Recent content by rmas
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Graduate Joint probability for an infinite number of random variables,
Hi :smile: Thanks a lot ! Let me make some assumptions about the existing dependency among the variables. Let's say that there are k dependent and n-k independent variables. I expressed the relation of dependence through the function p (if we think about it graphically). P(X_1...- rmas
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Joint probability for an infinite number of random variables,
Thank you for your reply. Using the product rule ? For k=2, P(X_1, X_2)=P(X_2|X_1) \times P(X1) For k=3, P(X_1, X_2, X_3)=P(X_3|X_1, X_2) \times P(X_2|X_1) \times P(X_1) \vdots For k=n, P(X_1,... X_n)=P(X_n|X_1,... X_{n-1}) \times ... \times P(X_2|X_1)P(X_1)- rmas
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Joint probability for an infinite number of random variables,
Hi, I have the following question : How do we estimate the joint probability Pr(X_1, ... X_n) when n \rightarrow \infty ? Thanks a lot.- rmas
- Thread
- Infinite Joint Probability Random Random variables Variables
- Replies: 5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Trouble solving a differential equation
Thank you very much jackmell, that is very helpful. The partial derivatives vanish, I suppose it means that f is constant ?- rmas
- Post #4
- Forum: Differential Equations
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Graduate Trouble solving a differential equation
Hi, How can I solve this equation (finding f(x,y)) ? \left (\frac{\partial f}{\partial x} \right )^2+ \left( \frac{\partial f}{\partial y} \right )^2=0 Thanks a lot.- rmas
- Thread
- Differential Differential equation
- Replies: 5
- Forum: Differential Equations
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Graduate How Can Group Theory Describe Human Social Interactions?
Hi, I have a question related to Group Theory and its interpretation from a social point of view. if we suppose, that a group of Humans can be considered as an algebraic structure : a group (G,◦) with a set of elements and a set of axioms like closure, associativity, identity and...- rmas
- Thread
- Group Group theory Groups Theory
- Replies: 2
- Forum: Linear and Abstract Algebra