6.1A Notes File - Northwest ISD Moodle
... A random variable takes numerical values that describe the outcomes of some chance process. The probability distribution of a random variable gives its possible values and their probabilities. There are two main types of random variables, corresponding to two types of probability distribution: discr ...
... A random variable takes numerical values that describe the outcomes of some chance process. The probability distribution of a random variable gives its possible values and their probabilities. There are two main types of random variables, corresponding to two types of probability distribution: discr ...
conditional probability
... Conditional Probability The probability that one event happens given that another event is already known to have happened is called a conditional probability. Suppose we know that event A has happened. Then the probability that event B happens given that event A has happened is denoted by P(B A). ...
... Conditional Probability The probability that one event happens given that another event is already known to have happened is called a conditional probability. Suppose we know that event A has happened. Then the probability that event B happens given that event A has happened is denoted by P(B A). ...
Converses to the Strong Law of Large Numbers
... In the special case that the {Xn } are independent random variables, the tail events have a simple structure which is described by Kolmogorov’s Zero-One Law: In this case if E is a tail event, then P (E) is either zero or one. The proof consists of showing that every tail event E is independent of ...
... In the special case that the {Xn } are independent random variables, the tail events have a simple structure which is described by Kolmogorov’s Zero-One Law: In this case if E is a tail event, then P (E) is either zero or one. The proof consists of showing that every tail event E is independent of ...
2.3. Random variables. Let (Ω, F, P) be a probability space and let (E
... the σ-algebras (σ(Xi ) : i ∈ I) are independent. For a sequence (Xn : n ∈ N) of real valued random variables, this is equivalent to the condition P(X1 ≤ x1 , . . . , Xn ≤ xn ) = P(X1 ≤ x1 ) . . . P(Xn ≤ xn ) ...
... the σ-algebras (σ(Xi ) : i ∈ I) are independent. For a sequence (Xn : n ∈ N) of real valued random variables, this is equivalent to the condition P(X1 ≤ x1 , . . . , Xn ≤ xn ) = P(X1 ≤ x1 ) . . . P(Xn ≤ xn ) ...
Word
... Note: The above definition of probability, the one that we are probably most used to, is actually the Classical Definition arrived through deductive (intuitive) reasoning. Also called a priori probabilities. For example: when one states that the probability of getting a head during the tossing of a ...
... Note: The above definition of probability, the one that we are probably most used to, is actually the Classical Definition arrived through deductive (intuitive) reasoning. Also called a priori probabilities. For example: when one states that the probability of getting a head during the tossing of a ...
File
... We never had to buy more than ___ boxes to get the full set of cards in 50 repetitions of our simulation. Our estimate of the probability that it takes 23 or more boxes to get a full set is roughly ___. ...
... We never had to buy more than ___ boxes to get the full set of cards in 50 repetitions of our simulation. Our estimate of the probability that it takes 23 or more boxes to get a full set is roughly ___. ...
Some Probability Theory and Computational models
... independent of the past, given the present state – Probability of following a path is the multiplication of probabilities of individual transitions ...
... independent of the past, given the present state – Probability of following a path is the multiplication of probabilities of individual transitions ...
Another version - Scott Aaronson
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
Another version - Scott Aaronson
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
What are the Eigenvalues of a Sum of Non
... – For us now, that’s classical sum – That’s just if both are nxn ...
... – For us now, that’s classical sum – That’s just if both are nxn ...
Quantum measurements and Landauer principle
... results of measurements. What information about our theory at we need to know to be able to work at low energy? Just a few numbers – coefficients of marginal operators, like 1/137. 14/27 ...
... results of measurements. What information about our theory at we need to know to be able to work at low energy? Just a few numbers – coefficients of marginal operators, like 1/137. 14/27 ...
