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  1. 7301
    “…At the ontic level we operate with infinite trees. Algebraically such mathematical structures are represented as p-adic numbers. …”
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    Rao-Fisher information geometry and dynamics of the event-universe views distributions
  2. 7302
    por Pashazadeh, Saeid, Sharifi, Mohsen
    Publicado 2009
    “…In this paper we use algebraic geometry to formally model 2-dimensional acoustic target tracking and then prove its best degree of required sensing coverage. …”
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    Determining the Best Sensing Coverage for 2-Dimensional Acoustic Target Tracking
  3. 7303
    “…The contrast between the phonetic and phonological capacities of these individuals demonstrates that the algebraic engine that generates phonological patterns is distinct from the phonetic interface that implements them. …”
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    Dyslexia Impairs Speech Recognition but Can Spare Phonological Competence
  4. 7304
    “…Results: In Bellman’s GAP, dynamic programming algorithms are described in a declarative style by tree grammars, evaluation algebras and products formed thereof. This bypasses the design of explicit dynamic programming recurrences and yields programs that are free of subscript errors, modular and easy to modify. …”
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    Bellman’s GAP—a language and compiler for dynamic programming in sequence analysis
  5. 7305
    “…Cryo-electron microscopy projection image analysis and tomography is used to describe the overall architecture of influenza B/Lee/40. Algebraic reconstruction techniques with utilization of volume elements (blobs) are employed to reconstruct tomograms of this pleomorphic virus and distinguish viral surface spikes. …”
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    Morphology of Influenza B/Lee/40 Determined by Cryo-Electron Microscopy
  6. 7306
    por Dittwald, Piotr, Valkenborg, Dirk
    Publicado 2014
    “…The algorithm is based on the classic polynomial method for calculating aggregated isotope distributions, and it introduces algebraic identities using Newton-Girard and Viète’s formulae to solve the problem of polynomial expansion. …”
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    BRAIN 2.0: Time and Memory Complexity Improvements in the Algorithm for Calculating the Isotope Distribution
  7. 7307
    “…This prediction was facilitated by the observation that splicing is a linear process and by deriving simple algebraic expressions from a model of co- and post-transcriptional splicing and RNA surveillance that determines the rate of the nonsense-mediated decay (NMD) of the pre-mRNAs with the retained intron. …”
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    Quantification of pre-mRNA escape rate and synergy in splicing
  8. 7308
    “…Here, we propose the differential quasi-steady state approximation (dQSSA) kinetic model, which expresses the differential equations as a linear algebraic equation. It eliminates the reactant stationary assumptions of the Michaelis Menten model without increasing model dimensionality. …”
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    A generalised enzyme kinetic model for predicting the behaviour of complex biochemical systems
  9. 7309
    “…In addition, we find a new significant and a priori unexpected deviation from classicality, which can exactly be explained by assuming that human reasoning is the superposition of an “emergent reasoning” and a “logical reasoning,” and that these two processes are represented in a Fock space algebraic structure.…”
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    Quantum structure of negation and conjunction in human thought
  10. 7310
    “…In addition to providing linear-algebraic insights unique to GBNs, leading to significant runtime improvements, we demonstrate the effectiveness of our method on data simulated with GBNs and the DREAM4 network inference challenge data sets. …”
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    Reconstructing Causal Biological Networks through Active Learning
  11. 7311
    “…A statistical analysis reveals that the collapse size is approximately algebraically distributed, indicating the emergence of self-organized criticality. …”
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    Growth, collapse, and self-organized criticality in complex networks
  12. 7312
    “…Furthermore, we characterize the emergent structures by metrics of graph theory and algebraic topology of graphs, and 4-point test for the intrinsic hyperbolicity of the networks. …”
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    Hidden geometries in networks arising from cooperative self-assembly
  13. 7313
    por Zuo, Le, Pan, Jin, Ma, Boyuan
    Publicado 2018
    “…The 3-D parameters are decoupled to different spectrums in the Fourier domain. Algebraic relations are established between the 3-D localization parameters and the Fourier spectrums. …”
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    Analytic and Unambiguous Phase-Based Algorithm for 3-D Localization of a Single Source with Uniform Circular Array
  14. 7314
    por Bhattacharya, Sudipta
    Publicado 2018
    “…The proposed estimator produces a single numerical value, the interpretation and meaningfulness of which are discussed through the analysis of a real-life clinical dataset. The algebraic expression of variance is derived, asymptotic normality of the estimator is noted, and demonstration is provided on how the estimator can be used in the setup of testing of statistical hypothesis. …”
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    A novel approach for analyzing data on recurrent events with duration to estimate the combined cumulative rate of both variables over time
  15. 7315
    por West, John B.
    Publicado 2018
    “…In the early days, the understanding of the mechanisms of pulmonary gas exchange relied on graphical analysis because the oxygen and carbon dioxide dissociation curves are nonlinear and interdependent which precluded algebraic methods. However, with the introduction of digital computing, problems that had hitherto been impossible to tackle became amenable to study. …”
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    A lifetime of pulmonary gas exchange
  16. 7316
    por Ellenbroek, Marcel, Schilder, Jurnan
    Publicado 2017
    “…An advantage of the method presented in this work is that the resulting equations of motion are of the differential rather than the differential-algebraic type. At the same time, it is possible to use well-developed model order reduction techniques on the flexible bodies locally. …”
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    On the use of absolute interface coordinates in the floating frame of reference formulation for flexible multibody dynamics
  17. 7317
    por Bond, Simon
    Publicado 2018
    “…This separation leads directly to scalar, rather than matrix, algebraic manipulations to provide closed‐form expressions for standard errors of the treatment effect estimate. …”
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    Theory of general balance applied to step wedge designs
  18. 7318
    por Beauducel, André, Hilger, Norbert
    Publicado 2019
    “…This estimation method is termed score predictor factor analysis and algebraically compared with Minres factor analysis as well as principal component analysis. …”
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    Score Predictor Factor Analysis: Reproducing Observed Covariances by Means of Factor Score Predictors
  19. 7319
    “…The resulting system of differential‐algebraic equations with embedded optimization criteria (DAEO) is solved by a tailor‐made toolbox. …”
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    Multiscale dynamic modeling and simulation of a biorefinery
  20. 7320
    “…The model can be solved algebraically for steady state conditions and constrained with data on elemental stoichiometry from published laboratory chemostat studies. …”
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    A Mechanistic Model of Macromolecular Allocation, Elemental Stoichiometry, and Growth Rate in Phytoplankton
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