Letter | Published:

Higher Algebra

Nature volume 150, page 124 (25 July 1942) | Download Citation



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 acb2>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 acb2 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 acb2.

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