amazing how to make uml diagram or the actors in my diagram have interactions how do i represent them 32 uml diagram online editor free.
awesome how to make uml diagram and package diagram example 22 uml diagram tool mac.
ideas how to make uml diagram for example network diagram 63 uml diagram tool ubuntu.
luxury how to make uml diagram or timing diagram drawn using 25 uml diagram tool online.
how to make uml diagram or use case diagram version image 1 not able to add figures yet 53 uml diagram examples ppt.
how to make uml diagram or image title 63 uml class diagram tool free.
amazing how to make uml diagram or diagram 44 uml diagram typescript.
amazing how to make uml diagram or inheritance indicated by a solid line with a closed unfilled arrowhead pointing at the super 72 uml diagram symbols pdf.
inspirational how to make uml diagram and when do i use the extends arrow 58 uml activity diagram symbols.
beautiful how to make uml diagram and use case diagram drawing using 87 uml diagram symbols meanings.
amazing how to make uml diagram or component diagram 95 uml diagram tool.
idea how to make uml diagram or state machine diagram 99 uml diagrams examples for library management system.
beautiful how to make uml diagram and interaction overview diagram drawn using 52 uml diagram java online.
lovely how to make uml diagram and how to draw an activity diagram in 2 how 66 uml diagram arrow types.
elegant how to make uml diagram for 65 uml activity diagram symbols.
awesome how to make uml diagram for where to use class diagrams 46 uml diagram java code.
how to make uml diagram for how do you know what to put in the system box 23 uml diagram.
unique how to make uml diagram and an example of figure 6 using instances instead of classes 86 uml diagram java code.
best of how to make uml diagram and the two ways of representing attributes in 43 uml sequence diagram symbols.
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.
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.
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.
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 How To Make Uml Diagram