On the sharpness of assumptions in the Federer theorem

2021 ◽  
Vol 33 (1) ◽  
pp. 85-96
Author(s):  
B. Makarov ◽  
A. Podkorytov
Keyword(s):  
Critical Values ◽  
Content Type ◽  
Smooth Map

The Federer theorem deals with the “massiveness” of the set of critical values for a t t -smooth map acting from R m \mathbb R^m to R n \mathbb R^n : it claims that the Hausdorff p p -measure of this set is zero for certain p p . If n ≥ m n\ge m , it has long been known that the assumption of that theorem relating the parameters m , n , t , p m,n,t,p is sharp. Here it is shown by an example that this assumption is also sharp for n > m n>m .

Versal topological stratification and the bifurcation geometry of map-germs of the plane

1990 ◽  
Vol 107 (1) ◽  
pp. 127-147 ◽  
Author(s):  
J. H. Rieger
Keyword(s):  
Differential Geometry ◽  
Classical Result ◽  
Smooth Surface ◽  
Critical Values ◽  
Central Projections ◽  
Apparent Contour ◽  
Smooth Map

The set of critical values of a map of the plane (of corank 1) can be regarded as the apparent contour of a smooth surface. It is a classical result of Whitney[13] that generically the apparent contour is a smooth fold curve with isolated cusps and transverse fold crossings. More recent classifications of smooth map-germs of the plane of low codimension (occurring in generic 2- or 3-parameter families), e.g. in [1, 5, 7], were motivated by a question in differential geometry: given any smooth surface which is generically embedded in ℝ3, produce a list of all possible (orthogonal or central) projections of such a surface.

scholarly journals Impact of Respiration on Resistance of Lactobacillus plantarum WCFS1 to Acid Stress

2012 ◽  
Vol 78 (11) ◽  
pp. 4062-4064 ◽  
Author(s):  
Masayuki Watanabe ◽  
Stijn van der Veen ◽  
Tjakko Abee
Keyword(s):  
Stationary Phase ◽  
Lactobacillus Plantarum ◽  
Negative Impact ◽  
Membrane Integrity ◽  
Acid Stress ◽  
Critical Values ◽  
Content Type ◽  
Viability Loss

ABSTRACTThis study shows that growth under respiration conditions has a negative impact on the survival of stationary-phase cultures ofLactobacillus plantarumWCFS1 at low pHs and that viability loss at critical values is associated with the formation of radicals and loss of membrane integrity.

scholarly journals The multiple identities of sustainability

2015 ◽  
Vol 12 (3) ◽  
pp. 194-205 ◽  
Author(s):  
Catalin Ratiu ◽  
Beverlee B. Anderson
Keyword(s):  
Sustainable Development ◽  
Business Education ◽  
Design Methodology ◽  
Multiple Identities ◽  
Critical Values ◽  
Clear Understanding ◽  
Content Type ◽  
Shared Understandings

Purpose – Sustainability is one of the most complex composite constructs to have emerged in the last decades. Having a clear understanding of its meanings is critical as actions based on these understandings impact all walks of life. The purpose of this paper is to track the conceptualizations and measurements of sustainable development in the areas of government, business, education, and the trades. Design/methodology/approach – Through a multi-method design, the authors explore what stakeholders in these groups value in sustainability by observing where they develop initiatives, invest funds, and report progress. Findings – What emerges is a picture of diverse views and multiple identities, driven by distinct logics and motives. Originality/value – Based on these findings, the authors propose that, instead of reconciling these diverse perspectives, the authors might focus on constructing shared understandings around critical values.

