Results 11 to 20 of about 91,967 (303)

Factorize Factorization

CoRR, 2020
Factorization -- a simple form of standardization -- is concerned with reduction strategies, i.e. how a result is computed. We present a new technique for proving factorization theorems for compound rewriting systems in a modular way, which is inspired by the Hindley-Rosen technique for confluence.
Accattoli, Beniamino, Faggian, Claudia, Guerrieri, Giulio   +2 more
openaire   +7 more sources

A method of factoring and the factorization of 𝐹₇ [PDF]

Mathematics of Computation, 1975
The continued fraction method for factoring integers, which was introduced by D. H. Lehmer and R. E. Powers, is discussed along with its computer implementation. The power of the method is demonstrated by the factorization of the seventh Fermat number
Morrison, Michael A., Brillhart, John
openaire   +2 more sources

Complete-factors and f-factors

Discrete Mathematics, 2000
Let \(G\) be a graph and \(F\) a spanning subgraph of \(G\) with at least two components and with all components complete. Let \(f\) be an integer-valued function defined on \(V(G)\) with \(\sum_{x \in V(G)} f(x)\) even. If for each component \(C\) of \(F\), \(G - V(C)\) has an \(f\)-factor (that is, a spanning subgraph \(H\) in which \(\deg_H(x) = f(x)
Hikoe Enomoto, Taro Tokuda
openaire   +2 more sources

Closed factorization [PDF]

Discrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golnaz Badkobeh, Hideo Bannai, Keisuke Goto 0001, Tomohiro I, Costas S. Iliopoulos, Shunsuke Inenaga, Simon J. Puglisi, Shiho Sugimoto   +7 more
openaire   +6 more sources

Directional clustering through matrix factorization [PDF]

, 2016
This paper deals with a clustering problem where feature vectors are clustered depending on the angle between feature vectors, that is, feature vectors are grouped together if they point roughly in the same direction.
Blumensath, Thomas
core   +1 more source

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

, 2005
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der, Petersen, Mark A., Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, Petersen, Mark A.,   +4 more
core   +2 more sources

Simultaneous non-negative matrix factorization for multiple large scale gene expression datasets in toxicology [PDF]

, 2012
Non-negative matrix factorization is a useful tool for reducing the dimension of large datasets. This work considers simultaneous non-negative matrix factorization of multiple sources of data.
Clare M. Lee, Vass J. Keith, D R Haggart, Lee Clare M., Mudaliar, MAV, Higham, Desmond, Vass, D.J., Manikhandan A V Mudaliar, Gino Miele, Mudaliar, Manikhandan A.V., Haggart, D. R., Mudaliar, M.A.V., Higham, Desmond J., Haggart D. R., Crowther, Daniel, D. R. Haggart, Lee, C.M., Lee, Clare M., Mudaliar Manikhandan A. V., J Keith Vass, Higham Desmond J., Wolf, C.R., Higham, D.J., Wolf C. Roland, Miele Gino, Mudaliar, Manikhandan A. V., Miele, Geno, Desmond J Higham, Clare M Lee, C. Roland Wolf, Miele, G., Manikhandan A. V. Mudaliar, C Roland Wolf, Crowther Daniel, Vass, J.K., Miele, Gino, J. Keith Vass, Crowther, D., Crowther, Daniel; id_orcid, Daniel Crowther, Vass, J. Keith, Desmond J. Higham, Haggart, D.R., Wolf, C. Roland, Lee, Clare   +44 more
core   +1 more source

Simultaneous non-negative matrix factorization for multiple large scale gene expression datasets in toxiciology [PDF]

, 2012
Non-negative matrix factorization is a useful tool for reducing the dimension of large datasets. This work considers simultaneous non-negative matrix factorization of multiple sources of data.
Mudaliar, Manikhandan A. V., Miele, Geno, Higham, Desmond J., Crowther, Daniel, Lee, Clare M., Vass, J. Keith, Haggart, D.R., Wolf, C. Roland   +7 more
core   +2 more sources

Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]

, 2007
A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
V. Daniele, G. Lombardi, Lombardi, Guido, Daniele, Vito   +3 more
core   +1 more source

Elementary theory of cubics and quartics

Lietuvos Matematikos Rinkinys, 2017
It is proved that cubic and quartic equations in real numbers can be solved elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented.
Juozas Juvencijus Mačys
doaj   +1 more source