Características de la tematización del esquema de límite de una función

Esta investigación estudia las diferentes estructuras subyacentes en el esquema de límite de una función observadas en 23 estudiantes de Bachillerato situados en el nivel Trans del desarrollo del esquema de límite de una función. El esquema de límite de una función se caracterizó en términos de la habilidad que los estudiantes manifestaron en la construcción de la concepción dinámica del límite mediante la coordinación de los procesos de aproximación en el dominio y en el rango, diferenciando aquellas en las que las aproximaciones laterales coinciden de las que no coinciden. Nuestros resultados sugieren que los estudiantes construyen diferentes estructuras subyacentes al esquema debido a las relaciones que establecen entre el límite de una función en un punto y su representación gráfica que permiten identificar características del esquema tematizado del límite de una función.

The Operators Aγ = γA + -γA for a Class of Nondissipative Operators A with a Limit of the Corresponding Correlation Function

2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12

Mechanism of HFR1 function in adaptive growth responses in "Arabidopsis thaliana"

AbstractPlants are sessile organisms, which have evolved an astonishing ability to sense changes in their environment. Depending on the surrounding conditions, such as changes in light and temperature, plants modulate the activity of important transcriptional regulators. The shade avoidance syndrome (SAS) is one important mechanism for shade-intolerant plants to adapt their growth in high vegetative density. In shaded conditions plants sense a diminished red/far-red ratio via the phytochrome system and respond with morphological changes such as elongation growth of stems and petioles. The Phytochrome Interacting Factors 4 and 5 (PIF4 and PIF5) are positive regulators of the SAS and required for a full response (Lorrain et al, 2008). They regulate the SAS by inducing the expression of shade avoidance marker genes such as PIL1, ATHB2, XTR7 and HFR1 (Hornitschek et al, 2009; Lorrain et al, 2008).I investigated the molecular mechanism underlying the regulation of the SAS by HFR1 (long Hypocotyl in FR light). Although HFR1 is a PIF-related bHLH transcription factor, we discovered that HFR1 is a non-DNA binding protein. Moreover, we revealed that HFR1 inhibits an exaggerated SAS by forming non-DNA binding heterodimers with PIF4 and PIF5 (Hornitschek et al, 2009). This negative feedback loop is an important mechanism to limit elongation growth also in elevated temperatures. HFR1 accumulation and activity are highly temperature-dependent and the increased activity of HFR1 at warmer temperatures also provides an important restraint on PIF4-driven elongation growth (Foreman et al, 2011).Finally we performed a genome-wide analysis to determine how PIF4 and PIF5 regulate growth in response to shade. We identified potential PIF5- target genes, which represent many well-known shade-responsive genes. Our analysis of gene expression also revealed a role of PIF4 and PIF5 in simulated sun possibly via the regulation of auxin sensitivity.RésuméLes plantes sont des organismes sessiles ayant développé une capacité surprenante à détecter des changements dans leur environnement. En fonction des conditions extérieures, telles que les variations de lumière ou de température, elles adaptent l'activité d'importants régulateurs transcriptionnels. Le syndrome d'évitement de l'ombre (SAS), est un mécanisme important pour les plantes intolérantes à l'ombre leur permettant d'adapter leur croissance lorsqu'elles se développent dans des conditions de végétations très denses. Dans ces conditions, les plantes détectent une réduction de la quantité relative de lumière rouge par rapport à la lumière rouge-lointain (rapport R/FR). Ce changement, perçu via le système des phytochromes, induit des modifications morphologiques telle qu'une élongation des tiges et des pétioles. Les protéines PIF4 et PIF5 (Phytochrome Interacting Factors) sont des régulateurs positifs du SAS et sont nécessaires pour une réponse complète (Lorrain et al, 2008). Ces facteurs de transcription régulent le SAS en induisant l'expression de gènes marqueurs de cette réponse tels que PIL1, ATHB2, XTR7 et HFR1 (Hornitschek et al, 2009; Lorrain et al, 2008).J'ai étudié les mécanismes moléculaires sous-jacents à la régulation du SAS par HFR1 (long Hypocotyl in FR light). HFR1 est un facteur de transcription type bHLH de la famille des PIF, quoique nous ayons découvert que HFR1 est une protéine ne se liant pas à Γ ADN. Nous avons montré que HFR1 inhibe un SAS exagéré en formant des heterodimères avec PIF4 et PIF5 (Hornitschek et al, 2009). Nous avons également montré que cette boucle de régulation négative est également un mécanisme important pour limiter la croissance de l'élongation dans des conditions de fortes températures. De plus l'accumulation et l'activité de HFR1 augmentent avec la température ce qui permet d'inhiber plus fortement l'effet activateur de PIF4 sur la croissance.Enfin, nous avons effectué une analyse génomique à large échelle afin de déterminer comment PIF4 et PIF5 régulent la croissance en réponse à l'ombre. Nous avons identifié les gènes cibles potentiels de PIF5, correspondant en partie à des gènes connus dans la réponse de l'évitement de l'ombre. Notre analyse de l'expression des gènes a également révélé un rôle important de PIF4 et PIF5 dans des conditions de croissance en plein soleil, probablement via la régulation de la sensibilité à l'auxine.

