Questions tagged [simulation]
A vast area which includes generating results from computer models.
735 questions
-1 votes
1 answer
57 views
Random walk on surface of a cylinder [closed]
I am looking into random walk on top of $3D$ surfaces, say along the surface of a cylinder when surface is distributed into equidistance lattice points. I can't find much of it online. Anywhere I can ...
0 votes
0 answers
38 views
Optimal draft position in a 12 man fantasy football snake draft
I’m trying to analyze fantasy football drafts from a mathematical/statistical perspective, specifically for a 12-team snake draft. I want to determine which draft position is “best” in terms of ...
- 169
3 votes
0 answers
227 views
Viability of using a CAS for "exact" physics simulations
I've been analyzing a type of periodic physics simulation that looks like this: By varying the angles of the two line segments, you can find configurations with different periods: I've used high-...
- 255
-1 votes
1 answer
73 views
Simulating the door-switching problem [duplicate]
I have come across this problem which was apparently very famous some years ago, in which a person is placed in front of 3 doors: one of them has a stack of gold behind it, and the other two have ...
- 241
0 votes
1 answer
52 views
Linear and angular velocity in moving frame of reference, for a sinusoidal curve
Context: I was trying to make a robot move on a sinusoidal path on the ground plane of a 3D simulation by giving the linear and angular velocity in the robot's reference frame (body frame, not global)....
- 115
1 vote
0 answers
54 views
Switching to numerical analysis/applied math [closed]
I am a 2nd year Computer science PhD student who is at a crossroads in regards of what should I do with my career. My research has been on accelerating astrophysical codes. I have generally enjoyed it ...
- 57
0 votes
1 answer
96 views
Modeling/Simulating Nonlinear Dynamics of Mass-Spring-Damper System
I'm currently stuck on a problem involving computer modeling the amplitude and phase response of a parametrically-pumped mass-spring-damper system (specifically representing a doubly clamped beam ...
4 votes
2 answers
277 views
Difference between theory and simulation of statistic of a complex hypothesis for a Gaussian variable sequence
I am puzzled by a question on the statistics complex hypothesis testing, namely, there is a difference between particular theoretical PDF of a statistic and the simulated one, and I have no idea why ...
- 197
0 votes
0 answers
49 views
What is the type of probability distribution describes 'half-life' of 2D elastic billiards leaving a sample of striated circles?
I am curious about the probability distribution for when half of the 'atoms' were to 'decay', which happens when at least half of the striated disks lose a billiard. I am not saying anything about how ...
- 49
2 votes
0 answers
71 views
Player must intercept moving object with steering constraints
I am working on a simulation where a player has to catch/intercept a moving object. I can explain my problem better with an example. Both the player and the object have a starting point in the $xy$-...
- 21
1 vote
1 answer
61 views
Simulating discrete determinantal point process
Suppose we have a Toeplitz matrix $K$ which is $N\times N$. I want to simulate the determinantal point process associated with this matrix. Let's just start with something simple, like $N=2$. So $$ K=\...
- 6,682
13 votes
3 answers
3k views
Say the Celtics have a $\frac13$ chance to win and the Mavs have a $\frac14$ chance. What is the chance neither team wins?
Full problem text: The odds of the Celtics winning the NBA championship in the $2026/2027$ season are $1:2$($\frac13$ chance to clarify). The odds of the Mavericks winning the NBA championship that ...
- 263
0 votes
0 answers
23 views
Selection of suitable stochastic process for supply chain simulation [closed]
Discrete Event Simulations (DES) for the comparison of supply chain replenishment algorithms apply monte-carlo experiments with a stochastic process $D_t$ representing daily demand. DES software ...
- 1
0 votes
0 answers
60 views
How can I simulate a bivariate discrete random variable using one uniform random variable?
How can I simulate a bivariate discrete random variable $(X,Y)$ if I only have access to realizations of a uniform distribution $U\sim \operatorname{Unif}(0,1)$? I know how to simulate a univariate ...
- 1,612
1 vote
0 answers
80 views
Simple dynamical system simulating a Turing machine?
Given some Turing machine $M$ computing, say, a total function (so it halts on all inputs), I want a simple and direct way of encoding this Turing machine into some dynamical system over some subset ...
- 619