Relevant bibliographies by topics / Traces of functions

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Traces of functions'

Author: Grafiati
Published: 7 June 2025
Last updated: 26 June 2025

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Journal articles on the topic "Traces of functions"

1

Aubry, Jean Marie. "Traces of oscillating functions." Journal of Fourier Analysis and Applications 5, no. 4 (1999): 331–45. http://dx.doi.org/10.1007/bf01259374.

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2

Goffeng, M., and A. S. Usachev. "Weierstrass Functions Separate All Traces." Mathematical Notes 110, no. 5-6 (2021): 796–98. http://dx.doi.org/10.1134/s000143462111016x.

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3

Drury, S. W. "Maximizing traces of matrix functions." Linear Algebra and its Applications 387 (August 2004): 221–34. http://dx.doi.org/10.1016/j.laa.2004.02.029.

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Manfredi, Juan J., and Enrique Villamor. "Traces of monotone Sobolev functions." Journal of Geometric Analysis 6, no. 3 (1996): 433–44. http://dx.doi.org/10.1007/bf02921659.

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Babadjian, Jean-Francois. "Traces of functions of bounded deformation." Indiana University Mathematics Journal 64, no. 4 (2015): 1271–90. http://dx.doi.org/10.1512/iumj.2015.64.5601.

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Berndtsson, Bo, and Joaquim Bruna. "Traces of pluriharmonic functions on curves." Arkiv för Matematik 28, no. 1-2 (1990): 221–30. http://dx.doi.org/10.1007/bf02387377.

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Shvartsman, P. A. "Traces of functions of Zygmund class." Siberian Mathematical Journal 28, no. 5 (1988): 853–63. http://dx.doi.org/10.1007/bf00969335.

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8

Sukhov, K. A. "Continuous traces of δ-subharmonic functions". Journal of Mathematical Sciences 194, № 6 (2013): 703–7. http://dx.doi.org/10.1007/s10958-013-1559-3.

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Subramanian, P. R. "Generating functions for angular momentum traces." Journal of Physics A: Mathematical and General 19, no. 13 (1986): 2667–70. http://dx.doi.org/10.1088/0305-4470/19/13/030.

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Kolsrud, Torbj�rn. "Traces of harmonic functions, capacities, and traces of symmetric Markov processes." Journal of Theoretical Probability 2, no. 4 (1989): 399–418. http://dx.doi.org/10.1007/bf01051874.

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Dissertations / Theses on the topic "Traces of functions"

1

Buckley, Jeremiah. "Random zero sets of analytic functions and traces of functions in Fock spaces." Doctoral thesis, Universitat de Barcelona, 2013. http://hdl.handle.net/10803/119826.

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Interpolating and sampling sequences in spaces of functions are classical subjects in complex and harmonic analysis. A sequence of points is said to be interpolating if, given any collection of values, we can find a function from the space which takes these values on the points of the sequence, and a sequence of points is said to be sampling if it is possible to recover a function from the space knowing the values of the function on the sequence. In Fock spaces these sequences have been characterised in terms of a Beurling type density, that is, interpolating sequences are those sequences whose density is less than a certain critical value, and sampling sequences are those sequences whose density is greater than the same critical value. A critical sequence, that is a sequence whose density is exactly the critical value, is almost an interpolating sequence and almost a sampling sequence. In this thesis we have charaterised completely the trace of functions in these Fock spaces on critical sequences in terms of the discrete Beurling-Ahlfors transform. We also study random point processes in the complex plane and in the unit disc. These random point processes are the zero sets of analytic functions. These functions can be constructed through random linear combinations of elements of a basis for a space of functions. The distribution of the zero set of the function formed by taking a basis for the classical Bargmann-Fock space is well known, and depends on a translation-invariance inherent to the space. We have generalised these ideas to inhomogeneous Fock spaces, where no such invariance exists. In particular we see that the expected number of points is related to a certain measure associated to the space. We also study asymptotic normality and a ‘hole theorem’, that calculates the probability that there are no points in a disc of radius r. We study analogous processes in the unit disc, and on the real line. We calculate the variance of the process in the disc, and we prove a ‘hole theorem’ for large values of the ‘intensity’ of the process. In the real line we study the probability of a large gap for a process that is invariant under translations.<br>Las sucesiones de interpolación y de muestreo en espacios de funciones son temas clásicos en el análisis complejo y armónico. Se dice que una sucesión de puntos es de interpolación si dada una colección de valores podemos hallar una función del espacio que toma estos valores en los puntos de la sucesión y se dice que una sucesión de puntos es de muestreo si se puede recuperar una función cuando se sabe los valores de la función en dicha sucesión. En los espacios de Fock estas sucesiones han sido caracterizadas en términos de una densidad de tipo Beurling, es decir, las sucesiones de interpolación son las que tienen densidad menor que un cierto valor crítico, y las de muestreo son las que tienen densidad mayor que el mismo valor crítico. En esta tesis hemos caracterizado completamente la traza de funciones en estos espacios de Fock sobre sucesiones que tiene densidad igual al valor crítico en términos de la transformada de Beurling-Ahlfors discreta. También estudiamos procesos de puntos aleatorios en el plano complejo y en el disco unidad. Estos procesos de puntos aleatorios son los conjuntos de ceros de funciones analíticas. Se pueden construir dichas funciones mediante sumas aleatorias de funciones que forman una base de un espacio de funciones. La distribución del conjunto de ceros cuando se toma una base del espacio clásico de Bargmann-Fock es bien conocida, y depende de una invariancia por translaciones inherente al espacio. Hemos generalizado estas ideas a espacios de Fock no homogéneos, donde no existe ninguna invariancia. En particular, veamos que la esperanza del número de puntos está relacionada con una medida asociado al espacio. También estudiamos la normalidad asintótica y un ‘teorema del agujero’, que calcula la probabilidad asintótica de que no haya ceros en un disco de radio r. Estudiamos procesos análogos en el disco unidad, y en la recta. Calculamos la variancia de dicho proceso en el disco, y demostramos otro ‘teorema del agujero’, para grandes valores de la ‘intensidad’ del proceso. En la recta estudiamos la probabilidad de un hueco para un proceso que es invariante por translaciones.
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BUFFA, Vito. "BV Functions in Metric Measure Spaces: Traces and Integration by Parts Formulæ." Doctoral thesis, Università degli studi di Ferrara, 2018. http://hdl.handle.net/11392/2488124.

