Hermite–Hadamard Inclusions for Co-Ordinated Interval-Valued Functions via Post-Quantum Calculus

Jessada Tariboon; Muhammad Aamir Ali; Hüseyin Budak; Sotiris K. Ntouyas

doi:10.3390/sym13071216

Hermite–Hadamard Inclusions for Co-Ordinated Interval-Valued Functions via Post-Quantum Calculus

Symmetry ◽

10.3390/sym13071216 ◽

2021 ◽

Vol 13 (7) ◽

pp. 1216

Author(s):

Jessada Tariboon ◽

Muhammad Aamir Ali ◽

Hüseyin Budak ◽

Sotiris K. Ntouyas

Keyword(s):

Variable Interval ◽

Quantum Calculus ◽

New Findings ◽

Interval Valued

In this paper, the notions of post-quantum integrals for two-variable interval-valued functions are presented. The newly described integrals are then used to prove some new Hermite–Hadamard inclusions for co-ordinated convex interval-valued functions. Many of the findings in this paper are important extensions of previous findings in the literature. Finally, we present a few examples of our new findings. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role.

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Further studies on the ultrastructure of the cochlea

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100159746 ◽

1990 ◽

Vol 48 (3) ◽

pp. 440-441

Author(s):

Zhixian Wang ◽

Pinjin Zhu ◽

Jianhe Sun ◽

Xuezheng Song

Keyword(s):

Hair Cells ◽

Military Medicine ◽

Outer Hair Cells ◽

Apical Surface ◽

Epithelial Surface ◽

Hearing Research ◽

New Findings ◽

Fine Structures ◽

Temporal Bones ◽

Accurate Observation

Hearing research is important not only for clinical, professional and military medicine, but also for toxicology, gerontology and genetics. Ultrastructure of the cochlea attracts much attention of electron microscopists, (1―3) but the research lags far behind that of the other parts of the organnism. On the basis of careful microdissection, technical improvment and accurate observation, we have got some new findings which have not been reported in the literature.We collected four cochleas from human corpses. Temporal bones dissected 1 h after death and cochleas perfused with fixatives 4 h after death were good enough in terms of preservation of fine structures. SEM:The apical surface of OHCs (Outer hair cells) and DTs (Deiters cells) is narrower than that of IPs (Inner pillar cells). The mosaic configuration of the reticular membrane is not typical. The stereocilia of IHCs (Inner hair cells) are not uniform and some kinocilia could be seen on the OHCs in adults. The epithelial surface of RM (Reissner’s membrane) is not smooth and no mesh could be seen on the mesothelial surface of RM. TEM.

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Insights into the biochemical and functional characterization of sortase E transpeptidase of Corynebacterium glutamicum

Biochemical Journal ◽

10.1042/bcj20190812 ◽

2019 ◽

Vol 476 (24) ◽

pp. 3835-3847 ◽

Cited By ~ 1

Author(s):

Aliyath Susmitha ◽

Kesavan Madhavan Nampoothiri ◽

Harsha Bajaj

Keyword(s):

Protein Engineering ◽

Cell Attachment ◽

Functional Characterization ◽

Protein Structures ◽

Structural Similarity ◽

Surface Proteins ◽

Sortase A ◽

Peptide Cleavage ◽

New Findings

Most Gram-positive bacteria contain a membrane-bound transpeptidase known as sortase which covalently incorporates the surface proteins on to the cell wall. The sortase-displayed protein structures are involved in cell attachment, nutrient uptake and aerial hyphae formation. Among the six classes of sortase (A–F), sortase A of S. aureus is the well-characterized housekeeping enzyme considered as an ideal drug target and a valuable biochemical reagent for protein engineering. Similar to SrtA, class E sortase in GC rich bacteria plays a housekeeping role which is not studied extensively. However, C. glutamicum ATCC 13032, an industrially important organism known for amino acid production, carries a single putative sortase (NCgl2838) gene but neither in vitro peptide cleavage activity nor biochemical characterizations have been investigated. Here, we identified that the gene is having a sortase activity and analyzed its structural similarity with Cd-SrtF. The purified enzyme showed a greater affinity toward LAXTG substrate with a calculated KM of 12 ± 1 µM, one of the highest affinities reported for this class of enzyme. Moreover, site-directed mutation studies were carried to ascertain the structure functional relationship of Cg-SrtE and all these are new findings which will enable us to perceive exciting protein engineering applications with this class of enzyme from a non-pathogenic microbe.

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The Effects of Variable-Interval and Fixed-Interval Signal Presentation Schedules on the Auditory Evoked Response

Journal of Speech and Hearing Research ◽

10.1044/jshr.1201.199 ◽

1969 ◽

Vol 12 (1) ◽

pp. 199-209 ◽

Cited By ~ 12

Author(s):

David A. Nelson ◽

Frank M. Lassman ◽

Richard L. Hoel

Keyword(s):

Variable Interval ◽

Tone Burst ◽

Signal Amplitude ◽

Fixed Interval ◽

Interval Schedule ◽

Sensation Level ◽

Fixed Interval Schedule ◽

Auditory Evoked Responses ◽

Auditory Evoked Response ◽

Signal Presentation

Averaged auditory evoked responses to 1000-Hz 20-msec tone bursts were obtained from normal-hearing adults under two different intersignal interval schedules: (1) a fixed-interval schedule with 2-sec intersignal intervals, and (2) a variable-interval schedule of intersignal intervals ranging randomly from 1.0 sec to 4.5 sec with a mean of 2 sec. Peak-to-peak amplitudes (N 1 — P 2 ) as well as latencies of components P 1 , N 1 , P 2 , and N 2 were compared under the two different conditions of intersignal interval. No consistent or significant differences between variable- and fixed-interval schedules were found in the averaged responses to signals of either 20 dB SL or 50 dB SL. Neither were there significant schedule differences when 35 or 70 epochs were averaged per response. There were, however, significant effects due to signal amplitude and to the number of epochs averaged per response. Response amplitude increased and response latency decreased with sensation level of the tone burst.

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