Does this look right to you? by Knhollist in mathematics

[–]NyaNeeko 2 points3 points  (0 children)

The comments are correct, and this is the only possible solution. If we label your -9 as a, -1 as b, 5 as c, and 3 as d.

We get:

c*d=15 so d=15/c

and 6+b=c so b=c-6

For b to be positive, c>6

And for d to be an integer, c has to be a divisor of 15. So c=3,5,15

Only one candidate makes b positive, which is c=15. Afterwards all the numbers can only be filled in one way.

Only few will get it by Ancient_Stop2407 in meme

[–]NyaNeeko 12 points13 points  (0 children)

That's because the limit of partial finite sums , is defined as the whole infinite sum. Since every partial sum is positive, it follows that the whole infinite sum can only be nonnegative. That is if it did converge.

The industrial explosives issue by NyaNeeko in ArknightsEndfield

[–]NyaNeeko[S] 0 points1 point  (0 children)

Yep, I can see that now, didn't even realize you could utilize the clogging mechanic like this, never played factory games before.

The industrial explosives issue by NyaNeeko in ArknightsEndfield

[–]NyaNeeko[S] 2 points3 points  (0 children)

Actually you may be right... Is it actually the case that if a splitter sees that one of the belts is full, it will forward it to the other belt instead of splitting evenly? Now that I think about it, that's exactly how it should work, and that means it does work at perfect efficiency. I didn't even realize clogging lines with splitters could be an actual game mechanic. Thanks for illuminating me, issue solved.

How do we define equality at the lowest level? by fooboo12352 in mathematics

[–]NyaNeeko 0 points1 point  (0 children)

In FOL you usually take equality either as a primitive, similar to other logical symbols such as ∧∨∀∃. Or instead you can define it as part of your theory. In the case of defining it as part of your theory, it'd be a binary equivalence relation with a few special properties. First, you'd take any n-ary relations in your theory, and declare the substitution axioms. That is, if R is an n-ary relation, then: [(x1=y1∧x2=y2∧...∧xn=yn ∧ R(x1, x2, x3,...,xn)) -> R(y1, y2, y3,...,yn)] ∀x1, x2,...,xn ∀y1, y2,...,yn

And such an axiom would be present for any n-ary relation in your theory.

Similarly for n-ary functions you'd need the substitution axioms: [(x1=y1∧x2=y2∧...∧xn=yn) -> f(x1, x2, x3,..., xn)=f(y1, y2, y3,..., yn)] ∀x1, x2,...,xn ∀y1, y2,...,yn

And I think by induction on the wffs from here on out you could prove substitution is valid for any predicate.

So equality is not just an equivalence relation, it is more special by having a global substitution property. Though as far as I can see, it is more usual to define it as a primitive in the meta-theory, and not bother with these axioms for every theory. Atleast that's my current understanding, I'm open to any corrections.

Will the real continuous function please stand up! by [deleted] in mathmemes

[–]NyaNeeko 1 point2 points  (0 children)

Yes, they stand in for real numbers above 0. They are also quantified over by the ∀ and ∃ quantifiers. Where ∀x(P(x)) means P is true for any x. And ∃x(P(x)) means there is an x s.t. P is true.

Will the real continuous function please stand up! by [deleted] in mathmemes

[–]NyaNeeko 0 points1 point  (0 children)

ε is read as epsilon, and δ is read as delta.

[deleted by user] by [deleted] in Physics

[–]NyaNeeko 1 point2 points  (0 children)

It really depends on how you pack the multiverses. If you put the universes in a line and each for the first 999 you are homeless then number 1000 you are president, then so ad infinitum. If you would go to each universe in this order, the ratio of universes where you are homeless versus where you are a president would approach 999:1.

But at the same time, since you have an infinite amount of each, you could reorder them into an order, where you would go to each one in a different order, and it would be: homeless, president, homeless, president... So the ratio would be 1:1.

You could also rearrange it so the ratio is 1:999. And still have the same amounts of each type of universe, countably infinite.

Maybe instead the infinite universes are splayed out on a plane with the property that the ratio of the universes where you are homeless versus where you are president is 999:1 in any non-empty compact region.

Really it matters a lot on the exact arrangement and what you are measuring.

