inspirational hip pain diagram and hip pain recommendations physiotherapy sports medicine 27 sore hip anatomy.
unique hip pain diagram or picture of the anatomy of the hip 63 lower back hip pain diagram.
lovely hip pain diagram or skeleton with hip joint pain 34 hip flexor pain diagram.
best of hip pain diagram or syndrome an overlooked cause of low back pain net best treatment for syndrome what causes syndrome 42 lower back hip pain diagram.
inspirational hip pain diagram or hip leg pain diagram images gallery 87 lower back hip pain diagram.
lovely hip pain diagram for the is a major contributor to back pain stiffness and anterior hip pain description of what it is how the functions and strategies to 61 lower back hip pain diagram.
hip pain diagram for stretch 62 sore hip diagram.
idea hip pain diagram and human hip pain stock photo 93 hip pain causes diagram.
awesome hip pain diagram and hip pain the complete injury guide health hip pain hip pain diagram 64 sore hip anatomy.
awesome hip pain diagram for right side and hip pain diagram showing various hip pain points 35 hip flexor pain diagram.
unique hip pain diagram for tear pain sites 15 hip pain causes diagram.
best of hip pain diagram and internal snapping hip syndrome and how is the antidote 71 sore hip diagram.
good hip pain diagram and diagram of hip pain source 49 lower back hip pain diagram.
luxury hip pain diagram and structures of the hip joint 35 hip pain causes diagram.
ideas hip pain diagram for secondary necrosis 69 lower back hip pain diagram.
good hip pain diagram for foot anatomy foot and ankle bones ligaments tendons and more 63 lateral hip pain diagram.
unique hip pain diagram and do you see how many muscles span across the front of the ankle now imagine these muscles in a tight and shortened state the ankle would not be able to 72 sore hip anatomy.
good hip pain diagram and clinical tests for in patients with lateral hip pain 25 lower back hip pain diagram.
new hip pain diagram for dog hip pain and bone diseases causing joint and leg pain and limping in growing canines 54 lateral hip pain 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.
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.
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.
Other Collections of Hip Pain Diagram