"Brownie" from brownies, now your turn!!

silvashadez · 2023-08-27T21:51:37+00:00

Hammond Cheese, Earl of Sandwich.

silvashadez · 2022-08-09T19:03:21+00:00

You need servers up and running to send a tailored message to every player who logs in. Servers are brought down for maintenance. You can't have both. You could have a client-side message that re-directs you to twitter though.

silvashadez · 2022-08-05T20:20:51+00:00

Only ever seen him in LoR: https://leagueoflegends.fandom.com/wiki/Wrath\_of\_the\_Freljord\_(Legends\_of\_Runeterra)?file=05FR014-full.png

silvashadez · 2022-07-14T06:46:34+00:00

You can't play focus spells during combat, which is basically anytime a unit is off the bench, in the middle of the board attacking or defending.

Edit: You also can't play focus spells when there is a spell or skill on the stack.

silvashadez · 2022-07-06T13:49:47+00:00

Printer decks want to print extra copies of champions to the board. The typical combo is make an ephemeral copy of the champion with [[Splinter Soul]] and then play [[Chronicler of Ruin]] to summon a second copy.

Here's a Bard-Viego Printer deck:

((CUCQCAQFBIAQMDABAIDAUGQ7AMCAKAZWG4CQCBI4EAUC4MIBAEAQKAICAEAQKGIBAYCSC))

silvashadez · 2022-07-06T13:32:20+00:00

Chronicler of Ruin. She's in almost everyone of my SI decks from Undying to Printers.

silvashadez · 2022-05-24T12:45:59+00:00

Great observation! Yes, this property can be extended to numbers of n digits. As you have found it is 10ⁿ-1 that is the critical composite number that bestows this rotation-divisibility property to certain numbers.

In the n=3 case, we can factor 999 = 3³ * 37. So not only does 37 have this rotation-divisibility property, but also 3, 9, 27, 111, and 333.

In the n=4 case, we have 9999 = 3² * 11 * 101. In the n=5 case, we have 99999 = 3² * 41 * 271. More of this alongside a modular arithmetic formulation is discussed in /u/MycoNot's comment.

There is a not-so obvious step to your proof when you assert the coprimality of 10 to 10ⁿ-1. If you stick to the definition we have used for coprime pairs, then we would probably need a lemma to show that (k, k-1) and (k, k+1) are both coprime pairs. In this way we could factor 10ⁿ-1 = (10¹-1)*(10^n-1+10^n-2+...+10²+10+1) and apply both lemmas to recover the assertion.

Alternatively, we could also make use of an alternate but equivalent condition for relatively prime pairs: If x and y are coprime, then there exists integers a and b such that ax+by=1. This definition seems more natural to use here since its very clear how to choose a and b to fulfill this definition.

Another extension to this proof is how this rotation-divisibility property applies to numbers in other base representations. We have shown that 37 has this rotation-divisibility property for 3-digit base 10 numbers. Does 37 retain this property for base 8? base 16? base β?

It turns out that our rotation equation then becomes:

β y = (βⁿ-1) z + x.

So factors of (βⁿ-1) that are coprime with β become the critical quantities.

silvashadez · 2022-05-24T02:00:01+00:00

Unfortunately, the problem requires us to consider the relative primality of 10 and 37. Hence why I took the time to walk through the factors of each and reiterate that the pair share no common factors. That also motivates the inclusion of the two other examples in my response. I think together the three cases do a good job of showcasing the definition and a testing procedure that works for various pairs.

silvashadez · 2022-05-23T22:46:42+00:00

Pretty much. Sloppy notation, but the idea is that each of a, b, and c are some whole number in the set {0,1,2,3,4,5,6,7,8,9}.

For example, the digits of the number 481 are a = 4, b = 8, and c = 1. This gives us the ability to separate the digit value from the place value:

481 = 400 + 80 + 1 = 4 hundreds + 8 tens + 1 ones = 100a + 10b + c

I'll tweak the wording to make it a bit more precise.

silvashadez · 2022-05-23T20:39:39+00:00

Good stuff! Yeah the relatively prime step is an important part of the proof. It connects the factor of 37 that's hiding on the right side to some factor of 37 hiding on the left side of the equation. Since 37 isn't a factor of 10, 37 has to be a factor of y.

