A novel approach to deriving closed form expressions for frequency stability variance measures

1988 ◽  
Vol 37 (2) ◽  
pp. 231-239 ◽  
Author(s):  
G.A. Kalivas ◽  
R.G. Harison
2011 ◽  
Vol 66-68 ◽  
pp. 413-418 ◽  
Author(s):  
Jie Liu ◽  
Jin Xiong Zhou

A novel approach is presented to solve the propagation of Lamb wave in a pre-stressed plate with finite thickness, where the commonly used Helmholtz decomposition method fails to find the solution. By using the proposed approach, some important relations of Lamb wave such as the dispersion relation can be obtained and analyzed in closed form, and the effects of initial stress are discussed in details. The method presented herein can be developed further to study the mechanical behaviors of other surface wave acoustic devices.


Author(s):  
Reza Saeidpourazar ◽  
Nader Jalili

This paper presents a closed-form distributed-parameters based modeling framework for a piezoresistive microcantilever. Due to the variety of applications in biological and material science technologies, microcantilevers have recently received widespread attention. Due to their extreme sensitivity and simplicity, piezoresistive microcantilevers are widely used in variety of sensing applications; however, most of the current studies focus on a simple lumped-parameters modeling rather than modeling of the piezoresistive microcantilevers itself. Due to the applications of the piezoresistive microcantilevers in nanoscale force sensing or non-contact Atomic Force Microscopy (AFM), which are involved with the forces in the range of nano-Newton to pico-Newton, precise modeling of the piezoresistive microcantilevers is essential. Instead of the previously used lumped-parameters modeling, a distributed-parameters modeling is proposed and developed here to achieve the most precise model of the piezoresistive microcantilever with tip-mass, tip-force and base movement. In order to utilize online control and real-time sensor feedback, there is a need to have a closed-form relationship between microcantilever’s piezoresistive output voltage as a function of tip force and the base motion. To achieve this, utilizing a novel approach a closed-form modeling framework for the piezoresistive microcantilever is presented. Following the mathematical modeling, simulation results are presented to show the accuracy of the proposed distributed-parameters modeling when compared with the previously reported lumped-parameters modeling approach.


2017 ◽  
Vol 13 (04) ◽  
pp. 885-911 ◽  
Author(s):  
Paul L. Butzer ◽  
Tibor K. Pogány

This paper is concerned with new results for the circular Eisenstein series [Formula: see text] as well as with a novel approach to Hilbert–Eisenstein series [Formula: see text], introduced by Michael Hauss in 1995. The latter turns out to be the product of the hyperbolic sinh function with an explicit closed form linear combination of digamma functions. The results, which include differentiability properties and integral representations, are established by independent and different argumentations. Highlights are new results on the Butzer–Flocke–Hauss Omega function, one basis for the study of Hilbert–Eisenstein series, which have been the subject of several recent papers.


2019 ◽  
Vol 13 (4) ◽  
pp. 251-254
Author(s):  
Heorhiy Sulym ◽  
Nataliia Ilchuk ◽  
Iaroslav Pasternak

Abstract The paper presents a novel approach for the analysis of steady-state heat conduction of solids containing perfectly conductive thread-like inhomogeneities. Modelling of a thread-like heat conductive inhomogeneity is reduced to determination of density of heat distributed along a spatial curve, which replaces the inclusion. Corresponding boundary integral equations are obtained for anisotropic solids with thread-like inclusions. Non-integral terms are computed in a closed form. It is shown that, nevertheless the singularity of the equation is 1/r, it is hypersingular, since the kernel is symmetric. Boundary element approach is adopted for solution of the obtained equations. Numerical example is presented for a rectilinear conductive thread, which verifies derived boundary integral equations.


