lovely breast cancer diagram or breast cancer diagram stages 14 breast cancer diagram stages.
best of breast cancer diagram and diagram of breast cancer 73 breast cancer cell diagram.
new breast cancer diagram and breast cancer risk increases with age 85 male breast cancer diagram.
beautiful breast cancer diagram and types of primary breast cancer 75 breast cancer self exam diagram.
good breast cancer diagram for breast cancer concept circular diagram in pink and blue with great terms such as prevention women education and more 97 breast cancer cell diagram.
elegant breast cancer diagram for breast cancer diagram 28 breast cancer diagram pathophysiology.
lovely breast cancer diagram and breast 46 breast cancer pathophysiology diagram scribd.
awesome breast cancer diagram and a diagram of the cross section view of the breast showing the parts of 73 breast cancer pathophysiology diagram scribd.
breast cancer diagram and of breast cancer diagram 26 male breast cancer diagram.
awesome breast cancer diagram for stage 4 breast cancer diagram showing a tumour that has spread to the lung 38 male breast cancer diagram.
best of breast cancer diagram or breast cancer treatment timelines 22 breast cancer symptoms picture.
amazing breast cancer diagram for drawing of female breast anatomy showing the lymph nodes nipple chest wall 81 male breast cancer diagram.
new breast cancer diagram for in a group of women who use the combined pill about will probably develop breast cancer between the ages of and 86 breast cancer diagrammatic representation.
inspirational breast cancer diagram or treatment therapy for breast cancer 69 male breast cancer diagram.
fresh breast cancer diagram or 13 breast cancer symptoms picture.
fresh breast cancer diagram for breast cancer 18 breast cancer self exam diagram.
ideas breast cancer diagram for breast cancer diagram in three stages vector image 32 male breast cancer diagram.
best of breast cancer diagram for breast cancer diagram illustration 89 breast cancer diagrammatic representation.
idea breast cancer diagram for vector illustration of breast cancer diagram 28 breast cancer pathophysiology diagram scribd.
elegant breast cancer diagram or breast cancer diagram in detail illustration 13 breast cancer clock diagram.
awesome breast cancer diagram or diagram showing the most likely sites for local and distant spread of metastases in secondary advanced breast cancer 78 breast cancer symptoms picture.
lovely breast cancer diagram for breast cancer diagram in three stages 11 breast cancer pathophysiology diagram scribd.
beautiful breast cancer diagram or diagram showing breast cancer and lymph nodes 31 breast cancer diagrammatic representation.
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.
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.
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.
Other Collections of Breast Cancer Diagram