arXiv subjects
Publications and source records attributed to Abdelmajid Ben Hadj Salem.
In 1859, Riemann had announced the following conjecture : the nontrivial roots (zeros) $s=α+iβ$ of the zeta function, defined by: $$ζ(s) =\displaystyle \sum_{n=1}^{+\infty}\frac{1}{n^s},\,\mbox{for}\quad \Re(s)>1$$ have real part $α= \displaystyle \frac{1}{2}$. We give a proof that $α= \displaystyle \frac{1}{2}$ using an equivalent statement of Riemann Hypothesis.
In an article, E. Grafarend and B. Schaffrin studied the geometry of non-linear adjustment of the planar trisection problem using the Gauss Markov model and the method of the least squares. This paper develops the same method working on an example of the determination of a point by trilateration in the three-dimensional geodetic option for determining the coordinates $(x, y, z)$ of an unknown point from measurements known distances to $n$ points.
It is a collection of problems and exercises of geodesy and the theory of errors.
It is a book on geodesy and the theory of errors for the students of the cycle of geomatics, surveying and mapping. The geometric and spatial aspects of geodesy are presented in the first part of the book. The second part is about the theory of errors. We give some elements of non-linear adjustment.
The paper presents the geometry of the non-linear least squares adjustment using the Palzan lemma.
The paper presents the determination of the seven parameters of the Bursa-Wolf Transformation between the geodetic systems
This note presents an application of the quasi-conform transformation in surveying.