Results 1 to 10 of about 52,608 (198)
Representing logic gates over Euclidean space via heaviside step function [PDF]
Scientific Reports, 2022 Theoretical concepts asserted by Alan Turing are the basis of the computation and hence of machine intelligence. Turing Machine, the fundamental computational model, has been proven to be reducible to a logic circuit and, at the same time, portable into ...
Giovanni Iacovelli, Claudio Iacovelli
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Analysis of electric field in inclined dielectric media by heaviside unit-step function [PDF]
Scientific ReportsIt is so important to predict electric fields in advance before designing electrical devices or electronic products. In general, an electric field for an electric device to be designed is usually calculated using a commercial numerical analysis program ...
In-Su Han
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Decomposition of multivariate function using the Heaviside step function. [PDF]
Springerplus, 2014 Whereas the Dirac delta function introduced by P. A. M. Dirac in 1930 to develop his theory of quantum mechanics has been well studied, a not famous formula related to the delta function using the Heaviside step function in a single-variable form, also given by Dirac, has been poorly studied.
Chikayama E.
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On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function [PDF]
Biomath, 2016 In this paper we study the one-sided Hausdorff distance between the shifted Heaviside step--function and the transmuted Stannard growth function. Precise upper and lower bounds for the Hausdorff distance have been obtained.
Anton Iliev Iliev +2 more
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Mechanical Engineering Journal, 2020 A three-dimensional crack analysis method based on XFEM using only the Heaviside step function was applied to heat transfer and subsequent thermal stress analyses of cracked structures. The proposed method employs tip elements to discretize the weak form
Toshio NAGASHIMA
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Time-Optimal Control via Heaviside Step-Function Approximation [PDF]
2023 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2023 Least-squares programming is a popular tool in robotics due to its simplicity and availability of open-source solvers. However, certain problems like sparse programming in the $\ell_0$- or $\ell_1$-norm for time-optimal control are not equivalently solvable. In this work, we propose a non-linear hierarchical least-squares programming (NL-HLSP) for time-
Kai Pfeiffer, Quang‐Cuong Pham
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Applying the Heaviside step function to simulate the changes of temperature in automotive batteries [PDF]
Journal of Physics: Conference Series, 2021 Abstract Discharged batteries do not provide the specified voltage in the car’s power supply system during parking, which can cause malfunctions of electrical equipment and an increase in the quiescent current in the on-board network, due to incorrect operation of electronic control units responsible for the operation of self-diagnosis ...
Н. С. Захаров +3 more
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An Explicit Form of Heaviside Step Function
, 2021 In this paper, the author derives an explicit form of Heaviside Step Function, which evidently constitutes a fundamental concept of Operational Calculus and is also involved in many other fields of applied and engineering mathematics.In particular, this special function is exhibited in a very simple manner as a summation of four inverse tangent ...
J. Venetis
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Decomposition of a Nonlinear Multivariate Function using the Heaviside Step Function [PDF]
, 2014 Whereas the Dirac delta function introduced by P. A. M. Dirac in 1930 in his famous quantum mechanics text has been well studied, a not famous formula related to the delta function using the Heaviside step function in a single-variable form, also given in Dirac's text, has been poorly studied.
Eisuke Chikayama
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Review of a Heaviside step sequence function and the recursive Heaviside step sequence function for modeling human mental state [PDF]
In this paper, we define a novel recursive Heaviside step sequence function and demonstrate its applicability to modeling human mental states such as thought processes, memory recall, and forgetfulness. By extending the traditional Heaviside step function, which typically represents binary transitions, into a recursive sequence framework, we introduce ...
Changsoo Shin
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