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Apr
21
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Feb
23
revised Independent exponential random joint distribution
added mathjax to make question more clear
Feb
23
comment Independent exponential random joint distribution
Please add some attempt to solve the problem and your own thoughts rather than just a homework question.
Feb
23
suggested approved edit on Independent exponential random joint distribution
Feb
21
accepted scores of individuals and evaluation
Jan
3
comment Proof that this set is convex set
You need to define your set properly for anyone to understand the question.
Jan
3
revised Proof that this set is convex set
mathjax improvement
Jan
3
suggested approved edit on Proof that this set is convex set
Jan
3
comment Eigenvectors of normal matrix
Thanks @pre-kidney
Jan
3
comment Eigenvectors of normal matrix
Please add some context or some attempt to solve this.
Dec
28
comment Why can triple integrals be used to represent the volume under a surface f(x,y) by setting f(x,y,z) = 1?
normally when taking the triple integral in rectangular coordinates, we have $$\int\int\int f(x,y,z)\text{d}x\text{d}y\text{d}z = \int\int\int f(x,y,z)\text{d}V\,,$$ where $\text{d}V$ is an infinitesimal volume. And thus, to compute the entire volume under the surface, we set $f(x,y,z)=1$.
Dec
24
comment A probability function is determined on a dense set- Where is density used in the following proof?
The fact that there is guaranteed to be an $x' \in D$ such that $x' > x$ is a use of the density of $D$ in $\mathbb{R}$.
Dec
24
comment A probability function is determined on a dense set- Where is density used in the following proof?
When it says "Given $\epsilon > 0$, there exists $x' \in D, x'>x$ such that $$F(x) + \epsilon \geq F_D(x')$$"
Dec
24
revised scores of individuals and evaluation
edited body
Dec
24
comment scores of individuals and evaluation
You're right, that's not what I looking for, let me edit that
Dec
24
comment scores of individuals and evaluation
Yes and $\max\{p_m \in \mathcal{T}\} = 9$ as well. But is this always true? - what if we take a larger terrain, say $\mathcal{T}'$ with $m \in \{1,2,...,2000\}$ with each agent $i$, $H_i = \{h_{i1}, h_{i2}, ..., h_{ik}\}$ for some $k \in \mathbb{N}$.
Dec
23
comment scores of individuals and evaluation
Using your example, this was not the case, though. @MickA The maximum of $\mathcal{T}_1$ was $9$, but $S_1 = 7$ and $S_2 = 8$. I'm pretty sure my definition of $S_i$ reflects this example, but please inform me if it does not. You said that $S_i$ would be different for each agent $i$, but now you say it wouldn't be different (the maximum of the point values on the terrain).
Dec
23
comment scores of individuals and evaluation
Done @MickA. What you have given as an example above for $S_i$ is correct and also I added $X_i^m$, although this is clear, right? $X_i^m$ is just the maximum value that can be attained with each starting point $m$ and heuristic set for an agent $i$, $H_i$.
Dec
23
revised scores of individuals and evaluation
added 38 characters in body
Dec
22
comment scores of individuals and evaluation
I have updated the question, by the way.