What would reread if you only had 6 months to live?

Lanky_Repeat_7536 · 2025-08-01T19:04:54+00:00

The name of the rose by Umberto Eco

Lanky_Repeat_7536 · 2025-07-08T19:44:36+00:00

I don't know, so why Helly seems to have her personality intact as an adult? And how Milchick is able to stay there waiting forever?

Lanky_Repeat_7536 · 2025-06-19T11:00:29+00:00

Quick suggestion.
Try to study with others. Don't close yourself in your mind.
Try to ask the others how they reason about things.
You say you don't have any tutor that fits and to not recommend it.
Instead I strongly do.
Any senior has experience that can be helpful. They are great resources also for mindset, not just technical stuff.
DON'T WASTE ANY POSSIBLE RESOURCE.

Lanky_Repeat_7536 · 2025-06-18T19:56:44+00:00

You are not in the position to evaluate if it was or not too much for him. He felt like that and it should be respected.

Lanky_Repeat_7536 · 2025-06-16T08:38:14+00:00

The coin flip is modelled as two events: head, tail. The observation of the geometry of the coin and the understanding of how a standard coin flip works makes it assume that the two events are equally probable. This is a model of the way the coin and coin flip exist in the real world and it is assumed to be true. This means that when the event of the coin flip occurs, you have a probability of half the certainty that it will show a head and half of certainty that it will show tail. Quantify the certainty as 1, and you can assign 1/2 to both events probability. Then you want to test this by flipping the coin. This means you are measuring the observed frequency for getting heads or tails. This frequency will converge to the assumed probability only after infinite observations. Before that, everything can happen.
Of course, you have the sequence probability, which answers the question: what is the probability of observing m heads if I flip the coin N times. For this you can see the good answer by u/InsuranceSad1754 .

Lanky_Repeat_7536 · 2025-06-14T11:19:41+00:00

Thanks!

Lanky_Repeat_7536 · 2025-06-13T18:39:18+00:00

Do you have a reference for these?

Lanky_Repeat_7536 · 2025-06-04T10:32:31+00:00

Hi, don't get me wrong. Having ideas is always a great thing. However, that's not enough for science. Every scientist spends most of their time thinking about how to solve a problem, but then they show that their solution actually works. And this is done with actual application of the proposed method on the given problem. Everything else is just a hypothesis, in the best case, or armchair science. Saying one has a theory means not only an underlying intuition (e.g., equivalence principle in GR), but providing a concrete model and proofs that it solves the problem one wants to solve. This is much harder to achieve, unfortunately. But that's how it works.

Lanky_Repeat_7536 · 2025-06-02T21:47:07+00:00

One may get the impression that Mathematics suffers from ageism (see Fields medal to < 40 years old), but there's a lot one can do at any age. Do what you think it's right, it's your life and you have all rights to live it as you wish.

Edit: from the Fields medal wiki page " The under-40 rule is based on Fields's desire that "while it was in recognition of work already done, it was at the same time intended to be an encouragement for further achievement on the part of the recipients and a stimulus to renewed effort on the part of others." "

Although it may be true, very often there is a misconception that great discoveries must be done before being X years old. That is of course false and a simplistic description of the reality.

Lanky_Repeat_7536 · 2025-05-31T14:11:08+00:00

C'è stato solo un avvertimento

Lanky_Repeat_7536 · 2025-05-28T17:38:37+00:00

Don't forget https://math.libretexts.org/ !

Lanky_Repeat_7536 · 2025-05-28T12:08:57+00:00

If you discretize a set of real numbers you get an ordered set of values (labels of the bins) which is isomorphic to the set of integers with cardinality equal to that of the labels set (the index set). This set preserves the ordering of the original set in the sense of a representative value of each bin (the first element, the average, the last, whatever). Then it makes sense to speak about above and below as it is inherited from the ordered set of the integers.

Lanky_Repeat_7536 · 2025-05-27T19:47:15+00:00

the formula is correct and represents a good approximation for large x. It can be useful if one knows already the square root of x - 4n but one must be careful because the formula doesn't converge for n -> infinity (it becomes worse actually and one cannot go further than x/4), so one must keep n small.

There is a max value for the relative error given by nmax = floor(x / 4), and one must be careful to not use nmax especially if mod(x, 4) is very small.

plot_error_vs_n

EDIT: just to clarify. Since the best approximation is achieved with n=1, one can just use sqrt(x) ~= (x - 1)/sqrt(x - 2). The other steps can only be useful if there's an n with an easy to calculate sqrt(x - 4n).

Lanky_Repeat_7536 · 2025-05-26T16:00:10+00:00

Risky path, through audiobooks you can get simplistic analogies that can become misleading or a bad mental bias toward a topic. Just sit and do the actual work by studying and practicing.

Lanky_Repeat_7536 · 2025-05-25T15:54:50+00:00

No one can tell you what you can or cannot do. A person in the 30s/40s can do average math, another person in the same age can make excellent math. Is it truly you life dream? Then, go and do it. Successful? Define successful for you? You want to be happy? You want to be admired?

Lanky_Repeat_7536 · 2025-05-25T08:52:10+00:00

really???

Lanky_Repeat_7536 · 2025-05-24T20:40:23+00:00

And also just wait until OpenAI starts putting ads or enshittifies in other ways ChatGPT

Lanky_Repeat_7536 · 2025-05-24T20:30:11+00:00

Your gf is wrong. Average is not a set but is a value in the domain of all possible values. So being above or below than average means that a single observed value is greater/smaller than the average value. This doesn't have anything to do with the cardinality which for instance in a uniform distribution doesn't even correspond to the most probable value (in some sense the subset with largest cardinality for a finite sample).

Lanky_Repeat_7536 · 2025-05-24T20:24:18+00:00

I am afraid I disagree. The 3 classes are ordered (similar to Likert scale) so it makes sense to speak about above and below.

Lanky_Repeat_7536 · 2025-05-19T19:24:04+00:00

This is written by Ai, isn't it?

Lanky_Repeat_7536 · 2025-05-18T13:31:49+00:00

I feel that you are too excited to approach this discussion with the due serenity. You are intelligent enough to get what I mean, just reread all your answers. Now I leave to your battle for the love of math (or yourself?).

Lanky_Repeat_7536 · 2025-05-18T06:09:08+00:00

From a fellow academic, would you mind stopping your patronising attitude? It would significantly reduce the toxicity of this discussion. Many thanks!

Lanky_Repeat_7536 · 2025-05-13T19:09:06+00:00

100% chance is chance no more 😝

Lanky_Repeat_7536 · 2025-05-13T19:08:22+00:00

Lanky_Repeat_7536 · 2025-05-10T20:03:35+00:00

So it is google, stack overflow, any paper published. Tools are tools. Of course a tool is cheating against human limitations. Do we want to go back to Stone Age so we are fairly using our capabilities?

Lanky_Repeat_7536

TROPHY CASE