Results 111 to 120 of about 4,801,130 (303)

On the numerical ranges of matrix products

open access: yesApplied Mathematics Letters, 2010
Let \(M_n\) denote the space of complex \(n\times n\) matrices, and let~\(A,B,C\in M_n\). The \(C\)-numerical range of~\(A\) is defined by \(W_C(A)=\{\mathrm{tr}\,(CU^*AU):\,U\in M_n\, \mathrm{is\,unitary}\}\). The authors study the equation (1)~\(W_C(AB)=W_C(BA)\). First, they prove this if \(A\) and \(B\) are symmetric and \(C\) is normal.
Mao-Ting Chien   +2 more
openaire   +3 more sources

Variational matrix product states for combinatorial optimization

open access: yesPhysical Review Research
To compute approximate solutions for combinatorial optimization problems, we describe variational methods based on the product state (PS) and matrix product state (MPS) ansätze.
Guillermo Preisser   +2 more
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

open access: yesMolecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur   +11 more
wiley   +1 more source

Thermoplastic matrix towpreg production

open access: yesAdvances in Polymer Technology, 2010
AbstractThis work was carried out to establish the processing window for the cost‐efficient production of thermoplastic matrix towpregs with a recently developed powder‐coating equipment. Three different fiber‐reinforced thermoplastic matrix systems were studied: one for highly demanding markets (carbon fiber/Primospire™) and other two for commercial ...
Silva, J. F.   +4 more
openaire   +2 more sources

Inhibition of cyclin‐dependent kinases 12/13 using CT7439 as a treatment for colorectal cancer with CDK12 upregulation

open access: yesMolecular Oncology, EarlyView.
The proposed mechanism of action for the CDK12/13 inhibitor and cyclin K degrader, CT7439. CDK12/13 inhibition interrupts transcription elongation, leading to increased DNA damage that results in cell death. This agent is a potentially novel treatment option for patients with colorectal cancer. Created in BioRender. Cyclin‐dependent kinase (CDK) 12 and
Wylie K. Watlington   +10 more
wiley   +1 more source

Transfer matrices and excitations with matrix product states

open access: yesNew Journal of Physics, 2015
We use the formalism of tensor network states to investigate the relation between static correlation functions in the ground state of local quantum many-body Hamiltonians and the dispersion relations of the corresponding low-energy excitations.
V Zauner   +8 more
doaj   +1 more source

Single‐cell DNA methylation profiling: Technologies, computation, and applications in precision oncology

open access: yesMolecular Oncology, EarlyView.
Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley   +1 more source

On matrix product factorization of graphs

open access: yesJournal of Algebraic Combinatorics
In this paper, we explore the concept of the ``matrix product of graphs," initially introduced by Prasad, Sudhakara, Sujatha, and M. Vinay. This operation involves the multiplication of adjacency matrices of two graphs with assigned labels, resulting in a weighted digraph.
Maghsoudi, Farzad   +2 more
openaire   +3 more sources

Simplified State Interaction for Matrix Product State Wave Functions. [PDF]

open access: yesJ Chem Theory Comput, 2021
Freitag L   +3 more
europepmc   +1 more source

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