back pain diagram for diagram of common injuries and treatments 78 pain diagram for tattoos.
new back pain diagram for hip 42 kidney pain location human body.
elegant back pain diagram or interstitial cystitis low back pain 29 pain diagram form.
back pain diagram or illustration of injurymusclestraininjuriesback woman pain diagram muscle pain diagram 86 kidney pain location human body.
elegant back pain diagram and spine back pain diagram vector image 26 pain diagram pdf.
beautiful back pain diagram and disc surgery vector illustration diagram with back nerves and bones pain 74 pain diagram form.
unique back pain diagram for do you suffer from the following 82 pain diagram form.
elegant back pain diagram for table 1 physical therapist decision tree 68 pain diagram pdf.
inspirational back pain diagram or 89 pain diagram pdf.
ideas back pain diagram and spine affected back pain 57 pain diagram for tattoos.
amazing back pain diagram or diagram of the bio psycho social aspect of chronic pain treatment 91 pain diagram meme.
ideas back pain diagram and what does a pulled lower abdominal muscle feel like symptoms list diagram of lower back pain areas diagram of lower abs 88 pain diagram human body.
awesome back pain diagram for low back pain lower back anatomy treatment spine sprain 77 kidney pain location human body.
elegant back pain diagram and diagram showing exposure to back pain at work from different postures 14 pain diagram of body.
awesome back pain diagram for what is chronic low back pain 99 pain diagram pdf.
ideas back pain diagram for lower back pain diagram elegant thoracic spine neck amp back pain 23 pain diagram for tattoos.
elegant back pain diagram or low back pain causes 96 pain diagram human body.
elegant back pain diagram for human anatomy lower back anatomy spinal anatomy diagram anatomy com lower back human anatomy back muscles diagram 32 pain diagram human body.
awesome back pain diagram or diagram showing kidney pain can be felt in the lower back and groin area 18 pain diagram human body.
luxury back pain diagram and lower back pain 74 kidney pain location human body.
fresh back pain diagram and rib cage labeled 11 kidney pain location human body.
best of back pain diagram and exercises to assist in alleviating lower back pain 63 pain diagram pdf.
new back pain diagram and lumbar lower back pain core strength diagram spine surgeon by 11 pain diagram form.
new back pain diagram or 48 kidney pain location human body.
amazing back pain diagram and 46 kidney pain location human body.
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.
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.
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.
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.
Other Collections of Back Pain Diagram