Results 11 to 20 of about 15,352,997 (261)

On Geometric Characteristics of an n-Dimensional Simplex

Моделирование и анализ информационных систем, 2011
We prove and discuss some propositions for geometric characteristics of an n-dimensional simplex. Also we note the connection with linear interpolation on the cube [0; 1]^n.
M. V. Nevskii
doaj   +1 more source

Coordinate Permutation-Invariant Unit N-Simplexes in N-dimensional Euclidean Space

, 2021
This article gives two different mathematical constructions of coordinate permutation invariant unit N-simplexes in N-dimensional space. The firrst construction method involves translation followed by rotation in N +1-dimensionalspace, while the second requires only a single translation in N-dimensional space.
Thron, Christopher, Anderson, Gwenda
openaire   +2 more sources

Herpes simplex virus interferes with amyloid precursor protein processing. [PDF]

, 2005
Background The early events underlying Alzheimer's disease (AD) remain uncertain, although environmental factors may be involved. Work in this laboratory has shown that the combination of herpes simplex virus type 1 (HSV1) in brain and carriage of the ...
Shipley, Suzanne J., Parkin, Edward T., Dobson, Curtis B., Itzhaki, Ruth F.   +3 more
core   +6 more sources

An investigation of pricing strategies within simplex [PDF]

, 1987
The PRICE step within the revised simplex method for the LP problems is considered in this report. Established strategies which have proven to be computationally efficient are first reviewed.
Mitra, G, Tamiz, M, Mehrdad Tamiz, Ivonia Rebelo, Gautam Mitra, Rebelo, I   +5 more
core   +6 more sources

On Some Problems for a Simplex and a Ball in Rⁿ

Моделирование и анализ информационных систем, 2018
Let \(C\) be a convex body and let \(S\) be a nondegenerate simplex in \({\mathbb R}^n\). Denote by \(\tau S\) the image of \(S\) under homothety with a center of homothety in the center of gravity of \(S\) and the ratio \(\tau\). We mean by \(\xi(C;S)\)
Mikhail V. Nevskii
doaj   +1 more source

A simple scheme for unmixing hyperspectral data based on the geometry of the N-dimensional simplex [PDF]

2010 IEEE International Geoscience and Remote Sensing Symposium, 2010
In this paper, we study the problem of decomposing spectra in hyperspectral data into the sum of pure spectra, or endmembers. We propose to jointly extract the endmembers and estimate the corresponding fractions, or abundances. For this purpose, we show that these abundances can be easily computed using volume of simplices, from the same information ...
Honeine, Paul, Richard, Cédric
openaire   +3 more sources

A tail-like assembly at the portal vertex in intact herpes simplex type-1 virions [PDF]

, 2012
Herpes viruses are prevalent and well characterized human pathogens. Despite extensive study, much remains to be learned about the structure of the genome packaging and release machinery in the capsids of these large and complex double-stranded DNA ...
Rixon Frazer J., Schmid Michael F., Rixon, Frazer J., Bhella David, David Bhella, Ryan H. Rochat (129683), Hecksel, Corey W., Rochat, Ryan H., Hecksel Corey W., Chiu Wah, Bhella, David, Chiu, Wah, Wah Chiu, Michael F. Schmid (129681), Michael F Schmid, Rochat Ryan H., Corey W Hecksel, Schmid, Michael F., David Bhella (129684), Frazer J. Rixon (129686), Frazer J Rixon, Corey W. Hecksel (129682), Ryan H Rochat, Wah Chiu (129685)   +23 more
core   +1 more source

Linear Interpolation on a Euclidean Ball in Rⁿ

Моделирование и анализ информационных систем, 2019
For \(x^{(0)}\in{\mathbb R}^n, R>0\), by \(B=B(x^{(0)};R)\) we denote a Euclidean ball in \({\mathbb R}^n\) given by the inequality \(\|x-x^{(0)}\|\leq R\), \(\|x\|:=\left(\sum_{i=1}^n x_i^2\right)^{1/2}\). Put \(B_n:=B(0,1)\). We mean by \(C(B)\) the
Mikhail V. Nevskii, Alexey Yu. Ukhalov
doaj   +1 more source

On Optimal Interpolation by Linear Functions on an n-Dimensional Cube

Моделирование и анализ информационных систем, 2018
Let \(n\in{\mathbb N}\), and let \(Q_n\) be the unit cube \([0,1]^n\). By \(C(Q_n)\) we denote the space of continuous functions \(f:Q_n\to{\mathbb R}\) with the norm \(\|f\|_{C(Q_n)}:=\max\limits_{x\in Q_n}|f(x)|,\) by \(\Pi_1\left({\mathbb R}^n\right)\)
Mikhail V. Nevskii, Alexey Yu. Ukhalov
doaj   +1 more source

N-Dimensional Principal Component Analysis [PDF]

, 2010
In this paper, we first briefly introduce the multidimensional Principal Component Analysis (PCA) techniques, and then amend our previous N-dimensional PCA (ND-PCA) scheme by introducing multidirectional decomposition into ND-PCA implementation.
Yu, Hongchuan
core   +8 more sources