luxury bubble diagram maker and desire 95 bubble diagram program free.
bubble diagram maker or bubble diagram maker free bubble diagram software bubble diagrams in landscape design bubble diagram drawing software 76 bubble diagram software.
luxury bubble diagram maker and bubble diagram software bubble maps software does scatter plot and circle charts in excel useful for bubble diagram software 33 bubble diagram architecture software.
beautiful bubble diagram maker or bubble diagram maker bubble diagram bubble diagram free download 11 bubble chart maker excel.
luxury bubble diagram maker for bubble diagram maker unique program furniture inventory adjacency study bubble diagram 14 bubble diagram software.
beautiful bubble diagram maker or landscape architecture diagram google search a for new bubble diagram architecture concept diagram schematic design 72 bubble diagram program.
good bubble diagram maker or thoughts you have as web diagram maker approaches web diagram maker 43 bubble flow chart maker.
luxury bubble diagram maker and bubble diagram interior design bubble diagram maker bubble diagram maker free diagram maker excel info bubble bubble diagram 59 bubble diagram free download.
unique bubble diagram maker for architecture diagrams bubble diagram program school concept thesis drawing models urban planning simple for writing of bubble diagrams 83 bubble diagram program.
fresh bubble diagram maker for bubble diagram software bubble diagram maker bubble diagram program free best bubble diagram software 15 bubble diagram maker free.
ideas bubble diagram maker for 96 bubble chart maker excel.
beautiful bubble diagram maker and bubble diagram software the most valuable chart in project portfolio management bubble diagram drawing software 95 bubble diagram drawing software.
beautiful bubble diagram maker or make bubbles smaller in geographic bubble charts via 94 bubble diagram drawing software.
idea bubble diagram maker and free bubble diagram software prettier bubble clusters chart for presentations of free bubble diagram software 68 bubble diagram program.
amazing bubble diagram maker and architecture bubble diagram software 31 bubble diagram free download.
best of bubble diagram maker or bubble diagram maker 18 bubble chart maker free.
amazing bubble diagram maker for bubble diagram interior design bubble diagram bubble diagram 84 bubble chart maker online.
luxury bubble diagram maker or free bubble diagram software for bubbles overview 43 bubble chart maker online.
awesome bubble diagram maker and template bubble diagram technique bubble diagram app bubble diagram of museum bubble diagram use bubble diagram 33 bubble diagram architecture software.
fresh bubble diagram maker or bubble diagram interior design bubble diagram maker bubble diagram information chart relation chart green and tree 73 bubble chart tool excel.
awesome bubble diagram maker and image result for architecture program combinations 92 bubble diagram software free.
ideas bubble diagram maker for free bubble diagram software admirable bubble clusters chart for presentations of free bubble diagram software 33 bubble chart maker free.
idea bubble diagram maker and bubble chart maker fabulous line graph maker for creating beautiful of bubble chart maker inspirational 36 bubble diagram architecture software.
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.
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.
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 Bubble Diagram Maker