Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
Here's an algebra one: Let ϕ be the Golden Ratio (1 + √5)/2. Let F(n) be the n-th Fibonacci number: F(1) = F(2) = 1 and F(n) = F(n - 1) + F(n - 2) for integers n >= 3. Prove that F(n) = (1/ϕn - 1) Σnk = 1 (-1)n - k ϕ2(k - 1) for all integers n >= 1.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
Noxxa wrote:
That final must be one of the least close 1-0s (after extra time) I've ever seen. Argentina didn't even get a shot on goal until, what, 115 minutes in?
Yeah, the match stats were very lopsided. Spain winning was not a surprise, especially after the red card. I'm more surprised that it took until extra time to happen. I wonder why Argentina waited so long to go on offense. Based on what I saw in the last few minute, they were clearly able to apply pressure despite being a man down.
I wish I would have caught the third-place match. Seems like it was quite the goal-fest.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
JankRusty wrote:
And soon enough, it'll be time for France VS. Argentina predictions.
Which of them do you think will win the third-place match :P? Since France can't win the tournament, I'm honestly OK with any future outcomes at this point.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
IgorOliveira66X wrote:
Can anyone stop France?
I haven't seen France play during this tournament, but I wasn't impressed by Argentina's performance against Switzerland. I missed the first quarter or so of the match. Maybe they did quite well up until that point. Switzerland seemed to be playing better than Argentina from when I started watching. I thought that they would end up winning after equalizing. Then their player got the second yellow card and had to leave the field, and the outcome seemed pretty clear once Argentina applied more pressure. Still, I wasn't sure if they were trying to win during extra time or if they were trying to drag it out until penalties. That doesn't give me confidence about their future performance.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
Alas, France is still in it.
Mikewillplays wrote:
McBobX wrote:
We played so bad this match. I think we could've done better. On the other hand, I agree, France is a top tier team. Mbappé is just an elite. Well deserved to France ngl.
You actually played in the match? Wow, that's crazy, I didn't know that you were a soccer player!
McBobX should have practiced more with the team instead of submitting three runs over the last two weeks. (/s and all that)
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
And Norway beats Brazil. Good thing that the Norwegian goalkeeper blocked that first penalty.
EDIT:
Caught the last third or so of the England v. Mexico match. Great defending by England for being a man down. I was expecting Mexico to equalize any minute, TBH. Looks like it's just the USA left from North America now.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
EZGames69 wrote:
Something that's bothered me for awhile. The actual trophy of the World Cup....... isn't even a cup.
The first version of the trophy, named after Jules Rimet, was an actual cup. You can read its history online.
I finally saw a match in this tournament that didn't end in a draw. Nice work by Argentina against Jordan. The goal by Messi was superb. The Algeria v. Austria match was a bit more interesting with the back-and-forth goals, especially those two in injury time.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
I caught the second half of the Belgium v. Iran match but missed whatever it was that led to the red card. That did cause notable issues for Belgium. They still kept up the pressure, though, especially toward the end of the match. Both goalkeepers had some nice saves. Overall, my impression was that Belgium did better on offense and Iran on defense.
EDIT:
Just finished watching the Cape Verde v. Uruguay match. That first goal by Cape Verde was amazing. I watched on a Spanish-language channel and didn't understand why Uruguay had a goal canceled in the second half. Someone was offside, possibly? Impressive effort by both teams, regardless.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
I haven't kept up with the World Cup in some time, so I'm not rooting for anyone in particular this year. I did see the first half of the Brazil v. Morocco match. Morocco's performance seemed better than Brazil's. This match was more entertaining than the last time that I recall watching one of Brazil's matches--a knockout stage against France, possibly around 20 years ago. Both teams played pretty defensively then, which made it boring. Yesterday, Brazil and Morocco both had some nice attempts at offense.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
Tegron wrote:
I suspect that age verification in reality only pretends to be for the safety of children, but actually is a way to control us.
