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Taking the inverse Laplace transform of both sides gives the solution f (t) = 2 cos( 2 t)u(t)

strtoull( ) was added by C99 The strtoull( ) function is similar to strtoul( ) except that it returns an unsigned long long int If the result cannot be represented as an unsigned long integer, ULLONG_MAX is returned and the global variable errno is set to ERANGE If start does not point to a number, no conversion takes place and zero is returned Related Functions strtol( ) and strtoul( )

#include <stdlibh> int system(const char *str);

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The system( ) function passes the string pointed to by str as a command to the command processor of the operating system If system( ) is called with a null pointer, it will return nonzero if a command processor is present; otherwise, it will return zero (C code executed in unhosted environments will not have access to a command processor) The return value of system( ) is implementation defined, but typically, zero is returned if the command was successfully executed, and a nonzero return value indicates an error Example Using the Windows operating system, this program displays the contents of the current working directory:

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Given an electric circuit we can calculate its response to a unit impulse input (t) This type of excitation serves to characterize the circuit itself and can be used to determine the response of the circuit to any general type of excitation As a result the response of the circuit to the unit impulse is sometimes called the natural response or unit impulse response We denote the output by h(t) This is shown schematically in Fig 13-4 We call the Laplace transform of the natural response the network function H (s) Once the network function for a given circuit is known, we can calculate the response of the circuit to any input by using the convolution theorem Let e(t) represent an arbitrary excitation of the circuit Then the response is found by using convolution r (t) =

#include <stdlibh> int main(void) { return system(''dir"); }

Figure 71 The typical service area of a telephone company central office has a radius of 3 to 4 miles from the office

#include <stdargh> type va_arg(va_list argptr, type); void va_copy(va_list target, va_list source); void va_end(va_list argptr); void va_start (va_list argptr, last_parm);

(1315)

The va_arg( ), va_start( ), and va_end( ) macros work together to allow a variable number of arguments to be passed to a function The most common example of a function that takes a variable number of arguments is printf( ) The type va_list is defined by <stdargh> The general procedure for creating a function that can take a variable number of arguments is as follows The function must have at least one known parameter, but may have more, prior to the variable parameter list The rightmost known parameter is called the last_ parm The name of last_ parm is used as the second parameter in a call to va_start( ) Before any of the variable-length parameters can be accessed, the argument pointer argptr must be initialized through a call to va_start( ) After that, parameters are returned via calls to va_arg( ), with type being the type of the next parameter Finally, once all the parameters have been read, and prior to returning from the function, a call to va_end( ) must be made to ensure that the stack is properly restored If va_end( ) is not called, a program crash is very likely The va_copy( ) macro copies the argument list in source to target Example This program uses sum_series( ) to return the sum of a series of numbers The first argument contains a count of the number of arguments to follow In this example, the program sums the first five elements of the series:

1 2N

double sum_series(int num, );

The convolution theorem allows us to write this as a simple multiplication in the s domain R(s) = E(s)H (s) (1316)

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