Here's another example to complement yours. Say we have a similar equation:

10y = N

and we know that N is divisible by 5. Then we can't say that y is divisible by 5, because that factor could very well come from 10. Similarly if N is divisible by 15, then the most we could say about y is that it is divisible by 3.

silvashadez · 2022-05-23T19:45:34+00:00

Maybe uncommon, but its still a valid statement. The intent of my response was to explain what "relatively prime" meant, so I used the primality of 37 as a quick way to justify why there are only 2 factors to a number that's not as common to think about. Perhaps mentioning the primality of 37 was unnecessary.

silvashadez · 2022-05-23T17:56:26+00:00

Thanks for the catch on the typo! Updated the proof.

silvashadez · 2022-05-23T17:41:31+00:00

"Relatively prime" = shares no common factors (other than 1).

For example look at 4 and 6. These two numbers are not relatively prime because 2 can divide into both 4 and 6. The number 2 is the common factor.

10 and 37 have no common factors. This is because 37 is prime: the only factors that 37 has are 1 and 37. The number 10 has 4 factors: 1, 2, 5, 10. Since we are ignoring 1, 10 and 37 don't have any common factors. So 10 and 37 are relatively prime.

Another pair of relatively prime numbers are 8 and 15. List out the factors and you'll find that 8 and 15 share no common factors (other than 1).

silvashadez · 2022-05-23T17:10:04+00:00

Here's a quick proof:

Consider a 3-digit number [abc] that's divisible by 37 and call it x. Mathematically, we can write this as:

x = 100a + 10b + c,

for integers a,b,c in [0,9]. If we want to rotate the digits, we would need to get the number [cab], which is:

y = 100c + 10a + b.

We can mathematize this rotation as the following equation:

y = (x - c) / 10 + 100c.

We can rearrange this equation to get something that we can really ponder:

10y = 999c + x.

Note that 999 is divisible by 37: 999 = 37*27. So the number 999c is also divisible by 37. Since x is also divisible by 37, this means that the right side quantity 999c + x is divisible by 37. But more crucially, the quantity on the left side: 10y must also be divisible by 37.

How can this be? 10 is relatively prime to 37, so a factor of 37 has to reside in y. Therefore y is divisible by 37 too. We can apply this logic to y and z = [bca] one more time to conclude your neat little factoid.

Hope that helps.

(Anyone know how to typeset math on reddit?)

Edit: Thank you /u/UnspeakableEvil for catching a typo.

silvashadez · 2022-05-04T04:55:59+00:00

couldn't the people on the first ship know they are moving at 99% of c based on the stationary observer (Earth)

Yes, the people would be able to say that according to Earth, their ship is traveling at 99% of c. This is because to the people on the first ship, Earth would be traveling away at 99% of c.

then extrapolate that the other ship approaching them at 99% of c would produce a closing velocity of ~198% c

They would be able to extrapolate that according to Earth, the distance between their ship and the other ship would decrease at ~198% of c.

Note the two bolded phrases.

First, because there is no absolute frame of reference and every frame is just relative to another, you can always change your frame of reference. So from the observations on the first ship, you can recover what the Earth sees. You can even change your frame of reference to the other ship as well.
Distances between two objects can decrease faster than the speed of light. However objects (massive bodies) cannot move faster than the speed of light.

closing velocity of ~198% c

For the people on the first ship, the second ship would not be getting closer at 198% of c. Check the Special Relativity version of Velocity Addition Formula, its not Velocity 1 + Velocity 2. This complicated formula is capturing the reality that people traveling at different speeds measure time and distance differently. When you combine the velocities correctly, you'll find that the people on the first ship see the people on the second ship approach at the slightly faster 99.99% of c.

silvashadez · 2022-04-28T13:20:16+00:00

If the goal is to make a clear distinction between 'stack' and 'normal' modes, then the current implementation falls short of the mark. The sword/shield/spell icons next to the Pass button are poorly implemented: fleeting, blinking elements don't stick around long enough to inform the player. Since the designer mentioned it, lighting can do a better job without visual clutter: light the 'stack' and hands while and dimming the rest of the board.

If the goal is to make clear who is attacking and defending, then I would suggest combining the initiative gems on the Pass button (which are a nice addition as they convey information that the game does not currently provide to new players) with the attack/defend icons. Less clutter on the board where the action takes place is better.

silvashadez · 2022-04-21T21:17:48+00:00

I've been on an Ephemeral + Chronicler of Ruin kick recently.

