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

