Results 91 to 100 of about 4,706,970 (298)

Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation [PDF]

, 2015
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
N. H. Bingham, A. J. Ostaszewski, Bingham, N. H., Ostaszewski, A. J.   +3 more
core   +1 more source

ON A SYSTEM OF FUNCTIONAL EQUATIONS

Demonstratio Mathematica, 1998
The authors study the system of functional equations \[ \varphi_i(x)=\sum^n_{j=1}\sum^m_{k=1}a_{ijk}\biggl(x,\varphi_j\bigl(S_{ijk} (x)\bigr)\biggr)+g_i(x),\quad i=1,\dots,n,\quad x\in I\subset\mathbb{R}, \] where \(I\) is an interval and the given functions \(g_i:I\to I\) and \(a_{ijk}:I\times\mathbb{R}\to\mathbb{R}\) are continuous.
Nguyen Thanh Long, Nguyen Hoi Nghia, Nguyen Kim Khoi, Dinh Van Ruy   +3 more
openaire   +2 more sources

Stimulator of interferon genes agonist augmented antitumor immunity of osimertinib in Egfr‐mutated lung cancer

Molecular Oncology, EarlyView.
Combining osimertinib with the STING agonist ADU‐S100 activates innate and adaptive immunity to overcome the non‐inflamed microenvironment of Egfr‐mutant lung cancer. This combination increases NK and CD8+ T‐cell infiltration, associated with activation of the STING‐IRF3 pathway and local immunogenic cell death.
Jun Nishimura, Tadahiro Kuribayashi, Johannes Brägelmann, Sachi Okawa, Masataka Taoka, Shunta Mori, Tomoka Nishimura, Takaaki Tanaka, Go Makimoto, Kiichiro Ninomiya, Kammei Rai, Eiki Ichihara, Ryohei Katayama, Katsuyuki Hotta, Masahiro Tabata, Yosuke Togashi, Yoshinobu Maeda, Martin L. Sos, Katsuyuki Kiura, Kadoaki Ohashi   +19 more
wiley   +1 more source

L2 regularity of measurable solutions of a finite-difference equation of the circle [PDF]

, 2004
We show that if $\varphi$ is a lacunary Fourier series and the equation $\psi (x) -\psi (x + \alpha) = \varphi(x), x \bmod 1$ has a measurable solution $\varphi$, then in fact the equation has a solution in L2.
Herman, Michael R., MICHAEL ROBERT HERMAN   +1 more
core   +1 more source

A Functional Equation in Arithmetic [PDF]

Transactions of the American Mathematical Society, 1936
which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
openaire   +2 more sources

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, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
doaj   +1 more source

Variants of the functional equation of Cauchy

Lietuvos Matematikos Rinkinys, 2004
In this paper solution of the Cauchy functional equation and variants of it are considered.
Juozas Mačys
doaj   +1 more source

Finding novel vulnerabilities of hypomorphic BRCA1 alleles

Molecular Oncology, EarlyView.
Synthetic lethality screens performed to identify novel vulnerabilities often model complete gene loss, thereby overlooking patient‐derived hypomorphic mutations. In this study, we have performed genome‐wide CRISPR screens on BRCA1 hypomorphic mutations, showing BRCA1I26A behaves like wild‐type, while BRCA1R1699Q mimics deficiency. Furthermore, we have
Anne Schreuder, Klaas de Lint, Hồ Mỹ Phúc Võ, Mariana M. Góis, Rosalie A. Kampen, Marta San Martin Alonso, Ilse Nootenboom, Veronica Garzero, Tiemen J. Wendel, Rob M. F. Wolthuis, Sylvie M. Noordermeer   +10 more
wiley   +1 more source

Superstability of Some Pexider-Type Functional Equation [PDF]

, 2010
We will investigate the superstability of the sine functional equation from the following Pexider-type functional equation ( ), which can be considered the mixed functional equation of the sine and cosine functions, the mixed functional equation of the
GwangHui Kim, Kim GwangHui, Gwang Hui Kim   +2 more
core   +1 more source