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Journal articles on the topic 'Unified Expressions'

Author: Grafiati

Published: 19 February 2023

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1

Ji, Zhe, You Zheng Wang, and Jian Hua Lu. "MGF-Based Effective Capacity for Generalized Fading Channels." Applied Mechanics and Materials 519-520 (February 2014): 929–33. http://dx.doi.org/10.4028/www.scientific.net/amm.519-520.929.

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In this paper, we study the effective capacity (EC) which was proposed to measure the quality of service (QoS) for fading channels. A unified expression for the effective capacity based on the method of moment generating function (MGF) is proposed. The unified expression applies to various fading channels and is derived for both single antenna and multiple antenna diversity system. The mathematical expression is illustrated with Nakagami-m fading channels and closed form expressions are derived in this case. The simulation results verify the consistence of the closed-form expressions with numerical evaluations.

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2

HUANG, YONG-CHANG, XI-GUO LEE, and MING-XUE SHAO. "UNIFIED EXPRESSIONS OF ALL INTEGRAL VARIATIONAL PRINCIPLES." Modern Physics Letters A 21, no. 14 (May 10, 2006): 1107–15. http://dx.doi.org/10.1142/s0217732306019232.

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In terms of the quantitative causal principle, this paper obtains a general variational principle, gives unified expressions of the general, Hamilton, Voss, Hölder, Maupertuis–Lagrange variational principles of integral style, the invariant quantities of the general, Voss, Hölder, Maupertuis–Lagrange variational principles are given, finally the Noether conservation charges of the general, Voss, Hölder, Maupertuis–Lagrange variational principles are deduced, and the intrinsic relations among the invariant quantities and the Noether conservation charges of all the integral variational principles are achieved.

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3

Huang, Y. C. "Unified expressions of all differential variational principles." Mechanics Research Communications 30, no. 6 (November 2003): 567–72. http://dx.doi.org/10.1016/s0093-6413(03)00057-0.

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4

Szabolcsi, Anna. "Unconditionals and free choice unified." Semantics and Linguistic Theory 29 (December 9, 2019): 320. http://dx.doi.org/10.3765/salt.v29i0.4616.

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Rawlins (2013: 160) observes that both unconditionals and more classical free choice can be meta-characterized using orthogonality, but does not actually unify the two. One reason may be that in English, different expressions serve in these roles. By contrast, in Hungarian, AKÁR expressions serve as NPIs, FCIs, and unconditional adjuncts, but not as interrogatives or free relatives. This paper offers a unified account of the Hungarian data, extending Chierchia 2013 and Dayal 2013. The account produces the same unconditional meanings that Rawlins derives from an interrogative basis. This result highlights the fact that sets of alternatives arise from different morpho-syntactic sources and are utilized by the grammar in different ways, but the results may fully converge.

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5

Callegaro, Luca. "Unified derivation of Johnson and shot noise expressions." American Journal of Physics 74, no. 5 (May 2006): 438–40. http://dx.doi.org/10.1119/1.2174034.

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6

McLaurin, Sandra C. "A Unified Way to Teach the Solution of Inequalities." Mathematics Teacher 78, no. 2 (February 1985): 91–95. http://dx.doi.org/10.5951/mt.78.2.0091.

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7

MANTZAVINOS, DIONYSSIOS, and ATHANASSIOS S. FOKAS. "The unified method for the heat equation: I. non-separable boundary conditions and non-local constraints in one dimension." European Journal of Applied Mathematics 24, no. 6 (July 18, 2013): 857–86. http://dx.doi.org/10.1017/s0956792513000223.

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We use the heat equation as an illustrative example to show that the unified method introduced by one of the authors can be employed for constructing analytical solutions for linear evolution partial differential equations in one spatial dimension involving non-separable boundary conditions as well as non-local constraints. Furthermore, we show that for the particular case in which the boundary conditions become separable, the unified method provides an easier way for constructing the relevant classical spectral representations avoiding the classical spectral analysis approach. We note that the unified method always yields integral expressions which, in contrast to the series or integral expressions obtained by the standard transform methods, are uniformly convergent at the boundary. Thus, even for the cases that the standard transform methods can be implemented, the unified method provides alternative solution expressions which have advantages for both numerical and asymptotic considerations. The former advantage is illustrated by providing the numerical evaluation of typical boundary value problems.

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8

Li, Ruijie, Yufei Luo, and Anhong Dang. "Unified expressions of ASEP over Málaga (M) turbulence channel." Optics Communications 423 (September 2018): 74–80. http://dx.doi.org/10.1016/j.optcom.2018.04.030.

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9

Gibbs, Raymond W., and Guy Van Orden. "Are emotional expressions intentional?" Consciousness & Emotion 4, no. 1 (November 4, 2003): 1–16. http://dx.doi.org/10.1075/ce.4.1.02gib.

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This paper discusses the debate over whether emotional expressions are spontaneous or intentional actions. We describe a variety of empirical evidence supporting these two possibilities. But we argue that the spontaneous-intentional distinction fails to explain the psychological dynamics of emotional expressions. We claim that a complex systems perspective on intentions, as self-organized critical states, may yield a unified view of emotional expressions as a consequence of situated action. This account simultaneously acknowledges the embodied status of environment, evolution, culture and mind in theories of emotion.

