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Is life physicochemically unique? No. Is life unique? Yes. Life manifests innumerable formalisms that cannot be generated or explained by physicodynamics alone. Life pursues thousands of biofunctional goals, not the least of which is staying alive. Neither physicodynamics, nor evolution, pursue goals.
openaire +4 more sources
The Lasso Problem and Uniqueness [PDF]
The lasso is a popular tool for sparse linear regression, especially for problems in which the number of variables p exceeds the number of observations n.
R. Tibshirani
semanticscholar +1 more source
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness [PDF]
In this paper linear stochastic transport and continuity equations with drift in critical $L^{p}$ spaces are considered. In this situation noise prevents shocks for the transport equation and singularities in the density for the continuity equation ...
Lisa Beck +3 more
semanticscholar +1 more source
Evolutionary interplay between viruses and R‐loops
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
wiley +1 more source
Existence of solutions to Burgers equations in a non-parabolic domain
In this article, we study the semilinear Burgers equation with time variable coefficients, subject to boundary condition in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed.
Yassine Benia, Boubaker-Khaled Sadallah
doaj
Uniqueness and Pseudolocality Theorems of the Mean Curvature Flow
Mean curvature flow evolves isometrically immersed base manifolds $M$ in the direction of their mean curvatures in an ambient manifold $\bar{M}$. If the base manifold $M$ is compact, the short time existence and uniqueness of the mean curvature flow are ...
Chen, Bing-Long, Yin, Le
core +3 more sources
Mechanisms and kinetic assays of aminoacyl‐tRNA synthetases
Accurate protein synthesis is crucial for life. The key players are aminoacyl‐tRNA synthetases (AARSs), which read the genetic code by pairing cognate amino acids and tRNAs. AARSs establish high amino acid selectivity by employing physicochemical limits in molecular recognition.
Igor Zivkovic +2 more
wiley +1 more source
On a Class of Nonlinear Elliptic Equations with General Growth in the Gradient
In this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is −Δpu=β|∇u|q+c|u|p−2u+fin Ω,u=0on ∂Ω, where Ω is an open bounded subset of RN, N≥2 ...
M. Francesca Betta +2 more
doaj +1 more source
In this paper we initiate the study of boundary value problems for fractional differential equations and inclusions involving (k,ϕ)-Hilfer fractional derivative of order in (1,2].
Jessada Tariboon +2 more
doaj +1 more source
On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
The uniqueness theorem for Tsallis entropy was presented in {\it H.Suyari, IEEE Trans. Inform. Theory, Vol.50, pp.1783-1787 (2004)} by introducing the generalized Shannon-Khinchin's axiom.
Furuichi, Shigeru
core +1 more source

