Results 51 to 60 of about 15,437 (317)

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

Remarks on orthogonal polynomials with respect to varying measures and related problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane.
Xin Li
doaj   +1 more source

On orthogonal polynomials and related discrete integrable systems [PDF]

open access: yes, 2006
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core  

Full Vectorial Field Sensing Using Liquid Crystal Droplet Arrays

open access: yesAdvanced Materials, EarlyView.
An inkjet‐printed liquid crystal droplet array enables compact, low‐cost, single‐shot sensing of the full vectorial light field. Within a single platform, it simultaneously retrieves intensity, polarization, and phase, while dual‐wavelength operation highlights its capability for multi‐wavelength optical field characterization. ABSTRACT Determining the
Xuke Qiu   +10 more
wiley   +1 more source

Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices

open access: yes, 2010
We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann, G   +10 more
core   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

open access: yesAdvanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang   +4 more
wiley   +1 more source

Determinant inequalities for sieved ultraspherical polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
doaj   +1 more source

New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

open access: yesMathematics, 2020
A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza   +2 more
doaj   +1 more source

On quasi-orthogonal polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
where the { pn(X) } n??= are the related orthogonal polynomials. We say that two polynomial sets are related if one set is quasi-orthogonal with respect to the interval and distribution of the orthogonality of the other set. Chihara [2 ] gave a necessary form for a recurrence relation for quasi-orthogonal polynomials. It is the purpose of this paper to
openaire   +2 more sources

Monomiality, orthogonal and pseudo-orthogonal polynomials [PDF]

open access: yesInternational Mathematical Forum, 2006
We reconsider some families of orthogonal polynomials, within the framework of the so called monomiality principle. We show that the associated operational formalism allows the framing of the polynomial orthogonality using an algebraic point of view. Within such a frame- work, we introduce families of pseudo-orthogonal polynomials, namely polynomials,
GERMANO, Bruna   +3 more
openaire   +2 more sources

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