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10

Cui, Xuemiao, Jiping Lu, and Yafeng Han. "A Novel Unified Data Modeling Method for Equipment Lifecycle Integrated Logistics Support." Sensors 22, no. 11 (June 3, 2022): 4265. http://dx.doi.org/10.3390/s22114265.

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Integrated logistics support (ILS) is of great significance for maintaining equipment operational capability in the whole lifecycle. Numerous segments and complex product objects exist in the process of equipment ILS, which gives ILS data multi-source, heterogeneous, and multidimensional characteristics. The present ILS data cannot satisfy the demand for efficient utilization. Therefore, the unified modeling of ILS data is extremely urgent and significant. In this paper, a unified data modeling method is proposed to solve the consistent and comprehensive expression problem of ILS data. Firstly, a four-tier unified data modeling framework is constructed based on the analysis of ILS data characteristics. Secondly, the Core unified data model, Domain unified data model, and Instantiated unified data model are built successively. Then, the expressions of ILS data in the three dimensions of time, product, and activity are analyzed. Thirdly, the Lifecycle ILS unified data model is constructed, and the multidimensional information retrieval methods are discussed. Based on these, different systems in the equipment ILS process can share a set of data models and provide ILS designers with relevant data through different views. Finally, the practical ILS data models are constructed based on the developed unified data modeling software prototype, which verifies the feasibility of the proposed method.

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11

Schmitz-Hübsch, Alina, and Ron Becker. "A unified valence scale based on diagnosis of facial expressions." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 66, no. 1 (September 2022): 1056–59. http://dx.doi.org/10.1177/1071181322661500.

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Affect-adaptive systems detect the emotional user state, assess it against the current situation, and adjust interaction accordingly. Tools for real-time emotional state detection, like the Emotient FACET engine (Littlewort et al., 2011), are based on the analysis of facial expressions. When developing affect-adaptive systems, output from the diagnostic engine must be mapped onto theoretical models of emotion. The Circumplex Model of Affect (Russell, 1980) describes emotion on two dimensions: valence and arousal. However, FACET offers three classifiers for valence: positive, neutral, and negative valence. The present study aimed at developing an algorithm that converts these into a unified valence scale. We used FACET to analyze valence-labeled images from the AffectNet database. In a multiple regression analysis, FACET classifier values predicted database valence and explained 38% of the variance. By inserting classifier values into the regression equation, a unified valence scale can be calculated that matches dimensional models of emotion. This research forms the groundwork for adaptation of the emotional user state based on the FACET engine. A future affect-adaptive system can now use the FACET engine to detect the emotional user state on a unified valence dimension, which allows for distinct classification and interpretation of emotions.

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12

Peng, Jun, George Kitis, Amr M. Sadek, Eren C. Karsu Asal, and Zhenguo Li. "Thermoluminescence glow-curve deconvolution using analytical expressions: A unified presentation." Applied Radiation and Isotopes 168 (February 2021): 109440. http://dx.doi.org/10.1016/j.apradiso.2020.109440.

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13

LEE, CHAN-SU, and DIMITRIS SAMARAS. "ANALYSIS AND CONTROL OF FACIAL EXPRESSIONS USING DECOMPOSABLE NONLINEAR GENERATIVE MODELS." International Journal of Pattern Recognition and Artificial Intelligence 28, no. 05 (July 31, 2014): 1456009. http://dx.doi.org/10.1142/s0218001414560096.

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Facial expressions convey personal characteristics and subtle emotional states. This paper presents a new framework for modeling subtle facial motions of different people with different types of expressions from high-resolution facial expression tracking data to synthesize new stylized subtle facial expressions. A conceptual facial motion manifold is used for a unified representation of facial motion dynamics from three-dimensional (3D) high-resolution facial motions as well as from two-dimensional (2D) low-resolution facial motions. Variant subtle facial motions in different people with different expressions are modeled by nonlinear mappings from the embedded conceptual manifold to input facial motions using empirical kernel maps. We represent facial expressions by a factorized nonlinear generative model, which decomposes expression style factors and expression type factors from different people with multiple expressions. We also provide a mechanism to control the high-resolution facial motion model from low-resolution facial video sequence tracking and analysis. Using the decomposable generative model with a common motion manifold embedding, we can estimate parameters to control 3D high resolution facial expressions from 2D tracking results, which allows performance-driven control of high-resolution facial expressions.

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14

MANTZAVINOS, D., and A. S. FOKAS. "The unified transform for the heat equation: II. Non-separable boundary conditions in two dimensions." European Journal of Applied Mathematics 26, no. 6 (June 4, 2015): 887–916. http://dx.doi.org/10.1017/s0956792515000224.

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We use the two-dimensional heat equation as an illustrative example to show that the unified transform is capable of constructing analytical solutions for linear evolution partial differential equations (PDEs) in two spatial dimensions involving non-separable boundary conditions. Such non-separable boundary value problems apparently cannot be solved by the usual transforms. We note that the unified transform always yields integral expressions which, in contrast to the expressions obtained by the usual transforms, have the advantage that are uniformly convergent at the boundary. Thus, even for the cases of separable boundary value problems where the usual transforms can be implemented, the unified transform provides alternative solution expressions which have advantages for both numerical and asymptotic considerations. The former advantage is illustrated by providing the numerical evaluation of a typical boundary value problem, by extending the approach of Flyer and Fokas (2008Proc. R. Soc.464, 1823–1849). This work is the two-dimensional continuation of the heat equation with oblique Robin boundary conditions which was analysed in Mantzavinos and Fokas (2013Eur. J. Appl. Math.24(6), 857–886.

