Power-law indices of asteroidal grooves and strength

Pitch strength and Stevens's power law.

Recent studies have suggested that the saliency or the strength of pitch of complex sounds can be accounted for on the basis of the temporal properties in the stimulus waveform as measured by the height of the first peak in the waveform autocorrelation function. We used a scaling procedure to measure the pitch strength from 15 listeners for four different pitches of complex sounds in which the ...

Different Power-law Indices in the Frequency Distributions of Flares with and without Coronal Mass Ejections

We investigated the frequency distributions of flares with and without coronal mass ejections (CMEs) as a function of flare parameters (peak flux, fluence, and duration of soft X-ray flares). We used CMEs observed by the Large Angle and Spectrometric Coronagraph (LASCO) on board the Solar and Heliospheric Observatory (SOHO) mission and soft X-ray flares (C3.2 and above) observed by the GOES sat...

Computation of Power Indices

Law and Power

Power Law and Entropy

Shannon[1] and Yavuz[2] estimated the entropy of real documents. This note drives an upper bound of entropy from the power law. Let D be a set of documents and f r(w) be the number of occurrences of a word w in the document. Given an interger k, we denote by F (k) the number of words whose frequency is k, i.e., F (k) = ♯{w ∈ D | f r(w) = k}. The entropy of the document set D is defined by E(D) ...