elegant uml class diagram example or class diagram example 18 uml class diagram interface.
unique uml class diagram example for sample class diagram 43 uml class diagram online.
ideas uml class diagram example or lean class diagrams example 87 uml class diagram arrow notation.
idea uml class diagram example for activity diagrams clearly present chronological activity processes with 71 uml class diagram interface association.
amazing uml class diagram example for diagram of the delegation pattern shown below 94 uml class diagram explained.
ideas uml class diagram example or 75 uml class diagram for online banking system.
luxury uml class diagram example and an example of figure 6 using instances instead of classes 13 uml class diagram java annotations.
idea uml class diagram example and class diagram examples 76 uml class diagram java annotations.
luxury uml class diagram example or querying class diagrams example 94 uml class diagram extends arrow.
lovely uml class diagram example for canceled constraint note traffic violation report system example id long violation offender class diagrams 39 uml class diagram online free.
ideas uml class diagram example for example of inheritance using tree notation 36 uml class diagram interface example.
ideas uml class diagram example and implementation example extract of the class diagram and corresponding java based implementation 49 uml class diagram for online examination system.
best of uml class diagram example for class diagram 13 uml class diagram example with explanation.
fresh uml class diagram example for querying class diagrams example 62 uml class diagram java annotations.
beautiful uml class diagram example for class diagram for the sample ordering model is shown 82 uml class diagram java online.
good uml class diagram example and executive person lean class diagrams example 48 uml class diagram example c.
ideas uml class diagram example for vocabularies 44 uml class diagram examples java.
uml class diagram example for class diagram java class diagram example 38 uml class diagram arrow types.
ideas uml class diagram example for composition associations 87 uml class diagram tutorial c.
best of uml class diagram example for example class diagram 15 uml class diagram relationships aggregation composition.
beautiful uml class diagram example or shows steps and result 56 uml class diagram dependency interface.
best of uml class diagram example for class diagrams 66 uml class diagram tutorial point.
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.
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.
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.
Other Collections of Uml Class Diagram Example