Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Grinberg, P. L."'
Autor:
Grinberg, Eric L.
Reopening a cold case, inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. Bu
Externí odkaz:
http://arxiv.org/abs/2101.08866
Autor:
Grinberg, Eric L.
Using a left-to-right "sweeping" algorithm, we define the \emph{Gauche basis} for the column space of a matrix $M$. By means of the Gauche basis we interpret the row reduced echelon form of $M$, and give a direct proof of its uniqueness. We conclude
Externí odkaz:
http://arxiv.org/abs/2005.06275
Autor:
Grinberg, Eric L., Orhon, Mehmet
We invoke the Law of Sines to prove Morley's Trisector Theorem. Though the sinusoidal function appears, the proof is safe for the trigonometrically distanced.
Comment: 5 pages,5 figures; improved readability of labels; references added
Comment: 5 pages,5 figures; improved readability of labels; references added
Externí odkaz:
http://arxiv.org/abs/2003.10438
Autor:
Grinberg, Eric L.
Publikováno v:
Published: (2012) In: Sabadini I., Struppa D. (eds) The Mathematical Legacy of Leon Ehrenpreis. Springer Proc in Math, vol 16
We consider the Radon transform along lines in an $n$ dimensional vector space over the two element field. It is well known that this transform is injective and highly overdetermined. We classify the minimal collections of lines for which the restric
Externí odkaz:
http://arxiv.org/abs/1907.04200
Autor:
Grinberg, Eric L., Orhon, Mehmet
We consider a finite field model of the X-ray transform that integrates functions along lines in dimension 3, within the context of finite fields. The admissibility problem asks for minimal sets of lines for which the restricted transform is invertib
Externí odkaz:
http://arxiv.org/abs/1907.00280
Autor:
Feldman, David V., Grinberg, Eric L.
We consider the X-ray transform in a projective space over a finite field. It is well known (after E. Bolker) that this transform is injective. We formulate an analog of I.M. Gelfand's admissibility problem for the Radon transform, which asks for a c
Externí odkaz:
http://arxiv.org/abs/1707.06695
Autor:
Grinberg, Eric L.
We consider the problem of comparing the volumes of two star bodies in an even-dimensional euclidean space $\mathbb R^{2n} = \mathbb C^n$ by comparing their cross sectional areas along complex lines (special 2-dimensional real planes) through the ori
Externí odkaz:
http://arxiv.org/abs/1701.02237
Let $M$ be a Riemannian globally symmetric space of compact type, $M'$ its set of maximal flat totally geodesic tori, and $\mathrm{ad}(M)$ its adjoint space. We show that the kernel of the maximal flat Radon transform $\tau:L^2(M) \rightarrow L^2(M')
Externí odkaz:
http://arxiv.org/abs/1406.7219
Publikováno v:
Bìznes Inform, Vol 5, Iss 496, Pp 92-97 (2019)
The main aim of the study is to analyze the procedure for constructing differential equations used to model macroeconomic processes. The correctness of the model of economic growth in differential form is investigated. The inadequacy of the exponenti
Externí odkaz:
https://doaj.org/article/1e61fa4f0dbf4bdd92eec9735e9441ee
Autor:
Grinberg, Eric L., Haizhong, Li
In 1963, K.P.Grotemeyer proved an interesting variant of the Gauss-Bonnet Theorem. Let M be an oriented closed surface in the Euclidean space R^3 with Euler characteristic \chi(M), Gauss curvature G and unit normal vector field n. Grotemeyer's identi
Externí odkaz:
http://arxiv.org/abs/0707.1860