A feature-geometric approach to verbal inflection in Onondaga

Author(s):  
Gabriela Alboiu ◽  
Michael Barrie

Iroquoian inflectional verbal morphology is well-documented in the descriptive literature, but has received less attention from a generative perspective, a fact this chapter sets to remedy. Most generative analyses rely on the notion of tense as a central category and assume a universal projection of a T(ense) Phrase in tensed/finite clauses. Onondaga (Northern Iroquoian), however, typically makes very little use of tense as a grammatical concept, despite the fact that it only allows for finite clauses. Instead, this language capitalizes on the notions of aspect and mood, thereby rendering the standard generative approach inappropriate. Consequently, this chapter argues that a feature geometric analysis, which does not rely on tense as a central concept, is better suited for analysing the Onondaga verbal inflectional domain where it is aspect that serves as the crucial ingredient in activating Infl.

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Dario L. Ringach

Abstract The normalization model provides an elegant account of contextual modulation in individual neurons of primary visual cortex. Understanding the implications of normalization at the population level is hindered by the heterogeneity of cortical neurons, which differ in the composition of their normalization pools and semi-saturation constants. Here we introduce a geometric approach to investigate contextual modulation in neural populations and study how the representation of stimulus orientation is transformed by the presence of a mask. We find that population responses can be embedded in a low-dimensional space and that an affine transform can account for the effects of masking. The geometric analysis further reveals a link between changes in discriminability and bias induced by the mask. We propose the geometric approach can yield new insights into the image processing computations taking place in early visual cortex at the population level while coping with the heterogeneity of single cell behavior.


2011 ◽  
Vol 35 (4) ◽  
pp. 477-490 ◽  
Author(s):  
Mohammad Hossein Saadatzi ◽  
Mehdi Tale Masouleh ◽  
Hamid D. Taghirad ◽  
Clément Gosselin ◽  
Philippe Cardou

The kinematic sensitivity is a unit-consistent measure that has been recently proposed as a mechanism performance index to compare robot architectures. This paper presents a robust geometric approach for computing this index for the case of planar parallel mechanisms. The physical meaning of the kinematic sensitivity is investigated through different combinations of the Euclidean and infinity norms and by means of several illustrative examples. Finally, this paper opens some avenues to the dimensional synthesis of parallel mechanisms by exploring the meaning of the global kinematic sensitivity index.


Author(s):  
Deren Gong ◽  
Xiaowei Shao ◽  
Wei Li ◽  
Dengping Duan

A new optimal linear attitude estimator is proposed for single-point attitude estimation using geometric approach, and a recursive optimal linear attitude estimator is developed through filtering noisy measurements. Dot and cross products are taken in order to eliminate the unknown parameters of relationships between measurements and Gibbs vector. The optimality criterion, which does not coincide with Wahba’s constrained criterion, yields linear attitude estimate. A prior rotation is adopted to avoid singularity which occurs when the principal angle is close to π. The recursive algorithm is achieved for the purpose of improving attitude accuracy using all past measurements. For long-term space missions, memory fading concept is introduced into recursive optimal linear attitude estimator. The optimal relative weighting is obtained through minimizing error propagation, and an efficient modification is proposed to significantly reduce the sudden increase of attitude error of recursive optimal linear attitude estimator in special cases. Numerical simulations show that the estimate of optimal linear attitude estimator is almost identical with that of the famous QUaternion ESTimator, and the accuracy provided by recursive optimal linear attitude estimator is over an order magnitude higher than that of optimal linear attitude estimator or QUaternion ESTimator in most cases.


2000 ◽  
Vol 12 (3) ◽  
pp. 597-645 ◽  
Author(s):  
J. Rubin ◽  
D. Terman

We develop geometric dynamical systems methods to determine how various components contribute to a neuronal network's emergent population behaviors. The results clarify the multiple roles inhibition can play in producing different rhythms. Which rhythms arise depends on how inhibition interacts with intrinsic properties of the neurons; the nature of these interactions depends on the underlying architecture of the network. Our analysis demonstrates that fast inhibitory coupling may lead to synchronized rhythms if either the cells within the network or the architecture of the network is sufficiently complicated. This cannot occur in mutually coupled networks with basic cells; the geometric approach helps explain how additional network complexity allows for synchronized rhythms in the presence of fast inhibitory coupling. The networks and issues considered are motivated by recent models for thalamic oscillations. The analysis helps clarify the roles of various biophysical features, such as fast and slow inhibition, cortical inputs, and ionic conductances, in producing network behavior associated with the spindle sleep rhythm and with paroxysmal discharge rhythms. Transitions between these rhythms are also discussed.