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Questa tesi fornisce una panoramica sulla teoria delle funzioni Sobolev e BV nel contesto degli spazi metrici con misura. Vengono messe a confronto diverse caratterizzazioni di tali spazi al fine di evidenziarne le interconnessioni e le condizioni che garantiscono l'equivalenza delle definizioni. Dunque, si discute la struttura differenziale introdotta da N. Gigli in un articolo del 2014 per dare una nuova definizione di funzioni BV nel setting RCD(K,\infty) attraverso opportuni campi vettoriali. Di seguito, nel contesto metrico doubling con disuguaglianza di Poincaré, si danno nuove formule di integrazione per parti utilizzando campi a "divergenza-misura" per trattare poi il problema delle tracce delle funzioni BV. Si confronta la teoria delle "rough traces" (riadattata al presente setting, cfr. V. Maz'ya) con l'operatore di traccia definito mediante punti di Lebesgue, trovando le condizioni in cui le due caratterizzazioni coincidono.<br>This thesis offers a survey on the theory of Sobolev and BV functions in the setting of metric measure spaces. We compare different characterizations of such spaces in order to emphasize their relationships along with the conditions which ensure the equivalence of the definitions. Then, we discuss the differential structure introduced by N. Gigli in a paper of 2014 to give a new definition of BV functions in the RCD(K,\infty) setting, making use of suitable vector fileds. Later, in the metric doubling setting with Poincaré inequality, we give new integration by parts formulæ via "divergence-measure" vector fields to attack the issue of traces of BV functions. We compare the theory of "rough traces" (re-adapted to the present setting, cfr. V. Maz'ya) with the trace operator defined via Lebesgue points, finding the conditions under which the two characterizations coincide.
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Green, Nathan Eric. "Integral Traces of Weak Maass Forms of Genus Zero Odd Prime Level." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/4161.

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Duke and Jenkins defined a family of linear maps from spaces of weakly holomorphic modular forms of negative integral weight and level 1 into spaces of weakly holomorphic modular forms of half integral weight and level 4 and showed that these lifts preserve the integrality of Fourier coefficients. We show that the generalization of these lifts to modular forms of genus 0 odd prime level also preserves the integrality of Fourier coefficients.
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Lucisine, Pierre. "Fonctionnement des sols contaminés." Thesis, Université de Lorraine, 2015. http://www.theses.fr/2015LORR0195/document.

