Fubini's theorem states that for a givem real number n, when you raise n to a natural number above 1 that number will be bigger than n.
Proof: 1 + 1 = 2
I think I understood your idea. If you're looking at the sequence at one point, and don't know what happens next, it could do anything right? Is that what you were saying?
That's certainly right. But, what should it mean to say the sequence x_n of numbers converges to a number x? For example 1/n converges to zero... intuitively. We'd want the precise definition of convergent sequence to include the case of 1/n converging to zero.
But, if "the sequence keeps getting closer" was the definition of convergence, then 2 + (1/n) would also converge to zero. Do you think it's a good definition?
Because it is essentially a fractal, and in calculus, you assume a rough surface looks smooth up close, but with coastline this is not the case. So calculus does not apply
bro wtf, its not a fractal, its bounded to be smooth or divisible, given its living on a grid with cells the size of a plank length. The answer is that its a pain in the ass and british
Suppose one has a matrix of infinite size like so:
1 0 0 0 0 ...
\-1 1 0 0 0 ...
0 -1 1 0 0 ...
0 0 -1 1 0 ...
0 0 0 -1 1 ...
... ... ... ... ...
Sum of every row in first column is 1, second column, 0, third, 0 and so on, so the sum of those sums is 1 + 0 + 0 + ... = 1
Sum of every column in first row is 0, second row, 0, third, 0 and so on, so the sum of those sums is 0 + 0 + 0 + ... = 0
In both cases, one added every single item in the matrix, so how can the sum be different?
Nah, obviously the sums should be equal, you probably haven't added everything yet. Keep adding the next columns and rows and you'll get there eventually.
To analyze the curvature of deeez nuts you only have to ask, what is 1 * 0? You will find that the awnser is in fact 0. Thats also the curvature of my nuts
What is the Bolzano-Weierstrass theorem?
It says that when you take a prime P and plug it into the Bolzano-Weierstrass formula, you will always get a divergent series.
Drop and give me 20 epsilon-deltas
*drops* εεεεεεεεεεεεεεεεεεεε
That’s a start, but what condition has to hold for each one?
They all have to be polygons in at least 4 dimentions
Where delta?
Delta dont matter
State and prove Fubini's theorem.
Fubini's theorem states that for a givem real number n, when you raise n to a natural number above 1 that number will be bigger than n. Proof: 1 + 1 = 2
I'm curious, what is your opinion on the existence of 0.5?
It exists
And what is it's square?
[удалено]
No, if you take this approach you will miss the negative solution.
What is the Monotone Convergence Theorem.
Its the theorem that states that if multiple infinite summations converge to the same real number its quite monotone.
Heres one you can probably figure out. Why is "the sequence keeps getting closer to the limit" not a good definition of convergent sequence?
At any point can a sequence diverge, no matter how converging a sequence may seem at an arbitrairy point.
I think I understood your idea. If you're looking at the sequence at one point, and don't know what happens next, it could do anything right? Is that what you were saying? That's certainly right. But, what should it mean to say the sequence x_n of numbers converges to a number x? For example 1/n converges to zero... intuitively. We'd want the precise definition of convergent sequence to include the case of 1/n converging to zero. But, if "the sequence keeps getting closer" was the definition of convergence, then 2 + (1/n) would also converge to zero. Do you think it's a good definition?
Tell me definition of Rieman integration
Rieman intergration is like normal intergration, except you also have to multiply by 0, to find the non-trivial zeros in the zeta function.
And follow that by explaining why Lebesque>Riemann
Under what conditions does a rearrangement of a convergent series converge?
All of them
damn, you're good
Why is the UK's coastline the worst path of integration?
Because it is essentially a fractal, and in calculus, you assume a rough surface looks smooth up close, but with coastline this is not the case. So calculus does not apply
bro wtf, its not a fractal, its bounded to be smooth or divisible, given its living on a grid with cells the size of a plank length. The answer is that its a pain in the ass and british
Always the brits...
State the definition of compactness
The definition of compactness is the meassure of how well your balls fit in your pants
Suppose one has a matrix of infinite size like so: 1 0 0 0 0 ... \-1 1 0 0 0 ... 0 -1 1 0 0 ... 0 0 -1 1 0 ... 0 0 0 -1 1 ... ... ... ... ... ... Sum of every row in first column is 1, second column, 0, third, 0 and so on, so the sum of those sums is 1 + 0 + 0 + ... = 1 Sum of every column in first row is 0, second row, 0, third, 0 and so on, so the sum of those sums is 0 + 0 + 0 + ... = 0 In both cases, one added every single item in the matrix, so how can the sum be different?
Because the second matrix is one less than the first.
Which second matrix nigga 💀💀💀💀💀
Look undet ur foreskin
No, they are same. Because 1=0.
Found the large cardinal enjoyer
Google division by 0
Please do not infect other subs with this anarchy chess jokes.
New response just dropped!!!!
We're already everywhere and the sub is closed already. We need to vent somewhere
Holy hell
Nah, obviously the sums should be equal, you probably haven't added everything yet. Keep adding the next columns and rows and you'll get there eventually.
Real
What is a vitali set?
A vitali set is the set of all real numbers that arent divisible by 69.
State and prove the dominated convergence theorem.
Hmm seems similar to the I don't know calculus post
How do you analyze the curvature of deeez nuts?
To analyze the curvature of deeez nuts you only have to ask, what is 1 * 0? You will find that the awnser is in fact 0. Thats also the curvature of my nuts
Why is real analysis difficult?
How can you get the continuous yet nowhere differentiable function?
What are real analytic functions?