Swift 1
Jane Swift
Professor Roloff Welch
English 103
17 November 2016
Advertisements - The Negative Effects on Society
Over the course of human history, there has been thousands of years worth of businesses
that have run in each and every culture. The Eg

traversal? 12. In which order are the
vertices of the ordered rooted tree in
Exercise 9 visited using an inorder
traversal? 13. In which order are the
vertices of the ordered rooted tree in
Exercise 7 visited using a postorder
traversal? 14. In which orde

procedure of adding new vertices, and
corresponding edges, to the tree
adjacent to the current vertex being
processed as long as a simple circuit is
not produced. l m g j k e e b d f i e b d f i
a c h g j k e b d f i a c h FIGURE 10
Breadth-First Search o

cofounders of the famous Warsaw
School of Logic. He published his
famous text, Elements of Mathematical
Logic, in 1928. With his influence,
mathematical logic was made a
required course for mathematics and
science undergraduates in Poland. His
lectures we

more symbol than the number of
operators. 32. Give a definition of wellformed formulae in postfix notation
over a set of symbols and a set of
binary operators. 33. Give six examples
of well-formed formulae with three or
more operators in postfix notation

because it is a tree that contains every
vertex of G. The sequence of edge
removals used to produce the spanning
tree is illustrated in Figure 3. a bcd e f g
Edge removed: cfw_a, e (a) a bcd e f g cfw_e, f
(b) a b c d e f g cfw_c, g (c) FIGURE 3
Producing

Trees A wide variety of problems are
solved by finding a spanning tree in a
weighted graph such that the sum of
the weights of the edges in the tree is a
minimum. DEFINITION 1 A minimum
spanning tree in a connected weighted
graph is a spanning tree that h

and postfix expressions are
unambiguous and because they can be
evaluated easily without scanning back
and forth, they are used extensively in
computer science. Such expressions
are especially useful in the
construction of compilers. JAN
LUKASIEWICZ (1878

connected components of a graph, and
it can be used to find the cut vertices of
a connected graph. As we will see,
depth-first search is the basis of
backtracking techniques used to
search for solutions of computationally
difficult problems. (See [GrYe05]

network. To make the transmission of
data to multiple receiving computers
more efficient, IP multicasting is used.
With IP multicasting, a computer sends
a single copy of data over the network,
and as data reaches intermediate
routers, the data are forwar

look for new links, and so on. (Because
of practical limitations, Web spiders
have limits to the depth they search in
depth-first search.) Using breadth-first
search, an initial Web page is selected
and a link on this page is followed to a
second Web page

extensively used in electronic
calculators in the 1970s and 1980s.
EXAMPLE 8 What is the postfix form of
the expression (x + y) 2) + (x
4)/3)? Solution: The postfix form of the
expression is obtained by carrying out
a postorder traversal of the binary tr

other types of expressions, such as
those representing compound
propositions and combinations of sets.
In these examples unary operators,
such as the negation of a proposition,
occur. To represent such operators and
their operands, a vertex representing
t

graph, and it can also be used to find
the strongly connected components of
a directed graph. We conclude this
section with an application of depthfirst search and breadth-first search to
search engines on the Web. EXAMPLE
10 Web Spiders To index websites

Jane Swift
Professor Roloff Welch
English 103
11 November 2016
Annotated Bibliography
1. Conceptual Implicit Memory in Advertising Research
In this article written by Temple Northup and Neil Mulligan, is a study and analysis including implicit memory, adv

Jane Swift
Matthew Vincent
Art 251
15 December 2016
Final Exam Essay - Art 251
For the analysis of two ancient works of art I will be writing about, I will be informing
you about the Archbasilica of St. John Lateran in Rome, Italy and the Parthenon in Ath

Page 1
Synopsis of The Mycenaean Civilization
Mycenae was a city that was formed near the end of the Bronze Age, and was at its peak
between the 14th and 13th centuries. Modern day Mycenae is located in the Argolid plain of
Peloponnese, Greece. After arch

1
Matthew Vincent
Art History 252
3 March 2017
Sistine Chapel Synopsis
Located in the Apostolic Palace in the Vatican City in Rome, is the Sistine Chapel. In addition to the location, being the mecca for Roman Catholics, one of the largest reasons for vis

Jane Swift
Professor Roloff Welch
English 103
17 November 2016
Week 13 Research Paper Outline
I.
Introduction
a. Introduce the reader to some facts about how many people advertisements reach worldwide to start off with how this automatically gives it a hu

Sk1-tree. 19. Draw an Sk-tree for k =
0, 1, 2, 3, 4. 20. Show that an Sk-tree
has 2k vertices and a unique vertex at
level k. This vertex at level k is called
the handle. 21. Suppose that T is an
Sk-tree with handle v. Show that T can
be obtained from dis

an edge only when it is directed away
from the vertex that is being visited
and to a vertex not yet added. If at a
stage of either algorithm we find that
no edge exists starting at a vertex
already added to one not yet added, the
next vertex added by the

algorithm (and sometimes as the PrimJarnk algorithm). Begin by choosing
any edge with smallest weight, putting
it into the spanning tree. Successively
add to the tree edges of minimum
weight that are incident to a vertex
already in the tree, never forming

network algorithms to construct a
spanning tree in the graph that has the
multicast source, the routers, and the
subnetworks containing receiving
computers as vertices, with edges
representing the links between
computers and/or routers. The root of
this s

g d ij e h k f c FIGURE 6 The Graph G. g h
k f j (a) f g h k f j i (b) (c) g h k f j i (d) e c
d a g h k f j i (e) e c d b a FIGURE 7
Depth-First Search of G. The reader
should note the recursive nature of this
procedure. Also, note that if the
vertices i

because when two vertices are
connected by a path containing the
removed edge, they are connected by a
path not containing this edge. We can
construct such a path by inserting into
the original path, at the point where
the removed edge once was, the simpl

to construct an algorithm for
determining whether a directed graph
contains a circuit. 11.5 Minimum
Spanning Trees Introduction A
company plans to build a
communications network connecting
its five computer centers. Any pair of
these centers can be linked

can be used for d, backtrack one more
level. Then change the color of c to
green. We obtain a coloring of the
graph by then assigning red to d and
green to e. EXAMPLE 7 The n-Queens
Problem The n-queens problem asks
how n queens can be placed on an n n
ch

build the path f , d, e, c, a. Then
backtrack to c and form the path c, b.
This produces the spanning tree.
The edges selected by depth-first
search of a graph are called tree edges.
All other edges of the graph must
connect a vertex to an ancestor or
de

vertices in the tree have been added.
The procedure ends because there are
only a finite number of edges in the
graph. A spanning tree is produced
because we have produced a tree
containing every vertex of the graph.
An example of breadth-first search is