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Les sols des friches industrielles sont souvent multi-polluées et représentent des surfaces toujours plus importantes présentant de forts enjeux sociaux-économiques. Leur réhabilitation passe par une bonne compréhension du fonctionnement écologique des sols, qui, en plus d’être pollués, présentent des structures et des teneurs en nutriments souvent inhabituelles. Malgré cela, une recolonisation par la faune, la flore et les microorganismes est généralement observée. La capacité de ces nouvelles communautés à restaurer et maintenir les fonctions clés des sols reste à évaluer, et cela semble indissociable de la mesure d’une ou plusieurs fonctions écosystémiques. La décomposition de la litière est un processus écosystémique clef permettant la réalisation des cycles biogéochimiques du carbone et des nutriments. Les processus de la décomposition dépendent à la fois de ses acteurs (faune et microorganismes) et de la qualité de la litière végétale. De ce fait, la réponse de cette fonction écosystémique à la pollution du sol intègre les effets de cette pollution sur les communautés de plantes, d’animaux, et de microorganismes, ce qui en fait un indicateur potentiellement pertinent pour évaluer les effets de la pollution sur le fonctionnement des écosystèmes du sol. L’objectif central de cette thèse a donc été d’étudier le fonctionnement des friches industrielles en se focalisant sur les effets délétères de la pollution des sols sur la décomposition de la litière de feuilles. L’hypothèse centrale découlant de cet objectif a été que la pollution des sols pouvait impacter la décomposition par deux voies d’action. (1) La première voie, directe, est constituée de l’ensemble des effets délétères que pourraient provoquer les polluants sur les acteurs de la décomposition dont dépend la bonne réalisation de cette fonction. (2) Concernant la deuxième voie d’action, nous avons supposé que la pollution, en entraînant des modifications de la physiologie des plantes, pouvait modifier les paramètres physico-chimiques de la litière et ainsi impacter de façon indirecte la décomposition des litières. Nos résultats ont permis de montrer l’absence de l’effet direct pour huit friches industrielles fortement polluées, et ce malgré des perturbations des communautés d’acteurs, avec notamment une augmentation de l’abondance des détritivores et une modification de la colonisation microbienne des litières sur les sites pollués. Ces résultats plaident en faveur d’une redondance fonctionnelle suffisante au sein de ces communautés, permettant de maintenir le processus de décomposition. Nous avons également montré un effet indirect positif de la pollution sur la décomposition. Cet effet résulte de l’amélioration systématique de la qualité de la litière, entraînant dans certains cas une augmentation de l’activité des acteurs de la décomposition. Par ailleurs, nous avons également montré une accumulation des polluants dans ces mêmes litières, en particulier le Zn et le Cd, polluants pouvant potentiellement produire des effets délétères sur les acteurs de la décomposition. Toutefois, la présence de ces ETM n’a pas semblé influencer la consommation des litières par certains acteurs de la décomposition de la litière. Cependant, ce résultat reste à valider in situ en présence de l’ensemble des communautés de détritivores. De nombreuses perspectives s’ouvrent à la suite de ces travaux. Parmi elles, il reste notamment à déterminer 1) quels sont les mécanismes (physiologiques) qui entrainent une augmentation de la qualité des litières produites sur les sols contaminés ? 2) comment des communautés différentes permettent d’assurer des taux de décomposition similaires ? et 3) quels sont les impacts de la consommation des litières provenant des sites contaminés sur le fonctionnement et la physiologie des détritivores ?<br>Brownfield soils are multi-polluted areas, which cover an increasing surface and thus present serious socio-economical challenges. A better understanding of the ecological functioning of these sites is mandatory for their restoration. In addition to the high pollution found at these sites, brownfields are characterized by a specific soil structure and occasionally also by particular nutrient contents. Despite these constraints, several brownfield are well colonized by plants, fauna and microorganisms. The capacity of these new communities to uphold main ecosystem function remains to be evaluated based on the measurement of one or several ecosystem functions. Leaf litter decomposition is critically important in driving carbon and nutrient biogeochemical cycles. This function depends on decomposition actors (fauna and microorganisms) but also on leaf litter quality. By that, leaf litter decomposition integrates effects of soil pollution on plant, animal and microorganism communities. Thus, leaf litter decomposition is a relevant indicator to evaluate pollution effects on the functioning of soil ecosystems. The main objective of this thesis was to study brownfields soil function by focusing on the impairment of soil pollution on the leaf litter decomposition. The main hypothesis was that soil pollution could negatively affect leaf litter decomposition by two different ways. (1) By direct effects, resulting from adverse effects of soil pollution on decomposition actors, and (2) by indirect effects, assuming that soil pollution will induce modifications of the plant’s physiology, resulting in changes in leaf litter quality and subsequent effects on the decomposition. Our results revealed the absence of direct negative effects for eight highly polluted sites, despite a disturbance of decomposer actors, specifically the increase in abundance of detritivores and a modified microbial colonization of the leaf litter at the polluted sites. These results are in favor of a sufficient functional redundancy of decomposer actors in the local communities, which allowed the maintenance of the decomposition process. We also showed a positive indirect effect of soil pollution on the decomposition. This effect resulted from the improvement of litter quality produced at the polluted sites. This induced, at least for some sites, an increase of the decomposition rate, possibly due to a higher activity of decomposer actors. Furthermore, we also observed pollutants accumulation in these litter, especially Cd and Zn. These pollutants could potentially impair decomposition actors. Whatever, presence of these pollutants in litter did not impair litter consumption by some detritivores. Numerous perspectives can be developed from this study. Among them it seems specifically important to evaluate: 1) which are the (physiological) mechanisms behind the increase in leaf litter quality at polluted sites? 2) How can different communities assure the same decomposition rates at polluted sites? and 3) Are there negative effects observed on the performance and physiology of detritivores when consuming leaf litter from polluted sites ?
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5

Park, Young Ja. "Sobolev trace inequality and logarithmic Sobolev trace inequality." Digital version:, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p9992883.

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Penney, Alastair William. "Augmenting trace-based functional debugging." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.310594.

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7

Lucisine, Pierre. "Fonctionnement des sols contaminés." Electronic Thesis or Diss., Université de Lorraine, 2015. http://www.theses.fr/2015LORR0195.

