A based federer spectral sequence and the rational homotopy by Smith S.B.

By Smith S.B.

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Sample text

The ease-of-use advantage of floating-point processors is due to the fact that in many cases the programmer does not have to be concerned about dynamic range and precision. On a fixedpoint processor, in contrast, programmers often must carefully scale signals at various stages of their programs to ensure adequate numeric performance with the limited dynamic range and precision of the fixed-point processor. Most high-volume, embedded applications use fixed-point processors because the priority is low cost.

The example filter has a gain of 100. This means that the range of values at the output of the filter can be as much as 100 times larger than the range of values at the input to the filter. 0, the output values are limited to the range -100 to + 100. 0 for fractional representations. If signals exceed these values, overflow occurs, and incorrect results are produced. To avoid this situation, the programmer must be aware of the range of signal values at each point in the program and scale signals at various points to either eliminate the possibility of overflow or reduce the probability of overflow to an acceptably low level.

The example filter has a gain of 100. This means that the range of values at the output of the filter can be as much as 100 times larger than the range of values at the input to the filter. 0, the output values are limited to the range -100 to + 100. 0 for fractional representations. If signals exceed these values, overflow occurs, and incorrect results are produced. To avoid this situation, the programmer must be aware of the range of signal values at each point in the program and scale signals at various points to either eliminate the possibility of overflow or reduce the probability of overflow to an acceptably low level.

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