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15

Islam, S. M. S., A. K. Z. Ahmed, H. Gunarto, and A. A. K. Majumdar. "A Unified Approach to the Sandor-Smarandache Function." Journal of Scientific Research 14, no. 3 (September 1, 2022): 699–720. http://dx.doi.org/10.3329/jsr.v14i3.56205.

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The Sandor-Smarandache function, SS(n), is a recently introduced Smarandache-type arithmetic function, which involves binomial coefficients. It is known that SS(n) does not possess many of the common properties of the classical arithmetic functions of the theory of numbers. Sandor gave the expression of SS(n) when n ( ³ 3) is an odd integer. It is found that SS(n) has a simple form when n is even and not divisible by 3. In the previous papers, some closed-form expressions of SS(n) have been derived for some particular cases of n. This paper continues to find more forms of SS(n), starting from the function SS(24m). Particular attention is given to finding necessary and sufficient conditions such that SS(n) = n–5 and SS(n) = n–6. Based on the properties of SS(n), some interesting Diophantine equations have been studied. The study reveals that the form of SS(n) depends on the prime factors of the integer n in the natural order of the primes.

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16

Liang, Haodong, Yiming Li, Maoke Miao, Chao Gao, and Xiaofeng Li. "Unified Performance Analysis of MIMO Mixed RF/FSO Relaying System." Applied Sciences 11, no. 7 (March 29, 2021): 3054. http://dx.doi.org/10.3390/app11073054.

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This paper investigates the asymmetric dual–hop multiple input multiple output (MIMO) mixed radio frequency (RF)/free space optical (FSO) decode–and–forward (DF) relaying system. This kind of system can utilize two different fading characteristic channels to reduce the possibility of the system falling into deep fading. In addition, each link of the system adopts MIMO technology to mitigate the disadvantages of fading. In this paper, the closed form expressions of the outage probability, bit error rate (BER) and average ergodic capacity are derived. The approximate expression of the system outage probability considering the pointing error is also derived. Additionally, asymptotic performance for diversity order and diversity–multiplexing tradeoff (DMT) of the system is analyzed and discussed, which provides direct theoretical basis for practical engineering design.

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17

Pantelidis, Lysandros. "The Generalized Coefficients of Earth Pressure: A Unified Approach." Applied Sciences 9, no. 24 (December 4, 2019): 5291. http://dx.doi.org/10.3390/app9245291.

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This paper offers an extension of Cauchy’s first law of motion to deformable bodies with internal resistance with application to earth pressures. In this respect, a unified continuum mechanics approach for deriving earth pressure coefficients for all soil states, applicable to cohesive-frictional soils and both horizontal and vertical pseudo-static conditions is proposed. Adopting Jaky’s (1944) sand heap hypothesis, modified suitably to accommodate the needs of the present research, the analysis led to generalized, yet remarkably simple in form, expressions for the “at rest”, active and passive earth pressure coefficients. The validity of the proposed coefficients is strongly supported by the fact that, under static conditions they are transformed into the well-known Rankine’s expressions for cohesive-frictional soils for the active and passive state. Comparisons with widely used solutions (e.g., Rankine’s and Mononobe–Okabe’s), design code practices (Eurocode 8-5; AASHTO), and results from centrifuge tests further support the validity of the proposed coefficients. In the framework of the present work, analytical expressions for the calculation of the depth of neutral zone in the state “at rest”, the depth of tension crack in the active state, the required wall movement for the mobilization of the active or passive state, as well as the mobilized shear strength of soil (for all states) are also given. Finally, following the proposed approach, the earth pressure can be calculated for any intermediate state between the state “at rest” and the active or passive state when the allowable wall movement is known.

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18

Li, Xiao Wei, Jun Hai Zhao, and Qi Yao Wang. "Unified Stresses Solution for Sheet Forming." Advanced Materials Research 463-464 (February 2012): 629–33. http://dx.doi.org/10.4028/www.scientific.net/amr.463-464.629.

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Based on unified strength theory, the unified stresses solution for sheet forming is presented according to mechanical analysis developed, and accurate enough for much material due to the contributions of both intermediate principal shear stress and varying tension-compression-ratio included. Notably, by denoting a notation of h, the expressions presented to estimate stresses of billet for sheet forming can be apply to both drawing and extrusion. In addition, when material has identical strength in tension and compression, i.e., the tension-compression-ratio of the material is equal to unit, the stresses solution based on unified strength theory become that based on unified yield criterion. Accordingly, it can be proved that the stresses solution based on Mises criterion is just a special case of that based on unified yield criterion.

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19

Stojkovic, Lazar, and Dijana Mosic. "Expressions for the Drazin inverse of a modified matrix." Filomat 32, no. 18 (2018): 6387–94. http://dx.doi.org/10.2298/fil1818387s.

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We present some new expressions for the Drazin inverse of a modified matrix A-CDDB in terms of the Drazin inverse of A and its generalized Shur?s complementD-BADC under weaker conditions. Some results in recent literature are unified and generalized, and most importantly, we obtain new expressions of generalized Sherman-Morrison-Woodbury formula under weaker restrictions.

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20

Kundu, B., and P. K. Das. "Optimum Profile of Thin Fins With Volumetric Heat Generation: A Unified Approach." Journal of Heat Transfer 127, no. 8 (January 18, 2005): 945–48. http://dx.doi.org/10.1115/1.1929784.