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Les sols des friches industrielles sont souvent multi-polluées et représentent des surfaces toujours plus importantes présentant de forts enjeux sociaux-économiques. Leur réhabilitation passe par une bonne compréhension du fonctionnement écologique des sols, qui, en plus d’être pollués, présentent des structures et des teneurs en nutriments souvent inhabituelles. Malgré cela, une recolonisation par la faune, la flore et les microorganismes est généralement observée. La capacité de ces nouvelles communautés à restaurer et maintenir les fonctions clés des sols reste à évaluer, et cela semble indissociable de la mesure d’une ou plusieurs fonctions écosystémiques. La décomposition de la litière est un processus écosystémique clef permettant la réalisation des cycles biogéochimiques du carbone et des nutriments. Les processus de la décomposition dépendent à la fois de ses acteurs (faune et microorganismes) et de la qualité de la litière végétale. De ce fait, la réponse de cette fonction écosystémique à la pollution du sol intègre les effets de cette pollution sur les communautés de plantes, d’animaux, et de microorganismes, ce qui en fait un indicateur potentiellement pertinent pour évaluer les effets de la pollution sur le fonctionnement des écosystèmes du sol. L’objectif central de cette thèse a donc été d’étudier le fonctionnement des friches industrielles en se focalisant sur les effets délétères de la pollution des sols sur la décomposition de la litière de feuilles. L’hypothèse centrale découlant de cet objectif a été que la pollution des sols pouvait impacter la décomposition par deux voies d’action. (1) La première voie, directe, est constituée de l’ensemble des effets délétères que pourraient provoquer les polluants sur les acteurs de la décomposition dont dépend la bonne réalisation de cette fonction. (2) Concernant la deuxième voie d’action, nous avons supposé que la pollution, en entraînant des modifications de la physiologie des plantes, pouvait modifier les paramètres physico-chimiques de la litière et ainsi impacter de façon indirecte la décomposition des litières. Nos résultats ont permis de montrer l’absence de l’effet direct pour huit friches industrielles fortement polluées, et ce malgré des perturbations des communautés d’acteurs, avec notamment une augmentation de l’abondance des détritivores et une modification de la colonisation microbienne des litières sur les sites pollués. Ces résultats plaident en faveur d’une redondance fonctionnelle suffisante au sein de ces communautés, permettant de maintenir le processus de décomposition. Nous avons également montré un effet indirect positif de la pollution sur la décomposition. Cet effet résulte de l’amélioration systématique de la qualité de la litière, entraînant dans certains cas une augmentation de l’activité des acteurs de la décomposition. Par ailleurs, nous avons également montré une accumulation des polluants dans ces mêmes litières, en particulier le Zn et le Cd, polluants pouvant potentiellement produire des effets délétères sur les acteurs de la décomposition. Toutefois, la présence de ces ETM n’a pas semblé influencer la consommation des litières par certains acteurs de la décomposition de la litière. Cependant, ce résultat reste à valider in situ en présence de l’ensemble des communautés de détritivores. De nombreuses perspectives s’ouvrent à la suite de ces travaux. Parmi elles, il reste notamment à déterminer 1) quels sont les mécanismes (physiologiques) qui entrainent une augmentation de la qualité des litières produites sur les sols contaminés ? 2) comment des communautés différentes permettent d’assurer des taux de décomposition similaires ? et 3) quels sont les impacts de la consommation des litières provenant des sites contaminés sur le fonctionnement et la physiologie des détritivores ?<br>Brownfield soils are multi-polluted areas, which cover an increasing surface and thus present serious socio-economical challenges. A better understanding of the ecological functioning of these sites is mandatory for their restoration. In addition to the high pollution found at these sites, brownfields are characterized by a specific soil structure and occasionally also by particular nutrient contents. Despite these constraints, several brownfield are well colonized by plants, fauna and microorganisms. The capacity of these new communities to uphold main ecosystem function remains to be evaluated based on the measurement of one or several ecosystem functions. Leaf litter decomposition is critically important in driving carbon and nutrient biogeochemical cycles. This function depends on decomposition actors (fauna and microorganisms) but also on leaf litter quality. By that, leaf litter decomposition integrates effects of soil pollution on plant, animal and microorganism communities. Thus, leaf litter decomposition is a relevant indicator to evaluate pollution effects on the functioning of soil ecosystems. The main objective of this thesis was to study brownfields soil function by focusing on the impairment of soil pollution on the leaf litter decomposition. The main hypothesis was that soil pollution could negatively affect leaf litter decomposition by two different ways. (1) By direct effects, resulting from adverse effects of soil pollution on decomposition actors, and (2) by indirect effects, assuming that soil pollution will induce modifications of the plant’s physiology, resulting in changes in leaf litter quality and subsequent effects on the decomposition. Our results revealed the absence of direct negative effects for eight highly polluted sites, despite a disturbance of decomposer actors, specifically the increase in abundance of detritivores and a modified microbial colonization of the leaf litter at the polluted sites. These results are in favor of a sufficient functional redundancy of decomposer actors in the local communities, which allowed the maintenance of the decomposition process. We also showed a positive indirect effect of soil pollution on the decomposition. This effect resulted from the improvement of litter quality produced at the polluted sites. This induced, at least for some sites, an increase of the decomposition rate, possibly due to a higher activity of decomposer actors. Furthermore, we also observed pollutants accumulation in these litter, especially Cd and Zn. These pollutants could potentially impair decomposition actors. Whatever, presence of these pollutants in litter did not impair litter consumption by some detritivores. Numerous perspectives can be developed from this study. Among them it seems specifically important to evaluate: 1) which are the (physiological) mechanisms behind the increase in leaf litter quality at polluted sites? 2) How can different communities assure the same decomposition rates at polluted sites? and 3) Are there negative effects observed on the performance and physiology of detritivores when consuming leaf litter from polluted sites ?
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8

Ratnaseelan, Ratnam. "Trace formulas and algebro-geometric solutions of 1+1 dimensional completely integrable systems /." free to MU campus, to others for purchase, 1996. http://wwwlib.umi.com/cr/mo/fullcit?p9720545.

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Harrison, Christopher David. "Methods for determining lung function from tracer gas concentrations." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:bfd9efe6-78cb-44d1-8bdd-4625d8bd6d2f.

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The ability to routinely determine Functional Residual Capacity (FRC) or the ventilation-volume homogeneity of ventilated patients has been a long held goal. Such measures have the potential to greatly improve the treatment of patients by preventing ventilator related lung injuries. Many methods have been proposed, but none have seen routine clinical use. This thesis develops methods of determining such information from tracer gas concentrations, modelling the concentration of the entire expired breath in an attempt to extract more information from the data. A method of using such models to produce a distribution of alveolar volumes, which broadens with an increase in the inhomogeneity of simulated data, was developed. When compared to the Homogeneity Index [Whiteley et al., Respir. Physiol., 124(1):65-83.], the method determines the homogeneity more robustly, particularly when noise is present in the flow signal. In real data from a water-displacement bench lung it also produced tentatively better results. However it did not perform as expected for 25% of the data sets. Investigations into determining FRC, highlighted the need to include mixing within the dead space, which is a move away from traditional dead space models. In human data a dead space with two mixing compartments provided the best FRC results, reducing the mean limits of agreement with plethysmography by 32% when compared to the other practical methods investigated. Compared to data from the literature, this method was no worse than Helium Dilution (the bias and limits of agreement were within the 95% confidence interval) and the limits of agreement were significantly better than for the LUFU device. Thus, if the results are replicated in clinical practice, the method is likely to be robust enough to positively influence patient care. Attempts to correct for time offsets between the flow and concentrations signals did not improve results for humans, despite showing some improvements for a water-displacement bench lung.
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Saxton, Aaron. "Decay Estimates on Trace Norms of Localized Functions of Schrödinger Operators." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/19.

