Positive And Negative Parts
In mathematics, the positive part of a real or extended real-valued function is defined by the formula : f^+(x) = \max(f(x),0) = \begin f(x) & \mbox f(x) > 0 \\ 0 & \mbox \end Intuitively, the graph of f^+ is obtained by taking the graph of f, chopping off the part under the ''x''-axis, and letting f^+ take the value zero there. Similarly, the negative part of ''f'' is defined as : f^-(x) =\max(-f(x),0)= -\min(f(x),0) = \begin -f(x) & \mbox f(x) 0">>0 : f^-= - <0. One may define the positive and negative part of any function with values in a . The unit is the positive part of the

Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ...
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