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In this paper, a generalized methodology for the optimum design of thin fins with uniform volumetric heat generation is described. Using variational calculus, the optimum profiles of longitudinal, annular, and pin fins are determined from the basic fin equation under the constraint of specified fin volume. From a common optimality criteria, a generalized closed form expression for the fin thickness is obtained for the above three types of fins. Closed-form expressions are also obtained for the optimum profiles of longitudinal and pin fins. As a special case, both the temperature profile and the shape of optimum fins without heat generation are determined.

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21

Hinov, Nikolay. "New Method for Analysis and Design Consideration of Voltage Source Inverters." Energies 15, no. 10 (May 18, 2022): 3695. http://dx.doi.org/10.3390/en15103695.

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This manuscript proposes a new unified approach for the analysis of voltage source inverters that summarizes and unifies the operating modes of a whole class of inverters powered by a voltage source: resonant, aperiodic and voltage source inverters. The study was performed on a full-bridge circuit of a series RLC inverter with reverse diodes, operating in aperiodic mode. Based on the community of processes in the power circuits, the expressions for the current through the load and the voltage of the capacitor in condensed form with their initial phases are determined. These basic ratios are presented in a normalized form according to the control frequency, thus summarizing the operation of the inverters with a control frequency below and above the quasi-resonant. A methodology for designing a voltage source inverter was developed, considered as a special case of a series RLC inverter with inverse diodes when operating in aperiodic mode and super-quasi-resonant frequency. The reliability of the obtained results was verified by comparison with the use of the classical methodology for design and computer simulations. The presented approach is useful from a methodological point of view, as it allows us, with a unified approach and through general mathematical expressions, to describe and study the processes in a significant part of DC/AC converters.

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22

Polyakov, K. Yu. "TASKS ON MATEMATICAL LOGIC IN THE INFORMATICS UNIFIED STATE EXAM." Informatics in school, no. 9 (December 18, 2019): 29–35. http://dx.doi.org/10.32517/2221-1993-2019-18-9-29-35.

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The article presents an overview of the tasks on analysis of logical expressions included in test materials for the Unified State Exam on informatics. Solutions to a number of such tasks are given based on analytical and graph-analytical methods.

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23

Hossain, Sanoar, Saiyed Umer, Vijayan Asari, and Ranjeet Kumar Rout. "A Unified Framework of Deep Learning-Based Facial Expression Recognition System for Diversified Applications." Applied Sciences 11, no. 19 (October 2, 2021): 9174. http://dx.doi.org/10.3390/app11199174.

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This work proposes a facial expression recognition system for a diversified field of applications. The purpose of the proposed system is to predict the type of expressions in a human face region. The implementation of the proposed method is fragmented into three components. In the first component, from the given input image, a tree-structured part model has been applied that predicts some landmark points on the input image to detect facial regions. The detected face region was normalized to its fixed size and then down-sampled to its varying sizes such that the advantages, due to the effect of multi-resolution images, can be introduced. Then, some convolutional neural network (CNN) architectures were proposed in the second component to analyze the texture patterns in the facial regions. To enhance the proposed CNN model’s performance, some advanced techniques, such data augmentation, progressive image resizing, transfer-learning, and fine-tuning of the parameters, were employed in the third component to extract more distinctive and discriminant features for the proposed facial expression recognition system. The performance of the proposed system, due to different CNN models, is fused to achieve better performance than the existing state-of-the-art methods and for this reason, extensive experimentation has been carried out using the Karolinska-directed emotional faces (KDEF), GENKI-4k, Cohn-Kanade (CK+), and Static Facial Expressions in the Wild (SFEW) benchmark databases. The performance has been compared with some existing methods concerning these databases, which shows that the proposed facial expression recognition system outperforms other competing methods.

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24

Shajib, Anowar J. "Unified lensing and kinematic analysis for any elliptical mass profile." Monthly Notices of the Royal Astronomical Society 488, no. 1 (July 1, 2019): 1387–400. http://dx.doi.org/10.1093/mnras/stz1796.

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ABSTRACT We demonstrate an efficient method to compute the strong-gravitational-lensing deflection angle and magnification for any elliptical surface density profile. This method solves a numerical hurdle in lens modelling that has lacked a general solution for nearly three decades. The hurdle emerges because it is prohibitive to derive analytic expressions of the lensing quantities for most elliptical mass profiles. In our method, we first decompose an elliptical mass profile into concentric Gaussian components. We introduce an integral transform that provides us with a fast and accurate algorithm for this Gaussian decomposition. We derive analytic expressions of the lensing quantities for a Gaussian component. As a result, we can compute these quantities for the total mass profile by adding up the contributions from the individual components. This lensing analysis self-consistently completes the kinematic description in terms of Gaussian components presented by Cappellari (2008). Our method is general without extra computational burden unlike other methods currently in use.

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25

Mariano, Paolo Maria. "Influence of the material substructure on crack propagation: a unified treatment." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2054 (February 8, 2005): 371–95. http://dx.doi.org/10.1098/rspa.2004.1392.