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In 1973, Combes and Thomas discovered a general technique for showing exponential decay of eigenfunctions. The technique involved proving the exponential decay of the resolvent of the Schrödinger operator localized between two distant regions. Since then, the technique has been been applied to several types of Schrödinger operators. This dissertation will show that the Combes--Thomas method works well with trace, Hilbert--Schmidt and other trace-type norms. The first result we prove shows exponential decay on trace-type norms of a resolvent of a Schrödinger operator localized between two distant regions. We build on this result by applying the Combes--Thomas method again to prove polynomial and sub-exponential decay estimates on functions of Schrödinger operators localized between two distant regions.
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Books on the topic "Traces of functions"

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Bunke, Ulrich. Selberg zeta and theta functions: A differential operator approach. Akademie Verlag, 1995.

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Bertapelle, Alessandra. Weil restriction in the context of formal and rigid geometry. Drucktechnische Zentralstelle der Universität Münster, 1998.

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I, Gohberg. Traces and determinants of linear operators. Birkhäuser Verlag, 2000.

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Hejhal, Dennis A. Eigenvalues of the Laplacian for Hecke triangle groups. American Mathematical Society, 1992.

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Shokranian, Salahoddin. The Selberg-Arthur trace formula: Based on lectures by James Arthur. Springer-Verlag, 1991.

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Roger, Lemon, ed. Corticospinal function and voluntary movement. Clarendon Press, 1993.

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Roger, Lemon, ed. Corticospinal function and voluntary movement. Oxford University Press, 1995.

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Fischer, Jürgen. An Approach to the Selberg Trace Formula via the Selberg Zeta-Function. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077696.

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Elstrodt, J. Groups acting on hyperbolic space: Harmonic analysis and number theory. Springer, 1998.

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Nieuwenhuis, Channah José. Traces on tropical tools: A functional study of chert artefacts from preceramic sites in Colombia. Faculty of Archaeology, University of Leiden, 2002.

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Book chapters on the topic "Traces of functions"

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Fenchel, Werner. "On Conjugate Convex Functions." In Traces and Emergence of Nonlinear Programming. Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0439-4_7.

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Demengel, Françoise, and Gilbert Demengel. "Traces of Functions on Sobolev Spaces." In Universitext. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2807-6_3.

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Agoshkov, Valeri. "Functional spaces, existence of traces, and extension of functions." In Boundary Value Problems for Transport Equations. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-1994-1_2.

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Triebel, Hans. "Traces on sets, related function spaces and their decompositions." In The Structure of Functions. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8257-6_9.

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Shaposhnikova, Tatyana. "Multipliers of differentiable functions and their traces." In The Maz’ya Anniversary Collection. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8675-8_10.

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Karush, William. "Minima of Functions of Several Variables with Inequalities as Side Conditions." In Traces and Emergence of Nonlinear Programming. Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0439-4_10.

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Fraczek, Markus Szymon. "Numerical Results for Spectra and Traces of the Transfer Operator for Character Deformations." In Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9_8.

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Gesztesy, Fritz, and Klaus Kirsten. "Computing Traces, Determinants, and $$\zeta $$-Functions for Sturm–Liouville Operators: A Survey." In Analysis and Operator Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12661-2_7.

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Li, Zhe, and Fei Xie. "Concolic Testing of Front-end JavaScript." In Fundamental Approaches to Software Engineering. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30826-0_4.

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AbstractJavaScript has become the most popular programming language for web front-end development. With such popularity, there is a great demand for thorough testing of client-side JavaScript web applications. In this paper, we present a novel approach to concolic testing of front-end JavaScript web applications. This approach leverages widely used JavaScript testing frameworks such as Jest and Puppeteer and conducts concolic execution on JavaScript functions in web applications for unit testing. The seamless integration of concolic testing with these testing frameworks allows injection of symbolic variables within the native execution context of a JavaScript web function and precise capture of concrete execution traces of the function under test. Such concise execution traces greatly improve the effectiveness and efficiency of the subsequent symbolic analysis for test generation. We have implemented our approach on Jest and Puppeteer. The application of our Jest implementation on Metamask, one of the most popular Crypto wallets, has uncovered 3 bugs and 1 test suite improvement, whose bug reports have all been accepted by Metamask developers on Github. We also applied our Puppeteer implementation to 21 Github projects and detected 4 bugs.
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Morace, Rosanna. "Funzioni dell’ironia nei Piccoli maestri." In Biblioteca di Studi di Filologia Moderna. Firenze University Press, 2024. https://doi.org/10.36253/979-12-215-0565-8.18.

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After a brief introduction concerning the theme of irony in Meneghello’s essay production, this essay focuses on I piccoli maestri. It traces the main functions of irony in the novel: to deflate the rhetoric of deflating rhetoric (the double value of ‘educating diseducation’ and making words and things fight), diluting disillusionment and keeping ‘emotion at bay’.
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Conference papers on the topic "Traces of functions"

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Chmelovski, M. J. "Considerations for Understanding One’S Cooling System Prior to Reuse Water Implementation." In CORROSION 1996. NACE International, 1996. https://doi.org/10.5006/c1996-96576.

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Abstract Water reuse situations are growing due to the need or desire to minimize water discharge from an industrial facility. Most of these applications are retrofits or system redesigns. Many times information is required to make decisions about the reuse application. Real-time or diagnostic studies provide improved information about the water systems. Addition of very low concentrations of a chemical tracer can provide improved information about the system. Useful and unique functions of chemical tracers are that they can provide one with the following information: system volume, quantifying previously unaccounted blowdown, holding time index, water distribution, leakage, and flowrate. These are important parameters when considering water reuse and system redesign. The chemical tracers discussed in this paper represent a significant improvement over compounds previously used in reuse applications.
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Santana Cordeiro, Aline, Tiago Rodrigo Kepe, Diego Gomes Tomé, Eduardo Cunha de Almeida, and Marco Antonio Zanata Alves. "Intrinsics-HMC: An Automatic Trace Generator for Simulations of Processing-In-Memory Instructions." In XVIII Simpósio em Sistemas Computacionais de Alto Desempenho. Sociedade Brasileira de Computação, 2017. http://dx.doi.org/10.5753/wscad.2017.253.