The long wavelength limit of hard thermal loop effective actions

We derive a closed form expression for the long wavelength limit of the effective action for hard thermal loops in an external gravitational field. It is a function of the metric, independent of time derivatives. It is compared and contrasted with the static limit, and with the corresponding limits in an external Yang-Mills field. (C) 2009 Elsevier B.V. All rights reserved.

Universality and Scaling Limit of Weakly-Bound Tetramers

The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two successive tetramer states, is revealed by considering a renormalized zero-range two-body interaction in bound state of four identical bosons. The tetramer energy spectrum is obtained by adding a boson to an Efimov bound state with energy B-3 in the unitary limit (for zero two-body binding energy or infinite two-body scattering length). Each excited N-th tetramer energy B-4((N)) is shown to slide along a scaling function as a short-range four-body scale is changed, emerging from the 3+1 threshold for a universal ratio B-4((N))/B-3 = 4.6, which does not depend on N. The new scale can also be revealed by a resonance in the atom-trimer recombination process.

Structure, mobility and clustering of interstitial O in La2CuO4+delta in the limit of small delta

Anelastic spectra (elastic energy absorption as a function of temperature) are reported which provide evidence that excess O in La2CuO4+delta starts forming two different types of defects already at very low concentrations, where no phase separation or changes in the type of O intercalation are believed to occur. The absorption peak with the lowest activation enthalpy, H/k(B) = 5600 K, is visible at lowest values of delta and is attributed to the hopping of single interstitial O2- ions. The second process, with a slightly slower dynamics, appears at higher values of delta and soon becomes preponderant over the former process. The latter process is proposed to be due to stable pairs of O atoms and is put in connection with the formation of partially covalent bonds between interstitial and apical oxygen; such bonds would reduce the doping efficiency of excess O at increasing delta. The geometry of the interstitial O defect is discussed. O 1998 Published by Elsevier B.V. B.V. All rights reserved.

Analysis of renal function after on and off pump coronary artery bypass grafting

Cardiopulmonary bypass (CPB) is often associated with renal dysfunction, as measured by plasma creatinine levels and hemodialysis rates. Aim. To compare creatinine clearance (CrCl), estimated with the Cockroft and Gault formula, between patients undergoing off-pump coronary artery bypass grafting (OPCAB) versus on-pump CABG (on-CAB). Material and methods. Between April 2008 and April 2009, 119 patients underwent coronary bypass graft surgery. Fifty-eight (58) of these patients underwent OPCAB while 61 had on-CAB. Creatinine clearance, plasma creatinine levels, and clinical outcome were compared between the groups. A creatinine clearance value of 50 mL/minute was accepted as the lowest limit of normal renal function. Results. There were two hospital deaths caused by sepses after pulmonary infection. Creatinine clearance (Preoperative OPCAB 73,64±33,72 x on-CAB 75,70±34,30mL/min; discharge OPCAB 75,73±35,07 x on-CAB 79,07±34,71 mL/ min; p=0,609), and creatinine levels (Preoperative OPCAB 1,04±0,38 x on-CAB 1,13±0,53 mg/dL; discharge OPCAB 1,12±0,79 x on-CAB 1,04±0,29mg/dL; p=0,407) did not show statistically inter-group differences. Conclusion. Deterioration in renal function is associated with higher rates of postoperative complications. No significant difference in CrCl could be demonstrated between the groups.

Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary

In this work, we are interested in the dynamic behavior of a parabolic problem with nonlinear boundary conditions and delay in the boundary. We construct a reaction-diffusion problem with delay in the interior, where the reaction term is concentrated in a neighborhood of the boundary and this neighborhood shrinks to boundary, as a parameter epsilon goes to zero. We analyze the limit of the solutions of this concentrated problem and prove that these solutions converge in certain continuous function spaces to the unique solution of the parabolic problem with delay in the boundary. This convergence result allows us to approximate the solution of equations with delay acting on the boundary by solutions of equations with delay acting in the interior and it may contribute to analyze the dynamic behavior of delay equations when the delay is at the boundary. (C) 2012 Elsevier Inc. All rights reserved.

Joint effects of pulmonary function and aerobic power on survival in a cohort of healthy adults

Objective measurements of physical fitness and pulmonary function are related individually to long-term survival, both in healthy people and in those who are ill. These factors are furthermore known to be related to one another physiologically in people with pulmonary disease, because advanced pulmonary disease causes ventilatory limitation to exercise. Healthy people do not have ventilatory limitation to exercise, but rather have ventilatory reserve. The relationship between pulmonary function and exercise performance in healthy people is minimal. Exercise performance has been shown to modify the effect of pulmonary function on mortality in people with chronic obstructive pulmonary disease, but the relationship between these factors in healthy people has not been studied and is not known. The purpose of this study is to quantify the joint effects of pulmonary function and exercise performance as these bear on mortality in a cohort of healthy adults. This investigation is an historical cohort study over 20 years of follow-up of 29,624 adults who had complete preventive medicine, spirometry and treadmill stress examinations at the Cooper Clinic in Dallas, Texas.^ In 20 years of follow-up, there were 738 evaluable deaths. Forced expiratory volume in one second (FEV$\sb1$) percent of predicted, treadmill time in minutes percent of predicted, age, gender, body mass index, baseline smoking status, serum glucose and serum total cholesterol were all significant, independent predictors of mortality risk. There were no frank interactions, although age had an important increasing effect on the risk associated with smoking when other covariates were controlled for in a proportional-hazards model. There was no confounding effect of exercise performance on pulmonary function. In agreement with the pertinent literature on independent effects, each unit increase in FEV$\sb1$ percent predicted was associated with about eight tenths of a percent reduction in adjusted mortality rate. The concept of physiologic reserve is useful in interpretation of the findings. Since pulmonary function does not limit exercise tolerance in healthy adults, it is reasonable to expect that exercise tolerance would not modify the effect of pulmonary function on mortality. Epidemiologic techniques are useful for elucidating physiological correlates of mortality risk. ^

Coordination of aproximations in secondary school students’ understanding of limit concept

The aim of this research is to characterize the coordination of the processes of approximation related to the understanding of the limit of a function. We analyze the answers of 64 post-secondary school students to 7 problems considering the dynamic and metric conception of limit of a function. Results indicate that the metric understanding of the limit in terms of inequality supports that the student is capable of coordinating the approximations in the domain and in the range when lateral approximations coincide. However, the student is not capable of this coordination when lateral approximations do not coincide. This indicates that the metric understanding of the limit begins with the previous construction of the dynamic conception in case of coincidence of the lateral approximations in the range.

