Height: Difference between revisions

Cmloegcmluin (talk | contribs)
Mike Battaglia (talk | contribs)
Examples of Height Functions: clarify semi height
Line 62: Line 62:
| <math>\|q\|_{T1} + 2 \log_2 \left( {q + 1} \right) - \log_2 \left( {q} \right)</math>
| <math>\|q\|_{T1} + 2 \log_2 \left( {q + 1} \right) - \log_2 \left( {q} \right)</math>
|-
|-
| Harmonic height
| Harmonic semi-height
| Semi-Height
| Semi-Height
| <math>\dfrac {n d} {n + d}</math>
| <math>\dfrac {n d} {n + d}</math>
Line 68: Line 68:
| <math>\|q\|_{T1} - 2 \log_2 \left( {q + 1} \right) + \log_2 \left( {q} \right)</math>
| <math>\|q\|_{T1} - 2 \log_2 \left( {q + 1} \right) + \log_2 \left( {q} \right)</math>
|-
|-
| [[Kees height]]
| [[Kees semi-height]]
| Semi-Height
| Semi-Height
| <math>\max \left( {2^{-v_2 \left( {n} \right)} n, 2^{-v_2 \left( {d} \right)} d} \right)</math>
| <math>\max \left( {2^{-v_2 \left( {n} \right)} n, 2^{-v_2 \left( {d} \right)} d} \right)</math>