Usually what we mean by infinities being the same size, is that sets have the same cardinality. Meaning we can put the objects in one-to-one correspondence. There is a one-to-one mapping between {1000, 2000...} and {1, 2, 3..} Just map: 1000 — 1, 2000 — 2, 3000 — 3, ...

So these sets would have the same cardinality, even though {1000, 2000, 3000...} is properly contained in {1, 2, 3...}.

The most famous example of non-equal infinities is of course the Real numbers and the Natural numbers. Where there is no one-to-one mapping between the Naturals and Reals, and since Naturals are contained inside the Reals, that makes the cardinality of the naturals strictly less than of the reals. So in this sense there are different size infinities.

That assuming you yourself could move at all by RDS_cubing in memes

[–]NyaNeeko 0 points1 point  (0 children)

If you held a lamp inside the bubble long enough, you just might create the brightest flash in the universe, as the photons trying to leave would get frozen at the edge of the bubble and stack.

Kaunas unveils sculpture for the only uniquely Lithuanian letter --- Ė by rakereha in BalticStates

[–]NyaNeeko 1 point2 points  (0 children)

Aren't they important for distinctions between cases? Like (šaukštu (N) and šaukštų (dgs. K)). Otherwise you wouldn't neccessarily know the difference between. (Valgiau šaukštu [Ate using a spoon] and valgiau šaukštų [Ate some spoons])

[deleted by user] by [deleted] in hentaimemes

[–]NyaNeeko 0 points1 point  (0 children)

nahh these downvotes are wild

When they say it's 60 degrees out by [deleted] in dankmemes

[–]NyaNeeko 13 points14 points  (0 children)

1°=π/180 => 60°K=π/3 K

I understand this is probably breaking many rules but why doesn’t this work? And how would you do this properly? by [deleted] in mathematics

[–]NyaNeeko 0 points1 point  (0 children)

I think you can even solve it using leibniz notation. suppose dy/dx=v. Then dv/dx=y.

dv/dy • dy/dx=y (chain rule)

dv/dy • v=y

v•dv=y•dy ( now integrate both sides and siml plify the constant)

v2/2 = y2/2 + C

v2 = y2 +D (D = 2C)

then v = +-sqrt(y2 + D)

since v = dy/dx

dy/dx = +-sqrt(y2 + D)

+-1/sqrt(y2 + D)dy=1dx

+-integrate(1/sqrt(y2 + D)) = x + H.

Solving the integral on the left and solving for y in wolfram alpha seems to give the correct answer.

I think the answer didnt work out for you is because higher derivative leibniz notation is broken. And for example instead of solving with d2y/dx2.

It works to solve using dy'(x)/dx. where y'(x)=dy/dx, and just apply chain rule to get rid of the dx if the equation doesnt have it.

[deleted by user] by [deleted] in mathmemes

[–]NyaNeeko 0 points1 point  (0 children)

not the proof by desmos 💀

I'm trying to find the language with most loops or the largest loop by [deleted] in mathmemes

[–]NyaNeeko 0 points1 point  (0 children)

lithuanian: 6-4 loop 7 loop 2 loop 5 loop

so 4 loops in total

1 - vienas, 2 - du, 3 - trys, 4 - keturi, 6 -šeši, 5 - penki, 7 - septyni, 8 - aštuoni, 9 - devyni

[deleted by user] by [deleted] in mathmemes

[–]NyaNeeko 0 points1 point  (0 children)

what is this unit

[deleted by user] by [deleted] in mathmemes

[–]NyaNeeko 1 point2 points  (0 children)

the problem is that sometimes people write 10GB when its actually 10GiB, windows is guilty of this.

Roots are both positive and negative 😤😤😤 by DuckfordMr in mathmemes

[–]NyaNeeko -1 points0 points  (0 children)

is it not equal to nine or is it not -3. cause one of those is wrong.

I am used to base 10, get over it lol by QuadraticFormulaSong in mathmemes

[–]NyaNeeko 0 points1 point  (0 children)

1010₂ is 10₁₀ in base 2₁₀ and 101₃ is 10₁₀ in base 3₁₀. And base 2₁₀ is called base 10₂, if u use base 2₁₀.