Results 81 to 90 of about 226,626 (309)
ON THE RATIONAL POINTS ON CUBIC SURFACES [PDF]
Glasgow Mathematical Journal, 2000 Let \(N(P)\) denote the number of solutions in integers \(x_i\) with \(|x_i|\leq P\) of \(\sum_{1 \leq i \leq 4}a_ix_i^3 = 0\), in which \(a_i \neq 0\), and let \(N_1(P)\) denote the number of these solutions that do not lie on rational lines in the projective surface \(\mathcal S\) defined by this equation. \textit{D. R. Heath-Brown} [Philos. Trans. R.
openaire +2 more sources
Molecular Oncology, EarlyView.Radiotherapy (RT) response depends on the DNA repair capacity of tumor and host cells. We show that circulating tumor cell (CTC) counts and apoptosis rates before and after RT predict treatment response and outcome, which can be accessed via easily accessible liquid biopsy approaches. Created in BioRender. Wikman, H.
Yvonne Goy +10 more
wiley +1 more source
An arbitrary mesh network scheme using rational splines
, 1991 A C1 surface scheme is described which interpolates points defined on an arbitrary mesh network. The scheme involves the blending of strip ‘functions’ developed from a rational spline method.
Gregory, JA, Yuen, PK
core
Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
Molecular Oncology, EarlyView.IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
wiley +1 more source
Families of Smooth Rational Curves of Small Degree on the Fano Variety of Degree 5 of Main Series
Моделирование и анализ информационных систем, 2013 In this paper we consider some families of smooth rational curves of degree 2, 3 and 4 on a smooth Fano threefold X which is a linear section of the Grassmanian G(1, 4) under the Pl¨ucker embedding. We prove that these families are irreducible. The proof
M. S. Omelkova
doaj +3 more sources
MITF maintains genome stability in nonmelanocyte lineages
Molecular Oncology, EarlyView.MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir +13 more
wiley +1 more source
Solving Linear Rational Expectations Models with Predictable Structural Changes [PDF]
Standard solution methods for linear stochastic models with rational expectations presuppose a time-invariant structure as well as an environment in which shocks are unanticipated.
Mariano Kulish, Adam Cagliarini
core
Rational potassium manuring for arable cropping systems.
, 1988 Interest in potassium (K) manuring has decreased in recent years because applying K leads to no environmental problems, few soils are K deficient and K is cheaper than N.
Johnston, A. E., Goulding, K. W. T.
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Journal of High Energy PhysicsWe revisit the solution to the Schwinger-Dyson equations in the simple case of the 0-dimensional 1 2 m 2 ϕ 2 + λ 4 ϕ 4 $$ \frac{1}{2}{m}^2{\phi}^2+\frac{\lambda }{4}{\phi}^4 $$ theory with m 2 > 0 and λ ≥ 0.
Bartomeu Fiol +2 more
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Common best proximity point theorems for certain types of mappings [PDF]
Mathematica BohemicaLet $S$ and $T$ be two single-valued non-self-mappings from a nonempty set $\mathcal{P}$ to another nonempty set $\mathcal{Q}$. As they are non-self-mappings, the equations $Sx=x$ and $Tx=x$ do not have a common solution. In other words, they do not have
Arunachalam Murali, Krishnan Muthunagai
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