Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#26 Re: Help Me ! » Maths » 2006-08-20 17:41:06

Whoa! Your sentence is entirely valid Applescript code (except for the words "I Want To")!

I've been writing a lot of Applescript lately. Here, let me get that for you:

tell application "Theoretical Worksheet Repository"
     get worksheets of area of circle and brackets of class 7
end tell

Just paste that into Script Editor, and you're good to go. (Somebody smack me for telling jokes that I know darn well are only funny to me.)

#27 Re: Help Me ! » Help Needed on Odd Math Question » 2006-08-20 17:31:20

More courageous, or more lazy? Hmm...:P

Anyway, curious now that you mentioned it, I plugged it into my TI-89, and this is what it has to say:

...which is, of course, the answer we both obtained by hand. Maybe you made a parenthetical error plugging it into your calculator?

#28 Re: Help Me ! » Precalc » 2006-08-18 14:36:47

What confuses me is this: "A mil is  (1/1000), (2/1000), or (1/10,000) inch larger or smaller than the blueprint states." Which of the three is it?

Regardless, the inequalities are easy. Remember that 1/1000 is 0.001, and 1/10,000 is 0.0001. Assuming a mil is  1/1000 and not either of the other two, then an accuracy of 2 mils would be:
w: 7.998 in. < 8.002 in.
h: 4.248 in. < 4.252 in.

For the graph...urk. What a silly thing to ask for. I'm sorry you have to do it; you have my pity.

Edit: fix programming inequality comparison. I've been doing too much programming lately.

#29 Re: Help Me ! » Help Needed on Odd Math Question » 2006-08-18 11:39:17

Hey Kodiak, you forgot to tell us what you're supposed to do with the problem! Oops! That pretty much precludes you getting help on it. I've guessed that we're to simplify the expression given, and worked it out from there. I hope I didn't guess wrong and waste time...what

Anyway, there are two basic procedures here: divide by a fraction by multiplying by its reciprocal, and adding to a fraction by finding a common denominator.

So, let's start at the bottom, with 5+2/(w+1). We need to add 5 to the fraction by giving it the same denominator, like so:

Now, we need to divide this into 3w by multiplying by the reciprocal:

Add w:

Divide into w:

Now we need to simplify this. We can factor out a w/w, which cancels out to 1, leaving:

This is probably an acceptable answer. However, you can take it even further with polynomial division. I don't know how to do long division in latex, but I can tell you that it comes out to:

Hope that helps.

#30 Re: Maths Is Fun - Suggestions and Comments » Complex Number Calculator » 2006-08-02 18:56:47

5^i = -0.0386319699339353+0.99925350682348i
i(54i-3i^3)^5 + 9i - i^i^i + 3 = 3+601692067i
Interpreted Formula: ((((UNKNOWN(((54*i)-(3*(i^3)))))^5)+(9*i))-((i^i)^i))+3
0i + 4i - 0^0 + 0^i - i^i^i^i^i^i = -1.20787957635076+4i
i/0 = NaNNaNi
i^2i^3i^4i^5i^6i^7i^8i^9i = i
i^(2i*3i*4i*5i*6i*7i*8i*9i) = 1

I have no idea if any of these are right or wrong, but it seems to handle all sorts of weird things. (The last two seem contradictory, though.)

#31 Re: Help Me ! » Going crazy over simple question » 2006-08-02 18:38:20

No, that's right. Remember that your cos expression is equal to tan²x. So, square (√2 - 1) and see if it comes out:
(√2 - 1)² = 2 - √2 - √2 + 1 = 2 - 2√2 + 1

Well, Ok, it didn't come out 100% -- the final expression ends in +1, not -1. Is that just a typo/other error?

#32 Re: Maths Is Fun - Suggestions and Comments » Sticky Latex help » 2006-08-01 12:49:35

This tutorial taught me everything I've needed to know to use LaTeX in this forum (I found it with Google, hint hint).

I'm not sure if we need to actually try and explain LaTeX syntax in a sticky because that would be quite a job, and others have already done it for us. However, we could certainly put a sticky informing about the math tag and maybe a few links to some good resources.

