Add to ORKGThe continuum ambiguity is defined as a phase factor not determined by those amplitude zeros near the physical region that can be directly deduced from the data; such a factor may be approximated by a polynomial whose zeros are far from the physical region. A study of recent TIN partial wave analysis (CUTKOSKY76 and HOHLER78) reveals that such a phase is either null or negligeable; CUTKOSKY76' s amplitude is found similar to that of a partial wave analysis based on Barrelet zeros. We give general arguments based on the notion of "peripheral resonances" to explain this situation. Our arguments imply that Atkinson"s {pi}{sup +}p "continuous ambiguity" is not relevant to the reliability of Barrelet-zero amplitude ...