Search found 377 matches

by Hix
Mon Mar 03, 2014 9:59 pm UTC
Forum: Gaming
Topic: Games you can't remember the title of.
Replies: 1934
Views: 548463

Re: Games you can't remember the title of.

Can any turn-based strategy people help me out with this one? Overview: A bare-bones space-themed 4X game. Genre: Turn-based Strategy, Space, 4X (eXplore the initially unknown galaxy, eXpand to every star you can, eXpliot those stars to produce units, eXterminate all other players). Gameplay: Turn-b...
by Hix
Wed Jun 08, 2011 6:20 pm UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Legend of the Seven Flames 2R Enchantment If an opponent has been dealt 7 damage this turn while Legend of the Seven Flames was on the battlefield, sacrifice Legend of the Seven Flames. If you do, put seven 2/1 red Elemental creature tokens with haste onto the battlefield. Next Card: Glean --or-- SP...
by Hix
Wed Jun 08, 2011 5:56 pm UTC
Forum: Mathematics
Topic: multiple solutions in schaum's outline
Replies: 3
Views: 1063

Re: multiple solutions in schaum's outline

They are solutions in different cases, depending on the sign of the expression under the radical. One is for r^2 > p^2 + q^2, the other for r^2 < p^2 + q^2.
by Hix
Fri May 13, 2011 12:50 pm UTC
Forum: Mathematics
Topic: Is f(-x) convex?
Replies: 7
Views: 1779

Re: Is f(-x) convex?

The intuitive proof, but with a bit more rigor: f is convex, so the (unbounded) region F "above" the graph of f is a convex set. Reflecting across the y axis gives a region G, which is clearly the region "above" the graph of g. But reflection doesn't change the convexity of a set...
by Hix
Fri May 13, 2011 1:09 am UTC
Forum: Mathematics
Topic: Partial derivatives and the chain rule question
Replies: 3
Views: 1186

Re: Partial derivatives and the chain rule question

Is V is a function of F and t, while F itself is a function of S and t? In other words, does a diagram of variable dependence look something like this: ..V.. ./.\. /...\ F...| |\..| |.\.| |..\| S...t If that's true, yes, you will get that dV/dt = (dV/dF)*(dF/dt) + dV/dt because to find the multi-var...
by Hix
Thu May 05, 2011 12:28 am UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Redstone Torch 2 Artifact ~ enters the battlefield with a charge counter on it. T, remove a charge counter from ~: Each other artifact you control gains a charge counter if it has none, but loses all charge counters if it had any. 3, remove a charge counter from another artifact you control: ~ gains...
by Hix
Thu Apr 28, 2011 2:09 am UTC
Forum: Mathematics
Topic: Oh my lanta....
Replies: 9
Views: 2208

Re: Oh my lanta....

It's ambiguous. Never write "6÷2(1+2)" if you want your work to be understood without further explanation. When one sees "2(1+2)" in an expression, one can reasonably assume that it should be evaluated as a group. And yet this contradicts the usual left-to-right order of operatio...
by Hix
Tue Apr 26, 2011 3:08 pm UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Cecil, Red Wings Captain 3BB Legendary Creature - Human Lunarian Knight BBB: Cecil deals 2 damage to himself and to each nonblack creature your opponents control. One to be born From a dragon Hosting the light And the dark -Mysidian Legend 2/6 Next Card: Cecil, King of Baron -OR- Mysidian Legend -OR...
by Hix
Wed Apr 20, 2011 12:10 am UTC
Forum: Mathematics
Topic: Little probability problem (additional tries for successes)
Replies: 10
Views: 1532

Re: Little probability problem (additional tries for success

Here's another way to approach it: You are hoping to get 12 successes, in which case you are going to get 11 "extra" attempts, for a total of 31 attempts. So, what is the probability that you get at least 12 successes in 31 attempts, but this time you don't get extra attempts for each succ...
by Hix
Tue Apr 19, 2011 3:52 pm UTC
Forum: Mathematics
Topic: Hyperbola problem help.
Replies: 8
Views: 1131

Re: Hyperbola problem help.

