Mathematics Stack Exchange
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Questions tagged [random]

Questions relating to (pseudo)randomness, random oracles, and stochastic processes.

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Difference Between Chaos and Randomness

I was watching the following video: https://youtube.com/shorts/fK1VmX9mzRw?feature=share In the video, they claim that a double pendulum is not "random" but "chaotic". The future trajectory of the double pendulum is unpredictable at any time, and…
stats_noob
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Expected cycle length in random set

We know that expected cycle size of a random element in random permutation is $\frac {n+1}{2}$: https://en.wikipedia.org/wiki/Random_permutation_statistics#Expected_cycle_size_of_a_random_element But let's consider random set of n-bit random numbers…
Tom
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Looking for pseudo random / iterative function that generates similar numbers for similar seeds

I am writing some code to generate 2D polygonal creatures based on 2 arguments: number of edges and a seed. Using the seed and the iterative function, i generate a sequence of radius which defines the position of the corners of the polygon (rotating…
Blucenere
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Do all LCG-based PRNGs suffer from predictable patterns?

I needed to produce trivial (low-quality) random integers and remembered how simple linear congruential generators were to implement from school: Went to Wikipedia, found the first example which appeared to produce 32 bits (sourced from the…
ardnew
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Denoting Random Numbers in Equations

I'm trying to document an equation in a report that uses a random number generated between 1 and 0, is there any formal way in mathematics to document this or should i just use the letter r?
Dean
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Pseudo random number generator with short period

I need to create a good quality random number generator that generates integer numbers in the range $0$ to $N-1$ where $N$ is a number in the single or tens of thousands. For example, $N=4096$. The generator's period should be $N$ and it should…
paperjam
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Generating a set of random numbers such that their sum falls within a range

I'm sure this is something that I should be able to google but for some reason, I just can't structure my question properly... Basically: Given a set of size N, I need to generate numbers between A and B and ensure that the resulting sum of the set…
Big Bad Waffle
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Normal Random Variable transformation distribute as N(0,1)

We know that a random variable Y $\sim N(0,1)$ We define the random variable $Z= Y \mathbb 1_{|Y|\leq a} - Y \mathbb 1_{|Y|>a}$ I want to proove that Z $\sim N(0,1)$, and I know that I've to do the transformation, but I don't know how to do it…
luisegf
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how to find the totalamount of hot metal filled in?

I have a truck carrying hot metal. There is always some unknown amount of residual hot metal inside this truck. At start of day i fill it up with some amount of hot metal. I take this truck to weigh bridge and weigh it. Then i take it to the…
bipin_s
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Translate 0 to infinity ratio to a 0-1 range

I'm a programmer and terrible with math notations, so sorry for the bad formatting. I have tree points, lets call them P, A and B. I have the distance from P to A and P to B, and I want to choose the point A or B randomly, but weighted depending on…
Mockarutan
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Prove $\mathbb E(X∣Y)=0$ for $2$ variables

I was looking for an example of two dependent random variables in which $\mathbb E(X|Y)=\mathbb E(X)$ I found this example: $X∼U[−1,1]$ and $Y=X^2$ How can I prove that $\mathbb E(X∣Y)=0$? thanks!
Nofar Piri
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Whats a very simple sequential random number generators that doesn't produce a repeating pattern?

I need a simple as possible deterministic random number generator from 0-N that I can chuck a number from 1-Infinity into and get a random number out of, without it the pattern repeating over and over again. Is this even possible? If so what would…
user2741831
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How can this be calculated? (Shuffled deck)

In one of Professor Layton's games there is a puzzle that has picked my interest. I mean, I know the answer using logic, but I am not able to produce an equation, so I hope someone could help me. "There are 52 cards in the deck below -26 black and…
psicocelta
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Can a random number be created from competing non random numbers

Think about the following situation: Elections are held by dropping notes with the symbol of the political party to a ballot box. In order to save on time, a new automatic counting machine is proposed to count the votes at each ballot box. But,…
SIMEL
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From a sequence of sets that transitions from all same value to completely random, how to know when it's made the switch?

Say I have a sequence that starts with: H, H, H, H, H, H, H, H Now each time I get another element one of two things can happen: it exhibits the same amount of randomness as the previous element T, T, T, T, T, T, T, T it exhibits more randomness…
Aaron Anodide
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