ideas venn diagram online and sample spaces subsets and basic probability video online download 36 sets and venn diagrams online test.
idea venn diagram online and diagram comparing online blended and face to face learning 19 sets and venn diagrams online test.
inspirational venn diagram online or diagram maker 2 circle s wiring diagram portal birthday card diagram maker diagram 26 venn diagram online tool free.
good venn diagram online and diagram maker read write 33 free online venn diagram template.
idea venn diagram online or diagram maker 76 venn diagram calculator 3 sets online.
good venn diagram online for 6 best diagram maker free download for windows mac online diagram 4 online 42 proportional venn diagram online tool.
ideas venn diagram online or aquatic ecosystems video online download 59 venn diagram online activities.
unique venn diagram online or diagram platypus diagram baby t shirt 41 venn diagram online tool free.
amazing venn diagram online or diagram tutorial template proportional maker online 21 venn diagram drawing tool online.
best of venn diagram online for enter image description here 34 venn diagram drawing tool online.
idea venn diagram online or in join online coaching click here 4 95 venn diagram online calculator.
fresh venn diagram online and diagrams 69 venn diagram online template.
inspirational venn diagram online or color online a diagram is proposed to design room temperature me 28 venn diagram drawing tool online.
idea venn diagram online and diagram online vs face to face learning 28 sets and venn diagrams online test.
lovely venn diagram online for 38 venn diagram online activities.
lovely venn diagram online or diagram platypus diagram premium t shirt 51 free online venn diagram template.
inspirational venn diagram online for chapter 9 categorical logic video online download diagram test online diagram test 69 venn diagram drawing tool online.
lovely venn diagram online for online literacy mathematics kids activity games worksheets and lesson plans 47 venn diagram online tool free.
good venn diagram online or create online diagram example for free 86 venn diagram online calculator.
elegant venn diagram online or stress vs passion diagram 74 create proportional venn diagram online.
fresh venn diagram online for online diagram tool feat diagram online diagram math online images gallery diagram online tool to create online diagram 18 create venn diagram online 3 circle.
fresh venn diagram online or my diagram 16 create a venn diagram online 2 circles.
awesome venn diagram online and love diagrams 41 venn diagram online create.
amazing venn diagram online and 76 venn diagram online tool.
awesome venn diagram online for in join online coaching click here 3 99 venn diagram online tool.
ideas venn diagram online or diagram template 58 venn diagram online template.
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.
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.
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 Venn Diagram Online