new dia diagram editor or gram editor review beautiful test pipe archive supra 96 dia diagram editor portable.
unique dia diagram editor for network gram screenshot 25 dia diagram tool download.
inspirational dia diagram editor and gram editor main window screenshot 97 dia diagram editor download.
best of dia diagram editor and gram editor 94 dia diagram editor portable windows.
amazing dia diagram editor or screenshot 5 52 dia diagram editor vs visio.
best of dia diagram editor or sample 39 dia diagram editor free download.
luxury dia diagram editor for open source alternatives fresh gram editor alternative the open source school 12 dia diagram editor rotate text.
best of dia diagram editor for enter image description here 41 dia diagram editor mac.
new dia diagram editor and gram editor main window screenshot 37 dia diagram editor free download.
beautiful dia diagram editor and gram editor review lovely sequence gram unique gram editor review gram 69 dia diagram editor review.
awesome dia diagram editor for 23 dia diagram editor portable windows.
beautiful dia diagram editor or diagram editor 57 dia diagram editor mac.
ideas dia diagram editor for mg wiring harness gram for trailers a light switch gram tool mac 16 dia diagram editor rotate text.
inspirational dia diagram editor for gram editor 29 dia diagram editor portable download.
good dia diagram editor for gram editor download windows electrical wiring gram gram editor 54 mac os x dia diagram editor.
best of dia diagram editor or the 93 dia diagram editor download mac.
luxury dia diagram editor for gram editor medium to large size of flowchart samples flow chart how to make charts using 21 dia diagram tool download.
idea dia diagram editor for is a handy little program for creating grams and flowcharts its easier to use and less expensive than commercial products like or 81 dia diagram editor review.
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.
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.
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 Dia Diagram Editor