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The influence of the material texture (substructure) on the force driving the crack tip in complex materials is analysed in a three–dimensional continuum setting. The theory proposed accounts for finite deformations and general coarse–grained morphological descriptors of the substructure. A modified expression of the J integral is obtained together with other path integrals which are necessary to treat cases in which the process zone around the tip has finite size. They allow also us to consider the influence of the presence of diffused interfaces in multiphase solids on crack propagation. The results can be applied to a very wide class of material substructures occurring in condensed matter. To indicate possible applications, the behaviour of cracks in ferroelectrics and in materials with strain–gradient effects is discussed: the specializations of the general results reduce to expressions that fit reasonably experimental data.

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26

Han, Lin, Dawei Zhang, Yanling Tian, Fujun Wang, and Hui Xiao. "Static stiffness modeling and sensitivity analysis for geared system used for rotary feeding." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 8 (October 21, 2013): 1431–43. http://dx.doi.org/10.1177/0954406213508387.

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The positioning accuracy of rotary feed system under load greatly depends on the static stiffness of mechanical transmission system. This paper proposes a unified static stiffness model of rotary feed system with geared transmission system. Taking the torsional stiffness of transmission shaft and mesh stiffness of gear pairs into account, the motion equations of the whole transmission system are presented. Based on the static equilibrium, a unified expression for the relationship between torsional angles of two adjacent elements is derived. Then a unified static stiffness model is presented. Furthermore, analytical expressions for sensitivity analysis of the static stiffness on the individual element’s stiffness and design parameters are derived. The presented model is verified by a traditional model, and a good agreement is obtained. The influence of phase angle of meshing gear pairs on the resultant static stiffness is investigated. An example transmission system is employed to perform the sensitivity analysis and the results are analyzed. The proposed model provides an essential tool for the design of rotary feed system satisfying requirement of static stiffness.

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27

Gregorics, Tibor, and Zsolt Borsi. "A unified approach of program verification." Acta Universitatis Sapientiae, Informatica 9, no. 1 (July 26, 2017): 65–82. http://dx.doi.org/10.1515/ausi-2017-0005.

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Abstract The subject of this paper is a program verification method that takes into account abortion caused by partial functions in program statements. In particular, boolean expressions of various statements will be investigated that are not well-defined. For example, a loop aborts if its execution begins in a state for which the loop condition is undefined. This work considers the program constructs of nondeterministic sequential programs and also deals with the synchronization statement of parallel programs introduced by Owicki and Gries [7]. The syntax of program constructs will be reviewed and their semantics will be formally defined in such a way that they suit the relational model of programming developed at Eőtvős Loránd University [3, 4]. This relational model defines the program as a set of its possible executions and also provides definition for other important programming notions like problem and solution. The proof rules of total correctness [2, 5, 8, 9, 7] will be extended by treating abortion caused by partial functions. The use of these rules will be demonstrated by means of a verification case study.

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SHUR, M. S., T. A. FJELDLY, T. YTTERDAL, and K. LEE. "UNIFIED GaAs MESFET MODEL FOR CIRCUIT SIMULATIONS." International Journal of High Speed Electronics and Systems 03, no. 02 (June 1992): 201–33. http://dx.doi.org/10.1142/s0129156492000084.

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We describe a new, unified model for MEtal Semiconductor Field Effect Transistors (MESFETs) which covers all ranges of operation, including the subthreshold regime. The current-voltage (I-V) and capacitance-voltage (C-V) characteristics are described by continuous, analytical expressions with relatively few, physically based parameters. The model includes effects such as velocity saturation, parasitic series resistances, the dependence of the threshold voltage on drain bias, finite output conductance in saturation, and temperature dependence of the device parameters. We also describe a parameter extraction routine which allows the model parameters to be derived in a straightforward fashion from experimental data. The model has been incorporated into our new circuit simulator AIM-Spice. The new device characterization is applied with good results to a typical ion-implanted GaAs MESFET and a delta-doped MESFET.

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29

Karatza, Georgia P., Kostas P. Peppas, Nikos C. Sagias, and George V. Tsoulos. "Unified Ergodic Capacity Expressions for AF Dual-Hop Systems With Hardware Impairments." IEEE Communications Letters 23, no. 6 (June 2019): 1057–60. http://dx.doi.org/10.1109/lcomm.2019.2908902.

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30

Benmamoun, Elabbas, and Heidi Lorimor. "Featureless Expressions: When Morphophonological Markers Are Absent." Linguistic Inquiry 37, no. 1 (January 2006): 1–23. http://dx.doi.org/10.1162/002438906775321157.

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Ackema and Neeleman (2003) discuss three phenomena that arise in the context of agreement and pronominals: agreement asymmetries, cliticization, and null subjects. They develop a unified analysis for these phenomena, claiming that they all involve a process of weakening within prosodic domains. While we agree with their important insight that the PF interface is responsible for some of these phenomena, we will argue against their weakening analysis. We provide arguments that agreement asymmetries cannot be uniformly analyzed as involving the same processes as phonological cliticization or null subjects. We instead propose that the observed asymmetries arise because of the alternative forms of spelling out features at the PF interface.

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31

Liu, Zhanke, Yu Yang, Xuhong Zhou, and Ziqi He. "Unified formulae for critical load and unified DSM expressions for pinned-end and fixed-end columns exhibiting pure distortional buckling." Thin-Walled Structures 151 (June 2020): 106746. http://dx.doi.org/10.1016/j.tws.2020.106746.

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32

Roberts, Kathleen Glenister. "Nostalgia, lost connections and the ‘Sudden Unified Self’." Explorations in Media Ecology 19, no. 2 (June 1, 2020): 151–60. http://dx.doi.org/10.1386/eme_00032_1.

