Sentence examples for in a close form from inspiring English sources

The first part of the new method is the same as the current RTS method in principle, but its calculation procedure is simplified by the derived equations in a close form.

In paper I of this series, the coherency strain energy associated with nucleus formation in an elastically anisotropic crystal of an arbitrary pre-existing microstructure was presented in a close form as a linear function of the nucleus volume, which can be incorporated directly into the classical nucleation theory.

The presented studies cover the mechanical behavior of nanotubes, both theoretically and experimentally which allowed a realistic prediction of the mechanical behavior of defected tubes in a closer form to those found in reality.

The resulting non-linear algebraic equations are solved by using a direct Newton-Raphson technique, in which a closed form Jacobian matrix is computed using frequency domain methods.

The objective of this study is to provide a fast and accurate method of predicting the web crippling strength of cold-formed steel sheetings and to introduce this in a closed-form solution which has not been obtained so far.

A plastic-hinge mechanism is developed that results in a closed-form expression and illustrates the post-buckling response of the cylinder in an approximate manner.

The dynamic response of an infinite Euler Bernoulli beam resting on Pasternak foundation under inclined harmonic line loads is developed in this study in a closed-form solution.

Our model allows for multiple enzymes and co-substrates, and results in a closed-form analytical expression for the steady-state current response of the disk ultramicroelectrode.

In another method called multi-bit flip-flops, the covering problem is easily solvable in a closed-form, required only sorting.

The system spectral properties characterizing the free undamped dynamics are obtained in a closed-form fashion for shallow cables within the low frequency range.

The spectral properties characterizing the free dynamics are obtained in a closed-form fashion for shallow parabolic cables within the low frequency vibration range.