Investigation of chromatic function in the normal and abnormal eye

This study examined the use of non-standard parameters to investigate the visual field, with particular reference to the detection of glaucomatous visual field loss. Evaluation of the new perimetric strategy for threshold estimation - FASTPAC, demonstrated a reduction in the examination time of normals compared to the standard strategy. Despite an increased within-test variability the FASTPAC strategy produced a similar mean sensitivity to the standard strategy, reducing the effects of patient fatigue. The new technique of Blue-Yellow perimetry was compared to White-White perimetry for the detection of glaucomatous field loss in OHT and POAG. Using a database of normal subjects, confidence limits for normality were constructed to account for the increased between-subject variability with increase in age and eccentricity and for the greater variability of the Blue-Yellow field compared to the White-White field. Effects of individual ocular media absorption had little effect on Blue-Yellow field variability. Total and pattern probability analysis revealed five of 27 OHTs to exhibit Blue-Yellow focal abnormalities; two of these patients subsequently developed White-White loss. Twelve of the 24 POAGs revealed wider and/or deeper Blue-Yellow loss compared with the White-White field. Blue-Yellow perimetry showed good sensitivity and specificity characteristics, however, lack of perimetric experience and the presence of cataract influenced the Blue-Yellow visual field and may confound the interpretation of Blue-Yellow visual field loss. Visual field indices demonstrated a moderate relationship to the structural parameters of the optic nerve head using scanning laser tomography. No abnormalities in Blue-Yellow or Red-Green colour CS was apparent for the OHT patients. A greater vulnerability of the SWS pathway in glaucoma was demonstrated using Blue-Yellow perimetry however predicting which patients may benefit from B-Y perimetric examination is difficult. Furthermore, cataract and the extent of the field loss may limit the extent to which the integrity of the SWS channels can be selectively examined.

Regeneration limit of classical Shannon capacity

Since Shannon derived the seminal formula for the capacity of the additive linear white Gaussian noise channel, it has commonly been interpreted as the ultimate limit of error-free information transmission rate. However, the capacity above the corresponding linear channel limit can be achieved when noise is suppressed using nonlinear elements; that is, the regenerative function not available in linear systems. Regeneration is a fundamental concept that extends from biology to optical communications. All-optical regeneration of coherent signal has attracted particular attention. Surprisingly, the quantitative impact of regeneration on the Shannon capacity has remained unstudied. Here we propose a new method of designing regenerative transmission systems with capacity that is higher than the corresponding linear channel, and illustrate it by proposing application of the Fourier transform for efficient regeneration of multilevel multidimensional signals. The regenerative Shannon limit -the upper bound of regeneration efficiency -is derived. © 2014 Macmillan Publishers Limited. All rights reserved.

Tau Functions and the Limit of Block Toeplitz Determinants

International audience

Influence of Cochlear Function on Auditory Temporal Resolution in Tinnitus Patients

Our aim was to analyze the influence of subtle cochlear damage on temporal auditory resolution in tinnitus patients. Forty-eight subjects (hearing threshold <= 25 dB HL) were assigned to one of two experimental groups: 28 without auditory complaints (mean age, 28.8 years) and 20 with tinnitus (mean age, 33.5 years). We analyzed distortion product otoacoustic emission growth functions (by threshold, slope, and estimated amplitude), extended high-frequency thresholds, and the Gaps-in-Noise test. There were differences between the groups, principally in the extended high-frequency thresholds and the Gaps-in-Noise test results. Our findings suggest that subtle peripheral hearing impairment affects temporal resolution in tinnitus, even when pure-tone thresholds as conventionally measured appear normal. Copyright (C) 2010 S. Karger AG, Basel

Patients Receiving Physical Rehabilitation: Records of Sexual Function Before the Introduction of Erectogenic Drugs

The objective of this study is to evaluate the entries associated to the sexual function of patients undergoing physical disability rehabilitation, as well as the course of changes and medical approach through a retrospective review of medical charts. Methods: Medical records referring to the period between July and September, 1998 were evaluated. The data was divided into two groups, records containing physician`s entries on sexual function and/or entries of other health care professionals. The following aspects were investigated: whether complaints were spontaneously voiced by the patient, and whether diagnosis had been reached, with corresponding management. Results: Out of 245 medical records investigated, 17 (6.9%) contained clinical observations on the sexual function; out of those, 14 reached diagnosis. Twelve records (4.9%) had information by non-medical healthcare professionals. Out of 17 entries by doctors, 16 referred to male patients, which was found to be significant (p = 0.0202). Conclusions: Records for the sexual function of patients undergoing physical rehabilitation are scarce. In this population, the sexual function of male patients had more extensive investigation on the part of physicians when compared to other health care professionals.