Results 71 to 80 of about 79,736 (260)
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^{
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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 $(1/2)π_{p,n}$.
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic limb‐threatening ischemia (CLTI) is a severe form of lower‐extremity artery disease characterized by distal lesions and microcirculatory impairment, limiting revascularization efficacy. Rheocarna is a direct hemoperfusion low‐density lipoprotein (LDL) adsorption device with potential rheological and anti‐inflammatory ...
Kunihiro Ishioka +12 more
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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
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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+
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola +4 more
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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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
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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