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Processor-in-Memory (PIM) architectures, such as the Hybrid Memory Cube (HMC), are emerging nowadays as a solution for processing large amount of data directly inside the memory. In this area, several researchers are proposing and evaluating new instructions and new PIM architectures. For such evaluations, trace-driven simulators, as the Simulator of Non-Uniform Cache Architectures (SiNUCA), are commonly used in order to model these new proposed systems. Such simulators provide fast prototyping of new architectures, while it requires the researcher to write simulation traces manually when evaluating new Instruction Set Architecture (ISA) proposals, which is an time consuming and error prone task. In this work, we propose a methodology for fast generation of simulation traces focused on HMC architecture, which consists on a high-level Intrinsics-HMC library and a modification inside the trace-generator tool from SiNUCA. Our proposal enables the researchers to write high level code in C/C++ languages using our library, which mimics the behavior of HMC instructions. These codes can be compiled and executed in traditional x86 architectures for verification. After ensure the code is correct and working, the user can use our modified version of SiNUCA-Tracer to translate HMC functions into HMC instructions know by the simulator, providing a convenient solution to generate traces and fast simulations of new PIM architectures. Results using the proposed technique applied on database application kernels show the correct translation and simulation of new HMC instructions using SiNUCA.
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Liu, Chunyu, Yongjian Yang, Zijun Yao, et al. "Discovering Urban Functions of High-Definition Zoning with Continuous Human Traces." In CIKM '21: The 30th ACM International Conference on Information and Knowledge Management. ACM, 2021. http://dx.doi.org/10.1145/3459637.3482253.

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Mekhtiev, A. A., and Sh M. Asadova. "IMPACT OF ANTIBODIES-MEDIATED BLOCKADE OF SEROTONINMODULATING ANTICONSOLIDATION PROTEIN ON FORMATION OF MEMORY TRACES AND NERVE GROWTH FACTOR." In MODERN PROBLEMS IN SYSTEMIC REGULATION OF PHYSIOLOGICAL FUNCTIONS. NPG Publishing, 2019. http://dx.doi.org/10.24108/5-2019-confnf-54.

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Gervais, F., M. Frappier, and R. Laleau. "Generating Relational Database Transactions From Recursive Functions Defined on EB^3 Traces." In Third IEEE International Conference on Software Engineering and Formal Methods (SEFM'05). IEEE, 2005. http://dx.doi.org/10.1109/sefm.2005.23.

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Dimitrova, Diana. "ROLE OF NACID IN THE SYSTEM OF HIGHER EDUCATION IN BULGARIA." In 15 YEARS OF ADMINISTRATIVE JUSTICE IN BULGARIA - PROBLEMS AND PERSPECTIVES. University publishing house "Science and Economics", University of Economics - Varna, 2022. http://dx.doi.org/10.36997/ppdd2022.154.

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The report examines the role of the National Centre for Information and Documentation in the higher education system. It traces its historical development, functions and powers, and interaction with the Ministry of Education and Science and higher education institutions. As a result of the analysis, summaries and conclusions are made.
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Lew, C. L., C. MacBeth, A. ElSheikh, M. S. Jaya, and M. I. Ahmad Fuad. "Improving Lateral Continuity in Direct Petrophysical Inversion from Seismic Using Deep Learning." In ADIPEC. SPE, 2024. http://dx.doi.org/10.2118/222530-ms.

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Abstract Estimating petrophysical properties directly from measured seismic using multi-realisation of 1D training synthetic database for deep learning training resulted in ‘jittery’ artifact. The 1D training datasets has random geological scenarios, where each realisation is independent and spatially uncorrelatable. A method is developed to generate realistic 2D training database that provides flexibility for the network in analysing neighbouring traces. The process of building realistic 2D training data involves the utilization of the estimated porosity, Vclay and hydrocarbon saturation (Shc) cubes from Lew et al. (2023) as the inputs. These properties were initially predicted based on network model (MLT2) that trained on 1D training dataset. 2D sections consist of 29,480 and 3,685 traces for training and testing data are selected respectively from the property cubes. The petrophysical properties are linked to elastic properties through Fast Xu-White model and fluid substitution using Gassmann's equation, then computation of angle dependent reflectivities (0°–55°) using the full Zoeppritz equations. These reflectivities are grouped according to the configuration of measured seismic, resulting in five groups of reflectivities. The reflectivities within each group are convolved with angle-dependent source wavelets to produce the 2D synthetic angle stacks. The computed synthetic seismics are added with estimated field noise. Modification is performed on the 2D training dataset by splicing it to contain 32 traces. Using the concept of stride, a step of one is used to slide over the 2D dataset one trace at a time, each slide contains 32 traces. This process allows the generation of mini-2D sections for the network to learn. UNet architecture, chosen for its ability to preserve spatial resolution, processes angle stack seismics as input and petrophysical properties as outputs. Mean-squared error and L1 norm are implemented as the loss functions during the training on synthetic dataset. The trained network model (ML2D) on 2D training data and the MLT2 are applied to the testing data which is unseen by the network. Using mean structural similarity index measure (mssim) as the metric, both models provide promising result (mssim&amp;gt;0.65) for the estimated properties when evaluated on the testing data. We then applied the models to the field dataset. The computed metric (Pearson correlation coefficient) from the blind test wells indicates that ML2D outperform the MLT2. The results from ML2D provide better lateral continuity for the estimated petrophysical properties compared to MLT2, as the 2D training data allows network to learn the neighbouring traces. A methodology to improve the lateral continuity of the estimated porosity, Vclay and Shc simultaneously from seismic has been tested. The method allows realistic generation of 2D training database, and improved the inputs and outputs shaping arrangement into the network architecture to allows flexibility in analysing neighbouring traces, potentially promoting lateral smoothness.
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Kim, Kuktae, and Won-jong Kim. "Performance-Index Functions in Networked Control Systems With Disturbance and Noise." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52886.

