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truth table formulas

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (Enderton, 2001). In particular, truth tables can be used to show whether a propositional expression is true for all legitimate input values, that is, logically valid. A truth table has one column for each input variable (for example, P and Q), and one final column showing all of the possible results of the logical operation that the table represents (for example, P XOR Q). Each row of the truth table contains one possible configuration of the input variables (for instance, P=true Q=false), and the result of the operation for those values. See the examples below for further clarification. Ludwig Wittgenstein is generally credited with inventing and popularizing the truth t...
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statistics

Statistics is the branch of mathematics that transforms data into useful information for decision makers.  These transformations often require complex calculations that are practical only if done by computer, so using statistics usually means also using computers. This is especially true when dealing with the large volumes of data that a typical business collects.Attempting to do statistics using manual calculations for such data would be too timeconsuming to benefit business.When you learn statistics, you learn a set of methods and the conditions under which it isappropriate for you to use those methods. And because so many statistical methods are practical only when you use C omputers, learning statistics also means learning more about using computer programs that perform statistical analyses.
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Mathematics

Mathematics  includes the study of such topics as quantity (number theory), structure (algebra), space (geometry),and change (mathematical analysis). It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.Since the pioneering work of Giuseppe Peano (1858–1932), Dav...
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Concept of Manifold;

Defination of manifold: The concept of a manifold is in essence a generalization of the idea, first formulated  in mathematical terms by Gauss, underlying the usual procedure   used in cartography (i.e. the drawing of maps of the earth's surface, or   portions of it). The reader is no doubt familiar with the normal cartographical process:                  The region of the earth's surface of interest is subdivided into (possibly overlapping) subregions, and the group of people whose task it is to draw the   map of the region is subdivided into as many smaller groups in such a way   that:   (i) each subgroup of cartographers has assigned to it a        particular subregion (both labelled i, say); and   (ii) if the subregions assigned to two different groups (labelled i and j say) intersect, then these groups must indicate accurately on their maps...
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Shareholder value

Share holder value is business term sometimes pharshed to shareholder value  Maximization or as the shareholder value model which implies that the concept of main business knowledge to ultimate measure of company success as to extent to the  which it enriched shareholder. Shareholder sometime  refered to  Market capitazation of company.  The concept of  primary goal for the company is to increase the wealth of the shareholder by paying and devedents or causing stock price  to increase.
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ELECTRICAL ENGINEERING RESEARCH AREAS

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Notes and Thesis For BS,MS,PHD Engineering and Management students.

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