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The study of nostalgia has enjoyed a renaissance in recent years, spanning a wide variety of disciplines. As previous scholars have suggested, nostalgia permeates our communicative environment. Ironically, from a communicative perspective, clear definitions of ‘nostalgia’ can be elusive. For the purposes of Media Ecology, a helpful definition of nostalgia concerns lost connections: relationships with other beings, not artefacts, form the communicative environment of nostalgia. When the relationships are presumed to be with objects ‐ as is often the case ‐ nostalgia can induce playful responses to pain, but also can problematize expressions of collective memory and out-group identities. This article surveys implications of ‘lost connections’ for Media Ecology.

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Chen, Lei, G. H. Wang, and Ilir F. Progri. "Unified Registration Model for Both Stationary and Mobile 3D Radar Alignment." Journal of Electrical and Computer Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/598463.

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For mobile radar, offset biases and attitude biases influence radar measurements simultaneously. Attitude biases generated from the errors of the inertial navigation system (INS) of the platform can be converted into equivalent radar measurement errors by three analytical expressions (range, azimuth, and elevation, resp.). These expressions are unique and embody the dependences between the offset and attitude biases. The dependences indicate that all the attitude biases can be viewed as and merged into some kind of offset biases. Based on this, a unified registration model (URM) is proposed which only contains radar “offset biases” in the form of system variables in the registration equations, where, in fact, the “offset biases” contain the influences of the attitude biases. URM has the same form as the registration model of stationary radar network where no attitude biases exist. URM can compensate radar offset and attitude biases simultaneously and has minor computation burden compared with other registration models for mobile radar network.

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Parmar, Rakesh, and Tibor Pogány. "On Mathieu-type series for the unified Gaussian hypergeometric functions." Applicable Analysis and Discrete Mathematics 14, no. 1 (2020): 138–49. http://dx.doi.org/10.2298/aadm190525014p.

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The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain a generalized p-extended Gauss' hypergeometric function. Related bounding inequalities for the p-generalized Mathieu-type series are also obtained. Finally, a set of various (known or new) special cases and consequences of the results earned are presented.

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Xie, Longtao, Chuanzeng Zhang, Jan Sladek, and Vladimir Sladek. "Unified analytical expressions of the three-dimensional fundamental solutions and their derivatives for linear elastic anisotropic materials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2186 (February 2016): 20150272. http://dx.doi.org/10.1098/rspa.2015.0272.

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Novel unified analytical displacement and stress fundamental solutions as well as the higher order derivatives of the displacement fundamental solutions for three-dimensional, generally anisotropic and linear elastic materials are presented in this paper. Adequate integral expressions for the displacement and stress fundamental solutions as well as the higher order derivatives of the displacement fundamental solutions are evaluated analytically by using the Cauchy residue theorem. The resulting explicit displacement fundamental solutions and their first and second derivatives are recast into convenient analytical forms which are valid for non-degenerate, partially degenerate, fully degenerate and nearly degenerate cases. The correctness and the accuracy of the novel unified and closed-form three-dimensional anisotropic fundamental solutions are verified by using some available analytical expressions for both transversely isotropic (non-degenerate or partially degenerate) and isotropic (fully degenerate) linear elastic materials.

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Liu, Binbin, Qilong Zheng, Jing Li, and Dongpeng Xu. "An In-Place Simplification on Mixed Boolean-Arithmetic Expressions." Security and Communication Networks 2022 (September 14, 2022): 1–14. http://dx.doi.org/10.1155/2022/7307139.

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Mixed Boolean-arithmetic (MBA) expression, which involves both bitwise operations (e.g., NOT, AND, and OR) and arithmetic operations (e.g., + , − , and ∗ ), is a software obfuscation scheme. On the other side, multiple methods have been proposed to simplify MBA expressions. Among them, table-based solutions are the most powerful simplification research. However, a fundamental limitation of the table-based solutions is that the space complexity of the transformation table drastically explodes with the number of variables in the MBA expression. In this study, we propose a novel method to simplify MBA expressions without any precomputed requirements. First, a bitwise expression can be transformed into a unified form, and we provide a mathematical proof to guarantee the correctness of this transformation. Then, the arithmetic reduction is smoothly performed to further simplify the expression and produce a concise result. We implement the proposed scheme as an open-source tool, named MBA-Flatten, and evaluate it on two comprehensive benchmarks. The evaluation results show that MBA-Flatten is a general and effective MBA simplification method. Furthermore, MBA-Flatten can assist malware analysis and boost SMT solvers’ performance on solving MBA equations.

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Leven, A., R. Reuter, and Y. Baeyens. "Unified analytical expressions for transimpedance and equivalent input noise current of optical receivers." IEEE Transactions on Microwave Theory and Techniques 48, no. 10 (2000): 1701–6. http://dx.doi.org/10.1109/22.873898.

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Hirschová, Milada. "Sentence Adverbials and Evidentiality." Research in Language 11, no. 2 (June 30, 2013): 131–40. http://dx.doi.org/10.2478/v10015-012-0022-8.

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The paper deals with expressions of evidence (originating in perception, inference or reported information) and their role in sentence/utterance pragmatic modification. It concentrates on the role of the so-called sentence adverbials, showing them as scoping / focussing elements the main function of which is a/ to mark focus of an utterance b/ to support speaker´s reasoning. Formal properties of evidential expressions are dissimlar to that point that they cannot be comprised into a unified category.

