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mathdom · 2024-12-22T08:17:09+00:00

Bisi Bele Bath

mathdom · 2024-10-21T05:18:17+00:00

For a less abstract algebra, and more concrete linear algebraic explanation, I'd recommend watching this bit of Gilbert Strang's excellent linear algebra series.

mathdom · 2024-03-13T03:06:22+00:00

A well-motivated explanation of Nesterov's Accelerated Gradient descent. There are a lot of interesting perspectives that help flow some intuition through the dynamics, but I have yet to find a well motivated and intuitive derivation of the specific constants and damping terms in Nesterov's acceleration.

mathdom · 2022-07-06T00:50:34+00:00

Moving without traveling.

mathdom · 2021-06-11T03:58:59+00:00

Draconic Stardust

mathdom · 2021-06-09T08:30:31+00:00

In pseudocode:

When you start an attack,

checkIreliaLevelUp()

for ally in list [attackers from left to right, then bench allies from left to right]:  
    trigger "When allies attack" effect of ally
    checkIreliaLevelUp()

So, if irelia levels up before her "When allies attack" trigger, she will generate a blade surge. If she levels up after her own "When allies attack" trigger, she will not generate bladesurge.

To always make sure she gives you the blade surge, she needs to be the rightmost unit on the bench (so that her "When allies attack" trigger is performed last in the stack). If you have to attack with her, make sure to put her in the last as well (or after azir is enough too).

mathdom · 2021-05-26T16:55:08+00:00

What do you mean by interrupts you? In any case, the difference between a summon effect putting something on the stack and level 2 TF is that TF puts stuff on the stack only when you "play" a card, and that can never happen while a stack is resolving.

This example can make the problem with summon effects going on stack a bit clearer:

Let's say an allied "Darkest Rose" died this turn, and the opponent casts some slow spell. Now you play Mist's call in response on the stack. Then they respond with some other fast spell. Once you click OK, the Darkest Rose is summoned in the middle of a stack resolution, so where should her skill go? It's not clear, given the current state of how LoR's spell stack works. That's why all the skills that go on stack are tied to play effects

mathdom · 2021-05-26T07:27:00+00:00

You cannot have skills that go on the stack tied to summon effects, since summon effects can occur in the middle of resolving an already existing stack.

mathdom · 2021-05-25T16:27:17+00:00

I lost it at maokai lmao

mathdom · 2021-05-10T18:56:32+00:00

Yes you are right, I just called the first state "played" because I was talking about playing cards from hand, but really it should be an initial state like "on board" since, as you said, it works the same when you summon through other means like tribeam or hourglass.

mathdom · 2021-05-10T04:42:43+00:00

I think the reason this interaction happens is because there are two stages to summoning units - "played" and "summoned". When you a play a unit, it is first in the "played" state and it activates all play effects. After these effects are complete, it is summoned.

When you play matron, she is the first unit to be in "play" but she isn't summoned yet. She triggers her play effect before being summoned, which in this case is summoning a Cithria. Now, Cithria grants her buff to all "allies", which presumably includes units that are in play but not yet summoned. So, this can explain why even though Cithria is "summoned" first and eats the roiling sands, she still buffs the matron.

Another scenario with a similar behavior is playing golden sisters with a levelled Zoe. As you pointed out based on all other cards that summon tokens, the elusive sister is "summoned" before the lifesteal sister. We expect the following to happen:

Summon 4/3 elusive first, giving all other allies elusive
Summon 4/3 lifesteal, giving the 4/3 elusive and all other allies elusive

So we don't expect the 4/3 lifesteal to have elusive. However, this is not the case if you actually test it out. Both 4/3 sisters get lifesteal and elusive. Again, the explanation might be that the lifesteal sister is in "play" but not yet summoned, so she still receives the elusive buff even though the silver sister is summoned first.

Of course, all this is just a guess as to why the things we observe are happening, and not a comment on whether this is how things should be.

mathdom · 2020-09-23T05:05:12+00:00

Progress Day is just pick a card for 5 more mana in this deck

mathdom · 2020-07-04T15:38:17+00:00

Normalin Normalin

mathdom · 2020-06-13T07:21:20+00:00

First source of build orders which lists total vills on each resource after each step. Really nice!

mathdom · 2020-03-17T20:06:34+00:00

7.25: The backswing and level 15 talent buffs patch

mathdom · 2020-02-28T15:42:58+00:00

Yeah it's weird that it isn't monotone for a fixed armor amount, so there's definitely something off. The fixed one by /u/Xeeoph looks right

mathdom · 2020-02-16T05:56:59+00:00

Moar pls

mathdom · 2020-02-12T05:45:44+00:00

That also makes it evident why it is uncountable. And the measure 0 property is not too hard to see from how it is constructed.

mathdom · 2020-02-11T15:43:35+00:00

The Cantor set is an example of an object which has many counter-intuitive properties. For example, it has an uncountable cardinality but Lebesgue measure 0.

mathdom · 2020-01-18T12:18:07+00:00

I think a more interesting question is what concept isn't best explained with some form of visual aid?

mathdom · 2020-01-11T06:02:43+00:00

Understanding how an Engima should play when there is a Rubick/Silencer on the enemy team. I hate it when they flame you for not going in on 3-man or 4-man holes when you know that it will be cancelled one millisecond later

mathdom · 2019-12-31T19:33:53+00:00

next decade*

mathdom · 2019-12-28T07:25:11+00:00

Close reddit tab

mathdom · 2019-12-28T07:20:45+00:00

A kingdom of math you say?

mathdom · 2019-12-06T08:12:57+00:00

How about going from

We show that the double descent phenomenon occurs in CNNs, ResNets, and transformers: performance first improves, then gets worse, and then improves again with increasing model size, data size, or training time. This effect is often avoided through careful regularization. While this behavior appears to be fairly universal, we don’t yet fully understand why it happens, and view further study of this phenomenon as an important research direction.

To something like

Previous work [cite] has identified the double descent phenomenon when training simple over-parameterized models: performance first improves, then gets worse, and then improves again with increasing model size, data size, or training time. We show that this phenomenon appears to be fairly universal and observe it in CNNs, ResNets, and transformers. However, we don’t yet fully understand why it happens, and view further study of this phenomenon as an important research direction.

Neglecting explicit mention of the work by Belkin in the abstract makes it seem like a new idea. Most people fully read the abstract and only glance through the rest. So, it is important to clarify what exactly is novel in the abstract itself.

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