# Diagram Making Software

diagram making software and onne diagram maker ne flow chart co process software network thinker multi program 54 circuit diagram maker software online.

luxury diagram making software or process 28 diagramming software free download.

lovely diagram making software or software engineering and code editing in ea 69 class diagram making software.

ideas diagram making software and download diagram flowchart software 46 diagramming software for mac free.

new diagram making software and online project planning software 63 diagramming software for mac.

diagram making software and beautiful process flow chart symbols charts tool room new review maker software for 83 diagramming software for mac.

amazing diagram making software and line chart maker lovely electronic circuit diagram maker line new wiring diagram making 13 diagramming software for mac.

elegant diagram making software and example network diagram 29 er diagram making software free download.

ideas diagram making software for download diagram flowchart software 76 diagramming software for mac.

beautiful diagram making software or block diagram maker features 97 best flowchart making software free.

inspirational diagram making software and online flow chart maker co process software diagram making free engineering flow chart maker 43 diagram making software online.

inspirational diagram making software or process flow chart maker making software open source diagram process flow chart maker 29 diagram making software for mac.

beautiful diagram making software and online er diagram making software free download 71 circuit diagram making software.

unique diagram making software and create online er diagram making software free download 75 diagram making software online.

inspirational diagram making software for create organization charts 68 diagram making software online.

inspirational diagram making software and chart made with timeline maker 58 best flowchart making software.

amazing diagram making software and process flow diagram tools flow diagram maker elegant free process flow diagram tool maker download chart 57 circuit diagram making software free download.

inspirational diagram making software and high level office branch 77 er diagram making software.

good diagram making software or free network topology software for windows 59 circuit diagram making software free download.

best of diagram making software and some great replacements of 66 circuit diagram making software.

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.

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.

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.

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.