To get the equation you are looking for, take an arbitrary point (x,y) and then translate the phrase "distance from the origin is twice their distance from the line" into symbols. You should get something that can be put into the form Ax^2+Bxy+Cy^2+Dx+Ey+F=0 , which means that it is a coni...
by Hix
Thu Mar 17, 2011 10:38 pm UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Clockwork Goblin 1 Artifact Creature - Goblin 0/0 Clockwork Goblin enters the battlefield with two +1/+1 counters on it. Whenever Clockwork Goblin attacks or blocks, remove a +1/+1 counter from it at end of combat. Clockwork Goblin attacks each turn if able. T: Put a +1/+1 counter on Clockwork Gobli...
by Hix
Sun Mar 06, 2011 3:46 pm UTC
Forum: Mathematics
Topic: Partial Derivatives and Chain Rule and PDEs! Oh my!
Replies: 3
Views: 1128

Re: Partial Derivatives and Chain Rule and PDEs! Oh my!

I didn't follow through all of your work, but I see a potential problem in the initial substitution: u = x + ay v = x + by If this substitution is supposed to represent a generalized change to some u and v that are independent linear combinations of x and y, then it fails, because it does not allow ...
by Hix
Wed Mar 02, 2011 3:16 pm UTC
Forum: Mathematics
Topic: Probability Paradox
Replies: 10
Views: 2040

Re: Probability Paradox

Perhaps part of the problem with accepting a uniform random variable X on [0,1] (for example) is that this interval contains numbers that we could never describe since it is an uncountable set, and every way we have ever come up with for describing mathematical objects is countable in nature (We use...
by Hix
Mon Feb 28, 2011 6:49 pm UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Lime Green Paint
0
Artifact - Equipment

Equip 0
Equipped creature is Green.

Next Card: Armed // Dangerous (Split card)
by Hix
Tue Feb 15, 2011 12:26 am UTC
Forum: Mathematics
Topic: "nontrivial subgroups" (terminology question)
Replies: 7
Views: 2214

Re: "nontrivial subgroups" (terminology question)

Definitely (a)

The trivial subgroup of any group G is the subgroup with just one element. So a nontrivial subgroup is any other subgroup. If G itself is not supposed to be considered, you should specify "proper", as others have indicated.
by Hix
Sun Feb 13, 2011 5:04 pm UTC
Forum: Logic Puzzles
Topic: Cut this in half.
Replies: 10
Views: 2765

Re: Cut this in half.

Yakk wrote:And with 5 more cuts, I could make 2 10x10 squares.

I think you need at least 3 dimensions to do that.
by Hix
Fri Feb 11, 2011 2:06 pm UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Ambitious Sliver
1UB
Creature - Sliver
All Slivers have "When this permanent enters the battlefield, you draw a card and lose 1 life."
2/2

Next card: Brass Goblin
by Hix
Fri Feb 11, 2011 1:02 am UTC
Forum: Mathematics
Topic: Pebbles in buckets, a modified random walk
Replies: 26
Views: 2431

Re: Pebbles in buckets, a modified random walk

At each step of an m-dimensional random walk along lattice lines, there are 2m choices of directions. So the 6 bucket case corresponds to the 3-dimensional random lattice walk. It is a known result that for 1- or 2-dimensional random lattice walks, you will get back to the origin (in terms of bucket...
by Hix
Wed Dec 15, 2010 5:06 pm UTC
Forum: Mathematics
Topic: Flag colouring
Replies: 10
Views: 1314

Re: Flag colouring

Darryl wrote:Your problem here was what you took for the "all possibilities". You have four regions, and 6 choices for each reason. Which is not 6^4.

Ummm....
by Hix
Mon Dec 13, 2010 10:46 pm UTC
Forum: Forum Games
Topic: The Book Challenge
Replies: 261
Views: 21869

Re: The Book Challenge

(e) Combine (c) and (d) to get that
[math]h(x+iy)=\int_a^b \frac{x}{x^2+(y-t)^2}\,dt=arctan\left(\frac{y-a}{x}\right)-arctan\left(\frac{y-b}{x}\right)[/math]
by Hix
Tue Dec 07, 2010 5:52 pm UTC
Forum: Mathematics
Topic: FTC part 1
Replies: 3
Views: 937

Re: FTC part 1

Yes! it does say that. Makes intuitive sense, too, doesn't it?
by Hix
Thu Dec 02, 2010 5:06 pm UTC
Forum: Forum Games
Topic: Create a Card: MTG
Replies: 3761
Views: 402044

Re: Create a Card: MTG

Indomitable Snowflake
WW
Snow Creature - Elemental
0/1

Indomitable Snowflake cannot be controlled except by its owner.
If Indomitable Snowflake would be destroyed, regenerate it.

