By W. J. Thron
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Extra info for Analytic Theory of Continued Fractions II
Note here that stop-1 is the last integer included. With range, the previous example would rather read for i in range(3, 8, 1): print i**2 By default, if range is called with only two parameters, these are taken to be start and stop, in which case a step of 1 is understood. If only a single parameter is used in the call to range, this parameter is taken to be stop. The default step of 38 2 Basic Constructions 1 is then used (combined with the starting at 0). Thus, calling range, for example, as range(6) would return the integers 0, 1, 2, 3, 4, 5.
Projects with extensive symbolic computations will certainly benefit from exploring Sage. 11 Concluding Remarks Programming demands you to be accurate! In this chapter, you have seen some examples of how simple things may be done in Python. Hopefully, you have tried to do the examples on your own. If you have, most certainly you have discovered that what you write in the code has to be very accurate. For example, with our previous example of four heights collected in an array h, writing h(0) instead of h gives an error, even if you and I know perfectly well what you mean!
Python also offers means to detect and handle errors by the program itself! The programmer must then foresee (when writing the code) that there is a potential for error at some particular point. If, for example, some user of the program is asked (by the running program) to provide a number, and intends to give the number 5, but instead writes the word five, the program could run into trouble. 2 for an example), avoiding a program crash. This procedure of trying an action and then recovering from trouble, if necessary, is referred to as exception handling and is the modern way of dealing with errors in a program.
Analytic Theory of Continued Fractions II by W. J. Thron