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Ou, Jack, and Pietro M. Ferreira. "A Unified Explanation of gm/ID-Based Noise Analysis." Journal of Circuits, Systems and Computers 24, no. 01 (November 10, 2014): 1550010. http://dx.doi.org/10.1142/s0218126615500103.

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We present an unified explanation of the transconductance-to-drain current (gm/ID)-based noise analysis in this paper. We show that both thermal noise coefficient (γ) and device noise corner frequency (f co ) are dependent on the gm/ID of a transistor. We derive expressions to demonstrate the relationship between the normalized noise power spectral density technique and the technique based on γ and f co . We conclude this letter with examples to demonstrate the practical implication of our study. Our results show that while both techniques discussed in this letter can be used to compute noise numerically, using γ and f co to separate thermal noise from flicker noise provides additional insight for optimizing noise.

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Sun, Wen Bang, He Xin Chen, Wen Bing Sun, and Hai Yan Tang. "Research on SDCT Operation Based on Transform Basic Matrix." Applied Mechanics and Materials 63-64 (June 2011): 987–90. http://dx.doi.org/10.4028/www.scientific.net/amm.63-64.987.

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With the development of information processing technology, DCT has been used more and more widely. But multidimensional DCT hasn’t unified matrix expressions, and operates using 1-D DCT to each dimension successively, which cannot embody the overall space character of multidimensional transform well. So, a new SDCT method was proposed in the paper. First, several matrix operation methods were defined. Then, the operation principle of 1-D DCT, 2-D DCT and 3-D SDCT was described in detail. The theoretical analysis shows that the SDCT makes DCT unified and succinct to express, easy to comprehend and convenient to operate.

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Zhang, Xinjian, and Xiongwei Liu. "A Unified Reproducing Kernel Method and Error Estimation for Solving Linear Differential Equation with Functional Constraints." Mathematical Problems in Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/823264.

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A unified reproducing kernel method for solving linear differential equations with functional constraint is provided. We use a specified inner product to obtain a class of piecewise polynomial reproducing kernels which have a simple unified description. Arbitrary order linear differential operator is proved to be bounded about the special inner product. Based on space decomposition, we present the expressions of exact solution and approximate solution of linear differential equation by the polynomial reproducing kernel. Error estimation of approximate solution is investigated. Since the approximate solution can be described by polynomials, it is very suitable for numerical calculation.

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Evans, Hywel. "Simpler semantics for computational and cognitive linguistics." Investigationes Linguisticae 41 (December 11, 2019): 17–31. http://dx.doi.org/10.14746/il.2018.41.2.

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Certain consequences are considered regarding a simpler, more cognitively plausible treatment of semantics in SignBased Construction Grammar, a cognitive, unification- based theory of language. It is proposed that a construction grammar may be able to improve its coverage of core linguistic phenomena in line with minimalist goals (Chomsky 1993). Suggestions are offered regarding relative clauses and wh-expressions to show that a more straightforward account is available, one that allows a unified treatment of scope for quantifiers and wh-expressions.

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Okada, Yoshimitsu. "Internal deformation due to shear and tensile faults in a half-space." Bulletin of the Seismological Society of America 82, no. 2 (April 1, 1992): 1018–40. http://dx.doi.org/10.1785/bssa0820021018.

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Abstract A complete set of closed analytical expressions is presented in a unified manner for the internal displacements and strains due to shear and tensile faults in a half-space for both point and finite rectangular sources. These expressions are particularly compact and systematically composed of terms representing deformations in an infinite medium, a term related to surface deformation and that is multiplied by the depth of observation point. Several practical suggestions to avoid mathematical singularities and computational instabilities are also presented. The expressions derived here represent powerful tools both for the observational and theoretical analyses of static field changes associated with earthquake and volcanic phenomena.

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Yin, Wan-Lee. "A Unified Formalism of Two-Dimensional Anisotropic Elasticity, Piezoelectricity and Unsymmetric Laminated Plates." Journal of Applied Mechanics 72, no. 3 (May 1, 2005): 422–31. http://dx.doi.org/10.1115/1.1828060.

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A unified formalism is presented for theoretical analysis of plane anisotropic elasticity and piezoelectricity, unsymmetric anisotropic plates, and other two-dimensional problems of continua with linear constitutive relations. Complex variables are used to reduce the governing differential equations to algebraic equations. The constitutive relation then yields an eigenrelation, which is easily solved explicitly for the material eigenvalues and eigenvectors. The latter have polynomial expressions in terms of the eigenvalues. When the eigenvectors are combined after multiplication by arbitrary analytic functions containing the corresponding eigenvalues, one obtains the two-dimensional general solution. Important results, including the orthogonality of the eigenvectors, the expressions of the pseudometrics and the intrinsic tensors, are established here for nondegenerate materials, including the case of all distinct eigenvalues. Green’s functions of the infinite domain, and of the semi-infinite domain with interior or edge singularities, are determined explicitly for the most general types of point loads and discontinuities (dislocations).

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Solt, Stephanie, and Jon Stevens. "Some three students: towards a unified account of some." Semantics and Linguistic Theory 28 (November 5, 2018): 345. http://dx.doi.org/10.3765/salt.v28i0.4436.

