Sentence examples for the same simplex from inspiring English sources

The final vertices must belong to the same edge (in the book, to the same simplex of an arbitrary complex).

Similarly, the space (|{mathcal {I}} |) consists of the points where the vertices of ({mathcal {I}}) are placed in Euclidean space, and linear subspaces spanned by vertices belonging to the same simplex σ of ({mathcal {I}}).

The maximum of this rough map was then used as the initial point to maximize the likelihood using the same simplex algorithm used for parameter optimization [ 44].

The default fitting method (Levenberg-Marquardt) is not well suited for use with the Cash statistic, so we choose to use the Simplex optimizer instead (the NelderMead method is the same as simplex).

For sake of comparison we used the same Nelder Mead simplex algorithm (see [ 18, 19]) for both optimization problems.

The APC-MPO connector manufactured based on the proposed design had low insertion losses of less than 0.25 dB at the same level of simplex connectors and the higher level of return losses higher than 65 dB.

We use the same Nelder-Mead simplex algorithm (see [ 18, 19]) to solve the optimization problem for the integro-differential method and for the method proposed in this paper.

Herpes zoster is not the same disease as herpes simplex, despite the name similarity; both the varicella zoster virus and herpes simplex virus belong to the same viral subfamily Alphaherpesvirinae.

Two additional reports include a case of Pityriasis versicolor (tinea versicolor) found on p. 41, which gives the reader references to other atlases picturing the same disease, and Molluscum simplex seu fibrosum (Neurofibromatosis), on p. 58-60.

Namely, while in a colorless task, robots can always adopt each other outputs (δ can send simplexes to lower dimensional output simplexes), this is not possible in general tasks (δ sends a final state's algorithm simplex to an output simplex of the same dimension).

This triangulation defines a simplicial mesh M which is obtained by replacing each spherical simplex with the corresponding Euclidean simplex having the same vertices.