Formal logic
It's a problem set, they are attached. it's related to Sider's book which is "Logic to philosophy" I attached the book too. I need it on feb22 but feb23 still work
Prove the law of iterated expectations for continuous random variables.
2. Prove that the bounds in Chebyshev's theorem cannot be improved upon. I.e., provide a distribution that satisfies the bounds exactly for k ≥1, show that it satisfies the bounds exactly, and draw its PDF. T
I. Boolean Algebra
Define an abstract Boolean Algebra, B, as follows:
The three operations are:
+ ( x + y addition)
How can we say that the pair (G, o) is a group. Explain the properties which proof it.
Let G be a group.
(i) G satises the right and left cancellation laws; that is, if a; b; x ≡ G, then ax = bx and xa = xb each imply that a = b.
(ii) If g ≡ G, then (g^{-1})
Prime number theorem: A big deal is known about the distribution of prime numbers and of the prime factors of a typical number. Most of the mathematics, although, is deep: while the results are often not too hard to state, the proofs are often diffic
Big-O notation: If f(n) and g(n) are functions of a natural number n, we write
f(n) is O(g(n))
and we say f is big-O of g if there is a constant C (independent of n) such that f
Consider the following system of linear equations.
(a) Write out t
complete assignment with clear solution and explanation
A leather wholesaler supplies leather to shoe companies. The manufacturing quantity requirements of leather differ depending upon the amount of leather ordered by the shoe companies to him. Due to the volatility in orders, he is unable to precisely predict what will b
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