Results 121 to 130 of about 248,977 (280)
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
On Sign Patterns of 4 × 4 Algebraically Positive Matrices
A square matrix A with real entries is said to be algebraically positive (AP) if there exists a real polynomial f such that fA is a positive matrix. A square sign pattern matrix A is said to allow algebraic positivity if there is an AP matrix A whose ...
Yan Tian, Siyuan Jiang, Aiwei Wang
doaj +1 more source
From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View
A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits).
Alexander V. Turbiner
doaj +1 more source
A Guide to Bayesian Optimization in Bioprocess Engineering
ABSTRACT Bayesian optimization has become widely popular across various experimental sciences due to its favorable attributes: it can handle noisy data, perform well with relatively small data sets, and provide adaptive suggestions for sequential experimentation.
Maximilian Siska +5 more
wiley +1 more source
ABSTRACT On April 6, 2009, central Italy was hit by a Mw6.1$$ {M}_w\kern0.3em 6.1 $$ earthquake that caused 308 victims in the city and province of L'Aquila; subsequently, in 2016, two Mw6+$$ {M}_w\kern0.3em 6+ $$ shocks were recorded in an area located a few dozen kilometers further north, respectively in Amatrice and Norcia.
Elisa Varini +2 more
wiley +1 more source
Testing Hypotheses of Covariate Effects on Topics of Discourse
ABSTRACT We introduce an approach to topic modeling with document‐level covariates that remains tractable in the face of large text corpora. This is achieved by de‐emphasizing the role of parameter estimation in an underlying probabilistic model, assuming instead that the data come from a fixed but unknown distribution whose statistical functionals are
Gabriel Phelan, David A. Campbell
wiley +1 more source
News shocks, consumer confidence and business cycles
Abstract We study the causal effects of consumer sentiment shocks on macroeconomic aggregates. By constructing a novel instrument based on major non‐economic news shocks in the USA over 1969–2022, and opinion polls around these events, we identify exogenous changes in consumer confidence.
Syed M. Hussain, Zara Liaqat
wiley +1 more source
Some bounds related to the 2‐adic Littlewood conjecture
Abstract For every irrational real α$\alpha$, let M(α)=supn⩾1an(α)$M(\alpha) = \sup _{n\geqslant 1} a_n(\alpha)$ denote the largest partial quotient in its continued fraction expansion (or ∞$\infty$, if unbounded). The 2‐adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational α$\alpha$ such that M(2kα)$M(2^k \alpha)$ is ...
Dinis Vitorino, Ingrid Vukusic
wiley +1 more source
Non‐vanishing of Poincaré series on average
Abstract We study when Poincaré series for congruence subgroups do not vanish identically. We show that almost all Poincaré series with suitable parameters do not vanish when either the weight k$k$ or the index m$m$ varies in a dyadic interval. Crucially, analyzing the problem ‘on average’ over these weights or indices allows us to prove non‐vanishing ...
Ned Carmichael, Noam Kimmel
wiley +1 more source
Polynomial algebras over the Steenrod algebra
Campbell, H.E.A., Selick, P.S.
openaire +1 more source

