awesome sprinkler system diagram and wiring valves to a sprinkler system controller 81 typical lawn sprinkler system diagram.
idea sprinkler system diagram or block diagram of automatic irrigation system 58 wet sprinkler system layout.
awesome sprinkler system diagram and typical residential sprinkler plan piping layout diagram 8 85 deluge sprinkler system diagram.
good sprinkler system diagram or electrical panel riser diagram electrical get free image fire sprinkler riser parts fire sprinkler riser parts 87 wet fire sprinkler system diagram.
idea sprinkler system diagram and town water main fire sprinkler diagram 34 hunter pro c sprinkler system wiring diagram.
awesome sprinkler system diagram or how to install an irrigation system in your yard the family handyman 86 residential fire sprinkler system diagram.
sprinkler system diagram for orbit 19 dry pipe sprinkler system components.
inspirational sprinkler system diagram and basic sprinkler system diagram 86 fire sprinkler system components.
awesome sprinkler system diagram or plastic nozzle 23 lawn sprinkler system setup.
luxury sprinkler system diagram for plant irrigation system circuit diagram 89 residential fire sprinkler system diagram.
unique sprinkler system diagram and septic sprinkler head septic sprinkler head system diagram septic sprinkler head system diagram 67 wet sprinkler system elevation diagram.
fresh sprinkler system diagram or sprinkler system diagrams 44 fire sprinkler system setup.
elegant sprinkler system diagram for sprinkler system pressure regulator 1 valve diagram for draining irrigation system blowout sprinkler system 53 sprinkler system plumbing diagram.
sprinkler system diagram for sprinkler system wiring home ideas model dentist info orbit sprinkler system diagram orbit sprinkler 56 sprinkler system plumbing diagram.
idea sprinkler system diagram for sprinkler head riser installing your own sprinkler system sprinkler head riser cap sprinkler head 37 lawn sprinkler system components.
elegant sprinkler system diagram for deluge systems electric actuation diagram 34 wet sprinkler system diagram.
beautiful sprinkler system diagram or irrigation valve diagram 58 residential fire sprinkler system diagram.
best of sprinkler system diagram for sprinkler 26 lawn sprinkler irrigation system diagram.
beautiful sprinkler system diagram and sprinkler systems the system diagram 26 sprinkler system wiring schematic.
amazing sprinkler system diagram and frozen sprinkler system diagram associated landscape contractors of 53 fire fighting sprinkler system diagram.
new sprinkler system diagram or image titled install a sprinkler system step 1 43 wet sprinkler system diagram.
sprinkler system diagram or lawn sprinkler head diagram wiring diagram third level com lawn sprinkler 13 deluge sprinkler system components.
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 Sprinkler System Diagram