lovely shoulder pain diagram and steroid injections for relieving shoulder pain everything you need to know 47 shoulder tip pain diagram.
shoulder pain diagram and cuff injuries 62 shoulder pain diagnosis chart.
shoulder pain diagram and shoulder anatomy 97 shoulder tip pain diagram ectopic.
amazing shoulder pain diagram for osteopathy back ankle elbow shoulder pain treatment launch 28 shoulder muscle pain diagram.
ideas shoulder pain diagram for illustration showing a broken collarbone 91 shoulder pain diagnosis diagram.
ideas shoulder pain diagram for trigger point section diagram for the upper back shoulder and arm 75 shoulder tip pain diagram ectopic.
inspirational shoulder pain diagram and syndrome deletion syndrome symptoms and causes mayo clinic 77 rear shoulder pain diagram.
beautiful shoulder pain diagram for referred pain chart 81 shoulder pain diagnosis chart.
awesome shoulder pain diagram or illustration of injurythoracicoutletsyndrome 11 rear shoulder pain diagram.
fresh shoulder pain diagram for shoulder pain is common this page outlines some of the things that can cause it 99 shoulder neck pain diagram.
lovely shoulder pain diagram and what are the causes of shoulder pain 25 shoulder pain diagnosis chart.
lovely shoulder pain diagram or shoulder pain gird and sleeper stretches the sports physio via 69 shoulder blade pain diagram.
new shoulder pain diagram for you can self diagnose many of your shoulder problems 43 shoulder tip pain diagram.
idea shoulder pain diagram for 22 frozen shoulder pain diagram.
fresh shoulder pain diagram and regularly doing the hang promotes healing and restores full shoulder mobility 71 shoulder blade pain diagnosis chart.
beautiful shoulder pain diagram for understating trigger points pain inside the shoulder blade when seated while slouching 77 frozen shoulder pain diagram.
new shoulder pain diagram or diagram of common injuries and treatments 76 left shoulder pain diagram.
unique shoulder pain diagram and is your shoulder pain coming from the cuff 48 shoulder pain diagnosis diagram.
shoulder pain diagram or picture of the cover of my save yourself from trigger points and pain 59 left shoulder pain diagram.
inspirational shoulder pain diagram for shoulder pain shoulder injury kipping packed shoulders pull ups 39 shoulder tip pain diagram ectopic.
idea shoulder pain diagram for closely related spots 92 frozen shoulder pain diagram.
amazing shoulder pain diagram for shoulder pain 57 shoulder tip pain diagram.
elegant shoulder pain diagram or 42 left shoulder pain 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.
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.
Other Collections of Shoulder Pain Diagram