Commercial hard drive failures in a data center application and the role of SMART attribute information

Circuit World ◽  
2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Michael Pecht ◽  
Edmond Elburn
Keyword(s):  
Data Center ◽  
Hard Disk Drives ◽  
Hard Disk ◽  
Critical Values ◽  
Commercial Application ◽  
Disk Drives ◽  
Data Set ◽  
Content Type ◽  
Hard Drives ◽  
Attribute Information

Purpose The reliability of hard disk drives (HDDs) is dependent on the drive construction, as well as the operational and environmental conditions, in which the drive is used. Self-monitoring, analysis and reporting technology (SMART) continuously provides attribute information on HDD usage and degradation characteristics. Design/methodology/approach This paper aims to analyze the reported failures Backblaze data set for ST3000DM001 HDDs intended for desktop applications within a data center application. SMART attributes used for predicting failure are discussed and analyzed over the life of many hard drives. A case study on the actual use of SMART and the limitations of the SMART attribute information, the data center’s information and the use of desktop drives in a commercial application are also presented. Findings The analysis showed that when Backblaze started to record the data, the hard disk drives had already worked for a while with power on hours mean and standard deviation of 6,683 and 365 h, respectively. Therefore, it is possible that some SMART attributes have experienced critical values that have not been recorded by Backblaze. Additionally, 8% of all ST3000DM001 drives that Backblaze labeled as failed did not have raw values above zero for the five attributes that were considered critical. Backblaze recorded 25 SMART attributes in total for all hard disk drive brands where ST3000DM001 having 83.3% of the attributes ranked as the drive with the most attributes recorded. Having more recorded attributes with critical values leads to label more ST3000DM001 drives as failed while there might be the hard drives from the other brands or part numbers that experienced more critical SMART attributes but were not labeled as failed because of the lack of records. Originality/value It is an original work carried out at the Center for Advanced Life Cycle Engineering, University of Maryland.

The More Control, the Better?

2014 ◽  
Vol 26 (2) ◽  
pp. 81-91 ◽  
Author(s):  
Jeeyun Oh ◽  
Mun-Young Chung ◽  
Sangyong Han
Keyword(s):  
Mixed Design ◽  
Negative Effects ◽  
Story Structure ◽  
Content Type ◽  
High User ◽  
User Control ◽  
Rigorous Research ◽  
Control Versus ◽  
The Media ◽  
The Impact

Despite of the popularity of interactive movie trailers, rigorous research on one of the most apparent features of these interfaces – the level of user control – has been scarce. This study explored the effects of user control on users’ immersion and enjoyment of the movie trailers, moderated by the content type. We conducted a 2 (high user control versus low user control) × 2 (drama film trailer versus documentary film trailer) mixed-design factorial experiment. The results showed that the level of user control over movie trailer interfaces decreased users’ immersion when the trailer had an element of traditional story structure, such as a drama film trailer. Participants in the high user control condition answered that they were less fascinated with, absorbed in, focused on, mentally involved with, and emotionally affected by the movie trailer than participants in the low user control condition only with the drama movie trailer. The negative effects of user control on the level of immersion for the drama trailer translated into users’ enjoyment. The impact of user control over interfaces on immersion and enjoyment varies depending on the nature of the media content, which suggests a possible trade-off between the level of user control and entertainment outcomes.

Critical Values

2008 ◽  
Vol 3 (3) ◽  
pp. 201-202
Author(s):  
Keith Krehbiel
Keyword(s):  
Critical Values

GREEN OPEN ACCESS IN KENYA: A REVIEW OF THE CONTENT, POLICIES AND USAGE OF INSTITUTIONAL REPOSITORIES

Mousaion ◽  
2016 ◽  
Vol 33 (3) ◽  
pp. 25-54
Author(s):  
Wanyenda Leonard Chilimo
Keyword(s):  
Developing Countries ◽  
Open Access ◽  
Descriptive Study ◽  
Google Scholar ◽  
Research Institutions ◽  
Journal Articles ◽  
Content Type ◽  
Institutional Repositories ◽  
Current State ◽  
Theses And Dissertations

