Results 71 to 80 of about 7,365 (273)

A linear Fuchsian equation with variable indices

open access: yes, 2003
We construct three types of solutions for a Fuchsian equation with variable indices: (1) branched solutions involving logarithms of the time variable t; (2) solutions involving tx, where x is a space variable; and, (3) for a model case, exact solutions ...
Bentrad, Ali, Kichenassamy, Satyanad
core   +1 more source

On Algebraic Numbers of Small Height: Linear Forms in One Logarithm

open access: yesJournal of Number Theory, 1994
The authors establish a lower bound for \(|\alpha -1|\) where \(\alpha\) is a complex algebraic number \(\neq 1\). This lower bound is completely explicit in terms of the degree \(D\) of \(\alpha\) and its Mahler measure \(M(\alpha)\). Given any number \(\mu>0\) with \(\mu\geq \log M(\alpha)\), the authors prove \[ |\alpha -1|\geq \exp \Bigl\{- \bigl( \
Mignotte, M., Waldschmidt, M.
openaire   +2 more sources

Exon 7 splicing of ERα predicts poor prognosis and increases phenotypic heterogeneity in luminal a subtype breast cancer

open access: yesFEBS Open Bio, EarlyView.
ERα splice variant ERα∆7 lacks the C‐terminus, and its expression may change phenotypes of breast cancers. Our results showed that ERα∆7 is found in the luminal A subtype, and elevated ERα∆7 levels are linked to improved cell survival with lower proliferation and migration.
Long Wai Tsui   +10 more
wiley   +1 more source

Linear Forms in Logarithms and Integer Points on Genus-two Curves [PDF]

open access: yes, 2006
We consider a linear form with algebraic coefficients, evaluated at points on the analytic Jacobian of a genus-two curve whose projective coordinates are algebraic.
Vogler, John Richard
core  

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill   +4 more
wiley   +1 more source

Screening and epitope characterization of Nidogen‐2‐specific nanobodies

open access: yesFEBS Open Bio, EarlyView.
Camel immunization and phage display were employed to generate high‐affinity VHH nanobodies against Nidogen‐2. After library construction, biopanning, ELISA screening, sequencing, and recombinant expression, selected nanobodies were purified and characterized, leading to the preliminary exploration of a nanobody‐based sandwich ELISA for specific ...
Jianchuan Wen   +9 more
wiley   +1 more source

Solving Macroeconomic Models with "Off-the-Shelf" Software: An Example of Potential Pitfalls [PDF]

open access: yes
When working with large-scale models or numerous small models, there can be a temptation to rely on default settings in proprietary software to derive solutions to the model. In this paper we show that, for the solution of non-linear dynamic models, this
Ric D. Herbert, Peter J. Stemp
core  

Flavor physics in the quark sector [PDF]

open access: yes, 2008
In the past decade, one of the major challenges of particle physics has been to gain an in-depth understanding of the role of quark flavor. In this time frame, measurements and the theoretical interpretation of their results have advanced tremendously. A
Smith, Christopher   +999 more
core   +1 more source

Evolutionarily divergent DUF4465 domains have a common vitamin B12‐binding function

open access: yesFEBS Open Bio, EarlyView.
We show that DUF4465 family proteins, widespread across bacteria from gut microbiomes, hydrothermal vents, and soil, share a common vitamin B12‐binding function. These augmented β‐jellyroll proteins bind vitamin B12 via extended loops. Our findings establish sequence‐diverse DUF4465 proteins as a widespread class of B12‐binding proteins, highlighting ...
Charlea Clarke   +4 more
wiley   +1 more source

An Explicit Bound for the Logarithmic Integral Derived via Linear Forms in Logarithms

open access: yes
This paper establishes an explicit conditional upper bound for the Eulerian logarithmic integral by bridging transcendental and analytic number theory. Specifically, we apply the Baker-Matveev method for linear forms in logarithms to a primorial-based Diophantine system. 
  +8 more sources

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