Venn Diagram Report
1) Introduction
Venn diagrams are useful as graphics organization tool when we compare
two different things. A guy named John invented Venn Diagram. So Venn diagram
represents in a simple way that certain things connect. Also Venn diagrams can
be used to illustrate set relation and logical relationship.
2) What is Set
Set theory is considered as a part of modern mathematics to assist in developing
a useful area of research itself. Set theory should be started on the work done by
Georg Cantor in the late 19th century, especially in certain types of infinite series
is called Fourier series. From this viewpoint, most mathematicians accept set
theory as a basis for mathematics. Understanding the organization and
membership in a set can be used as the most primitive idea of where all the
objects and ideas of mathematics can be defined.
Set is a collection of individual elements in the domain. Universal set that
contains every element in the. Zero set contains no elements.
•If it is set in a domain, must be part of the universal set, denoted as.
•If it consists of some but not all of the elements, then called the appropriate
subset, denoted as.
Set theory begins with the fundamental binary relation between an object and
set. For example, if A is a set and x is an element of A, we write x € A. A binary
relation betweentwo sets of relationships can also be a part also called inclusions
Set. This occurs whenall members of the set A is also a member of the set B, then
A is a subset of B, alsodenoted by A B. For example, {1,2} is a subset of {1,2,3} but
{1.4} is not. Therefore,directly from the definition is clear that the set is a subset
of itself.
3) What is Venn Diagram?
Venn diagram constructed with a collection of simple closed curves drawn in the
plane.According to Lewis (1918), the principle "of this diagram is that the class
[or set] represented by the area associated with each other like that all the
possible logical relations of these classes can be demonstrated in the same
diagram. That is, the diagram initially leaves room for any possible relation of
classes, and actual or given relation, then it can be determined by showing that
some particular region is null or not-null ".
Venn diagram of overlapping circles are usually composed. The inside circle is
symbolic element of the set, while the exterior is an element that is not a
member of the set. For example, in the Venn diagram of two sets, one can
represent the circle of all the wood, while another circle may represent the set of
all tables. Areas of overlap or intersection will then represent the set of all the
wooden table. Another form of the circle can be used as shown below with their
own Venn diagrams in set higher. Venn diagrams usually do not contain
information about relative or absolute size (cardinality) set, ie, they are a
schematic diagram.
Venn diagrams are similar to Euler diagrams. However, the Venn diagram for n
component sets must contain all hypothetically possible zones corresponding 2n
with some combination of the inclusion or exclusion of each set of
components. Euler diagrams contain only zone may actually be in a certain
context. In a Venn diagram, shaded zones represent the empty zone, whereas the
Euler diagram the corresponding zone will disappear from the diagram. For
example, if a set is a cheese and other dairy products, Venn diagram contains a
zone for cheeses that are not dairy products. Assuming that in this context means
some kind of cheese milk products, cheese Euler diagram has a zone entirely
contained within the milk product zone to zone-no non-dairy cheese. This means
that the number of contours increase, Euler diagrams are typically less visually
complex than the equivalent Venn diagram, especially if the number of small
non-empty intersection.
4) How to apply it in your daily life
Nowadays student in their math class has used Venn diagrams. Also in
our society and in many subjects, it is used to describe and compare the
characteristics of items. For example when we make a conclusion of survey, we
may use Venn Diagram. Also by doing surveys, we can see point of sameness and
differences between two things. We can organize the data in a way that will be
easier and effective for people to see and look at.
5) Conclusion
So from this report, we could learn many things about Venn diagram and a set.
For example, the relationship between set and Venn Diagram. Also how can we
apply them to our daily lives. And the main thing that we could learn is what are
we going to study in this week and we may prepare for our test.
Bibliography:
http://www.purplemath.com/modules/venndiag.htm. Accessed 07 May 2012
http://www.purplemath.com/modules/venndiag.htm
http://www.scholastic.com/teachers/lesson-plan/graphic-organizervenn-diagram
www.unisg.ch/Master-Programs_Europe