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This paper presents performance-index functions (PIFs) in networked control systems (NCSs) with disturbance and noise using nonlinear approximations. Based on experimental data, exponential and polynomial approximations are formulated to describe the system performance versus frequency and disturbance. Approximation methods can be used to estimate the amount of disturbance at a given frequency. Once the frequency and the magnitude of disturbance are determined, the optimal sampling frequency can be calculated from PIFs. The exponential and polynomial approximation techniques can be used for an NCS to run within an allowable performance level using PIFs with minimizing the system bandwidth utilization (BU). In this paper, a DC motor speed control system through network is used as an example. From experimental data, the coefficients for exponential and polynomial approximation equations are calculated using a trust-region algorithm and a linear least squares algorithm, respectively. Although the exponential method traces the experimental data better than the polynomial one, it will also take up more resources in real time and may degrade the NCS performance if its calculation time takes more than the allowable time for a given sampling period. Thus a balance between cost and performance should be maintained.
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Kajino, Hiroshi. "A Functional Dynamic Boltzmann Machine." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/276.

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Dynamic Boltzmann machines (DyBMs) are recently developed generative models of a time series. They are designed to learn a time series by efficient online learning algorithms, whilst taking long-term dependencies into account with help of eligibility traces, recursively updatable memory units storing descriptive statistics of all the past data. The current DyBMs assume a finite-dimensional time series and cannot be applied to a functional time series, in which the dimension goes to infinity (e.g., spatiotemporal data on a continuous space). In this paper, we present a functional dynamic Boltzmann machine (F-DyBM) as a generative model of a functional time series. A technical challenge is to devise an online learning algorithm with which F-DyBM, consisting of functions and integrals, can learn a functional time series using only finite observations of it. We rise to the above challenge by combining a kernel-based function approximation method along with a statistical interpolation method and finally derive closed-form update rules. We design numerical experiments to empirically confirm the effectiveness of our solutions. The experimental results demonstrate consistent error reductions as compared to baseline methods, from which we conclude the effectiveness of F-DyBM for functional time series prediction.
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Schuermans, Bruno, Felix Guethe, and Wolfgang Mohr. "Optical Transfer Function Measurements for Technically Premixed Flames." In ASME Turbo Expo 2008: Power for Land, Sea, and Air. ASMEDC, 2008. http://dx.doi.org/10.1115/gt2008-51500.

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This paper deals with a novel approach for measuring thermo-acoustic transfer functions. These transfer functions are essential to predict the acoustic behavior of gas turbine combustion systems. Thermoacoustic prediction has become an essential step in the development process of low-NOx combustion systems. The proposed method is particularly useful in harsh environments. It makes use of simultaneous measurement of the chemiluminescence of different species in order to obtain the heat release fluctuations via an inverse method. Generally, the heat release fluctuation has two contributions: one due to equivalence ratio fluctuations, the other due to modulations of mass flow of mixture entering the reaction zone. Because the chemiluminescence of one single species depends differently on the two contributions, it is not possible to quantitatively estimate the heat based on this information. Measurement of the transfer matrix based on a purely acoustic method provides quantitative results, independent of the nature of the interaction mechanism. However, this method is difficult to apply in industrial full-scale experiments. The method developed in this work uses the chemiluminescence time traces of several species. After calibration, an over-determined inverse method is used to calculate the two heat release contributions from the time traces. The optical method proposed here has the advantage that it does not only provide quantitative heat release fluctuations, but it also quantifies the underlying physical mechanisms that cause the heat release fluctuations: it shows what part of the heat release is caused by equivalence ratio fluctuations and what part by flame front dynamics. The method has been tested on a full scale, swirl stabilized gas turbine burner. Comparison with a purely acoustic method validated the concept.
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Reports on the topic "Traces of functions"

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Antonov, Volodymyr. Natural history BBC documentaries: history and functions. Ivan Franko National University of Lviv, 2022. http://dx.doi.org/10.30970/vjo.2022.51.11402.

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This scientific article studies natural history documentaries produced by BBC and traces important stages of the development of the attitude towards such genre as natural history documentary. This research is about understanding why this kind of programmes is important, particularly for Ukrainians, and why we should study the genre thoroughly, including the BBC’s experience in the field. Accordingly, the main objectives of the study were: 1. To substantiate the necessity for Ukrainian scholars to study natural history documentaries and BBC’s experience in the field. 2. To trace back and describe the main stages of development in the sphere of producing natural history documentaries by British Broadcasting Corporation. 3. To analyze the obstacles which modern journalists, filmmakers are dealing with and to draw attention of Ukrainian specialists to those philosophical questions that modern era is searching for answers to. In the result of the research these main tasks which were outlined above were fulfilled. The author of this article concluded that natural history documentaries help to understand our place in the world we live in. In addition, through the shared environment we can feel unity with those who inhabit our region, country, inhabited it before, will inhabit in future. Documentaries help us understand who we are. And this function of identification is very important for contemporary Ukraine. To understand how to create proper natural history documentary it’s important to learn the global history of creating such programmes and especially that part which covers BBC’s achievements. The achievements of the corporation which gave birth to such prominent figure as David Attenborough. In addition to this, the article described some modern challenges which documentary makers face and those questions which contemporary society needs to have answered. Because you cannot create a proper natural history programme if you know past but do not know modern challenges. To sum up, the topic which is deeply connected with process of self-identification is very important and perspective for Ukrainian society which suffers hybrid war and endeavours of Russian Federation to assimilate Ukrainian people, Ukrainian culture.
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Taheripour, Farzad, Thomas Hertel, and Jing Liu. Introducing water by river basin into the GTAP-BIO model: GTAP-BIO-W. GTAP Working Paper, 2013. http://dx.doi.org/10.21642/gtap.wp77.

