All Questions
Tagged with geometric-probability analytic-geometry
9
questions
1
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50
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Find the best ratio between grid size and the square size
Let's say I have a bunch of squares of side x and the grid of square sectors, each of side y.
I am placing the squares randomly in this grid - the sides of squares are parallel to sides of the grid, ...
- 61
0
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0
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91
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Average Minimum Distance between Curve and Circle
I aim to formalize the average minimum distance between any point on a circle with a radius $r$ and an infinitely long curve.
I know the location of the curve and circle, but there is no formula for ...
1
vote
1
answer
173
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Find CDF of minimum dependent identical distributed random variables
I'm a post-graduate researcher in Telecommunications and am currently studying Geogeomatric stochastic's applications.
In the process of building systems, I faced the challenge of finding the minimum ...
- 73
2
votes
2
answers
78
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Geometric Probability problem in 3 unknowns
I've been solving different geometrical probability questions, and there is one, where I'm somewhat stuck.
Suppose we have to choose $3$ numbers, $a,b$ and $c$ such that $a,b,c \in [0,1]$. The numbers ...
1
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0
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21
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PDF of a geometrical distance
System model
Suppose B is a randomly scattered point in the segment [OM] as shown in Fig. System Model. The PDF of x (i.e., the distance between O and B) is known as $f_{X}$, and all the other points ...
3
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3
answers
849
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Choosing 2 points on a line
Two points are selected randomly on a line of length $L$ so as to be on opposite sides of the midpoint of the line. Find the probability that the distance between them is greater than $L/3$.
I was ...
- 1,106
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0
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98
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Find probability that a line l may be tangent to circle $x^2+y^2=n^2\left(1-(1-\frac{1}{\sqrt n})^2\right)$
Consider the set $A_{n}$ of points $(x,y)$ where $0\leq x\leq n,0\leq y\leq n$ where $x,y,n$ are integers. Let $S_{n}$ be the set of all lines passing through at least two distinct points of $A_{n}$. ...
- 9,599
1
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185
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How does point A calculate position of a moving point B when only "direction" of point B is known?
I am currently designing a game. I have a "runner" and a "catcher" that sort of play tag with each other. The catcher always know in which direction the runner is, but he does not know where exactly ...
- 309
9
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How many squares can be made from points on $ z(t) = e^{2\pi i\, t} + \frac{1}{\sqrt{3}} e^{2\pi i\, 3t} $?
Inspire by the Toeplitz Square Problem, how many squares can be drawn on the curve:
$$ z(t) = e^{2\pi i\, t} + \frac{1}{\sqrt{3}} e^{2\pi i\, 3t} $$
wth $t \in [0, 2\pi]$. Here is an image:
We're up ...
- 24.5k