Asymptote

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Y. L. Chow - One of the best experts on this subject based on the ideXlab platform.

  • CAD Formulas of Microstrip Line on Two-Layer Substrate with Loss by Synthetic Asymptote
    2006 IEEE Antennas and Propagation Society International Symposium, 2006
    Co-Authors: Wanchun Tang, Baozheng Jiang, Y. L. Chow
    Abstract:

    In this paper, a simple CAD formula for microstrip line on lossy substrate of two layers (e.g., silicon-oxide and silicon of CMOS) is obtained through derivations by synthetic Asymptote. Synthetic Asymptote has been used recently to generate formulas in microwave. The formulas obtained by synthetic Asymptote are simple, accurate (error < 2%) and therefore give good physical insights. With synthetic Asymptote and image theory, CAD formulas for microstrip line on two-layer substrate were derived. This paper is an improvement, that is: simpler CAD formulas using only synthetic Asymptote and no image; this lifts the restriction that the first substrate layer has to be very thin

  • a simple method for ohmic loss in conductors with cross section dimensions on the order of skin depth
    Microwave and Optical Technology Letters, 1999
    Co-Authors: Y. L. Chow, N N Feng, Dagang Fang
    Abstract:

    The high-frequency skin-depth approximation for ohmic loss calculations is not valid if the conductor thickness decreases and approaches the skin depth. This is the situation in many monolithic microwave integrated circuits (MMICs). The two Asymptotes of loss, at dc and at high frequency of the above, are, in fact, known. This letter constructs a single synthetic Asymptote that joins the two original Asymptotes, and gives good loss values at intermediate frequencies where the above skin depth occurs, not unlike a French curve fitting. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 20: 302–304, 1999.

  • A simple method for ohmic loss in conductors with cross‐section dimensions on the order of skin depth
    Microwave and Optical Technology Letters, 1999
    Co-Authors: Y. L. Chow, N N Feng, Dagang Fang
    Abstract:

    The high-frequency skin-depth approximation for ohmic loss calculations is not valid if the conductor thickness decreases and approaches the skin depth. This is the situation in many monolithic microwave integrated circuits (MMICs). The two Asymptotes of loss, at dc and at high frequency of the above, are, in fact, known. This letter constructs a single synthetic Asymptote that joins the two original Asymptotes, and gives good loss values at intermediate frequencies where the above skin depth occurs, not unlike a French curve fitting. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 20: 302–304, 1999.

  • calculation and interpretation of a grounding grid in two layer earth with the synthetic Asymptote approach
    Electric Power Systems Research, 1995
    Co-Authors: M M A Salama, M M Elsherbiny, Y. L. Chow
    Abstract:

    An accurate method for calculating the resistance of a substation grounding grid buried in two-layer earth is proposed in this paper. The method is based on the image theory and the synthetic-Asymptote approach. The synthetic Asymptote is an expression that fits between the Asymptotes of parameter limits and is therefore accurate throughout the parameter ranges. Despite the large number of parameters involved in the design of a grid buried in earth, the method is still simple enough to give good physical insight.

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

  • The species–area relationship does not have an Asymptote!
    Journal of Biogeography, 2008
    Co-Authors: Mark Williamson, Kevin J. Gaston, W. M. Lonsdale
    Abstract:

    Aim To attack a widespread myth. Location World-wide. Methods Simple mathematical logical and empirical examples. Results As both species and area are finite and non-negative, the species–area relationship is limited at both ends. The log species–log area relationship is normally effectively linear on scales from about 1 ha to 107 km2. There are no Asymptotes. At the intercontinental scale it may get steeper; at small scales it may in different cases get steeper or shallower or maintain its slope. Main conclusion The species–area relationship does not have an Asymptote.

  • the species area relationship does not have an Asymptote
    Journal of Biogeography, 2008
    Co-Authors: Mark Williamson, Kevin J. Gaston, W. M. Lonsdale
    Abstract:

    Aim To attack a widespread myth. Location World-wide. Methods Simple mathematical logical and empirical examples. Results As both species and area are finite and non-negative, the species–area relationship is limited at both ends. The log species–log area relationship is normally effectively linear on scales from about 1 ha to 107 km2. There are no Asymptotes. At the intercontinental scale it may get steeper; at small scales it may in different cases get steeper or shallower or maintain its slope. Main conclusion The species–area relationship does not have an Asymptote.

Thomas J Csordas - One of the best experts on this subject based on the ideXlab platform.

  • Asymptote of the ineffable
    Current Anthropology, 2004
    Co-Authors: Thomas J Csordas
    Abstract:

    Alterity is the phenomenological kernel of religion, and insofar as alterity is part of the structure of beingintheworld, religion is an inevitable feature of human existence. This essay elaborates these ideas by juxtaposing traditional phenomenology of religion with contemporary theorizing about alterity. The argument moves from an opening reflection about the origin of religion and the presumed interiority of religious experience to a critique that modifies the phenomenologists understanding of religions object as a majestic and wholly Other with the notion of an intimate alterity grounded in embodiment. The intimate alterity of the gendered self as embodied otherness is illustrated in a series of ethnographic moments that pinpoint the elementary structure of alterity described by the term cart. Applying these insights to contemporary events suggests that there is a sense in which political alterity is also a religious structure.

Barry W Ninham - One of the best experts on this subject based on the ideXlab platform.

  • atom atom interactions at and between metal surfaces at nonzero temperature
    Physical Review A, 2001
    Co-Authors: Mathias Bostrom, Jevon J Longdell, Barry W Ninham
    Abstract:

    We have investigated the temperature-dependent Casimir-Polder interaction between two oscillators in the proximity of metal surfaces. The interaction near a single metal surface has much in common with the interaction in free space. However, at any finite temperature the long-range Asymptote is equal to the high-temperature Asymptote. This Asymptote, which originates not from the n=0 0 term in the Matsubara summation but from thermal population of the n>0 terms, is F(R) = -2k B Tα 2 0 /R 6 . This should be compared with the more rapidly decaying zero-temperature Casimir-Polder Asymptote, F(R) -13/cα 2 0 /(2πR 7 ). The interaction in the midplane between two metallic surfaces is very different. The nonretarded interaction decreases exponentially and the interaction is dominated by an enhanced Casimir-Polder-like Asymptote. At large separations this Asymptote also decays exponentially. For any relevant temperatures the long-range Asymptote is no longer equal to the high-temperature limit. In other words crossover to a classical limit found for the long-range interaction in free space, and on a metal surface, is not always valid in a narrow cavity.

Youness Mir - One of the best experts on this subject based on the ideXlab platform.

  • exponential growth model from horizontal to linear Asymptote
    Communications in Statistics - Simulation and Computation, 2014
    Co-Authors: Francois Dubeau, Youness Mir
    Abstract:

    We present a smooth function that can be used as regression curve for modeling growth phenomena requiring an increasing curvilinear concave Asymptote. This model is obtained as the product of a concave asymptotic curve and the exponential model. In addition to its increasing character with a curvilinear Asymptote, including horizontal or linear increasing Asymptote, the resulting model provides curves with a single inflection point. Numerical examples are presented.

  • Growth Models with Oblique Asymptote
    Mathematical Modelling and Analysis, 2013
    Co-Authors: Francois Dubeau, Youness Mir
    Abstract:

    Abstract A class of smooth functions which can be used as regression models for modelling phenomena requiring an oblique Asymptote is analyzed. These types of models were defined as a product of a linear function and some well known growth models. In addition to their increasing character with an oblique Asymptote, the resulting models provide curves with a single inflection point.