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This paper introduces water into the GTAP modeling framework at a river basin level. The new model: 1) distinguishes between irrigated and rainfed agriculture using different production functions; 2) takes into account heterogeneity in land quality across agro-ecological zones; 3) traces supply of water at the river basin level within each country/region; 4) fully captures competition for land among crop, livestock and forestry industries; 5) and, most importantly, offers the potential to extend the competition for managed water among agricultural and non-agricultural activities. Individuals interested in working with the GTAP-Water data base and model are referred to the following publication in the &lt;a href="https://jgea.org/resources/jgea/ojs/index.php/jgea/article/view/35" target="_blank"&gt;Journal of Global Economic Analysis&lt;/a&gt;
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McLean, John. Proving Noninterference and Functional Correctness Using Traces. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada463011.

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Kim, Jinwon, and Jucheol Moon. Congestion Costs and Scheduling Preferences of Car Commuters in California: Estimates Using Big Data. Mineta Transportation Institute, 2022. http://dx.doi.org/10.31979/mti.2022.2031.

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On average, California car commuters waste 4–5 minutes per morning commute due to congestion. Multiplied across all California car commuters, those few minutes entail a yearly total of approximately 2.3 billion hours of time wasted, costing 6 billion dollars. The objective of this study is to quantify congestion costs and determine how commuters adapt to the level of congestion they face (i.e., commuters’ scheduling utility functions). To that end, this research developed a model of trip scheduling under congestion to construct California commuters’ travel-time profiles, i.e., the menu of travel times that each individual would likely face according to alternate trip timing choices. The results show that commuters facing higher levels of congestion tend to avoid delays by arriving at an inconvenient edge time rather than commuting during the peak. Further, commuters are willing to accept about 0.5 additional minutes of schedule delay to reduce travel time by 1 minute. We found that for most commuters in our data, the travel time profile is much flatter than the estimated schedule utility, which implies that commuters tend to arrive around their own ideal arrival times, although the estimated utility function exhibits a moderate schedule inflexibility. This finding ultimately calls into question the existing bottleneck model’s quantification of the economic cost of congestion as well as the optimal toll to ameliorate congestion.
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Santacreu, Ana Maria. Reaction functions in a small open economy: What role for non-traded inflation? Federal Reserve Bank of St. Louis, 2014. http://dx.doi.org/10.20955/wp.2014.044.

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Harris, Jeremy, and Brian Rankin Staples. Origin and Beyond: Trade Facilitation Disaster or Trade Facility Opportunity? Inter-American Development Bank, 2009. http://dx.doi.org/10.18235/0011074.

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Presents information about several mechanisms by which the barriers imposed by rules of origin may be reduced through effective trade facilitation efforts. Also discussed are the functional similarities of a variety of other requirements on international trade with rules of origin, including environmental, security, and consumer safety certifications.
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Lin, Hongwei, Yanjun Gao, Kang Sun, and Faguang Jin. Association between PM2.5 pollution and outpatient visits for respiratory diseases in China: a systematic review and meta-analysis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2022. http://dx.doi.org/10.37766/inplasy2022.5.0144.

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Review question / Objective: Previous epidemiological studies on the association between PM2.5 pollution and outpatient visits for respiratory diseases in China were mostly limited to one region， and the different papers have no coherent results. Our objective is to perform a systematic review and meta-analysis of the relevant literature in order to summarize the association between PM2.5 pollution and outpatient visits for respiratory diseases in multiple cities in China. Condition being studied: As an important component of air pollutants, particulate matter 2.5 (PM2.5) can float in the atmosphere for a long time with a small aerodynamic size (≤2.5μm) and large specific surface area which is attached to a variety of toxic and harmful substances . PM2.5 can deposite under the trachea of the respiratory tract, reaching deep into the alveolar area, damaging alveolar macrophages and type Ⅱ alveolar epithelial cells, inducing alveolar inflammation, resulting in decreased immunity of the respiratory tract and interfering with normal physiological functions of the lungs.
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Staples, Brian Rankin. Origin & the SME: Trade Facilitation Disaster or Trade Facilitation Opportunity? Inter-American Development Bank, 2009. http://dx.doi.org/10.18235/0006865.

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This presentation explores several mechanisms by which the barriers imposed by rules of origin may be reduced through effective trade facilitation efforts. Also discussed are the functional similarities of a variety of other requirements on international trade with rules of origin, including environmental, security, and consumer safety certifications. This presentation was created for the Fifth LAEBA Annual Meeting, at Singapore, on July 15th, 2009.
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WANG, Peng, Zhidong CAI, Qingying ZHAO, Wanting JIANG, Cong LIU, and Xing WANG. A Bayesian Network Meta-analysis of the Effect of Acute Exercise on Executive Function in Middle-aged and Senior People. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2021. http://dx.doi.org/10.37766/inplasy2021.12.0086.

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Review question / Objective: Objective: To compare the intervention effect of multiple acute movement formulas on the executive function in middle-aged and senior people and to provide references for the discussion of the plans for precise movements. P: middle-aged and senior people elderly people; I: acute exercise; C: reading or sitting; O: Executive Function; S: RCT/crossover. Information sources: Randomized searches were carried out in Chinese databases such as CNKI, Wanfang Database, VTTMS, SinoMed and foreign databases such as PubMed, EMBASE, Cochrane Library, Web of Science. The retrieval period is from the beginning of each database to August 2021, supplemented with manual searches for gray literature and references traced back to previous systematic reviews.
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Santschi, Peter H. Complexation Reactions Between Trace Metals and Specific Functional Groups in Natural Organic Matter from Estuarine Waters. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada626695.

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