Results 21 to 30 of about 2,026,688 (333)
Newton series expansion of bosonic operator functions
We show how series expansions of functions of bosonic number operators are naturally derived from finite-difference calculus. The scheme employs Newton series rather than Taylor series known from differential calculus, and also works in cases where the ...
Jürgen König, Alfred Hucht
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Moving Taylor series for solving one-dimensional one-phase Stefan problem
In this work, a modified form of Taylor series is proposed which we call the moving Taylor series. We prove theorems that formulate coefficients of the proposed series along with the formula of its time-derivatives.
A. Elsaid, S.M. Helal
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Distribution of zeroes of Rademacher Taylor series [PDF]
We find the asymptotics of the counting function of zeroes of random entire functions represented by Rademacher Taylor series. We also give the asymptotics of the weighted counting function, which takes into account the arguments of zeroes. These results
Nazarov, Fedor +2 more
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In this paper, the differential transformation method is applied to the system of Volterra integral and integrodifferential equations with proportional delays. The method is useful for both linear and nonlinear equations.
Şuayip Yüzbaşı, Nurbol Ismailov
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Dynamic Model for LES Without Test Filtering: Quantifying the Accuracy of Taylor Series Approximations [PDF]
The dynamic model for large-eddy simulation (LES) of turbulent flows requires test filtering the resolved velocity fields in order to determine model coefficients.
Charlette, Fabrice +2 more
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Life Against Deathworlds: Bangladesh’s July Charter 2025 and the Reconfiguration of Power
The July–August 2024 mass uprising in Bangladesh marked a definitive rupture in the nation’s political trajectory, culminating in the collapse of Prime Minister Sheikh Hasina’s fifteen-year tenure.
Rituparna Bhattacharyya
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Universal Taylor series, conformal mappings and boundary behaviour [PDF]
A holomorphic function f on a simply connected domain {\Omega} is said to possess a universal Taylor series about a point in {\Omega} if the partial sums of that series approximate arbitrary polynomials on arbitrary compacta K outside {\Omega} (provided ...
Gardiner, Stephen J.
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#Metoo Movement: Backlash or Rhetoric
Any form of sexual assault stems from the intersection of power, patriarchal structure and gender. While different countries take different measures to tackle cases of sexual assault, cases continue to rise like a pandemic.
Rituparna Bhattacharyya
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Flows and stochastic Taylor series in Ito calculus [PDF]
For stochastic systems driven by continuous semimartingales an explicit formula for the logarithm of the Ito flow map is given. A similar formula is also obtained for solutions of linear matrix-valued SDEs driven by arbitrary semimartingales.
Ebrahimi-Fard, Kurusch +3 more
core +5 more sources
Uncertainty propagation on a nonlinear measurement model based on Taylor expansion
In this paper, the propagation of uncertainty on a nonlinear measurement model is presented using a higher-order Taylor series. As the derived formula is based on a Taylor series, it is necessary to compute the partial derivatives of the nonlinear ...
Min-Hee Gu +4 more
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