- go to this Complex Analysis link in the browser of your choice:
https://complexanalysis.org/web/sec_complex-log.html
- Find Definition 5.2.2. Principal value of the logarithm. (Search for "principal" without quotes.) 3. Read down until you find, "The domain for the function, Log."
Problem: Screenreaders are not differentiating between lower-case "log," and upper-case "Log." They have different meanings.
In short, and you may just have to take my word for this one, log(-1), in complex analysis, has infinite answers. Not only is e^(pi i) = -1, but e to the power of any odd number multiplied by pi i, also. Saying "log(-1)" can mean any of those. The "principal logarithm" (similar to principal square root in that
context) refers to the official one accepted form for complex analysis, which, in this case, is simply "pi i." The principal logarithm is written with the word "Log," with a capital L. JAWS renders both as "log," but students need to know the difference in order to know what to write down in assignments.
Expected: MathCAT pronunciation that screen readers
https://complexanalysis.org/web/sec_complex-log.html
Problem: Screenreaders are not differentiating between lower-case "log," and upper-case "Log." They have different meanings.
In short, and you may just have to take my word for this one, log(-1), in complex analysis, has infinite answers. Not only is e^(pi i) = -1, but e to the power of any odd number multiplied by pi i, also. Saying "log(-1)" can mean any of those. The "principal logarithm" (similar to principal square root in that
context) refers to the official one accepted form for complex analysis, which, in this case, is simply "pi i." The principal logarithm is written with the word "Log," with a capital L. JAWS renders both as "log," but students need to know the difference in order to know what to write down in assignments.
Expected: MathCAT pronunciation that screen readers