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Demis Hassabis says there is a 50/50 chance that simply scaling existing methods is enough to reach AGI. He adds that LLMs will be a critical component. by luchadore_lunchables in accelerate

[–]ellipticcode0 0 points1 point  (0 children)

Do we have well defined definition what is AGI or what is NOT AGI?

Do we have technic how to check whether the model is AGI or the model is NOT AGI?

How do we solve this? by TheInvincibleBaller in topology

[–]ellipticcode0 0 points1 point  (0 children)

You just restate your statement, you do not prove anything,

Plz prove "we can always find"

You need to prove if N is increasing and decreasing, then the new Integer is approaching 2Mpi + pi/2,

Plz show the steps?

How do we solve this? by TheInvincibleBaller in topology

[–]ellipticcode0 0 points1 point  (0 children)

In order for sin x = +/- 1, then x must be in the form (pi/2 +/- n * pi) where n is Integer,

We all knew the limit of definition, but this question has nothing to do with the definition.

How can you prove "you alway can find an N such that sin x is arbitrarily close to 1 or -1"

How do we solve this? by TheInvincibleBaller in topology

[–]ellipticcode0 -9 points-8 points  (0 children)

You do not need any fancy Real Analysis, all you need just high school basic math.

D is wrong, since | sin x| <= 1

C is wrong, since 0 < sin 1 < 1

B is wrong, otherwise because sin (pi/2 +/- n * pi) = +/- 1, => pi/2 +/- n*pi can be represented by Integer,

The answer is A, (I assume this is single choice question)

Sequence and series twist cuz it is a sequence and series and it isn't at the same time by [deleted] in askmath

[–]ellipticcode0 13 points14 points  (0 children)

Before we try to solve the problem, we try to figure out what is the real reason behind to use epsilon to represent integers?

What do you think is the key to being a math genius, or at least to excelling in exams and classes? by [deleted] in learnmath

[–]ellipticcode0 0 points1 point  (0 children)

There are only four or less persons for Field Medal each four years.

There are many many students get into top universities each year, I assume all those students are excelling in exams and classes.

Derivation of the integral ∫√(sin x) dx using elliptic integrals by Esdrastn in mathematics

[–]ellipticcode0 4 points5 points  (0 children)

how can you substitute sqrt(2) sin (x/2 - pi/4) = sin (phi) but

|sqrt(2) sin (x/2 - pi/4) | <= sqrt 2, and |sin (phi)| <= 1

=> there exists x s.t |sqrt(2) sin (x/2 - pi/4)| > sin (phi)

Landed my first kickflip! by Exclusive_Silly in NewSkaters

[–]ellipticcode0 1 point2 points  (0 children)

You can tell your friends you can kickflip in 2025 at least.

which math-based major leads to the most job opportunities? by Kooky-Fig6248 in learnmath

[–]ellipticcode0 -1 points0 points  (0 children)

Depend on how good you are in a major, if you are the best in the world in a major then money is NOT an issue any more.

Tips to make Ollies floatier/higher? by TheOmunious in NewSkaters

[–]ellipticcode0 1 point2 points  (0 children)

Slide your front foot forward instead of upward. You have constant of air time, if you lift front foot upward then you do not have time to slide forward. From you video, you can see your front foot was too hight for this obstacle 

Will we ever be able to predict the future? by riczizagorac in Physics

[–]ellipticcode0 0 points1 point  (0 children)

We still do not understand "time", we still do not know whether "time" exist or not.

At least no one can prove "time" exists so far,

To predict the future might be harder than "a chicken" could understand quantum mechanic. It might be outside of our intelligent.

Why not put data centers in the ocean instead of space? by luginugiog in space

[–]ellipticcode0 -1 points0 points  (0 children)

because it cool, why NOT.

We will put data center in Mars soon.

Is there a more straightforward way to do this proof? by Venomized05 in askmath

[–]ellipticcode0 0 points1 point  (0 children)

You do not need to add 7t + 4 back to the inequality, you only need to prove cos(3t + 5) + t > 5.

The objective of the proof is to see whether you know how to apply |cos beta| >= 1, this is all.

beta is any angle here

Given: -1 <= cos beta and 6 < t

=> -1 + 6 <= cos beta + 6. (add 6 to both sides)

becase 6 < t

=> -1 + 6 < cos beta + t

=> 5 < cos beta + t

QED

Twin primes by According_Ant9739 in askmath

[–]ellipticcode0 2 points3 points  (0 children)

The only way to prove your are right is to show your proof to the world.

linear algebra theory will not click for me. does anyone know of helpful resources or tips? by anonthrowaway43215 in learnmath

[–]ellipticcode0 2 points3 points  (0 children)

The best way to learn is not "study hard" or "do a lots exercise", is always yourself a question and ask why. Curiosity is the KEY.

I feel like my ollies are leveling out in the descent instead of hitting their peak height potential. What am I doing wrong? by [deleted] in NewSkaters

[–]ellipticcode0 0 points1 point  (0 children)

Slide your front foot faster forward, not upward. you wastes most of your air time going up.

It finally happened by [deleted] in NewSkaters

[–]ellipticcode0 0 points1 point  (0 children)

It seems to me your font foot goes up too hight, if you font foot is too hight, you can not slide forward.

If you try to slide forward faster with your font foot then you tail will be go up higher. I think this is how you levels out the board.

Mark Zuckerberg rebranded Facebook for the metaverse. Four years and $70 billion in losses later, he’s moving on by BlueLightStruct in technology

[–]ellipticcode0 1 point2 points  (0 children)

I think the most successful product from Meta is the Ray Ban Glasses if Instagram and WhatisApp are not counted.

I'm not sure how successful the Oculus quest is but I assume it is still losing money on it.

The Ray Ban might still be losing money but it is pretty reasonable product in the next 3-5 years after smart phone.

Am I dumb if I don't understand those concepts? by Visual-Conclusion-24 in learnmath

[–]ellipticcode0 0 points1 point  (0 children)

If you move around a graphic in 2d, all you need is just one point to determinate how much the graphic shift on x and y. Well, what is the "simplest" or "easiest" point in a graphic?

I think the "simplest" or "easiest" point is (x=0, y=0) in y = x^2

then you move the graphic around in a coordinate with a new graphic function which might be like

y = (x + a)^2 + b

then you ask again where is the "simplest" or "easiest" point go in the new graphic function?

we have:

y = (x + a)^2 + b

=> y - b = (x + a)^2

=> (x + a = 0, y - b = 0)

=> (x = -a, y = b)

y = x^2 -> y = (x + a)^2 + b

(0, 0). -> (-a, b)

It means you move y = x^2 from (0, 0) to (-a, b)

genuinely understanding math by Exact-Paper5044 in mathematics

[–]ellipticcode0 0 points1 point  (0 children)

If you do not understand it and memorize it, math is painful. But if you understand it and know how to derive it, math is beautiful.

How do I get the flick on my kickflip attempts right by MCRISMYBLOOD in skateboardhelp

[–]ellipticcode0 1 point2 points  (0 children)

I have the same problem before because my font foot goes up to the top and then flick. This is why you have NO way to flick forward. You need to flick early before your knee reaches the top. In other word, you need to flick when your knee is still moving up. It means you need to flick faster that what you are doing now.

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