elegant free online uml diagram tool and a typical chart 59 free online uml class diagram tool.
lovely free online uml diagram tool for 1 66.
best of free online uml diagram tool and 5 best free design and layout tools for offices and waiting rooms room diagram maker free 22.
best of free online uml diagram tool for free diagram tool elegant fresh draw diagram line 81.
idea free online uml diagram tool and online diagram tool free create diagrams online in seconds no special tools needed 74 free online uml class diagram tool.
inspirational free online uml diagram tool and database design tool a online a workflow diagram software a business 78 free online uml class diagram tool.
good free online uml diagram tool or tool for 12.
awesome free online uml diagram tool for example network diagram 87.
good free online uml diagram tool or diagram tool free diagram creator diagram tool diagram tool diagrams 69.
new free online uml diagram tool and diagram sample unified modeling language class diagram tools class diagram designer 45.
new free online uml diagram tool or online diagram tool awesome line diagram tool free diagram website wiring circuit 47.
luxury free online uml diagram tool for online diagram tool free web diagram tool block and schematic diagrams o 63 free online uml class diagram tool.
beautiful free online uml diagram tool for lovely charts free online tools to create diagrams 53 free online uml class diagram tool.
elegant free online uml diagram tool and why is free use case diagram tool so famous free use case diagram tool 18 free online uml class diagram tool.
awesome free online uml diagram tool or diagram tool free diagramming code generation diagram tool free online diagram maker software free 38 free online uml class diagram tool.
unique free online uml diagram tool or free class diagram tool best of line shopping domain class diagram example 68.
lovely free online uml diagram tool or diagram software create sequence diagrams use case diagrams and more with 96 uml sequence diagram tool online free.
good free online uml diagram tool or started as a only modeling tool 57.
ideas free online uml diagram tool or looking diagrams 41 free online uml class diagram tool.
amazing free online uml diagram tool for sequence diagram 55 free online uml class diagram tool.
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.
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.
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.
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.
Other Collections of Free Online Uml Diagram Tool