Results 101 to 110 of about 622,497 (296)
A limit theorem for partial weighted sums of regression residuals
Let a linear regression be given. We consider the polygonal line process of weighted least squares residuals. We prove a limit theorem in Hoder spaces for this process. This extends the results of Jandhyala and MacNeill, Bischoff, Račkauskas.
Vytenis Pažemys
doaj +1 more source
Smaller is better: nanobodies meet NMR
Nanobodies are single‐domain antigen‐binding fragments derived from camelid heavy chain antibodies. Their small size, high stability, and exceptional specificity make nanobodies uniquely useful probes for NMR studies of protein dynamics, transient conformational states, and protein–protein interactions.
Oleg Y. Dmitriev
wiley +1 more source
On Alternating Weighted Binomıal Sums With Falling Factorıals
In this paper, by inspiring from earlier recent works on weighted binomial sums, we introduce and compute new kinds of binomial sums including rising factorial of the summation ...
Kılıç, Emrah +2 more
core
Transient oligomers formed by intrinsically disordered proteins may be ‘invisible’ to direct detection yet remain accessible to solution NMR through equilibrium‐exchange measurements and pressure‐jump experiments. Complementary methods report on mass, stoichiometry, selected distance distributions, morphology, and internal packing.
Martin D. Gelenter, Ad Bax
wiley +1 more source
A New Identity Relating Weighted Sums of Primes and Sums of Reciprocals of Riemann Zeros
In this paper we discover and prove a new identity that establishes an exact relationship between a certain weighted sum over prime numbers and the sum over nontrivial zeros of the Riemann zeta function of the reciprocal of ρ(1−ρ).
Wei Wu, Haipeng Peng, Lixiang Li
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On sums of weighted averages of $\gcd$-sum functions
Let $\gcd(j,k)$ be the greatest common divisor of the integers $j$ and $k$. In this paper, we give several interesting asymptotic formulas for weighted averages of the $\gcd$-sum function $f(\gcd(j,k)) $ and the function $\sum_{d|k, d^{s}|j}(f*μ)(d) $ for any positive integers $j$ and $k$, namely $$ \sum_{k\leq x}\frac{1}{k^{r+1}}\sum_{j=1}^{k}j^{r}f ...
Kiuchi, Isao, Eddin, Sumaia Saad
openaire +2 more sources
Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy
The increasing prevalence of viral diseases represents a major threat for global human health. Nanobodies, small binding fragments derived from camelid heavy‐chain antibodies, offer versatile tools for viral research, diagnostics, and antiviral therapy.
Domenic Ebert, Ulrich Rothbauer
wiley +1 more source
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables [PDF]
In this paper, we generalize a theorem of Shao [12] by assuming that is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively
doaj
The atomic decomposition of harmonic functions satisfying certain conditions of integrability
Distributions on Euclidean spaces with derivatives of their Poisson integral satisfying certain natural conditions of integrability are represented as sums of weighted atoms.
Krzysztof Bogdan
doaj +1 more source
Comparing the paths of Hedgehog release in artificial and natural settings
Hh morphogens require solubilization factors to overcome their tight association with the plasma membrane and signal to distant cells, but the precise functions of these factors are controversial. Here, we use published in vivo observations as the most relevant evidence to test their suggested functions and discuss contradictions and gaps between in ...
Janna Puschmann, Kay Grobe
wiley +1 more source

