[50] Homework 4. Proof Techniques
Each problem is worth 10 points
[10] Show that
3
3 is irrational.
[10] Prove that for positive integer n, n3 + 2n is divisible by 3.
[10] Using mathematical induction prove that
n
X
i=1
i2i = 2n+1 (n 1) + 2.
[10] Define t
[30] Homework 3. Programming Assignment: Numerical Evaluation of Certain Sums
The goal of this assignment is to find good numerical approximations to certain sums. We
need first a few definitions. For nonnegative integers 0 k n define
!
n
n!
=
k
k!(n k)!
[60] Homework 2. The Moment Methods
Due by: March 12 by the end of the class.
[10] Let X1 , X2 , . . . , Xn be i.i.d. random variables distributed as the standard normal distribution N (0, 1), that is, the density f (x) of X1 is
1
2
f (x) = ex /2
2
for <
[40] Homework 8: Basic Counting
[10] How many ordered pairs of integers (a, b) are needed to guarantee that there are two
ordered pairs (a1 , b1 ) and (a2 , b2 ) such that
a1 = a2 mod 5,
b1 = b2 mod 5.
[10] How many ways are there to seat 20 people around
[30] Homework 6. Programming Project
The goal of this assignment is to understand recursive programs and analyze them.
Run the following recursion (written in a pseudo-code) for n = 33 , 39 , 327 and 381 .
int function third (int n)
if (n 3)
then return(1
[40] Homework 1. Algorithms and Probability
Due by: February 12 by the end of the class.
[10] In this problem assume that a binary trie is built from n strings. Using the external
profile Bnk (number of external nodes at level k) and the internal profile
[40] Homework 5: Big O, .
[10] Select the best big Oh notation for each expression. Justify by showing the constants
c and n0 . Note that f (n) = O(g(n) if there are constants c > 0 and n0 > 0 so that
for all n n0 we have |f (n)| c g(n).
1. 100n + log n.
[40] Homework 7: Basic Number Theory
[10] Compute 61531 mod 713.
[10] Prove that 937 is an inverse of 13 modulo 2436.
[10] Solve 13x = 5 mod 2436.
[15] Encrypt the message CRYPTO using the RSA system with n = 43 59 and e = 13,
translating each letter into
9
Descriptive Modeling
9.1
Introduction
In earlier chapters we explained what is meant, in the context of data mining,
by the terms model and pattern. A model is a high-level description, summa
rizing a large collection of data and describing its importan
4
Data Analysis and Uncertainty
4.1
Introduction
In this chapter, we focus on uncertainty and how to cope with it. Not only
is the process of mapping from the real world to our databases seldom per
fect, but the domain of the mapping-the real world itself
10
Predictive Modeling for Classification
10.1
A Brief Overview of Predictive Modeling
Descriptive models, as described in chapter 9, simply summarize data in con
venient ways or in ways that we hope will lead to increased understanding
of the way things
8
Search and Optimization Methods
8.1
Introduction
In chapter 6 we saw that there are broad classes of model structures or repre
sentations that can be used to represent knowledge in structured form. Sub
sequently, in chapter 7 we discussed the principles
11
Predictive Modeling for Regression
11.1
Introduction
In chapter 6 we discussed the distinction between predictive and descriptive
models. In chapter 10 we described in detail predictive models in which the
variable to be predicted (the response variabl
3
Visualizing and Exploring Data
3.1
Introduction
This chapter explores visual methods for finding structures in data. Visual
methods have a special place in data exploration because of the power of the
human eye/brain to detect structures-the product of
2
Measurement and Data
2.1
Introduction
Our aim is to discover relationships that exist in the "real world," where this
may be the physical world, the business world, the scientific world, or some
other conceptual domain. However, in seeking such relation
7
Score Functions for Data Mining
Algorithms
7.1
Introduction
In chapter 6 we focused on different representations and structures that are
available to us for fitting models and patterns to data. Now we are ready to
consider how we will match these struct
1
Introduction
1.1
Introduction to Data Mining
Progress in digital data acquisition and storage technology has resulted in the
growth of huge databases. This has occurred in all areas of human endeavor,
from the mundane (such as supermarket transaction da
5
A Systematic Overview of Data Mining
Algorithms
5.1
Introduction
This chapter will examine what we mean in a general sense by a data mining
algorithm as well as what components make up such algorithms. A working
definition is as follows:
A data mining a
CNIT 240. Individual Lab #1. Basic Switch Configuration (10pt)
Figure 1. Network Diagram
Objective
Learn basic switch configuration of a 2900 series switch using Packet Tracer.
General Configuration Tips
Each command mode restricts the set of available co
Name:
Question 1. a. Convert the number 123.57x1015 to the format SEEMMMM with the
exponent stored excess-49 (not excess-50). The implied decimal point is to the right
of the first mantissa digit.
0681235
b. What is the smallest number you can use with th
Week 10 Office 2016 PowerPoint Practical
Remember, you have just 2 attempts for the exam. If you get a low grade for your first attempt, check
the summary report to see what went wrong and fix it. You will find the summary report when you view
your submis
Week 3 Microsoft Office 2016 Word Chapter 3
Make sure you read this document before working on the Word Chapter 3 assignment.
This assignment has 2 parts editing a table and mail merge. The mail merge part is just the last 5
instructions. Before you start
Week 7 Office 2016 Excel Chapter 3
Make sure you read this document before working on the Excel Chapter 2 assignment.
Remember, you can attempt this assignment as many times as you want, until you are satisfied with
your grade. If you get a low grade for
Week 4 Office 2016 Word Chapter 4
Make sure you read this document before working on the Word Chapter 4 assignment.
This assignment needs a lot time for formatting, so make sure you have read the chapter thoroughly. I
suggest completing the training befor
LastName
Habersha
m
FirstNam
e
Street_Address
City
State
Zip
Daniel
1099 Hwy. 31 S.
Springfield
MO
65757
Slater
Mary
1234 River Edge Lane
Springfield
MO
65757
Dugan
Ashley
14301 Sommerville Court
Stafford
MO
65417
Madison
Mathew
9900 Jefferson Davis Highw
Week 5 Office 2016 Excel Chapter 1
Make sure you read this document before working on the Excel Chapter 1 assignment.
Remember, you can attempt this assignment as many times as you want, until you are satisfied with
your grade. If you get a low grade for
Office 2016 myitlab:grader Instructions
PPT Project
EX16_PP_CH02_GRADER_CAP_HW - STEM 1.1
Project Description:
You are developing a report for your sociology class about the roles of women in the science,
technology, engineering, and mathematics (STEM) fi
Week 6 Office 2016 Excel 3
Make sure you read this document before working on the Excel Chapter 3 assignment.
Remember, you can attempt this assignment as many times as you want, until you are satisfied with
your grade. If you get a low grade for your fir
Office 2016 myitlab:grader Instructions
Exploring - Access Chapter 2: Homework Project 1
EX16_AC_CH02_GRADER_CAP_HW - Morris Arboretum
Project Description:
The Morris Arboretum tracks donors in Excel. They also use Excel to store a list of plants in stock
Week 6 Office 2016 Excel Chapter 2
Make sure you read this document before working on the Excel Chapter 2 assignment.
Remember, you can attempt this assignment as many times as you want, until you are satisfied with
your grade. If you get a low grade for