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Any word on the current genocide being perpetrated by Israel?


Yes. If you’re a small country with little army, don’t throw 7,000 rockets on a bigger country’s living neighborhoods between Jan 1st 2023 and Oct 7 2023. This is not Dresden here.


> fútbol

futebol


Where did you get the 'ideal' 29 number from?

The expected (in statistical sense) number of rotations needed is 32 but it could be as low as 24.

Now that I think it better that means the shuffle was fixed.


' What prevents folks to stay 179 days in Mexico and 179 days in Costa Rica?'

costa rica visa is 90 days maximum for starters

'expats' are very entitled; they want all the conveniences of a 'third world country' (they will call it 'shithole' when their n-th consecutive entry is denied) they want all the cheap rent;services;food ; they want to use the roads; sidewalks; beaches; national parks; police; emergency services but god forbid you ask them to pay income taxes as a local if they are going to work from their host country ' it is preposterous; i already paid 10% vat on my 2 dollar frapuccino'


and now your face is linked to your ip in a db somewhere


i will give you 1 million usd if you find 1 of mine. people are different


> we've had thousands of years awareness & contact with those cultures.

Who is "We" here? Because I would easily bet this is not the case for most of the population in the world

> Anyone who wasn't a catholic was probably considered subhuman by the truly appalling conquistadors

Thanks God for the superior and enlightened British colonizers,you can see the different policies in current native populations in the US compared to the Spanish-ravaged south.

> news to me.

Spoken like one who has not spent 1 min with people with Native-American ancestors.


It didnt. It had a perceived dimming factor of 10:1 which suggests (but does not prove) a "weird" shape


> If there's no market for such pictures, likely less children will suffer the consequences.

The market will always exist: pedophiles. They have been and will be among us until the end of times.

> Fighting the crime directly is important, but so is doing it indirectly.

Yes, but the difference is so abysmal that you know where is more important to put the effort. Stopping even 1 child of being abused is better than stopping the sharing of 1 million child porn pics.


You're assuming that fighting one has no relation to fighting the other. Often the way breakthroughs are made here is in the disco very of networks and the roles of key players in the networks. In some cases, CP is shared by trading, with higher value placed on "new" material, which directly creates an incentive to produce CP not just distribute.

https://en.wikipedia.org/wiki/2013_International_child_porno...


> (0b) A linear transformation f(x) = Ax is its own derivative, f'(x) = Ax

f'(x) is just A , not Ax,

f'(x) != f(x)


(I vouched for this comment since it exposes a common misconception people have about derivatives, and I'd rather reply than have it buried)

It's unfortunate that the connection between matrices and linear transformations, and thereby between derivatives and linear transformations, is not adequately emphasized in the math courses that most people take.

The derivative (or differential, or total derivative) of a function f : R^m -> R^n at a point x ∈ R^m is defined, formally, to be a linear transformation A : R^n -> R^m such that

       || f(x+h) - (f(x) + A(h)) ||
  lim  ------------------------ = 0
  h->0          ||h||
Where ||.|| indicates a vector norm that measures the magnitude of its argument. Unpacking a bit, notice that

> h is a vector in R^m

> f(x+h) is the exact value of f at x+h

> f(x)+A(h) is a linear approximation to f(x+h), using x as the base point and A as the linear approximator

So this just a formal way of saying that the dervative A should be a good linear approximation to f.

Every linear transformation has a corresponding matrix, and every matrix corresponds to a linear transformation (with respect to a choice of basis). So, when we say "the derivative of f at x is the matrix A", we really mean that "the derivative of f at x is the linear transformation represented by the matrix A".

EDIT: In response to the parent poster, who has dug their heels in by posting a now-dead rant in reply to this post, I encourage you to refer to a copy of Rudin, "Principles of Mathematical Analysis", for a rigorous treatment of derivatives. See also: representation theory and group actions.


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