Author(s):  
Sabine Stoll ◽  
Balthasar Bickel ◽  
Jekaterina Mažara

In first language acquisition research so far little is known about the affordances involved in children's acquisition of morphologies of different complexities. This chapter discusses the acquisition of Chintang verbal morphology. Chintang is a Sino-Tibetan (Kiranti) polysynthetic language spoken in a small village in Eastern Nepal by approximately 6,000 speakers. The most complex part of Chintang morphology is verbal inflection. A large number of affixes, verb compounding, and freedom in prefix ordering results in over 1,800 verb forms of single stem verbs and more than 4,000 forms if a secondary stem is involved. In this chapter we assess the challenges of learning such a complex system, and we describe in detail what this acquisition process looks like. For this we analyze a large longitudinal acquisition corpus of Chintang.


Author(s):  
M Goel ◽  
R Sharma ◽  
S K Bhattacharyya ◽  
Tae-wan Kim

Herein, we present the design and development of a ‘Non-uniform Rational B-spline (NURBS)’ based iso-geometric approach for the analysis of a number of ‘Boundary Value Problems (BVPs)’ relevant in hydrodynamics. We propose a ‘Potential Function’ based ‘Boundary Element Method (BEM)’ and show that it holds the advantage of being computationally efficient over the other known numerical methods for a wide range of external flow problems. The use of NURBS is consistent, as inspired by the ‘iso-geometric analysis’, from geometric formulation for the body surface to the potential function representation to interpolation. The control parameters of NURBS are utilised and they have been explored to arrive at some preferable values and parameters for parameterization and the knot vector selection. Also, the present paper investigates the variational strength panel method, and its computational performance is analyzed in comparison with the constant strength panel method. The two variations have been considered, e.g. linear and quadratic. Finally, to illustrate the effectiveness and efficiency of the proposed NURBS based iso-geometric approach for the analysis of boundary value problems, five different problems (i.e. flow over a sphere, effect of the knot vector selection on analysis, flow over a rectangular wing section of NACA 0012 aerofoil section, performance of DTMB 4119 propeller (un-skewed), performance of DTNSDRC 4382 propeller (skewed)) are considered. The results show that in the absence of predominant viscous effects, a ‘Potential Function’ based BEM with NURBS representation performs well with very good computational efficiency and with less complexity as compared to the results available from the existing approaches and commercial software programs, i.e. low maximum errors close to 110−3 , faster convergence with even up to 75 % reduction in the number of panels and improvements in the computational efficiency up to 32.5 % even with low number of panels.


2017 ◽  
Vol 7 (1) ◽  
pp. 163
Author(s):  
Bashir Mostufa Alnajadat

The correlation between Pro-drop and the nature of verbal morphology is a universal principle. This syntactic phenomenon has been parameterized on the basis of verb inflection. Rich verbal inflection has been advocated to allow pro-drop subject. On contrast, if a language structure maintains a low level of verbal morphology, pro will not be dropped. This paper comes to show that Standard Arabic (SA) is a partial pro-drop language. It has null subject even with rich verbal inflection structure. Nonetheless, the paper shows that in some forms of imperative sentence that have poor verbal inflection, but the subject is optional. On the other side, and on the basis of minimalism, pro is asserted to have features that must be checked in the course of derivation. These features are case and agreement that can be valued at Specifier-head configuration to pro. The process of checking optimally tries to draw evidence for the minimum level of morpho-syntactic features that pro in SA carries. 


Morphology ◽  
2020 ◽  
Author(s):  
Nanna Fuhrhop

AbstractIn different spelling systems, different grades of morpheme constancy can be found: German has a high degree of morpheme constancy (especially stem constancy, for example rennen – rennt both forms with <nn>), while English has comparatively less (running – run, only the disyllabic form with <nn>). This paper investigates the interaction between stems and verbal inflectional suffixes in terms of constancy in three Germanic languages (Dutch, English, German) and five Romance languages (French, Italian, Portuguese, Romanian, Spanish). Verbal inflection is always the most widespread inflection, so it is a well-defined area for getting an idea of how spelling systems may function. For the Germanic languages, this analysis will primarily focus on the alternation between monosyllabic and disyllabic forms. For the Romance languages, it will focus on the <c>/ <g>-alternations in interaction with the following vowel. The aim is to describe a scale of morphological spelling: The alternation of <c> and <ç> is not an instance of constancy, but of similarity, something between constancy and non-constancy. Morpheme constancy is no longer a binary feature. Comparing verbal inflection takes us another step towards the development of typological parameters for visible morphology.


