Results 81 to 90 of about 1,232,779 (280)
Simultaneous Frobenius–Padé approximants
The authors consider simultaneous rational approximation with common denominator in the sense of the so called `German Polynomials' [cf. \textit{K. Mahler}, Perfect Systems, Comp. Math. 19, 95--166 (1968; Zbl 0168.31303)], constructed from formal power series \((f^1,\dots,f^d)\) in orthogonal polynomials \(\{P_k\}_{k\geq 0}\) with respect to a weight \(
Matos, Ana C., Van Iseghem, Jeannette
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Multivariate Perturbed Hyperbolic Tangent-Activated Singular Integral Approximation
Here we study the quantitative multivariate approximation of perturbed hyperbolic tangent-activated singular integral operators to the unit operator. The engaged neural network activation function is both parametrized and deformed, and the related kernel
George A. Anastassiou
doaj +1 more source
A note on simultaneous diophantine approximation
Refining earlier investigations due to J.M.MACK [7] by a method of MORDELL it is proved that for any two irrational numbers α, β there exist infinitely many pairs of fractions p/r, q/r satisfying the inequalities $$|\alpha - \frac{p}{r}|< \frac{8}{{13}}r^{ - 3/2} ,|\beta - \frac{q}{r}|< \frac{8}{{13}}r^{ - 3/2} .$$ .
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In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source
Approximation hardness of optimization problems in intersection graphs of d-dimensional boxes [PDF]
The Maximum Independent Set problem in d-box graphs, i.e., in the intersection graphs of axis-parallel rectangles in R d , is a challenge open problem. For any fixed d ≥ 2 the problem is NP-hard and no approximation algorithm with ratio o(log d−1 n) is ...
Chlebikova, Janka +5 more
core
Simultaneous approximation and interpolation from lattices [PDF]
We prove that if a sublattice L of a weighted space is an interpolating family, then simultaneous approximation and interpolation is possible from ...
Kashimoto, Màrcia S.
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This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Approximating the Distribution of the Instrumental Variables Estimator when the Concentration Parameter is Small. [PDF]
This paper presents a new approximation to the exact sampling distribution of the instrumental variables estimator in simultaneous equations models. It differs from many of the approximations currently available, Edgeworth expansions for example, in that
C. L. Skeels, D. S. Poskitt
core
Effective simultaneous approximability of reals
The effective simultaneous approximability of real vectors and sets of reals is studied. A hierarchy of real vectors based on the Kolmogorov complexity of computable approximations is constructed. We prove that the hierarchy is nontrivial at the bottom levels but collapses on the top levels.
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