Maths assignment
complete assignment
Who independently developed a model for simply pricing risky assets?
Examples of groups: We now start to survey a wide range of examples of groups (labelled by (A), (B), (C), . . . ). Most of these come from number theory. In all cases, the group axioms should be checked. This is easy for almost all of the examples, an
What is an Ordinary Differential Equation (ODE)?
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
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
Who firstly discovered mathematical theory for random walks, that rediscovered later by Einstein?
Let (G; o) be a group. Then the identity of the group is unique and each element of the group has a unique inverse.In this proof, we will argue completely formally, including all the parentheses and all the occurrences of the group operation o. As we proce
I need it within 4 hours. Due time March 15, 2014. 3PM Pacific Time. (Los Angeles, CA)
Suppose that p and q are different primes and n = pq.
(i) Express p + q in terms of Ã˜(n) and n.
(ii) Express p - q in terms of p + q and n.
(iii) Expl
Measuring complexity: Many algorithms have an integer n, or two integers m and n, as input - e.g., addition, multiplication, exponentiation, factorisation and primality testing. When we want to describe or analyse the `easiness' or `hardness' of the a
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