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Darfur, in short, has shown that there is a great difference between gaining acceptance for a working theory and making the theory work.
The conditions of zero transverse shear stress at the top and bottom and its continuity at the layer interfaces are subsequently enforced to make the number of primary unknowns independent of the number of layers, thereby making the theory as efficient as the first-order shear deformation theory (FSDT).
Both of these applications illustrate the efficiency and accuracy of the LEHT in generating effective properties and local stress distributions, making the theory a golden standard in validating other analytical or numerical techniques as well as a reliable tool in composite design and practice for professionals and non-professionals alike.
(1) A first key issue was making the theory apply to Schrödinger operators, (H_0=-Delta, H=-Delta +V) on (L^2({mathbb {R}}^nu )).
A first key issue was making the theory apply to Schrödinger operators, (H_0=-Delta, H=-Delta +V) on (L^2({mathbb {R}}^nu )).
Innovation projects can construct a general theory of change but the assumptions are more conjectural, making the theory much more like a hypothesis" (Obrecht 2017).
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That made the theory more plausible.
Physicists struggled for more than a decade to find revisions that would make the theory work.
His theory eventually made the theory of equations into a mere part of the theory of groups.
The simplicity of many of the final results makes the theory useful in many applications.
In practice this makes the theory much easier to use compared to Pohlhausen's polynomial approximations.
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