Efficient Reduction of Polynomial Zero-One Optimization to the Quadratic Case

Many studies have linked reactive oxygen species (ROS) to various diseases. Biomedical research has therefore sought a way to control and regulate ROS produced in biological systems. In recent years, cerium oxide nanoparticles (nanoceria, CNPs) have been pursued due to their ability to act as regenerative ROS scavengers. In particular, they are shown to have either superoxide dismutase (SOD) or catalase mimetic (CAT) potential depending on the ratio of Ce3+/Ce4+ valence states. Moreover, it has been demonstrated that SOD mimetic activity can be diminished by the presence of phosphate, which can be a problem given that many biological systems operate in a phosphate-rich environment. Herein, we report a CNP formulation with both SOD and catalase mimetic activity that is preserved in a phosphate-rich media. Characterization demonstrated a highly dispersed, stable solution of uniform-sized, spherical-elliptical shaped CNP of 12 ± 2 nm, as determined through dynamic light scattering, zeta potential, and transmission electron microscopy. Mixed valence states of Ce ions were observed via UV/Visible spectroscopy and XPS (Ce3+/Ce4+ > 1) (Ce3+∼ 62%). X-ray diffraction and XPS confirmed the presence of oxygen-deficient cerium oxide (CeO2-x) particles. Finally, the CNP demonstrated very good biocompatibility and efficient reduction of hydrogen peroxide under in-vitro conditions.

SCARFS, an efficient polynomial zero-finder system

Proceedings of the international conference on APL - APL '93 ◽

10.1145/166197.166204 ◽

1993 ◽

Author(s):

Tien Chi Chen

Keyword(s):

Polynomial Zero

Intense Visible-Light Absorption in SrRuO3/C3N4 Heterostructures for the Highly Efficient Reduction of Hg(II)

ACS Omega ◽

10.1021/acsomega.1c01969 ◽

2021 ◽

Author(s):

Soha M. Albukhari ◽

Hind Alshaikh ◽

M. H. H. Mahmoud ◽

Adel. A. Ismail

Keyword(s):

Visible Light ◽

Light Absorption ◽

Visible Light Absorption ◽

Highly Efficient ◽

Efficient Reduction

Nickel Nanoparticles with Narrow Size Distribution Confined in Nitrogen-Doped Carbon for Efficient Reduction of CO2 to CO

Catalysis Letters ◽

10.1007/s10562-021-03662-0 ◽

2021 ◽

Author(s):

Jiejing Huang ◽

Shixia Chen ◽

Fangqi Yang ◽

Weikang Yu ◽

Qiangguo Meng ◽

...

Keyword(s):

Size Distribution ◽

Nickel Nanoparticles ◽

Narrow Size Distribution ◽

Nitrogen Doped ◽

Efficient Reduction ◽

Reduction Of Co2 ◽

Nitrogen Doped Carbon

Can we Beat the Square Root Bound for ECDLP over 𝔽p2 via Representation?

Journal of Mathematical Cryptology ◽

10.1515/jmc-2019-0025 ◽

2020 ◽

Vol 14 (1) ◽

pp. 293-306

Author(s):

Claire Delaplace ◽

Alexander May

Keyword(s):

Elliptic Curve ◽

Quadratic Field ◽

Discrete Logarithm ◽

Field Size ◽

Square Root ◽

Multivariate Polynomial ◽

Bivariate Polynomial ◽

Testing Problem ◽

Polynomial Zero ◽

Representation Technique

AbstractWe give a 4-list algorithm for solving the Elliptic Curve Discrete Logarithm (ECDLP) over some quadratic field 𝔽p2. Using the representation technique, we reduce ECDLP to a multivariate polynomial zero testing problem. Our solution of this problem using bivariate polynomial multi-evaluation yields a p1.314-algorithm for ECDLP. While this is inferior to Pollard’s Rho algorithm with square root (in the field size) complexity 𝓞(p), it still has the potential to open a path to an o(p)-algorithm for ECDLP, since all involved lists are of size as small as $\begin{array}{} p^{\frac 3 4}, \end{array}$ only their computation is yet too costly.

Systematic Approach to Measuring ILI Tool Performance

Volume 2: Pipeline Integrity Management ◽

10.1115/ipc2014-33489 ◽

2014 ◽

Author(s):

Sean Keane ◽

Karmun Cheng ◽

Kaitlyn Korol

Keyword(s):

Performance Measurement ◽

Performance Measures ◽

New Technologies ◽

Efficient Reduction ◽

Tool Performance ◽

Typical Performance ◽

Substantial Investment ◽

Integrity Management ◽

Insight Into

In-line inspection (ILI) tools play an important role within integrity management and substantial investment is made to continuously advance performance of the existing technologies and, where necessary, to develop new technologies. Performance measurement is typically focused for the purpose of understanding the measured performance in relation to the ILI vendor specification and for the determination of residual uncertainty regarding pipeline integrity. These performance measures may not provide the necessary insight into what type of investment into a technology is necessary to further reduce residual uncertainty regarding pipeline integrity, and beyond that, what investment, as an operator, results in an effective and efficient reduction in uncertainty. The paper proposes a reliability based approach for investigating uncertainty associated with ultrasonic crack ILI technology for the purpose of identifying efficient investment into the technology that results in an effective and measurable improvement. Typical performance measures and novel performance measurement methods are presented and reviewed with respect to what information they can provide to assist in investment decisions. Finally, general observations are made regarding Enbridge’s experience using ultrasonic crack ILI technology and areas currently being investigated.

Highly efficient reduction of 4-nitrophenol by heterostructured gold-magnetite nanocatalysts

Applied Catalysis A General ◽

10.1016/j.apcata.2014.08.013 ◽

2014 ◽

Vol 486 ◽

pp. 32-41 ◽

Cited By ~ 83

Author(s):

Fang-hsin Lin ◽

Ruey-an Doong

Keyword(s):

Highly Efficient ◽

Efficient Reduction