Results 151 to 160 of about 1,107 (197)
Small RNA pathways in mammalian oocytes
FEBS Open Bio, EarlyView.Three distinct small RNA pathways operate in mammalian oocytes: RNAi interference (RNAi), the microRNA (miRNA) pathway, and the PIWI‐associated RNA (piRNA) pathway. These pathways use small RNAs to guide sequence‐specific repression and contribute to oocyte biology by targeting genes and mobile elements or appear insignificant since different ...
Petr Svoboda, Josef Pasulka
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FEBS Open Bio, EarlyView.TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose +9 more
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On a Numerical Differentiation
SIAM Journal on Numerical Analysis, 1986Betrachtet werden numerische Differentiationsformeln des Typs \[ f^{(m)}(x)\approx (1/h^ m)\sum^{n}_{i=1}a_ if(x+hb_ i),\quad b_ i\neq b_ j\text{ für }i\neq j \] vom Grad \(n-m\). Der Grad kann zwar auch \(n-m+1\) sein, aber niemals \(\geq n-m+2\). Dafür, daß der Grad der Formel \(n-m+1\) ist, wird eine notwendige und hinreichende Bedingung angegeben ...
Herceg, Dragoslav, Cvetković, Ljiljana
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Numerical differentiation by integration
Mathematics of Computation, 2013While there are various methods which have been developed for numerical differentiation, the estimation of the derivative of a function is often problematic when one has only noisy values of the function itself. In this instance it is important to employ a method which is able to calculate \(f'(x)\) in a stable manner. This article specifically focuses
Xiaowei Huang 0003 +2 more
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Formulae for Numerical Differentiation
The Mathematical Gazette, 1941In a recent paper (1) formulae were given for the numerical integration of a function in terms of its values at a set of arguments at equal intervals. In this companion paper, formulae for numerical differentiation, using the same data, are collected. Their utility in enabling derivatives of a function given numerically at such a set of arguments to be
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Numerical Differentiation and Regularization
SIAM Journal on Numerical Analysis, 1971Tikhonov’s regularization procedure is applied to the operation of differentiation, resulting in a procedure for numerical differentiation for which the effects of errors in the values of the function being differentiated on the values for the derivative obtained in the procedure can be studied. The theoretical discussion is complemented by the results
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Numerical Differentiation of Analytic Functions
ACM Transactions on Mathematical Software, 1981It is well known that the classical difference formulas for evaluating high derivatives of a real function f(ζ) are very ill-conditioned. However, if the function f(ζ) is analytic and can be evaluated for complex values of ζ, the problem can be shown to be perfectly well-conditioned.
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BIT, 1975
In a recent paper Strom analyzed a simple extrapolation algorithm for numerical differentiation and derived certain properties about the kernel function of the integral representation of the remainder term. These properties are useful for placing bounds on the error in cases when specified higher order derivatives are known not to change sign.
Ström, Torsten, Lyness, J. N.
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In a recent paper Strom analyzed a simple extrapolation algorithm for numerical differentiation and derived certain properties about the kernel function of the integral representation of the remainder term. These properties are useful for placing bounds on the error in cases when specified higher order derivatives are known not to change sign.
Ström, Torsten, Lyness, J. N.
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