaten to the punch XD

Can your matlab do this?

[image loading]
billyX333
Profile Blog Joined January 2008
United States1360 Posts
July 05 2011 22:14 GMT
#11
I really enjoy mathematica. I have absolutely no idea why people hate on it and constantly insist that MatLab>Mathematica. They are two completely different programs used for different purposes. Both are used very frequently by academics.

Anyways, what is your current level of mathematics? You can take mathematica based courses on vector calculus, ODE or linear algebra through the UIUC net math program. College credits and everything. You take exams with a proctor and any school that accepts UIUC credits will accept these credits.

I thoroughly understood vector calculus before taking their course (I already went through an entire textbook, took many practice final exams and never lost a point), but I was still challenged by some problems in their course. Obviously, since you're using a computer, you can do very complex, multi stepped word problems that would never be asked in an ordinary vector calc class because it would be impossible or take many hours to solve by hand.
Servius_Fulvius
Profile Joined August 2009
United States947 Posts
Last Edited: 2011-07-06 01:24:14
July 06 2011 01:18 GMT
#12
On July 06 2011 06:33 susySquark wrote:
Show nested quote +
On July 06 2011 05:58 Horuku wrote:
Meh, MatLAB > Mathematica as far as academic and calculation purposes are concerned.


Not even close. If you work at all with theory in any of the hard sciences (math, physics, chemistry), Mathematica is indispensable for handling symbolic math.

edit: I see I've been beaten to the punch XD

Can your matlab do this?

[image loading]


Oh! Oh! Maple Can!

[image loading]

It looks a bit different, though. And I wouldn't be able to evaluate the Whitaker Matrix without the help of Maple's numeric solver (which is nowhere close to Mathcads). Still, if it wasn't for Maple I'd be using Mathematica...

Edit: (ok, so the solution was cut off, but you get the point!)
susySquark
Profile Blog Joined May 2010
United States1692 Posts
July 06 2011 02:00 GMT
#13
On July 06 2011 10:18 Servius_Fulvius wrote:
Show nested quote +
On July 06 2011 06:33 susySquark wrote:
On July 06 2011 05:58 Horuku wrote:
Meh, MatLAB > Mathematica as far as academic and calculation purposes are concerned.


Not even close. If you work at all with theory in any of the hard sciences (math, physics, chemistry), Mathematica is indispensable for handling symbolic math.

edit: I see I've been beaten to the punch XD

Can your matlab do this?

[image loading]


Oh! Oh! Maple Can!

[image loading]

It looks a bit different, though. And I wouldn't be able to evaluate the Whitaker Matrix without the help of Maple's numeric solver (which is nowhere close to Mathcads). Still, if it wasn't for Maple I'd be using Mathematica...

Edit: (ok, so the solution was cut off, but you get the point!)


Heh yeah maple works too. I learned everything on mathematica though so thats what I'll stick to. The Laguerre / hypergeometric functions are just as inscrutable as Whittaker, but Laguerre shows up all the time in quantum solutions which is why I picked the example that I did. Anyways, matcad can suck it :D
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
July 06 2011 02:21 GMT
#14
my high school required mathematica for any math precalc or above

best requirement ever

<3
posting on liquid sites in current year
JodoYodo
Profile Blog Joined May 2009
Canada1772 Posts
July 06 2011 03:30 GMT
#15
MATLAB is WAY more practical in terms of actual academic use for crunching data, running simulations, and getting results, i.e. practical lab work.
Dance dance dance 'till we run this town!
Servius_Fulvius
Profile Joined August 2009
United States947 Posts
Last Edited: 2011-07-06 04:15:56
July 06 2011 04:01 GMT
#16
On July 06 2011 11:00 susySquark wrote:
Show nested quote +
On July 06 2011 10:18 Servius_Fulvius wrote:
On July 06 2011 06:33 susySquark wrote:
On July 06 2011 05:58 Horuku wrote:
Meh, MatLAB > Mathematica as far as academic and calculation purposes are concerned.


