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THE FIRST EULERIAN INTEGRAL

open access: yesTHE FIRST EULERIAN INTEGRAL
openaire  

Analyzing the effect of osteoporosis drug treatments on femoral strength using 3D-DXA finite elements modelling.

open access: yesJ Clin Densitom
Ruiz Wills C   +6 more
europepmc   +1 more source

Elliptic Integrals of the First Kind

SIAM Journal on Mathematical Analysis, 1977
The reciprocal square root of any real polynomial with known zeros and degree not exceeding four is integrated in terms of a standard integral by a new quadratic transformation which preserves symmetry in the zeros. If at least one zero is real, this method, unlike earlier methods, leads to a single standard integral instead of a difference of two ...
openaire   +1 more source

On an integral equation of first kind

Siberian Mathematical Journal, 1991
In \(\mathbb{R}^3\) the family \(\Gamma\) of straight lines \(\xi_1 = x_1 + (\xi_3 - x_3) \cos \alpha\), \(\xi_2 = x_2 + (\xi_3 - x_3) \sin \alpha\), \(0 \leq \alpha \leq 2 \pi\), passing through the point \(x = (x_1, x_2, x_3)\), and the equation \[ \int_\Gamma u(\xi)d \ell + \int_{\mathbb{R}^3} \theta (k) \rho (\alpha, x, \xi) u(\xi)d \xi = v(x ...
openaire   +3 more sources

Integration of first- and second-order orientation

Journal of the Optical Society of America A, 2003
The problem of how visual information such as orientation is combined across space bears on key visual abiities, such as texture perception. Orientation signals can be derived from both luminance and contrast, but it is not well understood how such information is pooled or how these different orientation signals interact in the integration process.
Harriet A, Allen   +3 more
openaire   +2 more sources

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