An interesting property of an M/M/ 1 queue, which greatly simplifies combining these queues into a network, is the surprising fact that the output of an M/M/ queue with arrival rate is a Poisson process of rate This is part of Burke's theorem, which follows from reversibility A Markov chain has the property that P[future present, past] P[future present] Conditional on the present state, future states and past states are independent
Elements of Algorithmic analysis · Soundness is a solution returned by the algorithm guaranteed to be Completeness is the algorithm guaranteed to find a solution when there is Time complexity how long does it take to find a solution? Space complexity how much memory does it need to perform search? Sian willams, Spring o3 Characterizing Search algorithms
Histol · Kautz and selman.1992 Inspired by improvements in satisfiabity algorithms Big Idea Encode planning problem as a(very large) logical formula Initial-state all-possible-actions goal Find a satisfying assignment to action-time propositions, and we have a plan
The principal-agent problem describes a class of interactions between two parties to a contract, an agent and a principal. The legal origin of these terms suggests that the principal engages the agent to act on his(the principal s behalf. In economic applications, the agent is not necessarily an employe
The Problem of Induction Although James and Clifford disagree about the reasonableness of belief in a special class of propositions(when they constitute a genuine choice for us), they agree that in the majority of cases empirical investigation and the scientific pursuit of evidence is at least a, if not the proper way to proceed in forming beliefs. It
1. The\Wager\and the Practical Rationality Principle Practical Rationality Principle: The practically rational thing to do is the thing with the highest expected value(or utility \) Version A: Do the thing with higher expected value than all its competitors --In the case of a tie, neither action/belief is permitted Version B: Find the actions with highest expected value and perform whichever of them you like --In the case of a tie, Theism is practically rational. Just like choosing pie over cake 2. Evidentialism(Clifford)
NUMERICAL SOLUTION GIEN A COMPLEX SET of OYNAMICS (t)=F(x) WHERE F() COULD BE A NONLINEAR FUNCTION IT CAN BE IMPOSS IBLE To ACTVALLY SOLVE FoR ( ExACTLY. OEVELOP A NUMERICAL SOLUTION. CANNED CoDES HELP US THIS TN MATLAB BUT LET US CONSDER THE BASiCS