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The mode shape differential equation is linear with variable coefficients.
We then derive a sensitivity result, based on shape differential calculus, for the proximity.
The power series method is used to solve for the mode shape differential equations.
Forsgreater than 0, the mode shape differential equation is linear, fourth order with variable coefficients.
We use shape differential calculus to express variations of bulk and surface energies with respect to domain changes.
The general solution of the mode shape differential equation is expressed as the superposition of four converging polynomial functions.
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More recently, Williams and Collins (2001) have extended this argument, suggesting that race-based residential segregation is a fundamental factor influencing health disparities shaping differential access to multiple resources including but not limited to, education, income, and wealth necessary to maintain health.
This results in two non-homogeneous linear mode shape ordinary differential equations with four boundary, one discontinuity and three continuity conditions.
Given the non-symmetrical shape of differential scanning calorimetry (DSC) curves, it has been assumed that they would represent two independent reactions.
With increasing an electrolyte concentration the shape of differential capacitance curve changes from that with a minimum surrounded by maxima, through a plateau preceded by a single maximum into that of a distorted bell.
For numerical analysis of spectral lines' shape, all differential spectra of secondary electrons were integrated in an identical manner considering 1/E factor and subtractions of a general background distribution curve for inelastic electron scattering and Auger line shapes from direct spectra (i.e., SBL procedure) and using cos2 x extrapolation for component peaks in procedure of fitting.
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