unique free diagram tool and free flow diagram tool wiring diagram pro best tool to create flow chart large 86 best free database diagram tool.
best of free diagram tool for free architecture diagram tool best of degree angle stock royalty free of free architecture diagram 59 free diagram tool linux.
idea free diagram tool or free diagram tool like luxury organization chart template software free download free diagram 66 database diagram tool free mac.
lovely free diagram tool or sentence diagram tool free complete wiring diagrams o machine product us simple printable diagramming worksheets adjectives 21 free network diagram tool mac.
inspirational free diagram tool or free network topology software for windows 94 free uml sequence diagram tool.
ideas free diagram tool and spider diagram software tool 93 free uml diagram tool linux.
elegant free diagram tool or free tool to create sequence diagram pretty best sequence diagram ideas on of free 69 free er diagram tool windows.
inspirational free diagram tool and screenshot 58 free uml sequence diagram tool.
idea free diagram tool and free diagram tool like inspirational home plan creating 53 database diagram tool free mysql.
elegant free diagram tool and related post 79 free uml diagram tool online.
elegant free diagram tool for free flow diagram tool that best free flowchart app wiring diagram pro best free flow 43 free uml diagram tool linux.
good free diagram tool or diagram free tool diagram tools diagram diagram tool free online diagram free tool download 13 free diagram maker mac.
ideas free diagram tool for flow diagram program flow chart maker software best paid and free process diagram tool program for 62 free database diagram drawing tool.
good free diagram tool and data flow diagram tool free pleasant flow charts problem solving skills from of data flow 83 free diagram tool linux.
elegant free diagram tool for free sequence diagram tool fresh sequence diagram images of 75 free diagram maker mac.
luxury free diagram tool or deployment diagram for system 79 free uml diagram tool visual studio.
beautiful free diagram tool and use case diagram tool creating diagrams maker online free test management diagrams use case online tool tools 97 free uml diagram tool download.
new free diagram tool and database entity relationship diagram tool free best of data flow flow chart tool free 76 free sequence diagram tool for eclipse.
awesome free diagram tool for free er diagram tool 74 free entity diagram tool.
ideas free diagram tool and topology mapping 65 free er diagram tool for mac.
elegant free diagram tool and x trail and 2 iii scenic grand engine timing diagram tool drawing free 99 free database diagram tool.
beautiful free diagram tool for diagram flowchart software 67 free uml diagram tool mac.
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.
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.
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.
Other Collections of Free Diagram Tool