Results 71 to 80 of about 99,304 (262)
On the division of functions of class $C\sp r$ by real analytic functions [PDF]
Bulletin de la Société mathématique de France, 1985 Summary: Let \(X_ 0\subset R^ n\) be a germ at 0 of a real analytic coherent set. Assume that an analytic function f generates ideal \(I(X_ 0)\). Then we can find a function \(Q: N\to N\), \(\lim_{r\to \infty}Q(r)=\infty\), such that, for every function \(g\in C^ r(R^ n)\) which vanishes on \(X_ 0\), the quotient g/f is a germ of function of class \(C^{
openaire +2 more sources
Учёные записки Казанского университета: Серия Физико-математические наукиThis article analyzes the inhomogeneous Hilbert boundary value problem for an upper half-plane with the finite index and boundary condition on the real axis for one generalized Cauchy–Riemann equation with a singular point on the real axis.
P. L. Shabalin, R. R. Faizov
doaj +1 more source
FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
On strong C0-equivalence of real analytic functions
Journal of the Mathematical Society of Japan, 1993 The author introduces the notion of strong \(C^ 0\)-equivalence for real analytic germs \((\mathbb{R}^ n,0) \to(\mathbb{R},0)\) which is the usual \(C^ 0\)- equivalence preserving the tangency of analytic arcs at the origin \(0 \in \mathbb{R}^ n\). Then he considers two \(\mu\)-constant one-parameter families of complex polynomial germs \[ x^{15}+xy^ 7+
openaire +3 more sources
Computing Limits of Quotients of Multivariate Real Analytic Functions
CoRR, 2021 6 ...
openaire +2 more sources
FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
A covering theorem for odd typically-real functions
International Journal of Mathematics and Mathematical Sciences, 1980 An analytic function f(z)=z+a2z2+… in |z|
E. P. Merkes
doaj +1 more source
FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Ring Of Real Analytic Functions on $[0,1]$
, 2016 We consider the ring of real analytic functions defined on $[0,1]$, i.e. $$C^ω[0,1] =\lbrace f :[0,1] \longrightarrow \mathbb{R} | f \text{ is analytic on } [0,1]\rbrace$$ In this article, we explore the nature of ideals in this ring. It is well known that the ring $C[0,1]$ of real valued continuous functions on $[0,1]$ has precisely the following ...
Shrivastava, Sagar, Pandey, Vaibhav
openaire +2 more sources
Real-analyticity of generalized sine functions with two parameters
The Journal of Analysis, 2022 We identify the maximal real interval on which $\sin_{p,n}$ is real-analytic for any real number $p>1$ and any integer $n>1$. We achieve this by first proving that $\sin_{p,n}$ is analytic at $(1/2)π_{p,n}$ iff $p=m/(m-1)$ for some integer $m>1$, in which case we determine the radius of convergence of the Taylor series at $(1/2)π_{p,n}$.
openaire +2 more sources