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Foundation Nov P1 2008
Foundation Nov P1 2008

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... be able to perform calculations and prove results. . . . With these in mind, my goals in my half of this lecture course will be roughly as follows: • to introduce some aspects (and methods) of pure mathematics so as to provoke interest and enthusiasm for future courses; • to introduce the concept of ...
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... calculate since it is equal to the current gain (b) multiplied by the resistance gain (E = bR). And, the power gain is equal to the voltage gain multiplied by the current gain b (P = bE). ...
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... Write the left side as the square of a binomial: (x − 3)2 = 36 Take the square root of both sides: x − 3 = ±6 Solve for x: x − 3 = 6 or x − 3 = −6 x = 9 or x = −3 The roots are 9 and −3. The solution to Example 1 can be modelled graphically. The equation has two distinct real roots. The graph of the ...
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Signal-flow graph

A signal-flow graph or signal-flowgraph (SFG), invented by Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the term, is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes. Thus, signal-flow graph theory builds on that of directed graphs (also called digraphs), which includes as well that of oriented graphs. This mathematical theory of digraphs exists, of course, quite apart from its applications.SFG's are most commonly used to represent signal flow in a physical system and its controller(s), forming a cyber-physical system. Among their other uses are the representation of signal flow in various electronic networks and amplifiers, digital filters, state variable filters and some other types of analog filters. In nearly all literature, a signal-flow graph is associated with a set of linear equations.
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