From Molecule to Meaning: Click and Bioorthogonal Chemical Reporters for Plant Systems, Biological Imaging, and Artistic Expression. [PDF]
At the intersection of chemical biology, plant imaging, and contemporary art, this review introduces the concept of chembioart. By tracing how chemical reporters illuminate plant biomolecules in vivo, their role not only in advancing scientific understanding but also in inspiring transdisciplinary collaborations and visual expression is highlighted ...
Hinnebo M +4 more
europepmc +2 more sources
New Semi-Prime Factorization and Application in Large RSA Key Attacks
Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable. Further, this property has been applied in public-key cryptography, such as the Rivest–Shamir–Adleman (RSA) encryption systems for ...
Anthony Overmars +1 more
doaj +1 more source
An application of p-adic Baker method to a special case of Jeśmanowicz' conjecture
In 1956, Jeśmanowicz conjectured that, for any positive integer $ n $, the Diophantine equation $ \left((f^{2}-g^{2})n\right)^{x}+\left((2fg)n\right)^{y} = \left((f^{2}+g^{2})n\right)^z $ has only the positive integral solution $ (x, y, z) = (2, 2, 2) $,
Ziyu Dong, Zhengjun Zhao
doaj +1 more source
Pythagorean Isoparametric Hypersurfaces in Riemannian and Lorentzian Space Forms
We introduce the notion of a Pythagorean hypersurface immersed into an n+1-dimensional pseudo-Riemannian space form of constant sectional curvature c∈−1,0,1.
Muhittin Evren Aydın +2 more
doaj +1 more source
Role of preoperative transarterial chemoembolization (TACE) in intermediate-stage hepatocellular carcinoma (Hong Kong liver cancer stage IIB). [PDF]
Abstract Introduction Transarterial chemoembolization (TACE) has an established role in advanced HCC. The present study evaluates the role of TACE as a neoadjuvant modality in the management of intermediate HCC [Hong Kong Liver Cancer (HKLC) stage IIB].
Nandy K +8 more
europepmc +2 more sources
Incremental and Transitive Discrete Rotations [PDF]
A discrete rotation algorithm can be apprehended as a parametric application $f\_\alpha$ from $\ZZ[i]$ to $\ZZ[i]$, whose resulting permutation ``looks like'' the map induced by an Euclidean rotation.
A. Amir +5 more
core +4 more sources
Interval-valued Pythagorean fuzzy sets (PFSs), as an extension of PFSs, have strong potential in the management of complex uncertainty in real-world applications.
Yi Yang +3 more
doaj +1 more source
An Extended Kannan Contraction Mapping and Applications [PDF]
We extend the Kannan contraction principle and obtain a result that holds for both contractive and non-expansive mappings. Such mappings admit multiple fixed-points and the fixed-point sets and domains of these mappings display interesting algebraic ...
R. P. Pant
doaj +1 more source
Generalized Pythagorean Triples and Pythagorean Triple Preserving Matrices
Traditionally, Pythagorean triples (PT) consist of three positive integers, $(x, y, z) \in \mathbb{Z}^3_+$, such that $x^2 + y^2 = z^2$, and Pythagorean triple preserving matrices (PTPM) $A$ are $3 \times 3$ matrices with entries in the real numbers $\R$, such that the product $(x, y, z)A$ is also a Pythagorean triple.
Tikoo, Mohan, Wang, Haohao
openaire +2 more sources
3D investigation and modeling of the geometric effects on porosity in packed beds
Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach +3 more
wiley +1 more source

