numerical solution of PDE
this assignment contains two parts theoretical and coding the code has to be a new. old code and modified code will appear in the university website .
Explain a rigorous theory for Brownian motion developed by Wiener Norbert.
Explain the work and model proposed by Richardson.
For queries Q_{1} and Q_{2}, we say Q_{1} is containedin Q_{2}, denoted Q_{1} C Q_{2}, iff Q_{1}(D) C Q_{2}
Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is apoint and a (sraight) line in the 2-dimensional space, respectively, while On(a,b) encodes that a is a point, b is a line, and o lies on b.
Where would we be without stochastic or Ito^ calculus?
I. Boolean Algebra
Define an abstract Boolean Algebra, B, as follows:
The three operations are:
+ ( x + y addition)
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
II. Prove that Set Theory is a Model of a Boolean Algebra
The three Boolean operations of Set Theory are the three set operations of union (U), intersection (upside down U), and complement ~. Addition is set
The ABC Company, a merchandising firm, has budgeted its action for December according to the following information:
• Sales at $560,000, all for cash.
• The invoice cost for goods purc
A public key for RSA is published as n = 17947 and a = 3.
(i) Use Fermat’s method to factor n.
(ii) Check that this defines a valid system and find the private key X.
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