# Er Diagram Tool

inspirational er diagram tool and er diagram for website elegant free diagram tool mac 59 mysql er diagram tool online.

lovely er diagram tool and diagram tool er diagram tool entity relationship diagram tool beautiful best entity relationship diagrams er 64 linux er diagram tool postgresql.

awesome er diagram tool for 3 top 5 free er diagram tool online 1 47 er diagram tool open source ubuntu.

awesome er diagram tool and data flow diagram maker er diagram creator wiring reviews data flow data flow chart creator 81 er diagram tool for mysql free download.

good er diagram tool for awesome free er diagram tool pics 66 er diagram uml online.

lovely er diagram tool for er diagram tool pleasant related post 62 er diagram tool for mysql free download.

good er diagram tool for 43 linux er diagram tool postgresql.

idea er diagram tool and er diagram tool 56 best er diagram tool for mac.

fresh er diagram tool for data flow diagram maker er diagram creator data flow chart maker large 22 free er diagram tool postgresql.

elegant er diagram tool for 2 top 5 free er diagram tool online 1 38 mysql er diagram tool online.

luxury er diagram tool or database diagram tool free database relationship diagram diagrams database and er diagram software ode entity relationship 64 er diagram tool linux.

idea er diagram tool or er diagram tool free luxury er diagram drawing tool free home wiring diagram software collection 73 oracle er diagram tool free download.

unique er diagram tool for open source database diagram tool new er diagram of school management system free project report 74 er diagram tools open source.

fresh er diagram tool and wire diagram software er diagram maker free elegant how to make a data flow diagram 68 erwin tool for er diagram free download.

unique er diagram tool for database entity relationship diagram lovely diagram tool best er diagram tool coloring entity relationship 75 er diagram tools open source.

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.

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.