Next Card - Euphemism
by Hix
Thu Nov 18, 2010 12:03 am UTC
Forum: Mathematics
Topic: Quick question about the integration of -1/x
Replies: 4
Views: 796

Re: Quick question about the integration of -1/x

The correct antiderivative of 1/x is ln|x|. That should solve all your issues.
by Hix
Wed Nov 17, 2010 3:39 pm UTC
Forum: Gaming
Topic: Plants Vs. Zombies
Replies: 51
Views: 9588

Re: Plants Vs. Zombies

Making Money: Use lots of Marigolds on the mini-game "The Last Stand". The cheapest defense you can put up will involve 2 Gloom-shrooms protected by 2 garlic on the 2nd row. Same thing on the 5th row. Place Magnet-shrooms to deal with the armored zombies, and pumpkins where necessary to pr...
by Hix
Sun Nov 14, 2010 7:13 pm UTC
Forum: Logic Puzzles
Topic: 20 prisoners
Replies: 29
Views: 8439

Re: 20 prisoners

Thought I should make a new reply rather than repeatedly edit the above reply. The solution under the spoiler above does not follow the restriction given in this puzzle of "the prisoner must switch exactly one switch" each time he is forced to enter the room. However, the prisoners can sim...
by Hix
Sun Nov 14, 2010 6:37 pm UTC
Forum: Logic Puzzles
Topic: 20 prisoners
Replies: 29
Views: 8439

Re: 20 prisoners

The hard version of this problem was already done (using only a single switch, even) on these forums. http://forums.xkcd.com/viewtopic.php?t=73 The solution they found: One prisoner (call him Bob) repeatedly requests to be let into the room. Bob's job is to turn the switch OFF every time...
by Hix
Tue Oct 19, 2010 1:55 pm UTC
Forum: Mathematics
Topic: Is there a field of every infinite cardinality?
Replies: 6
Views: 2086

Re: Is there a field of every infinite cardinality?

For any infinite cardinal B, the finite polynomials using B indeterminates and with integer coefficients form a ring of cardinality B. Note that it is commutative and has no zero divisors, so it is also an integral domain. Once you've got an infinite integral domain, its field of fractions is a fiel...
by Hix
Wed Oct 13, 2010 1:31 pm UTC
Forum: Mathematics
Topic: The limit of sin(1/x) as x approaches 0 does not exist?
Replies: 4
Views: 5538

Re: The limit of sin(1/x) as x approaches 0 does not exist?

What really gets me, though, is the intuition about this. Doing limits by intuition is probably fine for a first calculus course (In fact, some courses skip over more rigorous definitions in favor of intuitive ones), but for more technical questions like sin(1/x) as x goes to 0 require a more exact...
by Hix
Mon Oct 04, 2010 10:33 pm UTC
Forum: Mathematics
Topic: How does one solve this?
Replies: 5
Views: 1190

Re: How does one solve this?

Theorem: The limit of a product of two terms is the product of the limits of those two terms (assuming that those two limits exist)
by Hix
Sun Sep 19, 2010 6:03 pm UTC
Forum: Mathematics
Topic: Topology Extra Credit Problem
Replies: 12
Views: 1509

Re: Topology Extra Credit Problem

I don't see how to use your professor's hint (Seems to me like it would only help you find countable subsets, but maybe I just don't see the "trick"), but I can think of a simple variant on the Cantor Set that works.
by Hix
Wed Jul 28, 2010 2:43 am UTC
Forum: Logic Puzzles
Topic: Chess problem: The missing king
Replies: 60
Views: 11333

Re: Chess problem: The missing king

Got this one as: 1.h4 d5 2.h5 Nd7 3.h6 Ndf6 4.hxg7 Kd7 5.Rh6 Ne8 6.gxf8=N++ White has only one move to spare for a piece to help out with covering the black king's escape squares. Tried using the d,e, or g pawns along with the queen, queen, or bishop (respectively) as the support piece, ...
by Hix
Thu Jul 08, 2010 10:08 pm UTC
Forum: Logic Puzzles
Topic: Hunters and prey (Newcomb's paradox?)
Replies: 11
Views: 2875

Re: Hunters and prey (Newcomb's paradox?)