Actually, a "help" sticky or separate page or something that documents all the special syntax of this board would be very nice. I know there are threads scattered here and there that do it (for example, this one lists all the "smiley entities"), but it's rare the newbie that finds them all quickly.

#33 Re: This is Cool » The First Hard Drive from 50 Years Ago » 2006-07-31 17:59:56

Nifty. Near the end of the article, it speculates about Petabytes becoming available in the future.

What would a home user do with petabytes of storage? I can't conceive of a use for all that storage...except one: a versioned file system.

Anyone who's used source code control systems like CVS or Subversion should already know what I'm talking about. Basically, these programs create a file system that remembers everything that was ever done to it. So, every version of code developed along the way is stored, and if you mess something up, you can always just roll back to an earlier version. And because they store only the differences between successive versions, they remain quite compact considering what they do.

All versioning systems that I am aware of require periodic commits, or, that is to say, you have to notify the system that you have changed a file and have it save your changes to the versioned repository. But if you had enough storage, you could have the commits happen automatically, i.e. every time you do anything to your hard drive. Your drive would remember everything that was ever done to it.

You would never worry about corrupt files, accidentally deleted files, or messed up OS installations again. You would have a record of everything you had ever done on your computer...

Do you think such a thing will ever become practical?

#34 Re: This is Cool » I pwn! » 2006-07-30 19:20:20

I sincerely hope this is not any indication of the schools teaching quality.

You are far too optimistic.

Actually, tests are very hard to write. I'm not surprised that they began to fall back on "easy stumpers" towards the end. Errors also don't surprise me; tests that don't have them are about as common as those that do.

However, in the case of a standardized test, it should have to pass many reviews as will as several pilot runs before it is administered on a large scale. That's just common sense, something apparently quite lacking in American public schools.

#35 Re: This is Cool » Help those in need of friends. » 2006-07-29 17:50:04

Or maybe they know, on some level, that they are being made a project, and reject this. (Think about it. "Normal" people get made projects with assigned friends too. How many of them don't resent it? And yet if you consider the situation rationally, you'll realize that the people offering charity friendship, no matter how false their motives may feel, are actually sacrificing themselves for your good and thus deserve your thanks. But when your higher brain function is limited by a disability, all you have is that subconscious reaction.)

Another possibility is that some of the disabled people who reject friendship are autistic. One of the most common and pronounced effects of autism is a severe social handicap. Autistic children are often described as being unaware of the existence of other people. Even when such awareness is reached, it often does not garner interest. So it's not that they like being lonely, or even feel lonely--it's that people don't interest them at all.

#36 Re: This is Cool » Our common ancestor lived just a few thousand years ago ... » 2006-07-29 07:19:52

mikau wrote:

Not to start an argumentl but this does support Genesis... according to the bible, the earth is only roughly 6000 years old.

Not continue an argument...but no it doesn't. (Ok, I didn't get the chance to read the article because the link is now broken, but I assume that it's just that someone did some math and figured out that any two random people have a common ancestor only a few thousand years back.) That wouldn't be saying everyone came from a common ancestor that lived ~5500 years ago (Noah); it would just be saying that two people have a common ancestor a few thousand years back, and two other people have a different common ancestor a different few thousand years back, etc.

I believe in the Bible--I just gotta call it like I see it. smile

#37 Re: This is Cool » buddhabrot fractal » 2006-07-29 06:29:56

Very pretty - they look like nebula-filled star clusters. The first two look like photos, and the last is how you might see it through a telescope.

#38 Re: Help Me ! » A combinations problem » 2006-07-29 06:22:00

a) This is a combination problem. Basically, you are choosing three vertices from a set of n, where order doesn't matter. So, the formula is:

This will give you the number of triangles you can make from the vertices of any regular polygon!

b) In order for this to work, no two vertices may be adjacent to another. Unfortunately, I don't have time right now to figure out that formula.

#39 Re: This is Cool » I pwn! » 2006-07-27 18:03:17

So what happened with the second test?

#40 Re: Jokes » Airline Attendants » 2006-06-06 04:36:05

Google translation BETA says:

"God Rpkm understand Licm   Mafhmt not Nkat each Nktkm Baikhh and silly     God Vadien Maveh the Arab Nktna     Then give Nkat and how Hovo     This is one Emshiii And oh Thenen Saro three Shafto How Ilbhimin! "

Wow. I guess they've got some work to do.

