Results 71 to 80 of about 10,375 (259)
Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization
Canadian Journal of Statistics, EarlyView.Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
wiley +1 more source
Solving the differential biochemical Jacobian from metabolomics covariance data.
PLoS ONE, 2014 High-throughput molecular analysis has become an integral part in organismal systems biology. In contrast, due to a missing systematic linkage of the data with functional and predictive theoretical models of the underlying metabolic network the ...
Thomas Nägele +5 more
doaj +1 more source
A Survey of Research on Square-Free and Radical Factorizations:from Jacobian-Type Conditions to Ideals in Noncommutative Rings [PDF]
Military Technology and ScienceThis article presents a survey of research on square-free and radical factorizations in rings and monoids, both in the commutativeand noncommutative settings.
Łukasz Matysiak
doaj +1 more source
The Jacobian Conjecture, Together with Specht and Burnside-Type Problems [PDF]
, 2014 We explore an (unpublished) approach to the famous Jacobian Conjecture by means of identities of algebras, discovered by the brilliant deceased mathematician, Alexander Vladimirovich Yagzhev (1951{2001). This approach also indicates some very close connections between mathematical physics, universal algebra and automorphisms of polynomial ...
Belov, Alexei +3 more
openaire +2 more sources
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu
Comptes Rendus. Mathématique, 2003 We establish a Jacobian estimate in the context of Ginzburg–Landau theory, which was conjectured in a recent work of Bourgain, Brezis and Mironescu.
F. Bethuel +2 more
openaire +3 more sources
The impact of forced closure on proppant distribution of hydraulic fracturing in shale formations
Deep Underground Science and Engineering, EarlyView.Research findings demonstrate that implementing forced closure within shale formations can remarkably mitigate proppant settlement, concurrently increasing the effective propped surface area from 29.74% to 38.68%. Abstract Forced closure is widely used in conventional oil and gas reservoirs to promote uniform proppant placement.
Tongxuan Gu +3 more
wiley +1 more source
The Jacobian Conjecture as a problem in combinatorics
, 2005 The Jacobian Conjecture has been reduced to the symmetric homogeneous case. In this paper we give an inversion formula for the symmetric case and relate it to a combinatoric structure called the Grossman-Larson Algebra. We use these tools to prove the symmetric Jacobian Conjecture for the case $F=X-H$ with $H$ homogeneous and $JH^{3}=0$.
openaire +2 more sources
Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
On the geometrical representation of the Jacobian in the path integral reduction problem [PDF]
Physics Letters A, 2008 8 ...
openaire +2 more sources