Simple Function

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Suramate Chalermwisutkul - One of the best experts on this subject based on the ideXlab platform.

  • new development of an approximate utd ray solution for diffraction of an oblique incident plane wave by a planar material junction
    Asia-Pacific Conference on Communications, 2014
    Co-Authors: Montree Saowadee, Titipong Lertwiriyaprapa, Suramate Chalermwisutkul
    Abstract:

    An approximate UTD ray solution of an oblique incident wave for analyzing an electromagnetic (EM) wave diffracted by a planar material junction has been developed in this paper. The proposed approximated UTD solution is based on an ansatz obtained from the Weiner-Hopf (W-H) solution by approximate W-H split Function into a Simple Function. This leads the proposed solution is relatively Simple and closed form expression which is suitable for engineering applications. Also, the proposed proximate UTD solution overcomes all of limitations from previous approximate UTD solutions. To verified accuracy of the proposed solution UTD solution, W-H solution used as a reference solution. The comparison between the proposed UTD solution and the W-H solution shows very good agreement for all the co and cross-polarizations.

  • new development of an approximate utd ray solution for diffraction of an oblique incident plane wave by a planar material junction
    Asia-Pacific Conference on Communications, 2014
    Co-Authors: Montree Saowadee, Titipong Lertwiriyaprapa, Suramate Chalermwisutkul
    Abstract:

    An approximate UTD ray solution of an oblique incident wave for analyzing an electromagnetic (EM) wave diffracted by a planar material junction has been developed in this paper. The proposed approximated UTD solution is based on an ansatz obtained from the Weiner-Hopf (W-H) solution by approximate W-H split Function into a Simple Function. This leads the proposed solution is relatively Simple and closed form expression which is suitable for engineering applications. Also, the proposed proximate UTD solution overcomes all of limitations from previous approximate UTD solutions. To verified accuracy of the proposed solution UTD solution, W-H solution used as a reference solution. The comparison between the proposed UTD solution and the W-H solution shows very good agreement for all the co and cross-polarizations.

John Snyder - One of the best experts on this subject based on the ideXlab platform.

  • understanding kernel ridge regression common behaviors from Simple Functions to density Functionals
    International Journal of Quantum Chemistry, 2015
    Co-Authors: John Snyder, Matthias Rupp, Brandon F Chen, Tarek Khelif, Klausrobert Muller, Kieron Burke
    Abstract:

    Accurate approximations to density Functionals have recently been obtained via machine learning (ML). By applying ML to a Simple Function of one variable without any random sampling, we extract the qualitative dependence of errors on hyperparameters. We find universal features of the behavior in extreme limits, including both very small and very large length scales, and the noise-free limit. We show how such features arise in ML models of density Functionals. © 2015 Wiley Periodicals, Inc.

  • understanding kernel ridge regression common behaviors from Simple Functions to density Functionals
    arXiv: Computational Physics, 2015
    Co-Authors: John Snyder, Matthias Rupp, Brandon F Chen, Tarek Khelif, Klausrobert Muller, Kieron Burke
    Abstract:

    Accurate approximations to density Functionals have recently been obtained via machine learning (ML). By applying ML to a Simple Function of one variable without any random sampling, we extract the qualitative dependence of errors on hyperparameters. We find universal features of the behavior in extreme limits, including both very small and very large length scales, and the noise-free limit. We show how such features arise in ML models of density Functionals.

Montree Saowadee - One of the best experts on this subject based on the ideXlab platform.

  • new development of an approximate utd ray solution for diffraction of an oblique incident plane wave by a planar material junction
    Asia-Pacific Conference on Communications, 2014
    Co-Authors: Montree Saowadee, Titipong Lertwiriyaprapa, Suramate Chalermwisutkul
    Abstract:

    An approximate UTD ray solution of an oblique incident wave for analyzing an electromagnetic (EM) wave diffracted by a planar material junction has been developed in this paper. The proposed approximated UTD solution is based on an ansatz obtained from the Weiner-Hopf (W-H) solution by approximate W-H split Function into a Simple Function. This leads the proposed solution is relatively Simple and closed form expression which is suitable for engineering applications. Also, the proposed proximate UTD solution overcomes all of limitations from previous approximate UTD solutions. To verified accuracy of the proposed solution UTD solution, W-H solution used as a reference solution. The comparison between the proposed UTD solution and the W-H solution shows very good agreement for all the co and cross-polarizations.

  • new development of an approximate utd ray solution for diffraction of an oblique incident plane wave by a planar material junction
    Asia-Pacific Conference on Communications, 2014
    Co-Authors: Montree Saowadee, Titipong Lertwiriyaprapa, Suramate Chalermwisutkul
    Abstract:

    An approximate UTD ray solution of an oblique incident wave for analyzing an electromagnetic (EM) wave diffracted by a planar material junction has been developed in this paper. The proposed approximated UTD solution is based on an ansatz obtained from the Weiner-Hopf (W-H) solution by approximate W-H split Function into a Simple Function. This leads the proposed solution is relatively Simple and closed form expression which is suitable for engineering applications. Also, the proposed proximate UTD solution overcomes all of limitations from previous approximate UTD solutions. To verified accuracy of the proposed solution UTD solution, W-H solution used as a reference solution. The comparison between the proposed UTD solution and the W-H solution shows very good agreement for all the co and cross-polarizations.

