unique bathroom sink drain parts diagram for kitchen sink drain parts diagram bathroom sink plumbing parts diagram sink drain parts fascinating kitchen sink 14 diagram maker science.
lovely bathroom sink drain parts diagram or bathroom sink drain assembly fabulous bathroom sink stopper parts sink stopper replacement sink drain assembly diagram 76 diagram maker physics.
awesome bathroom sink drain parts diagram for how to plumb a double sink dual sink plumbing sink drain parts kitchen sink drain parts 38 diagram of the heart gcse.
idea bathroom sink drain parts diagram or bathroom sink plumbing parts gorgeous design regarding decorations 5 26 diagram maker for mac.
good bathroom sink drain parts diagram for kitchen sink drain parts diagram bathroom sink plumbing parts co bathroom sink tailpiece replacement 64 diagram of ear.
inspirational bathroom sink drain parts diagram for bathroom sink drain parts kitchen sink drain parts diagram parts of a bathroom sink bathroom sink 68 diagram of digestive system simple.
lovely bathroom sink drain parts diagram or bathroom sink drain parts beautiful bathroom decor best choice of bathroom sink drain parts diagram on 75 diagram of earthquake.
ideas bathroom sink drain parts diagram for bathroom parts bathroom sink parts names bathroom parts small images of bathroom sink drain parts diagram 15 diagram maker free download.
beautiful bathroom sink drain parts diagram for kitchen sink drain parts diagram bathroom sink parts kitchen sink drain parts diagram bathroom sink plumbing 43 diagram of the brain lobes.
lovely bathroom sink drain parts diagram for bathroom sink drain parts diagram 81 diagram of plant cell organelles.
ideas bathroom sink drain parts diagram or plumbing under bathroom sink bathroom sink parts bathroom sink parts plumbing parts under bathroom sink com 71 diagram of the heart and lungs.
ideas bathroom sink drain parts diagram or installing new sink drain bathroom sink trap bathroom p trap bathroom sink drain parts diagram n p 43 diagramming sentences pdf.
bathroom sink drain parts diagram or pin by on bathroom sink bathroom bathroom faucets and bathroom furniture 49 diagram of the eye quiz.
lovely bathroom sink drain parts diagram for bathroom sink drain parts diagram unique new bathroom sink faucet parts bathroom ideas 54 diagramming sentences quiz.
new bathroom sink drain parts diagram for kitchen sink drain parts diagram beautiful pop up sink drain parts bathroom sink kitchen 97 diagram of digestive system in hindi.
inspirational bathroom sink drain parts diagram or bathroom sink drain parts diagram new kitchen sink drain parts diagram fantastic parts a bathroom 39 diagram maker download.
luxury bathroom sink drain parts diagram or large size of home sink drain parts drainage cleaning services bathroom vanity drain 38 diagram of the heart worksheet.
beautiful bathroom sink drain parts diagram for kitchen sink drain parts diagram bathroom sink drain parts unique kitchen sink drain parts home design 48 diagramming sentences worksheets.
awesome bathroom sink drain parts diagram for sink drain assembly sink bathroom sink drain assembly diagram for kitchen sink parts for bathroom sink 86 diagram of ear canal.
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.
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.
Other Collections of Bathroom Sink Drain Parts Diagram