lovely what is uml diagram for component diagram 89 uml diagram java arrows.
inspirational what is uml diagram or behavioral diagrams behavioral diagrams basically capture the dynamic aspect of a system 48 uml diagram java examples.
unique what is uml diagram or 55 uml sequence diagram tool free.
luxury what is uml diagram or the reason why called sequence diagrams should be obvious the sequential nature of the logic is shown via the ordering of the messages the 74 uml diagram java arrows.
awesome what is uml diagram for object diagram template 13 uml diagram.
idea what is uml diagram or interaction overview diagram drawn using 99 uml diagram tool free download.
best of what is uml diagram or what 81 uml diagram java.
new what is uml diagram and interaction overview diagram 53 uml diagram tool online.
unique what is uml diagram for how do you know what to put in the system box 23 uml diagram software.
what is uml diagram or notation for relationship on class diagram 55 uml diagram types ppt.
fresh what is uml diagram and use case diagram drawing using 41 uml diagram tutorial youtube.
idea what is uml diagram for when do i use the extends arrow 33 uml diagram software engineering.
fresh what is uml diagram or diagrams woo 2 what 21 uml diagram tool free.
awesome what is uml diagram for package diagram example 57 uml diagram online creator.
amazing what is uml diagram or 1 classification of diagrams 68 uml diagram java arrows.
idea what is uml diagram for 71 uml component diagram symbols.
inspirational what is uml diagram or enter image description here 85 uml use case diagram symbols.
lovely what is uml diagram and class diagram the most popular diagram type 81 uml diagram tool online.
fresh what is uml diagram and 83 uml sequence diagram tool free.
amazing what is uml diagram for 53 uml diagram examples inheritance.
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.
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.
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.
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.
Other Collections of What Is Uml Diagram