2001 ◽  
Author(s):  
Zhiming Ji ◽  
Maximilian Rodriguez

Abstract A novel approach is developed for identifying both the position and orientation of the base joints of modular platform manipulators. This new approach first establishes a spherical triangle to isolate and solve for one of the unknown placement parameters. With the reduced complexity, a closed-form formulation is then developed for the remaining unknown parameters through Dialytic Elimination for two identification poses. The identification process with the presented method is illustrated with a numerical example.


2006 ◽  
Vol 21 (10) ◽  
pp. 821-830 ◽  
Author(s):  
PRADIP MUKHERJEE ◽  
ANIRBAN SAHA

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg–Witten map which is exact in the noncommutative parameter.


IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 124410-124416
Author(s):  
Zeshan Zulifqar ◽  
Azad Akhter Siddiqui ◽  
Meraj Mustafa Hashmi

2019 ◽  
Vol 476 (24) ◽  
pp. 3705-3719 ◽  
Author(s):  
Avani Vyas ◽  
Umamaheswar Duvvuri ◽  
Kirill Kiselyov

Platinum-containing drugs such as cisplatin and carboplatin are routinely used for the treatment of many solid tumors including squamous cell carcinoma of the head and neck (SCCHN). However, SCCHN resistance to platinum compounds is well documented. The resistance to platinum has been linked to the activity of divalent transporter ATP7B, which pumps platinum from the cytoplasm into lysosomes, decreasing its concentration in the cytoplasm. Several cancer models show increased expression of ATP7B; however, the reason for such an increase is not known. Here we show a strong positive correlation between mRNA levels of TMEM16A and ATP7B in human SCCHN tumors. TMEM16A overexpression and depletion in SCCHN cell lines caused parallel changes in the ATP7B mRNA levels. The ATP7B increase in TMEM16A-overexpressing cells was reversed by suppression of NADPH oxidase 2 (NOX2), by the antioxidant N-Acetyl-Cysteine (NAC) and by copper chelation using cuprizone and bathocuproine sulphonate (BCS). Pretreatment with either chelator significantly increased cisplatin's sensitivity, particularly in the context of TMEM16A overexpression. We propose that increased oxidative stress in TMEM16A-overexpressing cells liberates the chelated copper in the cytoplasm, leading to the transcriptional activation of ATP7B expression. This, in turn, decreases the efficacy of platinum compounds by promoting their vesicular sequestration. We think that such a new explanation of the mechanism of SCCHN tumors’ platinum resistance identifies novel approach to treating these tumors.


2020 ◽  
Vol 51 (3) ◽  
pp. 544-560 ◽  
Author(s):  
Kimberly A. Murphy ◽  
Emily A. Diehm

Purpose Morphological interventions promote gains in morphological knowledge and in other oral and written language skills (e.g., phonological awareness, vocabulary, reading, and spelling), yet we have a limited understanding of critical intervention features. In this clinical focus article, we describe a relatively novel approach to teaching morphology that considers its role as the key organizing principle of English orthography. We also present a clinical example of such an intervention delivered during a summer camp at a university speech and hearing clinic. Method Graduate speech-language pathology students provided a 6-week morphology-focused orthographic intervention to children in first through fourth grade ( n = 10) who demonstrated word-level reading and spelling difficulties. The intervention focused children's attention on morphological families, teaching how morphology is interrelated with phonology and etymology in English orthography. Results Comparing pre- and posttest scores, children demonstrated improvement in reading and/or spelling abilities, with the largest gains observed in spelling affixes within polymorphemic words. Children and their caregivers reacted positively to the intervention. Therefore, data from the camp offer preliminary support for teaching morphology within the context of written words, and the intervention appears to be a feasible approach for simultaneously increasing morphological knowledge, reading, and spelling. Conclusion Children with word-level reading and spelling difficulties may benefit from a morphology-focused orthographic intervention, such as the one described here. Research on the approach is warranted, and clinicians are encouraged to explore its possible effectiveness in their practice. Supplemental Material https://doi.org/10.23641/asha.12290687


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