 There is scant research-based evidence on the development and adoption of open access (OA) and institutional repositories (IRs) in Africa, and in Kenya in particular. This article reports on a study that attempted to fill that gap and provide feedback on the various OA projects and advocacy work currently underway in universities and research institutions in Kenya and in other developing countries. The article presents the findings of a descriptive study that set out to evaluate the current state of IRs in Kenya. Webometric approaches and interviews with IR managers were used to collect the data for the study. The findings showed that Kenya has made some progress in adopting OA with a total of 12 IRs currently listed in the Directory of Open Access Repositories (OpenDOAR) and five mandatory self-archiving policies listed in the Registry of Open Access Repositories Mandatory Archiving Policies (ROARMAP). Most of the IRs are owned by universities where theses and dissertations constitute the majority of the content type followed by journal articles. The results on the usage and impact of materials deposited in Kenyan IRs indicated that the most viewed publications in the repositories also received citations in Google Scholar, thereby signifying their impact and importance. The results also showed that there was a considerable interest in Swahili language publications among users of the repositories in Kenya.

Motivating Exercise Through Social Media: Is a Picture Always Worth a Thousand Words?

2018 ◽  
Author(s):  
Caitlyn Johnston ◽  
William E. Davis
Keyword(s):  
Social Media ◽  
Individual Differences ◽  
Experimental Design ◽  
Health Behaviors ◽  
Media Content ◽  
Exercise Motivation ◽  
Positive Health ◽  
Content Type ◽  
Within Subjects

In the present study, we examined how the influence of exercise-related social media content on exercise motivation might differ across content type (with images vs. without images) and account type (individual vs. corporate). Using a 2 × 2 within-subjects experimental design, 229 participants viewed a series of 40 actual social media posts across the four conditions (individual posts with images, corporate posts with images, individual posts without images, and corporate posts without images) in a randomized order. Participants rated the extent to which they felt each social media post motivated them to exercise, would motivate others to exercise, and was posted for extrinsic reasons. Participants also completed other measures of individual differences including their own exercise motivation. Posts with images from individuals were more motivating than posts with images from corporations; however, corporate posts without images were more motivating than posts without images from individuals. Participants expected others to be similarly motivated by the stimuli, and perceived corporate posts as having been posted for more extrinsic reasons than individuals’ posts. These findings enhance our understanding of how social media may be used to promote positive health behaviors.

Evaluation of gamma thalamotomy for parkinsonian and other tremors: survival of neurons adjacent to the thalamic lesion after gamma thalamotomy

2000 ◽  
Vol 93 (supplement_3) ◽  
pp. 120-127 ◽  
Author(s):  
Chihiro Ohye ◽  
Tohru Shibazaki ◽  
Junji Ishihara ◽  
Jie Zhang
Keyword(s):  
Tissue Reaction ◽  
Vascular Lesions ◽  
Thalamic Lesion ◽  
Mr Images ◽  
Unsatisfactory Result ◽  
Content Type ◽  
Rhythmic Discharge ◽  
Latent Interval ◽  
Fine Print

Object. The effects of gamma thalamotomy for parkinsonian and other kinds of tremor were evaluated. Methods. Thirty-six thalamotomies were performed in 31 patients by using a 4-mm collimator. The maximum dose was 150 Gy in the initial six cases, which was reduced to 130 Gy thereafter. The longest follow-up period was 6 years. The target was determined on T2-weighted and proton magnetic resonance (MR) images. The point chosen was in the lateral-most part of the thalamic ventralis intermedius nucleus. This is in keeping with open thalamotomy as practiced at the authors' institution. In 15 cases, gamma thalamotomy was the first surgical procedure. In other cases, previous therapeutic or vascular lesions were visible to facilitate targeting. Two types of tissue reaction were onserved on MR imaging: a simple oval shape and a complex irregular shape. Neither of these changes affected the clinical course. In the majority of cases, the tremor subsided after a latent interval of approximately 1 year after irradiation. The earliest response was demonstrated at 3 months. In five cases the tremor remained. In four of these cases, a second radiation session was administered. One of these four patients as well as another patient with an unsatisfactory result underwent open thalamotomy with microrecording. In both cases, depth recording adjacent to the necrotic area revealed normal neuronal activity, including the rhythmic discharge of tremor. Minor coagulation was performed and resulted in immediate and complete arrest of the remaining tremor. Conclusions. Gamma thalamotomy for Parkinson's disease seems to be an alternative useful method in selected cases.

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