Sentence examples for ordinary point of from inspiring English sources

under the assumption that x = 0 is an ordinary point of the associated homogeneous linear differential equation (1).

Since x = 0 is an ordinary point of (1), we remark that p 0 ≠ 0. In the following theorem, we solve the linear inhomogeneous differential equation of second order of the form p ( x ) y ″ ( x ) + q ( x ) y ′ ( x ) + r ( x ) y ( x ) = ∑ m = 0 ∞ a m x m (2).

Since x = 0 is an ordinary point of (1), we remark that p 0 ≠ 0. Theorem 3.2 Let { c m } be a sequence of complex numbers satisfying the recurrence relation (3) for all m ∈ N 0, where (b) is referred for the value of a m, and let ρ 2 be the radius of convergence of the power series ∑ m = 0 ∞ c m x m.

With respect to interface transfer and cross-transfer mobilities, the applicability of ordinary point quantities is, besides frequency, also dependent on the interface geometries as well as their relative, spatial locations.

In literature, no arbitrary method exists which gives complete explicit solutions for any f ( x ) for which there is a Taylor series solution as in the case of an ordinary point.

Ninety-five degree Celsius were chosen to stay below the ordinary boiling point of water.

Meanwhile, this study tries to illustrate the effects of some environmental factors, such as air pressure and density, wind speed and other similar factors in high-rise buildings, from architects and ordinary people׳s points of view and comparing these attitudes with each other in the case study.

The setting of A Doll's House is ordinary to the point of transparency.

From the ordinary foot soldiers' point of view, they had "seen the elephant," as the expression of the day went.

These color photographs -- many taken from the window of Mr. Reed's TriBeCa apartment -- are ordinary to the point of anonymity.

Some of their interactions, which mostly take place in a nonglamorous Paris and during a well-captured trip to the countryside, are ordinary to the point of tedium.