⋅  No matter what I do, the hunters will always catch 80% of us ⋅ Therefore, 80% of us will follow a "wrong" strategy. ⋅ Therefore, my strategy will be: do the opposite of what the majority of the others do. ⋅ But wait, the others are also following...
by Hix
Wed Jun 23, 2010 2:42 pm UTC
Forum: Individual XKCD Comic Threads
Topic: 0757: "Toot"
Replies: 103
Views: 22600

Re: "Toot" discussion (#757)

So Blacker must be like Slytherin? They're all fine houses Except for Booty House. I hear they're all a bunch of chain-smoking kleptomaniacs. In my opinion Blacker Hovse as Slytherin, though? The name may suggest it, but when I was a frosh, I got the impression that they were rather unambitious on ...
by Hix
Sun May 30, 2010 11:03 am UTC
Forum: Mathematics
Topic: Seemingly ridiculous rules/conventions
Replies: 59
Views: 7806

Re: Seemingly ridiculous rules/conventions

Syrin wrote:I figure I'm entitled to some modicum of pedantry on a mathematics forum.

I would have been the pedant if you hadn't beat me to it.
by Hix
Sat May 29, 2010 8:49 pm UTC
Forum: Logic Puzzles
Topic: Slash 'n' Dash Sequence
Replies: 4
Views: 1794

Re: Slash 'n' Dash Sequence

Looks like /-\---- /-\//-\\ /-\----- comes next. (Pretty good puzzle, I hope others give it a go.) Edit: The top string in the sequence "-" isn't incorrect, but it would be better if it were the empty string "". Of course, in the forums, this would be hard to distinguish from a m...
by Hix
Mon May 24, 2010 9:02 pm UTC
Forum: Mathematics
Topic: Abusive Usage of Language
Replies: 2
Views: 812

Re: Abusive Usage of Language

Well, that's not so surprising. The extended reals also have an absorbing element ( +\infty ), but it still makes sense to call the operation "addition". And objects with nonzero mass that travel at the speed of light (hypothetically) have infinite momentum and energy (which must be conser...
by Hix
Sun May 23, 2010 4:11 pm UTC
Forum: Gaming
Topic: Games you can't remember the title of.
Replies: 1934
Views: 548463

Re: Games you can't remember the title of.

I'm trying to find a certain Puzzle Platformer game where your character could create blocks (more on that below). I played it about 4-5 years ago on my PC, but I can't say how new it was at the time. It was very colorful and slightly cartoony. The perspective was your typical 2D third-person side-v...
by Hix
Fri Apr 30, 2010 12:22 am UTC
Forum: Mathematics
Topic: Interesting Combinations Problem
Replies: 9
Views: 1629

Re: Interesting Combinations Problem

Letting "S" represent Stirling numbers of the second kind... There are S(15,7) ways to partition the set of 15 balls into 7 non-empty subsets, multiplied by the falling factorial (10) 7 ways to put those 7 subsets into the 10 boxes. So the answer is 247,206,758,198,400 as reported by Qaanol.
by Hix
Tue Apr 20, 2010 11:57 pm UTC
Forum: Mathematics
Topic: Interesting infinite series for phi
Replies: 2
Views: 1179

Re: Interesting infinite series for phi

\frac{(-1)^{n+1}(2n+1)!}{4^{n+1}n!} in the RHS summand is the same as \frac{1}{2}\cdot\frac{-1}{2}\cdot\frac{-3}{2}\cdots\frac{-(2n+1)}{2} , i.e. the falling factorial (\frac{1}{2})_{n+2} . So the summand can be written as \frac{(\frac{1}{2})_{n+2}}{(n+2&...
by Hix
Tue Apr 13, 2010 10:38 pm UTC
Forum: Logic Puzzles
Topic: Given that you have a brother...
Replies: 41
Views: 7650

Re: Given that you have a brother...

Hmm... Just thought of a way it could be a greater than 50% chance that you are male. Suppose no family ever stops at exactly 1 male child, but that some families are satisfied and stop when they have only females. Then the collection of people with brothers would include every male (males with brot...

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