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6 results on '"Zheng, JinZe"'

3. Duals of Bernoulli Numbers and Polynomials and Euler Number and Polynomials

Author

He, Tian-Xiao and Zheng, Jinze

Subjects
Mathematics - Combinatorics, 05A15, 05A05, 11B39, 11B73, 15B36, 15A06, 05A19, 11B83
Abstract

A sequence inverse relationship can be defined by a pair of infinite inverse matrices. If the pair of matrices are the same, they define a dual relationship. Here presented is a unified approach to construct dual relationships via pseudo-involution of Riordan arrays. Then we give four dual relationships for Bernoulli numbers and Euler numbers, from which the corresponding dual sequences of Bernoulli polynomials and Euler polynomials are constructed. Some applications in the construction of identities of Bernoulli numbers and polynomials and Euler numbers and polynomials are discussed based on the dual relationships.

Published
2015

6. Intensity-time tradeoff for constant hearing loss with high sound levels

Author

Mary Ellen Nivison, Gunnhild Oftedal, and Zheng Jinze

Subjects
Male, medicine.medical_specialty, Time Factors, Acoustics and Ultrasonics, Hearing loss, Octave band, Auditory Threshold, Audiology, Time tradeoff, Electrocochleography, Models, Biological, Intensity (physics), Cochlea, Noise, Arts and Humanities (miscellaneous), Hearing Loss, Noise-Induced, Hair Cells, Auditory, medicine, Reaction Time, Animals, Acoustic trauma, medicine.symptom, Constant (mathematics), Gerbillinae, Mathematics
Abstract

The tradeoff relation between exposure intensity and duration for constant hearing loss was investigated in two series of experiments using Mongolian gerbils. The gerbils were exposed to a 1/3 octave band of noise at 2.5 kHz. In the first series animals were exposed to 120 dB SPL for 1 h, to 126 dB SPL for 15 min, and to 126 dB SPL for 3.75 min. In the second series, shorter durations were used: 120 dB SPL for 15 min, 126 dB SPL for 3.75 min, and 126 dB SPL for 56 s. The hearing thresholds were determined behaviorally immediately before exposure and 6 weeks after exposure. The results suggest that the intensity–time tradeoff for the investigated intensity interval is between 1.5 and 3 dB per halving of the duration.

Published
1988

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