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This paper investigates the semantics of the some+numeral construction (e.g. Some 20 cars were involved in the accident). Contra previous analyses, we demonstrate that some+numeral is not inherently approximating, but instead can be aligned to the canonical use of some as an indefinite determiner. Drawing on estab- lished theories of the semantics of degree expressions and epistemic indefinites, we propose that on all of its uses, some encodes a domain-shifting function, which op- erates on sets of pluralities of some sort. We demonstrate that this analysis accounts for both the variable presence of an approximating effect as well as constraints on the distribution of some+numeral, and discuss some consequences for the semantics of number and degree, and for the treatment of some more generally.

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ABOLHASSANI, M. R., and F. ARDALAN. "A UNIFIED SCHEME FOR MODULAR INVARIANT PARTITION FUNCTIONS OF WZW MODELS." International Journal of Modern Physics A 09, no. 16 (June 30, 1994): 2707–39. http://dx.doi.org/10.1142/s0217751x94001102.

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We introduce a unified method which can be applied to any WZW model at arbitrary level to search systematically for modular invariant physical partition functions. Our method is based essentially on modding out a known theory on group manifold G by a discrete group Γ. We apply our method to [Formula: see text] with n=2, 3, 4, 5, 6, and to [Formula: see text] models, and obtain all the known partition functions and some new ones, and give explicit expressions for all of them.

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Leibler, S., and D. A. Huse. "Porters versus rowers: a unified stochastic model of motor proteins." Journal of Cell Biology 121, no. 6 (June 15, 1993): 1357–68. http://dx.doi.org/10.1083/jcb.121.6.1357.

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We present a general phenomenological theory for chemical to mechanical energy transduction by motor enzymes which is based on the classical "tight-coupling" mechanism. The associated minimal stochastic model takes explicitly into account both ATP hydrolysis and thermal noise effects. It provides expressions for the hydrolysis rate and the sliding velocity, as functions of the ATP concentration and the number of motor enzymes. It explains in a unified way many results of recent in vitro motility assays. More importantly, the theory provides a natural classification scheme for the motors: it correlates the biochemical and mechanical differences between "porters" such as cellular kinesins or dyneins, and "rowers" such as muscular myosins or flagellar dyneins.

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Vemuganti, Hari Priya, Dharmavarapu Sreenivasarao, Ganjikunta Siva Kumar, and Appikonda Sai Spandana. "Reduced carrier PWM scheme with unified logical expressions for reduced switch count multilevel inverters." IET Power Electronics 11, no. 5 (May 2018): 912–21. http://dx.doi.org/10.1049/iet-pel.2017.0586.

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O’Keeffe, Isabel, Ruth Singer, and Carolyn Coleman. "The expression of emotions in Kunbarlang and its neighbours in the multilingual context of western and central Arnhem Land." Pragmatics and Cognition 27, no. 1 (December 31, 2020): 83–138. http://dx.doi.org/10.1075/pc.00012.kee.

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Abstract This paper explores how emotions are expressed in the endangered Gunwinyguan language Kunbarlang and compares these expressions to those in the neighbouring Gunwinyguan language Bininj Kunwok, and neighbouring languages from other language families, Mawng (Iwaidjan) and Ndjébbana (Maningridan). As well as considering body-based emotion expressions and the tropes (metaphors and metonymies) they instantiate, we consider the range of other (non-body-based) expressions and tropes available in each language. These provide an important point of comparison with the body-part expressions, which are limited to expressions based on noun incorporation in the Gunwinyguan languages and, correspondingly, a more limited range of tropes. By outlining and comparing the linguistic tropes used to express emotions in these four languages in the highly multilingual yet socioculturally unified context of western Arnhem Land, we aim to shed further light on the relationships between linguistic figurative features and conceptual representations of emotions.

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Zhou, Lu, Shuangqiao Liu, Caiyan Li, Yuemeng Sun, Yizhuo Zhang, Yuda Li, Huimin Yuan, Yan Sun, Fengqin Xu, and Yuhang Li. "Natural Language Processing Algorithms for Normalizing Expressions of Synonymous Symptoms in Traditional Chinese Medicine." Evidence-Based Complementary and Alternative Medicine 2021 (October 11, 2021): 1–12. http://dx.doi.org/10.1155/2021/6676607.

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Background. The modernization of traditional Chinese medicine (TCM) demands systematic data mining using medical records. However, this process is hindered by the fact that many TCM symptoms have the same meaning but different literal expressions (i.e., TCM synonymous symptoms). This problem can be solved by using natural language processing algorithms to construct a high-quality TCM symptom normalization model for normalizing TCM synonymous symptoms to unified literal expressions. Methods. Four types of TCM symptom normalization models, based on natural language processing, were constructed to find a high-quality one: (1) a text sequence generation model based on a bidirectional long short-term memory (Bi-LSTM) neural network with an encoder-decoder structure; (2) a text classification model based on a Bi-LSTM neural network and sigmoid function; (3) a text sequence generation model based on bidirectional encoder representation from transformers (BERT) with sequence-to-sequence training method of unified language model (BERT-UniLM); (4) a text classification model based on BERT and sigmoid function (BERT-Classification). The performance of the models was compared using four metrics: accuracy, recall, precision, and F1-score. Results. The BERT-Classification model outperformed the models based on Bi-LSTM and BERT-UniLM with respect to the four metrics. Conclusions. The BERT-Classification model has superior performance in normalizing expressions of TCM synonymous symptoms.

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