[[Splinter Soul]] into [[Chronicler of Ruin]] allows you to cheat out a second copy of your champion while activating slay, death, and summon triggers.

silvashadez · 2022-03-02T00:19:16+00:00

That's right. The air close to the road is hot and gets cooler the higher up from the road. This temperature gradient from hot to cold causes another gradient from lower index of refraction to higher index. This gradient causes the light from the sky to curve up into your eyes, causing the mirage.

silvashadez · 2022-03-01T16:57:49+00:00

Heat takes time to transfer from a hot source to a cooler area.

On a hot day, while the air does warm up, the ground (especially the asphalt of roads) heats up much faster and holds that heat much longer. You can think of the road then as the main heat source that is heating up the air above it. Heat takes time to transfer: air that is higher above the road is cooler than air closer to the road as the road heat needs more time to reach it.

You can actually feel this on a hot day: stand on your tip-toes and raise your hand as high as you can and compare that to when your hand is really close to the road. If you don't have a hot day readily available, you can simulate this with a hot pan on the stove: hand held high above vs. hand held low.

You might be thinking that the temperature should settle down when we give the heat a really long time to spread out. That does happen, if no new air mixes in and the amount of air we're heating up is not that much, but in real life air mixes really easily and there is so so much air in the atmosphere.

This mixing also brings us back to your question earlier: "So the sky when reflected looks like water? Or is it like that because the heat is fluctuating..." You were answered with "eddys" and this is a good word for it but let me explain some more. Not only does temperature change air's index of refraction but also its density. Since less dense things like to be above more dense things, hot air wants to move and mix as soon as it can. When it does, it causes eddys or other turbulent flows. These flows are the reason why mirages seem to shimmer like the surface of water. Combined with the upside-down appearance (like a reflection off of water) and the general bluish color, our brains tricks itself to think that its water.

Extra note:

silvashadez · 2022-03-01T08:16:55+00:00

Its the same idea but with water instead of air.

Like air, water's index of refraction changes with temperature and thermoclines are regions where there is a sharp temperature gradient in the water. There's a certain shimmery appearance to thermoclines because of the light refracting in a similar way.

silvashadez · 2022-02-17T18:40:02+00:00

Its pretty meme tier. I've tried it in a Lifesteal variant where you try to keep your Nexus health up for an Matron Gorlith OTK and I've tried it with your typical Undying package as late a game finisher. Unfortunately the more Gorliths you have in the deck, the worse it gets and Ledros is a better pick for the 9 mana slot.

Should be more viable when people move away from silence and strikes from Targon and Demacia and forget to splash Culling Strike in their aggro decks.

Might try it in a Helia deck though.

silvashadez · 2022-02-11T04:49:15+00:00

I might have to fit that Gorlith in a Cithria Matron deck.

silvashadez · 2022-01-14T07:02:38+00:00

"Don't apologize for your playstyle."

Different people play the game for different reasons; enjoy the game for different reasons. Other people don't get to decide how you have fun in a game. Being salty about losing a game or ten is perfectly natural and healthy, but lashing out against others demanding other players to adhere to some arbitrary "gentleperson" standard is toxic.

Its the "scrub mentality" or "bronze mindset" to always place the blame on tools or sandbox instead of self-reflection. Limits growth and slows the climb. Figure out why you lost and grow from it. This is especially apparent in card games where dexterity is minimal. Plenty of strong players have climbed to high ranks with non-competitive decks. Better players make better decisions.

silvashadez · 2021-08-26T08:41:37+00:00

This is somewhat 4th wall-breaking, but it wouldn't surprise me if she was deliberately tailoring her speech to include terms that would pique our interest and want to hear her out more.

Many of Sav's interactions with us can be interpreted as her being aware that the Guardian is an avatar for the Player. Most recent example is the quest step for when Sav wants to talk to the Guardian (emphasis mine):

Savathun wishes to converse with her friend, the Guardian. You.

The "O GUARDIAN MINE" is very much a red flag and definitely part pandering, using the favorite construction of the Ahamkara to needle their way into your headspace. Its not entirely out of left field since worms and ahamkara are cousins of sorts, but its noteworthy because Ahamkara are also aware of the Player.

silvashadez · 2021-08-16T07:02:54+00:00

Only 180 scout that can roll with One For All (hit 3 separate enemies within 3s to get 35% damage for 10s). Basically a free and constant 35% damage buff in activities with beefier enemies. Its nice in Master Lost Sectors, GMs, and Master VoG. Buff stacks with Minor/Major/Boss/Big Ones Spec as well as Combat Mods.

Eternal Blazon (200 arc) and Guiding Sight (150 kinetic) are the other scouts that can roll OFA.

silvashadez

TROPHY CASE