Not even close. If you work at all with theory in any of the hard sciences (math, physics, chemistry), Mathematica is indispensable for handling symbolic math.

edit: I see I've been beaten to the punch XD

Can your matlab do this?

[image loading]


Oh! Oh! Maple Can!

[image loading]

It looks a bit different, though. And I wouldn't be able to evaluate the Whitaker Matrix without the help of Maple's numeric solver (which is nowhere close to Mathcads). Still, if it wasn't for Maple I'd be using Mathematica...

Edit: (ok, so the solution was cut off, but you get the point!)


Heh yeah maple works too. I learned everything on mathematica though so thats what I'll stick to. The Laguerre / hypergeometric functions are just as inscrutable as Whittaker, but Laguerre shows up all the time in quantum solutions which is why I picked the example that I did. Anyways, matcad can suck it :D


Same for me, only in reverse. I never would have survived first year engineering grad school without it!

And I typo'd - matlab has the way better numerical solver than maple (not mathcad, though it has its own merits). I'm doing experimental research, so I don't need anything stronger than excel (for now).

I will give matlab credit - the process design group uses it A LOT. There are two other computational modeling groups - one writes their own code, the next takes Comsol code and modifies it. Comsol is very sexy, btw!

On July 06 2011 12:30 JodoYodo wrote:
MATLAB is WAY more practical in terms of actual academic use for crunching data, running simulations, and getting results, i.e. practical lab work.


Practical lab work? Not the examples you provided. Yes, it is a great tool for number crunching and simulations, but none of that is lab work. In fact my adviser calls them "canned engineering programs" fit for people that are too dangerous in a lab (yeah, he's not a pleasant guy sometimes...). The only ways I can see the two connect is if you're using matlab to run statistics on the results or numerically integrating the governing equations to match your results (which isn't as common as you'd think).

However, the tool is very powerful when validating/creating theory. At that point it's up the user which interface they prefer. Matlab makes differential algebraic equations very easy to solve if you understand the coding. Then again, you can create your own dae solver using vba in excel. I've also seen it done in mathcad. Or just make your own system in hopes to market it to a particular industry (a group at my school is coding microfluidics to create a software marketed to the oil industry).
kineSiS-
Profile Blog Joined September 2009
Korea (South)1068 Posts
Last Edited: 2011-07-06 04:41:54
July 06 2011 04:38 GMT
#17
um.... I'm so confused. TT_TT

Anyways, I'm so happy that I was able to foster a safe debate that contained 0 flaming.

@NeoBowman and Trezeguet, Basically it is a not so simple program that utilizes code with mathematics and yes. That is basically it, but it can many practical things such as solve function, animate functions, create 3D animated objects, and much more!
kineSiS-
Profile Blog Joined September 2009
Korea (South)1068 Posts
Last Edited: 2011-07-06 04:39:36
July 06 2011 04:39 GMT
#18
-Accident Deleted, Sorry-
]343[
Profile Blog Joined May 2008
United States10328 Posts
July 06 2011 05:32 GMT
#19
I used mathematica this past year for my research. It was... ok, I guess... numerical experiments are kind of annoying though T.T

though mathematica/wolfram alpha were integral to doing my quantum homework....
Writer
MoonBear
Profile Blog Joined November 2010
Straight outta Johto18973 Posts
July 06 2011 15:51 GMT
#20
On July 06 2011 10:18 Servius_Fulvius wrote:
Oh! Oh! Maple Can!

[image loading]

It looks a bit different, though. And I wouldn't be able to evaluate the Whitaker Matrix without the help of Maple's numeric solver (which is nowhere close to Mathcads). Still, if it wasn't for Maple I'd be using Mathematica...

Edit: (ok, so the solution was cut off, but you get the point!)

Maple! Hehe, I remember using that. Good times. I'd probably be using Mathematica if my professor didn't give all his workings in Maple.

This argument about different programs shouldn't matter too much though as all their features are pretty derivative.
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