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This article addresses the characterization of extreme value statistics of continuous second order random field.
This leads to a sequence of reduced order random eigenvalue problems to be solved for each eigenmode of interest.
However, similarly to stochastic boundary or finite element methods, the approach proposed has its limitations on the second order random uncertainties measures of input random variables.
We apply this computational method to bound the worst case load associated with an ensemble of random boundary loads given by a second order random process.
We are interested in second order random variables X, having a density function (f_{X}), Ebigl[X^{2}bigr]=int_{-infty}^{infty}x^{2}f_{X}(x),dx< infty, where E denotes the expectation operator, and it allows the introduction of the Banach space (L_{2}) of all the second order random variables endowed with the norm |X|=sqrt{Ebigl[X^{2}bigr]}.
The purpose of these calculations is to provide what is essentially a benchmark against which to assess the accuracy of the commonly applied design wave solutions; linear and 2nd order random waves and linear and nonlinear steady wave solutions.
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Section 2 introduces the first-order random coefficient integer-valued autoregressive model under a random environment.
In this paper the second-order random fuzzy differential equations (SRFDEs) under generalized Hukuhara differentiability are introduced.
Two numerical techniques are proposed to construct a polynomial chaos (PC) representation of an arbitrary second-order random vector.
In this paper, we apply the least-squares method to estimate the unknown parameters in first-order random coefficient integer-valued autoregressive ((operatorname{RCINAR}(1))) processes.
This paper proposes a first-order random coefficient integer-valued autoregressive model under random environment by introducing a Markov chain with a finite state space.
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