M Kimura - One of the best experts on this subject based on the ideXlab platform.

  • absolute humidity sensing independent of the ambient temperature
    Sensors and Actuators A-physical, 1996
    Co-Authors: M Kimura
    Abstract:

    Abstract A new method for measuring the absolute humidity independently of the ambient temperature Ta is proposed and demonstrated using a thermal humidity sensor with only a single micro-air-bridge heater made by the silicon micromachining technique, based on the effect of thermal-conductivity change in humid air. Introducing a new Simple Function φ(H) = Vh2−KV1 2, it is found that K becomes a constant expressed as K = Rh/Rl and φ(H) becomes a Simple monotonic curve independent of the ambient temperature Ta. Thi experimentally demonstrated.

  • a new method to measure the absolute humidity independently of the ambient temperature
    Sensors and Actuators B-chemical, 1996
    Co-Authors: M Kimura
    Abstract:

    Abstract A new method to measure the absolute humidity independently of the ambient temperature T a is proposed and demonstrated using a thermal humidity sensor with only a single micro-air-bridge heater, based on the thermal conductivity change effect in the humid air. Introducing a new Simple Function Φ ( H ) as Φ ( H ) = V h 2 − KV 1 2 , it is found that K becomes a constant expressed as K = R h R 1 , and Φ (H) becomes a Simple monotonous curve independently of the ambient temperature T a and that is experimentally demonstrated. We can see that we can easily obtain the absolute humidity H from this curve.

  • A New Method To Measure The Absolute-humidity Independently Of The Ambient Temperature
    Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95, 1995
    Co-Authors: M Kimura
    Abstract:

    A new method to measure the absolute-humidity independently of the ambient temperature Ta is proposed and demonstrated using a thermal humidity sensor with only a single micro-air- bridge heater, based on the thermal-conductivity change effect in the humid air. Introducing a new Simple Function /spl Phi/(H) as, /spl Phi/(H) = Vh/sup 2/ - K VI/sup 2/, it is found that K becomes a constant expressed as K= Rh / RI, and /spl Phi/(H) becomes a Simple monotonous curve independently of the ambient temperature Ta and that is experimentally demonstrated. We can see that we can easily get the absolute-humidity H from the /spl Phi/(H) - H curve.

Gaige Deng - One of the best experts on this subject based on the ideXlab platform.

  • background field method in the large n_f expansion of scalar qed
    European Physical Journal C, 2019
    Co-Authors: Zhiyuan Zheng, Gaige Deng
    Abstract:

    Using the background field method, we, in the large $$N_f$$ approximation, calculate the beta Function of scalar quantum electrodynamics at the first nontrivial order in $$1/N_f$$ by two different ways. In the first way, we get the result by summing all the graphs contributing directly. In the second way, we begin with the Borel transform of the related two point Green’s Function. The main results are that the beta Function is fully determined by a Simple Function and can be expressed as an analytic expression with a finite radius of convergence, and the scheme-dependent renormalized Borel transform of the two point Green’s Function suffers from renormalons.

  • Background field method in the large $$N_f$$ Nf expansion of scalar QED
    SpringerOpen, 2019
    Co-Authors: Zhiyuan Zheng, Gaige Deng
    Abstract:

    Abstract Using the background field method, we, in the large $$N_f$$ Nf approximation, calculate the beta Function of scalar quantum electrodynamics at the first nontrivial order in $$1/N_f$$ 1/Nf by two different ways. In the first way, we get the result by summing all the graphs contributing directly. In the second way, we begin with the Borel transform of the related two point Green’s Function. The main results are that the beta Function is fully determined by a Simple Function and can be expressed as an analytic expression with a finite radius of convergence, and the scheme-dependent renormalized Borel transform of the two point Green’s Function suffers from renormalons

  • Background field method in the large
    'Springer Science and Business Media LLC', 2019
    Co-Authors: Zhiyuan Zheng, Gaige Deng
    Abstract:

    Using the background field method, we, in the large $$N_f$$ approximation, calculate the beta Function of scalar quantum electrodynamics at the first nontrivial order in $$1/N_f$$ by two different ways. In the first way, we get the result by summing all the graphs contributing directly. In the second way, we begin with the Borel transform of the related two point Green’s Function. The main results are that the beta Function is fully determined by a Simple Function and can be expressed as an analytic expression with a finite radius of convergence, and the scheme-dependent renormalized Borel transform of the two point Green’s Function suffers from renormalons