Author(s):  
Willem F. H. Adelaar

Quechuan is a family of closely related indigenous languages spoken in Argentina, Bolivia, Colombia, Ecuador, and Peru, in the central part of the Andean cordilleras, in what used to be the Empire of the Incas and adjacent areas. It is divided into two main branches, commonly denominated Quechua I and II, and comprises 15 or more spoken varieties and several extinct ones that can be considered separate languages, although an exact number cannot easily be established. Quechuan shares a long and intense contact history with the neighboring Aymaran languages, but a genealogical relationship between the two families has never been demonstrated, nor a relationship with any other language family in the area. Quechuan languages are mainly agglutinative. All grammatical categories are indicated by suffixes with very few exceptions. The order in which these suffixes occur within a word form is governed by rules and combinatory restrictions that can be rigid but not always explicable on a basis of scope and function. Portmanteau suffixes play a role in verbal inflection and in mutually interrelated domains of aspect and number in the Quechua I branch. In Quechuan verbal derivation affixes may be semantically polyvalent, depending on the combinations in which they occur, pragmatic considerations, the nature of the root to which they are attached, their position in the affix order, and so on. Verbal derivational affixes often combine with specific verbal roots to denote meanings that are not fully predictable on the basis of the meaning of the components. Other verbal affixes never occur in such combinations. Verbal morphology and nominal morphology tend to overlap in the domain of personal reference, where subject and possessor markers are largely similar. Otherwise, the two morphological domains are almost completely separate. Not only the morphological inventories but also the formal constraints underlying the structure of verbs and nouns differ. Nominal expressions feature an elaborate but relatively instable system of case markers, some of which appear to be of recent formation. Transposition from one class to another, nominalization in particular, is indicated morphologically and occupies a central place in Quechuan grammar, particularly in interaction with case. Finally, there is a class of Independent suffixes that can be attached to members of all word classes, including adverbial elements that cannot be classified as verbs or nominals. These suffixes play a role at the organizational level of larger syntactic units, such as clauses, nominal phrases, and sentences.


2020 ◽  
Vol 162 (A2) ◽  
Author(s):  
M Goel ◽  
R Sharma ◽  
S K Bhattacharyya ◽  
Tae-wan Kim

Herein, we present the design and development of a ‘Non-uniform Rational B-spline (NURBS)’ based iso-geometric approach for the analysis of a number of ‘Boundary Value Problems (BVPs)’ relevant in hydrodynamics. We propose a ‘Potential Function’ based ‘Boundary Element Method (BEM)’ and show that it holds the advantage of being computationally efficient over the other known numerical methods for a wide range of external flow problems. The use of NURBS is consistent, as inspired by the ‘iso-geometric analysis’, from geometric formulation for the body surface to the potential function representation to interpolation. The control parameters of NURBS are utilised and they have been explored to arrive at some preferable values and parameters for parameterization and the knot vector selection. Also, the present paper investigates the variational strength panel method, and its computational performance is analyzed in comparison with the constant strength panel method. The two variations have been considered, e.g. linear and quadratic. Finally, to illustrate the effectiveness and efficiency of the proposed NURBS based iso-geometric approach for the analysis of boundary value problems, five different problems (i.e. flow over a sphere, effect of the knot vector selection on analysis, flow over a rectangular wing section of NACA 0012 aerofoil section, performance of DTMB 4119 propeller (un-skewed), performance of DTNSDRC 4382 propeller (skewed)) are considered. The results show that in the absence of predominant viscous effects, a ‘Potential Function’ based BEM with NURBS representation performs well with very good computational efficiency and with less complexity as compared to the results available from the existing approaches and commercial software programs, i.e. low maximum errors close to 110−3 , faster convergence with even up to 75 % reduction in the number of panels and improvements in the computational efficiency up to 32.5 % even with low number of panels.


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