u/ElegantPoet3386

We know that the noami died from the rupturing of the interloper's core. The explosion clearly had to be quite powerful to kill all the nomai almost instantly since it's explosion had to travel across nearly the entire solar system.

The question I have, how did this not like destroy any of the planets? Or cause any sort of like holes/damage? Explosions powerful enough to span the length of the solar system should also be powerful enough to destroy things right?

Note: I have the canon ending.

Just a funny thought experiment I had. As you know in math, sin(arcsin(x)) is just x, perfectly unchanged. Provided x is in the domain of arcsin of course.

However, if you use the math module to take the sin of a number, then to take its arcsin, due to floating point error, and the fact that computers approximate sin and arcsin, the number that gets returned after using both operations isn’t quite the same as the original number you started with.

So the part I’m curious about, how many times do you think you would have to spam sin and arcsin together before you get a noticeable loss in precision, say 8 digits? I expect it’d be high on the scale of maybe like a billion iterations?

So today in my intro to stats class, we were learning about probability. At one point, my stats teacher brought up the formula to get the probability of getting exactly x successes from n trials. If we say s is the chance of success and f is the chance of failure, then the formula is n!/(n-x)!x! * s^x * f^(n-x).

When I saw this formula, I immediately got flashbacks to the time in my precalc class my teacher forced us to use the binomial theroum to calculate (6x+20)^17. And upon thinking further, the 2 formulas are very similar.

(a+b)^n equals the sum from k = 0 to n of n choose k * a^(n-k) * b^k. Well, n!/(n-x)!n! is the same as n choose x. And the other 2 terms, s^x and f^(n-x) are basically the exact same thing as a^(n-k) * b^k just with different letters.

I don't know if this is a coincidence or if there's an actual connection though. On initial thought there appears to be nothing similar between trying to find the probability of x successes in n trials and trying to expand (a+b)^n. But, with how similar the formulas look, a coincidence seems unlikely.

Let's consider the base case for dominate, you have 0 vulnerable on the enemy whatsoever. Let's compare it to inflame, another uncommon card in ironclad's toolkit that can only be played once.

Dominate applies 1 vulnerable, and gives you 1 strength. Inflame gives you a flat 2 strength. You can seriously make an argument that the 1 vulnerable can be considered to be comparable or better to an extra strength because it significantly increases your damage that turn. The same does for dominate+ vs inflame+, except this time the gap is even bigger because 2 turns of vulnerable is very likely to be worth losing out on 1 strength. And may I remind you, this is just dominate's base case. If you have just a single stack of vulnerable on the enemy from say thunderclap, it's just straight up a clear upgrade over inflame. And with how much vuln ironclad has, getting 1 turn of vuln is not hard.

I seriously struggle to think of a case where if dominate and inflame were offered to you at the same time that you would pick inflame. And that should not happen in this game. The beauty of sts 2 is that if I give you 2 cards of the same rarity in any character's kits, there are scanarios where you would take each card. Like if I gave you the choice between snakebite and say dodge and roll, you can make scanarios where either is the better choice. But dominate is just straight up a better version of inflame. In its base case, it's still stronger than inflame most of the time, and when you bother giving it some vuln synergy, it's very clearly stronger.

Even ignoring the comparison to inflame however, dominate is still just way too strong. Typically cards in this game are either really strong if you build around them but the key is that they require setup or else they suck, or they provide a consistent bonus you can always depend on being somewaht good and don't need to setup for, or are strong but have some sort of downside like hp loss. Dominate is already good if you don't build around it, extremely strong if you do build around it, and has no downside whatsoever.

I'm not sure what the fix to this is, maybe making dominate rare would be a start. Myabe applying strength based on vuln, then applying vuln. But I think the current iteration of dominate is overtuned at the moment. That is all.

So typically I’ll race if

- there’s a G1

- There are no rainbows and mostly everyone is at 80+ bond

- Everyone is below 80 bond but I can only increase 1 bond

- Im running low on energy in which case I’ll race twice to get the most out of my energy

Are there any other cases where racing is a good idea?

I mean soul nexus is sooooo boring as an elite. He just deals big bonk, weakens and vulnerables you, and then either you die or he dies. Fabricator is a much more interesting elite, they summon shit.

However, in order for Fabricator to become an elite they need some balance changes. First off, they need to start off with 2 of their minions summoned already. That way theres more ugency on you to kill the fabricator immediately. Also, each of the minions should have an attack on their second turn that deals 25 damage. That way you're really incentivized to end the combat quickly! To balance though, after their second attack, the minions should just perish and die.

Now, let's talk about the main dude. To make things fair, his first intent should be to always summon turn 1. This summon move shouldn't deal damage and should only summon 2 minions though otherwise they become WAY too hard. However, if they have 4 minions, then they should start attacking. Now, 13 damage is way too small for an elite. Bump it up to a 13 x 2 attack. Ooh, also make it apply weaken so that if the player somehow survives, they'll struggle killing the fabricator.

Now to make sure the player can't just kill the minions to force the fabricator to not attack, they should have a 67% chance to just say fuck you and start attacking turn 2 even if they don't have 4 minions.

Finalky, increase the fabricator’s HP to like 190.

And now we have a very beautifully balanced elite! I hope john spire takes note of this idea and in the next patch implements the changes!

So lets say we want to model a cup of hot coffee in a room and predict its temperature at some time. We could set up a differential equation, solve it, and then use the solved equation to get an answer.

The part I don't get though, why can't you just model the actual temperature directly? Why do you need to model a differential equation first, and then solve it?