#41 Re: Maths Is Fun - Suggestions and Comments » Billiard Tables » 2006-06-01 08:53:58

Cool stuff!

Bug: If you shoot the black ball while it's falling down a hole, it often still strikes other balls! (You don't see the ball moving, the other balls just act hit.) To the program's (and yours!) credit, even when this happens, the ball still drops out of the void like it normally would.

Comment: The game is quite easy because if you land a ball anywhere on a square containing a hole, the ball is sucked into it. Perhaps a "hard mode" option is in order that restricts the "hit zone" to the size of the hole graphic?

#42 Re: Dark Discussions at Cafe Infinity » do you procrationate? » 2006-05-22 10:34:45

I procrastinate when I have the time. I've found that in college, I don't have time to procrastinate! That's because I have to manage my time very carefully, and pretty much all of it is booked for homework/reading/class/work. If you do everything at the last minute, but only because every other minute was filled with other homework, does that count as procrastination?

Luckily, that's all done with for a few months...now I have to make myself work on web sites for money. smile

#43 Re: Introductions » hiyaa..new ere » 2006-05-13 13:39:11

Funny, I have a sister named Hebs (her name is Heather, but we call her hebs). Nice to have you here!

#44 Re: Help Me ! » Math class is boring!!! » 2006-05-13 04:56:37

The fact of the matter is that sometimes, Math is boring! There's no way around it!

It's because there's so very much of it...Sometimes, you'll have to learn something that you don't care about, and it will bore you to tears. And then, when you need that something later on, you'll have to flip back through the book to refresh your memory because you never, in fact, actually learned it (you can't force your brain to learn, though you can sometimes persuade it). I know, I've been there.

The satisfaction comes when, having learned a bunch of stuff, you can approach Math like a puzzle game, and put all the little bits into play to solve a real-sounding problem. And you will feel powerful. And Math will get more interesting.

(This didn't happen for me until Calculus. Actually, it may never happen until you leave High School. Just wait until you hit Conics. Beware the general equation of the hyperbola. Bewaaaarrrreee...)

#45 Re: Jokes » Proofs: What to do when you're out of time » 2006-05-10 11:42:59

Proof by flattery: Wow, that theorem is exceptionally elegant. Its sheer beauty suggests its veracity. It's too pretty to be false. I salute you!

Proof by ignorance: If there's something wrong with it, I can't see it. Must be true.

Proof by relativism: This theorem is true to me. You may have your own truth, and I respect that; please, then, respect mine.

Proof by quantum mechanics: > <---Right there is a quantum singularity that should (cross your fingers) expand into the correct proof when observed by one who knows it.

#46 Re: Help Me ! » function effeciency: rotation » 2006-05-09 05:33:16

You could try a "quick and dirty" implementation of trig functions; namely, store a hash of precomputed values and interpolate between them as needed for intermediate angles. I know that many calculators do it this way. C's function may also work this way, so you may not actually gain anything by trying this (maybe you could find documentation on it?). I would hope, though, that they would have optimized the API function for accuracy more than for speed.

#47 Re: Puzzles and Games » Nerd Search » 2006-05-07 07:30:09

Just solved it. I'm now (as though it wasn't obvious enough already) officially a Nerd.

#48 Puzzles and Games » Nerd Search » 2006-05-06 07:31:23

ryos
Replies: 6

I don't know how many of you read Foxtrot, but I just came across this little puzzle. I haven't actually tried to solve it yet.

Jason's Nerd Search

It's a numerical word search...

#49 Re: Maths Is Fun - Suggestions and Comments » Minesweeper MathsIsFun Style » 2006-04-24 04:34:06

Wow! Much improved! (sorry I never did do that mockup I promised...)

I'll have more useful comments in a bit. wink

#50 Re: Maths Is Fun - Suggestions and Comments » Quincunx » 2006-04-24 04:15:15

I used to have a few of these as a little kid. They were just toys; I didn't know they were a mathematical thingy! By the way, I haven't seen one in years. I wonder if they still make them?

Oh yeah, very well done. smile

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