MTH202 Asignment # 4 Solution (Spring 2012)

Assignment 4 Of MTH202 (Spring 2012)

Question 1 Mark: 5

There are 8 men and 10 women members of a club. How many committees of seven persons can be formed, having 4 women?

Answer:

C(10,4).C(8,3)=11760

Question 2 Marks: 5

Compute ëxû and éxù for x = –3.01

Answer:

ë-3.01û=-4

é-3.01ù=-3

Question 3 Marks: 5

(a) Determine whether the given graph has a Hamilton circuit? If it does, find such a circuit, if it does not , given an argument to show why no such circuit exists. (Marks=2)

Answer:

Yes this graph has Hamilton circuit and the circuit is abcdea

(b) Give the degree of each vertex in the figure (given below) (Marks=3)

Answer:

Deg(A)=1,deg (B)=3,deg(C)=3,deg(D)=1

CS607 GDB Solution Spring July 2012

SOLUTION::-
Machine learning has been central to AI research from the beginning. Unsupervised learning is the ability to find patterns in a stream of input. Supervised learning includes both classification and numerical regression. Classification is used to determine what category something belongs in, after seeing a number of examples of things from several categories. Regression is the attempt to produce a function that describes the relationship between inputs and outputs and predicts how the outputs should change as the inputs change. In reinforcement learning the agent is rewarded for good responses and punished for bad ones. These can be analyzed in terms of decision theory, using concepts like utility. The mathematical analysis of machine learning algorithms and their performance is a branch of theoretical computer science known as computational learning theory