Abstract
MY attention has been directed to an unfortunate error in my review of “The Tutorial Algebra” in NATURE of July 11, p. 39. In fairness to the author especially, I should like to correct this. My query, “Is the condition ⦠biquadratic?”, should havereferred to the converse, namely, Does the condition ac—b2>0 hold for every biquadratic having at least two complex roots? My chief concern was to prevent the inference that the roots are all real when ac—b2 is not positive ; hence the example. I think the whole point would become quite clear if a brief note were added at the end of the proof of example (2) on p. 510 indicating (i) what happens when H is not positive or equal to zero, and (ii) whether the converse to the theorem proved is true, H being ac—b2.
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BROWN, F. Higher Algebra. Nature 150, 124 (1942). https://doi.org/10.1038/150124c0
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DOI: https://doi.org/10.1038/150124c0
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