Results 91 to 100 of about 150,415 (331)
ELECTROPHORESIS, EarlyView.ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley +1 more source
Compactness of commutators of fractional integral operators on ball Banach function spaces
AIMS MathematicsLet $ 0 < \alpha < n $ and $ b $ be a locally integrable function. In this paper, we obtain the characterization of compactness of the iterated commutator $ (T_{\Omega, \alpha})_{b}^{m} $ generated by the function $ b $ and the fractional integral ...
Heng Yang, Jiang Zhou
doaj +1 more source
Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators
Communications in Advanced Mathematical Sciences, 2019 Let $A$ and $B$ be linear operators on a Hilbert space. Let $A$ and $A+B$ generate $C_0$-semigroups $e^{tA}$ and $e^{t(A+B)}$, respectively, and $e^{tA}$ be exponentially stable.
Michael Gil'
doaj +1 more source
IEEE Transactions on Circuits and Systems - II - Express Briefs, 2016 This brief presents a new type of fast Fourier transform (FFT) hardware architectures called serial commutator (SC) FFT. The SC FFT is characterized by the use of circuits for bit-dimension permutation of serial data. The proposed architectures are based
M. Garrido +3 more
semanticscholar +1 more source
Exploration, EarlyView.Traditional neuromodulation using rigid electrodes has been limited by low precision, large stimulating currents, and the risk of tissue damage. In this work, we developed a biocompatible flexible electrode array that allows for both neural recording of spike firings and high‐precision, low‐threshold stimulation for neuromodulation.
Yifei Ye +16 more
wiley +1 more source
Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq $). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq $? A theorem of H. Lin shows that this is uniformly true, in that for every $ >0$ there exists a $ >0$, independent of the size $N$ of the matrices ...
openaire +3 more sources
On the pre-commutative envelopes of commutative algebras [PDF]
Journal of Algebra and its Applications, 2024We prove that every nilpotent commutative algebra can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional algebras, the nilpotency condition is necessary for a commutative algebra to have a pre-commutative envelope.
arxiv +1 more source
Commutative Quaternion Matrices [PDF]
, 2013 In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices. After that we investigate commutative quaternion matrices using properties of complex matrices.
arxiv +1 more source
Convergence of commutator of linear integral operators with separable kernel representing monomial covariance type commutation relations in $L_p$ [PDF]
arXiv, 2023 Representations by linear integral operators on $L_p$ spaces over measure spaces are investigated for the polynomial covariance type commutation relations and more general two-sided generalizations of covariance commutation relations extending simultaneously the covariance and the reciprocal covariance type commutation relations.
arxiv
Gravity from a Modified Commutator
, 2005 We show that a suitably chosen position-momentum commutator can elegantly describe many features of gravity, including the IR/UV correspondence and dimensional reduction (`holography').
Jackson, Mark G.
core +1 more source