I agree with you. There may be some politicians who truly believe that this can protect children from whatever-they-fear, but I think that those are a minority. That protection is the responsibility of parents, not of the government. I think that more of the politicians who voted for this eventually hope to use it as a way of restricting access to whatever-they-don't-like. Then there are politicians who may not even care but may have voted for age verification in order to look good with voters and/or with lobbyists (CasualPokePlayer's point 3).
Stockiel wrote:
In states like Texas though, you need an ID to verify, and if you don't have an ID or refuse to scan one, you probably won't get access to your computer (in an 18+ or free manner that is).
That's another factor in all of this foolishness. Are OS creators really going to implement 100 different versions of age verification in order to cover all of the variability in laws from different states and countries? I doubt it. Unless a law explicitly prohibits it, they'll implement the most invasive version everywhere and call it a day.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
I'm not a therapist, and I haven't experienced what you describe while TASing, but have you tried taking a break from TASing? It's not worth sacrificing your health for a hobby. If you get these feelings even when you're not TASing, the best course of action may be to see a healthcare professional in order to try to figure out what's going on.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
Dimon12321 wrote:
Surprisingly, it produces the equivalent result! Previously, I tried launching the game with the changed rem numbers and sound output was affected. Also, choosing different sound output in SETUP.exe resulting in these rem numbers being different, which made me think the game was still reacting to these numbers
The game could still be reading information from the batch file even if it's not run from the batch file. A better way to check if it's reading from the batch file would be to run the game after doing one of these things:
Rename the batch file.
Delete the batch file.
Manually change the numbers in the batch file to some other values.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
What happens if you just run
tmnt2.exe 2
from the command prompt? That rem line is a remark that gets ignored by DOS. If you actually need the batch file with that line, it would suggest that the game reads settings from the batch file.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
I just watched this and compared it to [1715] NES Super Mario Bros. "warps" by HappyLee in 04:57.31, alternating between the two encodes after each level. Most of the levels have minor differences, typically at the end. The only surprising thing was the ending to 8-2, and I enjoyed the NTSC one more. This is too similar to publish separate from the NTSC warps run, IMO.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
OmnipotentEntity wrote:
Here's a pair of interesting problems I ran across recently.
Let x = logb a. Use the logarithm property logb a = 1/loga b to rewrite the equation as x + 1/x = sqrt(293). Multiply everything by x and move all terms to the same side to get the quadratic equation x2 - x sqrt(293) + 1 = 0. The roots of the quadratic are x = (sqrt(293) +- sqrt(289))/2. Note that 289 = 172, which means that sqrt(293) - sqrt(289) < 1. Since a > b > 1, however, x must be greater than 1, so we can eliminate the difference as a value of x. Therefore, x = (sqrt(293) + 17)/2.
Use another logarithm change-of-base property to rewrite logab b = (log b)/(log ab) = (log b)/(log a + log b) in some non-a and non-b base. Then 1/logab b = (log a + log b)/(log b) = 1 + logb a = 1 + x. Likewise, 1/logab a turns out to be 1 + loga b = 1 + 1/x. Their difference is x - 1/x. Substitute x = (sqrt(293) + 17)/2 from above and simplify things to get the solution 17, which is choice B.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
Someone named Yoshimaster96 made a disassembly (available on GitHub) of Monster in My Pocket and reported, "Holding A+B+SELECT and pressing START lets you skip the text screen at the beginning of the game." Is that type of in-game code allowed nowadays?
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
The graphical animations seem to pause a lot. Is that how the game behaves on hardware or just something with the encode/YouTube/my computer? It's very annoying.
Editor, Experienced Forum User, Published Author, Player
(91)
Joined: 6/22/2005
Posts: 1065
A nice effort, for sure, but I think it would be more likely to succeed if legal measures were taken against planned obsolescence of non-entertainment products. I haven't watched any of the videos, but here's a potential unintended consequence: Companies change things so that you no longer buy games. Instead, you pay w amount of money for x minutes of access to some type of game streaming service, all to be used within y time period from the time of payment. Insert a bunch of legal terms here about how the game company is not responsible for anything if natural or technological disasters prevent you from said access. TBH, I wouldn't be surprised if someone is already doing this.
