# Uml Diagram Examples

best of uml diagram examples and composition associations 88 uml class diagram example ppt.

inspirational uml diagram examples for use case package diagrams 85 uml class diagram example tutorial.

elegant uml diagram examples or activity diagram example for electronic prescriptions tool for activity diagram diagram and use case 82 uml diagram basics java.

good uml diagram examples and sequence diagram 87 uml class diagram example for online shopping.

luxury uml diagram examples for component diagram 24 uml diagrams examples pdf free.

lovely uml diagram examples and example exam questions of diagrams related post 67 uml sequence diagram example ppt.

ideas uml diagram examples or 32 uml diagrams examples pdf download.

new uml diagram examples and an example package element that shows its members inside the packages rectangle boundaries 28 uml diagram basics pdf.

good uml diagram examples and timing diagram drawn using 35 uml diagram to java code examples pdf.

luxury uml diagram examples for object diagram template 29 sequence diagram in uml example pdf.

awesome uml diagram examples or class diagram the most popular diagram type 38 uml diagram examples pdf.

luxury uml diagram examples for package diagram example 73 uml state diagram examples pdf.

uml diagram examples and example of inheritance using tree notation 23 uml class diagram example ppt.

ideas uml diagram examples and 77 uml class diagram example for online shopping.

idea uml diagram examples or and enterprise architect net state diagram example diagram 28 use case diagram example for library management system.

good uml diagram examples for 95 uml activity diagram examples pdf.

uml diagram examples or class diagram for online shopping management system elegant 9 best diagrams for online shopping system 35 uml diagram coding java.

unique uml diagram examples for an example of figure 6 using instances instead of classes 61 uml state diagram examples pdf.

unique uml diagram examples for diagrams for hospital management system project what is a class diagram examples air 41 uml activity diagram java example.

Euler diagrams are similar to Venn diagrams, in that both compare distinct sets using logical connections. Where they differ is that a Venn diagram is bound to show every possible intersection between sets, whether objects fall into that class or not; a Euler diagram only shows actually possible intersections within the given context. Sets can exist entirely within another, termed as a subset, or as a separate circle on the page without any connections - this is known as a disjoint. Furthering the example outlined previously, if a new set was introduced - birds - this would be shown as a circle entirely within the confines of the mammals set (but not overlapping sea life). A fourth set of trees would be a disjoint - a circle without any connections or intersections.

A Venn diagram, sometimes referred to as a set diagram, is a diagramming style used to show all the possible logical relations between a finite amount of sets. In mathematical terms, a set is a collection of distinct objects gathered together into a group, which can then itself be termed as a single object. Venn diagrams represent these objects on a page as circles or ellipses, and their placement in relation to each other describes the relationships between them. Commonly a Venn diagram will compare two sets with each other. In such a case, two circles will be used to represent the two sets, and they are placed on the page in such a way as that there is an overlap between them. This overlap, known as the intersection, represents the connection between sets - if for example the sets are mammals and sea life, then the intersection will be marine mammals, e.g. dolphins or whales. Each set is taken to contain every instance possible of its class; everything outside the union of sets (union is the term for the combined scope of all sets and intersections) is implicitly not any of those things - not a mammal, does not live underwater, etc.

Usage for Venn diagrams has evolved somewhat since their inception. Both Euler and Venn diagrams were used to logically and visually frame a philosophical concept, taking phrases such as some of x is y, all of y is z and condensing that information into a diagram that can be summarized at a glance. They are used in, and indeed were formed as an extension of, set theory - a branch of mathematical logic that can describe objects relations through algebraic equation. Now the Venn diagram is so ubiquitous and well ingrained a concept that you can see its use far outside mathematical confines. The form is so recognizable that it can shown through mediums such as advertising or news broadcast and the meaning will immediately be understood. They are used extensively in teaching environments - their generic functionality can apply to any subject and focus on my facet of it. Whether creating a business presentation, collating marketing data, or just visualizing a strategic concept, the Venn diagram is a quick, functional, and effective way of exploring logical relationships within a context.

Logician John Venn developed the Venn diagram in complement to Eulers concept. His diagram rules were more rigid than Eulers - each set must show its connection with all other sets within the union, even if no objects fall into this category. This is why Venn diagrams often only contain 2 or 3 sets, any more and the diagram can lose its symmetry and become overly complex. Venn made allowances for this by trading circles for ellipses and arcs, ensuring all connections are accounted for whilst maintaining the aesthetic of the diagram.

The structure of this humble diagram was formally developed by the mathematician John Venn, but its roots go back as far as the 13th Century, and includes many stages of evolution dictated by a number of noted logicians and philosophers. The earliest indications of similar diagram theory came from the writer Ramon Llull, whos initial work would later inspire the German polymath Leibnez. Leibnez was exploring early ideas regarding computational sciences and diagrammatic reasoning, using a style of diagram that would eventually be formalized by another famous mathematician. This was Leonhard Euler, the creator of the Euler diagram.